[
  {
    "t": "000AYPA9AJ",
    "n": "Vector space",
    "a": [
      "linear-space"
    ],
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/vector-space/"
  },
  {
    "t": "000JFQGDXG",
    "n": "The integers are a Euclidean domain",
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/the-integers-are-a-euclidean-domain/"
  },
  {
    "t": "000MXHEY22",
    "n": "Sequential characterization of limits",
    "a": [
      "heine-definition-of-limit"
    ],
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/sequential-characterization-of-limits/"
  },
  {
    "t": "000NPTMX6J",
    "n": "Singular value decomposition",
    "k": "statement",
    "m": [
      "15A18",
      "15A23"
    ],
    "u": "/wiki/singular-value-decomposition/"
  },
  {
    "t": "0011MTQMR6",
    "n": "Quotient set",
    "a": [
      "quotient-by-an-equivalence-relation"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/quotient-set/"
  },
  {
    "t": "001B78R0DJ",
    "n": "Mutual independence of events",
    "a": [
      "mutually-independent-events"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/mutual-independence-of-events/"
  },
  {
    "t": "001CX45SWQ",
    "n": "Partition function",
    "k": "definition",
    "m": [
      "11P81"
    ],
    "u": "/wiki/partition-function-definition/"
  },
  {
    "t": "001T5FJDC1",
    "n": "Block diagonal matrix",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/block-diagonal-matrix/"
  },
  {
    "t": "002X7EK91H",
    "n": "Power series are differentiable inside the radius of convergence",
    "k": "statement",
    "m": [
      "30B10",
      "26A24"
    ],
    "u": "/wiki/power-series-are-differentiable-inside-the-radius-of-convergence/"
  },
  {
    "t": "003QDZ4T16",
    "n": "A function with zero derivative is constant",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/a-function-with-zero-derivative-is-constant/"
  },
  {
    "t": "003QP7A8HG",
    "n": "Closure is the set of limits of sequences",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/closure-is-the-set-of-limits-of-sequences/"
  },
  {
    "t": "003R0V5M7V",
    "n": "Differential equation",
    "k": "concept",
    "m": [
      "34A99"
    ],
    "u": "/wiki/differential-equation/"
  },
  {
    "t": "0044CPHJBV",
    "n": "Natural logarithm",
    "a": [
      "logarithm"
    ],
    "k": "definition",
    "m": [
      "33B10",
      "26A09"
    ],
    "u": "/wiki/natural-logarithm-definition/"
  },
  {
    "t": "004FH91BN5",
    "n": "Jump discontinuity",
    "k": "concept",
    "m": [
      "26A15"
    ],
    "u": "/wiki/jump-discontinuity/"
  },
  {
    "t": "004FRCXH6M",
    "n": "Exterior derivative",
    "k": "definition",
    "m": [
      "58A10"
    ],
    "u": "/wiki/exterior-derivative-definition/"
  },
  {
    "t": "004J7ZEFAT",
    "n": "Power set Boolean algebra",
    "k": "example",
    "m": [
      "06E05"
    ],
    "u": "/wiki/power-set-boolean-algebra/"
  },
  {
    "t": "004JW7A2N5",
    "n": "Square-free integer",
    "a": [
      "squarefree"
    ],
    "k": "definition",
    "m": [
      "11A51"
    ],
    "u": "/wiki/square-free-integer-definition/"
  },
  {
    "t": "0053CQE9Y2",
    "n": "Sylow p-subgroup",
    "k": "concept",
    "m": [
      "20D20"
    ],
    "u": "/wiki/sylow-p-subgroup/"
  },
  {
    "t": "005JT76HCK",
    "n": "A differentiable function is convex iff its derivative is increasing",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/a-differentiable-function-is-convex-iff-its-derivative-is-increasing/"
  },
  {
    "t": "005Q84BMAD",
    "n": "Taylor's theorem with the Cauchy remainder",
    "k": "statement",
    "m": [
      "41A80"
    ],
    "u": "/wiki/taylors-theorem-with-the-cauchy-remainder/"
  },
  {
    "t": "006BHFWMAP",
    "n": "Row equivalence",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/row-equivalence/"
  },
  {
    "t": "00758QM6JJ",
    "n": "The characteristic of an integral domain is zero or prime",
    "k": "statement",
    "m": [
      "13G05"
    ],
    "u": "/wiki/the-characteristic-of-an-integral-domain-is-zero-or-prime/"
  },
  {
    "t": "0076HWHGHQ",
    "n": "Quotient ring",
    "a": [
      "factor-ring"
    ],
    "k": "concept",
    "m": [
      "16D25"
    ],
    "u": "/wiki/quotient-ring/"
  },
  {
    "t": "007NPQX34K",
    "n": "Least common multiple",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/least-common-multiple/"
  },
  {
    "t": "007QED3E0Y",
    "n": "Variance",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/variance-definition/"
  },
  {
    "t": "00889YD15K",
    "n": "Dimension of the dual space",
    "k": "statement",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/dimension-of-the-dual-space/"
  },
  {
    "t": "008BH74D7R",
    "n": "Composite number",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/composite-number/"
  },
  {
    "t": "008TBCYDPX",
    "n": "Zero ring",
    "a": [
      "trivial-ring"
    ],
    "k": "example",
    "m": [
      "16B99"
    ],
    "u": "/wiki/zero-ring/"
  },
  {
    "t": "009892PZ30",
    "n": "Linear map of a matrix",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-map-of-a-matrix-definition/"
  },
  {
    "t": "00999TYPXB",
    "n": "Local maximum",
    "a": [
      "relative-maximum"
    ],
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/local-maximum-definition/"
  },
  {
    "t": "009CY8JXFX",
    "n": "Scaling a row scales the determinant",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/scaling-a-row-scales-the-determinant/"
  },
  {
    "t": "009QCP5T3Z",
    "n": "Sum of divisors",
    "a": [
      "sum-of-divisors-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/sum-of-divisors-definition/"
  },
  {
    "t": "009TEMTQKH",
    "n": "Stars and bars",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/stars-and-bars/"
  },
  {
    "t": "00A0RPAQ8A",
    "n": "Normed vector space",
    "k": "definition",
    "m": [
      "46B20"
    ],
    "u": "/wiki/normed-vector-space-definition/"
  },
  {
    "t": "00A2EDFT9Q",
    "n": "Principal ideal",
    "k": "definition",
    "m": [
      "13A15"
    ],
    "u": "/wiki/principal-ideal-definition/"
  },
  {
    "t": "00BE2J8H05",
    "n": "One-sided limit",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/one-sided-limit/"
  },
  {
    "t": "00BETAJNZ4",
    "n": "Platonic solid",
    "k": "definition",
    "m": [
      "51M20"
    ],
    "u": "/wiki/platonic-solid-definition/"
  },
  {
    "t": "00BKRZKMSS",
    "n": "Composition of linear maps",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/composition-of-linear-maps/"
  },
  {
    "t": "00BT70ND50",
    "n": "Picard–Lindelöf theorem in integral form",
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/picard-lindelof-theorem-in-integral-form/"
  },
  {
    "t": "00BWV5CKCF",
    "n": "Finite intersection property",
    "a": [
      "compactness-via-the-finite-intersection-property"
    ],
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/finite-intersection-property/"
  },
  {
    "t": "00C0BR7D7H",
    "n": "Graph",
    "k": "concept",
    "m": [
      "05C99"
    ],
    "u": "/wiki/graph/"
  },
  {
    "t": "00C2WN1H21",
    "n": "Polyhedron",
    "k": "definition",
    "m": [
      "52B10"
    ],
    "u": "/wiki/polyhedron-definition/"
  },
  {
    "t": "00C5P9JZBK",
    "n": "Euler–Mascheroni constant",
    "a": [
      "euler-constant"
    ],
    "k": "object",
    "m": [
      "11Y60"
    ],
    "u": "/wiki/euler-mascheroni-constant/"
  },
  {
    "t": "00CN2F997Q",
    "n": "Addition formula for Fibonacci numbers",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/addition-formula-for-fibonacci-numbers/"
  },
  {
    "t": "00CR00C9DN",
    "n": "Countably infinite set",
    "a": [
      "denumerable",
      "enumerable"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/countably-infinite-set/"
  },
  {
    "t": "00CT0PTH74",
    "n": "Graph isomorphism",
    "k": "definition",
    "m": [
      "05C60"
    ],
    "u": "/wiki/graph-isomorphism-definition/"
  },
  {
    "t": "00DGYY10FV",
    "n": "The logarithm grows slower than any power",
    "k": "statement",
    "m": [
      "26A12",
      "33B10"
    ],
    "u": "/wiki/the-logarithm-grows-slower-than-any-power/"
  },
  {
    "t": "00DRK90Z6K",
    "n": "Laws of exponents in a group",
    "a": [
      "power-laws-in-a-group"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/laws-of-exponents-in-a-group/"
  },
  {
    "t": "00DW862T78",
    "n": "−1 is a square modulo p if and only if p is not 3 modulo 4",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/1-is-a-square-modulo-p-if-and-only-if-p-is-not-3-modulo-4/"
  },
  {
    "t": "00E0YZCERH",
    "n": "Power set",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/power-set/"
  },
  {
    "t": "00EBGSR5NY",
    "n": "Euclidean vector",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/euclidean-vector-definition/"
  },
  {
    "t": "00EHX6FWC0",
    "n": "Root of a polynomial",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/root-of-a-polynomial-definition/"
  },
  {
    "t": "00EYM7MDKS",
    "n": "Hasse diagram",
    "a": [
      "order-diagram"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/hasse-diagram/"
  },
  {
    "t": "00F2JFA41J",
    "n": "Orbit",
    "k": "definition",
    "m": [
      "20B05"
    ],
    "u": "/wiki/orbit-definition/"
  },
  {
    "t": "00FSJTXPJM",
    "n": "Closed map",
    "a": [
      "closed-mapping"
    ],
    "k": "concept",
    "m": [
      "54C10"
    ],
    "u": "/wiki/closed-map/"
  },
  {
    "t": "00FWBN7F0Y",
    "n": "Congruence is compatible with addition",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/congruence-is-compatible-with-addition/"
  },
  {
    "t": "00FWNP9TXY",
    "n": "Contour integral",
    "a": [
      "curve-integral"
    ],
    "k": "definition",
    "m": [
      "30E20"
    ],
    "u": "/wiki/contour-integral-definition/"
  },
  {
    "t": "00GC8ZQP4Q",
    "n": "Zero of a holomorphic function",
    "a": [
      "zero",
      "root-of-a-function"
    ],
    "k": "concept",
    "m": [
      "30C15"
    ],
    "u": "/wiki/zero-of-a-holomorphic-function/"
  },
  {
    "t": "00GXTQMY8Z",
    "n": "Modular multiplicative inverse",
    "a": [
      "modular-inverse",
      "inverse-modulo-n"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/modular-multiplicative-inverse-definition/"
  },
  {
    "t": "00HF4RJ5QN",
    "n": "Direct product of groups",
    "k": "concept",
    "m": [
      "20E34"
    ],
    "u": "/wiki/direct-product-of-groups/"
  },
  {
    "t": "00HJCMC2CD",
    "n": "Conic section",
    "a": [
      "conic",
      "quadratic-curve"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/conic-section/"
  },
  {
    "t": "00HPT88ZX0",
    "n": "Norm of a Gaussian integer",
    "k": "definition",
    "m": [
      "11R11"
    ],
    "u": "/wiki/norm-of-a-gaussian-integer-definition/"
  },
  {
    "t": "00J3DCCEK5",
    "n": "Trisecting the angle",
    "a": [
      "angle-trisection"
    ],
    "k": "problem",
    "m": [
      "51M15"
    ],
    "u": "/wiki/trisecting-the-angle/"
  },
  {
    "t": "00J3KZP8Y0",
    "n": "Lower triangular matrix",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/lower-triangular-matrix/"
  },
  {
    "t": "00J8E3HX0M",
    "n": "Divisibility rule",
    "a": [
      "divisibility-test"
    ],
    "k": "concept",
    "m": [
      "11A63"
    ],
    "u": "/wiki/divisibility-rule/"
  },
  {
    "t": "00K0RF9BFY",
    "n": "Multinomial coefficient",
    "k": "definition",
    "m": [
      "05A10"
    ],
    "u": "/wiki/multinomial-coefficient-definition/"
  },
  {
    "t": "00K4FK4NBH",
    "n": "Nullity",
    "k": "definition",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/nullity-definition/"
  },
  {
    "t": "00K7ASZ1PR",
    "n": "Non-uniqueness for a non-Lipschitz equation",
    "k": "counterexample",
    "m": [
      "34A12"
    ],
    "u": "/wiki/non-uniqueness-for-a-non-lipschitz-equation/"
  },
  {
    "t": "00KAFBR32E",
    "n": "Intermediate value theorem",
    "a": [
      "bolzano-theorem"
    ],
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/intermediate-value-theorem/"
  },
  {
    "t": "00KDZRW4C0",
    "n": "Determinant",
    "k": "concept",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant/"
  },
  {
    "t": "00KRCVE7CK",
    "n": "Modulus of the conjugate",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/modulus-of-the-conjugate/"
  },
  {
    "t": "00MHHZ9SNE",
    "n": "Prime ideal",
    "k": "concept",
    "m": [
      "13A15"
    ],
    "u": "/wiki/prime-ideal/"
  },
  {
    "t": "00MRN0FARV",
    "n": "Independent and identically distributed random variables",
    "a": [
      "iid",
      "i-i-d",
      "independent-identically-distributed"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independent-and-identically-distributed-random-variables/"
  },
  {
    "t": "00MS9VMQ9Z",
    "n": "Every vector space has a basis",
    "k": "statement",
    "m": [
      "15A03",
      "03E25"
    ],
    "u": "/wiki/every-vector-space-has-a-basis/"
  },
  {
    "t": "00N3T18QNA",
    "n": "Saddle point",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/saddle-point-definition/"
  },
  {
    "t": "00N5FHP1CV",
    "n": "Change of variables in multiple integrals",
    "a": [
      "substitution-rule-several-variables",
      "jacobian-change-of-variables"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/change-of-variables-in-multiple-integrals/"
  },
  {
    "t": "00NBBSXRQS",
    "n": "Prior probability",
    "a": [
      "prior",
      "prior-distribution"
    ],
    "k": "concept",
    "m": [
      "62F15"
    ],
    "u": "/wiki/prior-probability/"
  },
  {
    "t": "00NZKRSWNX",
    "n": "Complex sine and cosine",
    "a": [
      "complex-sine",
      "complex-cosine"
    ],
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-sine-and-cosine/"
  },
  {
    "t": "00PPY3RPNB",
    "n": "Power of a point",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/power-of-a-point-definition/"
  },
  {
    "t": "00QN1N6MNT",
    "n": "Positive definite quadratic form",
    "k": "definition",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/positive-definite-quadratic-form-definition/"
  },
  {
    "t": "00QSK85Y2X",
    "n": "Primitive element of a finite field",
    "k": "concept",
    "m": [
      "12E20"
    ],
    "u": "/wiki/primitive-element-of-a-finite-field/"
  },
  {
    "t": "00R0X1WGPX",
    "n": "Compact set",
    "k": "definition",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-set-definition/"
  },
  {
    "t": "00R1JDDV5X",
    "n": "Arc length parametrisation",
    "k": "definition",
    "m": [
      "53A04"
    ],
    "u": "/wiki/arc-length-parametrisation-definition/"
  },
  {
    "t": "00R4MWW532",
    "n": "Derivative of sine",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivative-of-sine/"
  },
  {
    "t": "00RA98X2CP",
    "n": "Divergence of the sum of the reciprocals of the primes",
    "k": "statement",
    "m": [
      "11N05"
    ],
    "u": "/wiki/divergence-of-the-sum-of-the-reciprocals-of-the-primes/"
  },
  {
    "t": "00RE1R4W7N",
    "n": "Second-countable space",
    "k": "definition",
    "m": [
      "54D70"
    ],
    "u": "/wiki/second-countable-space-definition/"
  },
  {
    "t": "00S7C68D51",
    "n": "Absolute value",
    "k": "definition",
    "m": [
      "26A03"
    ],
    "u": "/wiki/absolute-value-definition/"
  },
  {
    "t": "00SB5EA3VW",
    "n": "Asymptotic equivalence",
    "k": "definition",
    "m": [
      "41A60"
    ],
    "u": "/wiki/asymptotic-equivalence-definition/"
  },
  {
    "t": "00SPJSDT3Z",
    "n": "Gram matrix",
    "k": "concept",
    "m": [
      "15A63",
      "15B57"
    ],
    "u": "/wiki/gram-matrix/"
  },
  {
    "t": "00SQGJNRTB",
    "n": "Event",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/event-definition/"
  },
  {
    "t": "00SVP6W3CB",
    "n": "Exponential growth and decay",
    "k": "example",
    "m": [
      "34A05"
    ],
    "u": "/wiki/exponential-growth-and-decay/"
  },
  {
    "t": "00SW8B91E7",
    "n": "Transcendental element",
    "k": "definition",
    "m": [
      "12F20"
    ],
    "u": "/wiki/transcendental-element-definition/"
  },
  {
    "t": "00T5EPFQB9",
    "n": "Little o notation",
    "k": "concept",
    "m": [
      "41A60"
    ],
    "u": "/wiki/little-o-notation/"
  },
  {
    "t": "00TQV3F5S4",
    "n": "Ramsey's theorem",
    "k": "statement",
    "m": [
      "05D10",
      "05C55"
    ],
    "u": "/wiki/ramseys-theorem/"
  },
  {
    "t": "00WAVB68F9",
    "n": "Picard operator",
    "k": "definition",
    "m": [
      "34A12",
      "47H10"
    ],
    "u": "/wiki/picard-operator-definition/"
  },
  {
    "t": "00X2A9G9W3",
    "n": "Irreducible polynomial",
    "k": "definition",
    "m": [
      "12E05"
    ],
    "u": "/wiki/irreducible-polynomial-definition/"
  },
  {
    "t": "00Y5QZ82AA",
    "n": "Lotka–Volterra equations",
    "a": [
      "predator-prey-equations",
      "lotka-volterra-predator-prey-model"
    ],
    "k": "example",
    "m": [
      "92D25",
      "34C25"
    ],
    "u": "/wiki/lotka-volterra-equations/"
  },
  {
    "t": "00Y9N80VSS",
    "n": "A finite group is nilpotent iff it is the product of its Sylow subgroups",
    "k": "statement",
    "m": [
      "20F18",
      "20D15"
    ],
    "u": "/wiki/a-finite-group-is-nilpotent-iff-it-is-the-product-of-its-sylow-subgroups/"
  },
  {
    "t": "00YC1D652K",
    "n": "Linear subspace",
    "a": [
      "vector-subspace"
    ],
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-subspace/"
  },
  {
    "t": "00YH28R457",
    "n": "Volume of a ball in R^n",
    "a": [
      "volume-of-an-n-ball"
    ],
    "k": "statement",
    "m": [
      "28A75"
    ],
    "u": "/wiki/volume-of-a-ball-in-r-n/"
  },
  {
    "t": "00Z1YBJJW8",
    "n": "Arcsine",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/arcsine/"
  },
  {
    "t": "00ZEBSMNNV",
    "n": "Additivity of line integrals under concatenation",
    "a": [
      "line-integral-over-a-sum-of-paths"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/additivity-of-line-integrals-under-concatenation/"
  },
  {
    "t": "00ZG9Y9TR4",
    "n": "Topological embedding",
    "a": [
      "embedding"
    ],
    "k": "concept",
    "m": [
      "54C25"
    ],
    "u": "/wiki/topological-embedding/"
  },
  {
    "t": "010JCV9J4E",
    "n": "Ordered field",
    "k": "definition",
    "m": [
      "12J15"
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    "u": "/wiki/ordered-field-definition/"
  },
  {
    "t": "010PKCQPXP",
    "n": "Uniqueness of finite fields of a given order",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/uniqueness-of-finite-fields-of-a-given-order/"
  },
  {
    "t": "010QVB71T2",
    "n": "Hensel's lemma",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/hensels-lemma/"
  },
  {
    "t": "0110GBHPPB",
    "n": "Recurrence for Bell numbers",
    "k": "statement",
    "m": [
      "11B73"
    ],
    "u": "/wiki/recurrence-for-bell-numbers/"
  },
  {
    "t": "0112DTS464",
    "n": "Image of a homomorphism",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/image-of-a-homomorphism-definition/"
  },
  {
    "t": "011C29Q1S1",
    "n": "Partial order",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/partial-order-definition/"
  },
  {
    "t": "011EJQWWJS",
    "n": "Strictly monotone function",
    "k": "concept",
    "m": [
      "26A48"
    ],
    "u": "/wiki/strictly-monotone-function/"
  },
  {
    "t": "011HV2GAWF",
    "n": "A convex function on an open interval is continuous",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/a-convex-function-on-an-open-interval-is-continuous/"
  },
  {
    "t": "011K11VPJN",
    "n": "Jordan–Chevalley decomposition",
    "k": "statement",
    "m": [
      "15A21",
      "15A20"
    ],
    "u": "/wiki/jordan-chevalley-decomposition/"
  },
  {
    "t": "0125QVNCFQ",
    "n": "Evaluation homomorphism",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/evaluation-homomorphism-definition/"
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  {
    "t": "012C7GFF20",
    "n": "1 + x is at most exp x",
    "k": "statement",
    "m": [
      "33B10",
      "26D15"
    ],
    "u": "/wiki/1-x-is-at-most-exp-x/"
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  {
    "t": "012PBA0FMD",
    "n": "Hölder continuity",
    "a": [
      "holder-condition",
      "holder-continuous-map"
    ],
    "k": "concept",
    "m": [
      "26A16"
    ],
    "u": "/wiki/holder-continuity/"
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  {
    "t": "012RYET5E2",
    "n": "Reduction formula",
    "k": "concept",
    "m": [
      "26A36"
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    "u": "/wiki/reduction-formula/"
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  {
    "t": "0135XZZQ8M",
    "n": "Differentiable function of several variables",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/differentiable-function-of-several-variables-definition/"
  },
  {
    "t": "013AHC4DRT",
    "n": "exp z = 1 iff z is an integer multiple of 2πi",
    "a": [
      "kernel-of-the-exponential"
    ],
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/exp-z-1-iff-z-is-an-integer-multiple-of-2-i/"
  },
  {
    "t": "01441KDGBY",
    "n": "Existence of splitting fields",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/existence-of-splitting-fields/"
  },
  {
    "t": "0146MBQNNE",
    "n": "Strict differentiability",
    "k": "definition",
    "m": [
      "26B05"
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    "u": "/wiki/strict-differentiability-definition/"
  },
  {
    "t": "014E1DZQE8",
    "n": "Semidirect product",
    "k": "definition",
    "m": [
      "20E22"
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    "u": "/wiki/semidirect-product-definition/"
  },
  {
    "t": "014PEBGDYF",
    "n": "Chernoff bound",
    "k": "statement",
    "m": [
      "60E15"
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    "u": "/wiki/chernoff-bound/"
  },
  {
    "t": "0151VYVX27",
    "n": "Cayley's theorem",
    "k": "statement",
    "m": [
      "20B30"
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    "u": "/wiki/cayleys-theorem/"
  },
  {
    "t": "015KK993C5",
    "n": "Integral equation form of an initial value problem",
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/integral-equation-form-of-an-initial-value-problem/"
  },
  {
    "t": "0167F9B344",
    "n": "Glide reflection",
    "a": [
      "transflection"
    ],
    "k": "concept",
    "m": [
      "51F20"
    ],
    "u": "/wiki/glide-reflection/"
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  {
    "t": "016PE4VZ8Q",
    "n": "Leibniz formula for determinants",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/leibniz-formula-for-determinants/"
  },
  {
    "t": "017BPGVEE8",
    "n": "Principal branch",
    "a": [
      "principal-value"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/principal-branch/"
  },
  {
    "t": "017BR1M98J",
    "n": "Alternating series",
    "k": "definition",
    "m": [
      "40A05"
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    "u": "/wiki/alternating-series-definition/"
  },
  {
    "t": "017DH8WXTE",
    "n": "Riemann's criterion for integrability",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemanns-criterion-for-integrability/"
  },
  {
    "t": "017E5PRS1Q",
    "n": "Platonic solid",
    "a": [
      "regular-polyhedron"
    ],
    "k": "concept",
    "m": [
      "51M20"
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    "u": "/wiki/platonic-solid/"
  },
  {
    "t": "017SRZ7NE9",
    "n": "Dyck words are counted by Catalan numbers",
    "k": "statement",
    "m": [
      "05A15"
    ],
    "u": "/wiki/dyck-words-are-counted-by-catalan-numbers/"
  },
  {
    "t": "01826KMG2H",
    "n": "Prime number",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/prime-number/"
  },
  {
    "t": "018GTRS7A4",
    "n": "Vector-valued function",
    "a": [
      "vector-function"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/vector-valued-function/"
  },
  {
    "t": "018W3V3TCT",
    "n": "Finite-dimensional vector space",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/finite-dimensional-vector-space-definition/"
  },
  {
    "t": "0194DY35BG",
    "n": "Rolle's theorem",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/rolles-theorem/"
  },
  {
    "t": "01991NCP7H",
    "n": "Residue at a simple pole",
    "a": [
      "residue-formula-for-simple-poles"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/residue-at-a-simple-pole/"
  },
  {
    "t": "019H1Z6419",
    "n": "Derivative of the complex exponential",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/derivative-of-the-complex-exponential/"
  },
  {
    "t": "019MA1VTR2",
    "n": "Root of a polynomial",
    "a": [
      "zero-of-a-polynomial"
    ],
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/root-of-a-polynomial/"
  },
  {
    "t": "019NFGFPR5",
    "n": "Unit of a ring",
    "k": "definition",
    "m": [
      "16U60"
    ],
    "u": "/wiki/unit-of-a-ring-definition/"
  },
  {
    "t": "019QZ6RRVH",
    "n": "Integral test",
    "a": [
      "integral-test-for-convergence"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/integral-test/"
  },
  {
    "t": "019VSXSFMQ",
    "n": "Maximal solution",
    "a": [
      "maximal-interval-of-existence"
    ],
    "k": "definition",
    "m": [
      "34A12"
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    "u": "/wiki/maximal-solution-definition/"
  },
  {
    "t": "01A0MK1730",
    "n": "Weierstrass function",
    "k": "counterexample",
    "m": [
      "26A27"
    ],
    "u": "/wiki/weierstrass-function/"
  },
  {
    "t": "01A2EGXJEM",
    "n": "First derivative test",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/first-derivative-test/"
  },
  {
    "t": "01A8JGR4JM",
    "n": "cos pi = -1",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/cos-pi-1/"
  },
  {
    "t": "01AAYNSBN6",
    "n": "Distance from a point to a line",
    "k": "statement",
    "m": [
      "51N20"
    ],
    "u": "/wiki/distance-from-a-point-to-a-line/"
  },
  {
    "t": "01AHG4G9RT",
    "n": "Preimage of a set",
    "a": [
      "inverse-image"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/preimage-of-a-set/"
  },
  {
    "t": "01APZ8GDQH",
    "n": "Chapman–Kolmogorov equation",
    "a": [
      "chapman-kolmogorov-equations"
    ],
    "k": "statement",
    "m": [
      "60J10"
    ],
    "u": "/wiki/chapman-kolmogorov-equation/"
  },
  {
    "t": "01AXG9KZQF",
    "n": "Block matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/block-matrix-definition/"
  },
  {
    "t": "01BD2TFFP4",
    "n": "Bias of an estimator",
    "k": "definition",
    "m": [
      "62F10"
    ],
    "u": "/wiki/bias-of-an-estimator-definition/"
  },
  {
    "t": "01BX15HSRR",
    "n": "Well-ordering principle",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/well-ordering-principle/"
  },
  {
    "t": "01CGSJ0GNQ",
    "n": "Well-order",
    "a": [
      "well-ordering",
      "well-ordered-set"
    ],
    "k": "concept",
    "m": [
      "06A05"
    ],
    "u": "/wiki/well-order/"
  },
  {
    "t": "01CJRJKDAA",
    "n": "The complex numbers cannot be ordered",
    "k": "statement",
    "m": [
      "12J15"
    ],
    "u": "/wiki/the-complex-numbers-cannot-be-ordered/"
  },
  {
    "t": "01CS8Q2APC",
    "n": "Characteristic subgroup",
    "k": "definition",
    "m": [
      "20F28"
    ],
    "u": "/wiki/characteristic-subgroup-definition/"
  },
  {
    "t": "01CYW8S04D",
    "n": "Totally disconnected space",
    "k": "definition",
    "m": [
      "54D05"
    ],
    "u": "/wiki/totally-disconnected-space-definition/"
  },
  {
    "t": "01DSNP0B4R",
    "n": "Periodic orbit",
    "a": [
      "closed-orbit",
      "cycle"
    ],
    "k": "definition",
    "m": [
      "34C25",
      "37C27"
    ],
    "u": "/wiki/periodic-orbit-definition/"
  },
  {
    "t": "01DSVCRF6X",
    "n": "Ramsey number",
    "k": "definition",
    "m": [
      "05C55",
      "05D10"
    ],
    "u": "/wiki/ramsey-number-definition/"
  },
  {
    "t": "01E7SWYJX3",
    "n": "Normality via left and right cosets",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/normality-via-left-and-right-cosets/"
  },
  {
    "t": "01E9MNJYEX",
    "n": "Public-key cryptography",
    "a": [
      "asymmetric-cryptography"
    ],
    "k": "concept",
    "m": [
      "94A60"
    ],
    "u": "/wiki/public-key-cryptography/"
  },
  {
    "t": "01EK923SKP",
    "n": "Inner product space",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/inner-product-space-definition/"
  },
  {
    "t": "01EQPZ6RYZ",
    "n": "Law of a random variable",
    "a": [
      "distribution-of-a-random-variable",
      "pushforward-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/law-of-a-random-variable/"
  },
  {
    "t": "01EXSMK864",
    "n": "Determinant of a scalar multiple",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-scalar-multiple/"
  },
  {
    "t": "01EY0EM7RP",
    "n": "Extensions of solvable groups are solvable",
    "k": "statement",
    "m": [
      "20F16"
    ],
    "u": "/wiki/extensions-of-solvable-groups-are-solvable/"
  },
  {
    "t": "01EY3VR7ZD",
    "n": "Urysohn's lemma",
    "a": [
      "urysohn-lemma"
    ],
    "k": "statement",
    "m": [
      "54D15"
    ],
    "u": "/wiki/urysohns-lemma/"
  },
  {
    "t": "01FPXMTBX1",
    "n": "Composition of injections is injective",
    "a": [
      "injective-comp"
    ],
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/composition-of-injections-is-injective/"
  },
  {
    "t": "01G1WY1GVX",
    "n": "Pythagorean triple",
    "k": "definition",
    "m": [
      "11D09"
    ],
    "u": "/wiki/pythagorean-triple-definition/"
  },
  {
    "t": "01GBHQ5ABF",
    "n": "Periodic continued fraction",
    "k": "concept",
    "m": [
      "11A55"
    ],
    "u": "/wiki/periodic-continued-fraction/"
  },
  {
    "t": "01GTP8M5RG",
    "n": "Order of cardinals",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/order-of-cardinals-definition/"
  },
  {
    "t": "01H6QKWGDH",
    "n": "Generalised eigenvector",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/generalised-eigenvector/"
  },
  {
    "t": "01HR2AH0BX",
    "n": "Divergent sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/divergent-sequence-definition/"
  },
  {
    "t": "01HT2CH8BH",
    "n": "Equivalence classes form a partition",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-classes-form-a-partition/"
  },
  {
    "t": "01J7FZ65J0",
    "n": "Maximal solution",
    "k": "concept",
    "m": [
      "34A12"
    ],
    "u": "/wiki/maximal-solution/"
  },
  {
    "t": "01J8AMV9RS",
    "n": "Legendre symbol",
    "k": "definition",
    "m": [
      "11A15"
    ],
    "u": "/wiki/legendre-symbol-definition/"
  },
  {
    "t": "01JADB9VW5",
    "n": "Vandermonde's identity",
    "k": "statement",
    "m": [
      "05A19"
    ],
    "u": "/wiki/vandermondes-identity/"
  },
  {
    "t": "01KJJ9A400",
    "n": "Regular polygon",
    "k": "concept",
    "m": [
      "51M20"
    ],
    "u": "/wiki/regular-polygon/"
  },
  {
    "t": "01M5T0KDG7",
    "n": "Multigraph",
    "k": "definition",
    "m": [
      "05C99"
    ],
    "u": "/wiki/multigraph-definition/"
  },
  {
    "t": "01M6CW9VM6",
    "n": "Triangle inequality for a metric",
    "a": [
      "triangle-inequality-for-a-metric"
    ],
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/triangle-inequality-for-a-metric/"
  },
  {
    "t": "01MGYYBB9R",
    "n": "Antisymmetric relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/antisymmetric-relation-definition/"
  },
  {
    "t": "01MKW4R283",
    "n": "Infinite set",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/infinite-set-definition/"
  },
  {
    "t": "01MMVW8CKC",
    "n": "Positive semidefinite matrix",
    "k": "concept",
    "m": [
      "15B57",
      "15A63"
    ],
    "u": "/wiki/positive-semidefinite-matrix/"
  },
  {
    "t": "01MPZXYVYF",
    "n": "Cauchy's integral theorem",
    "a": [
      "cauchy-goursat-theorem",
      "cauchy-integral-theorem"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/cauchys-integral-theorem/"
  },
  {
    "t": "01N3AYAA6N",
    "n": "Integers modulo n",
    "a": [
      "ring-of-integers-modulo-n",
      "residue-class-ring"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/integers-modulo-n-definition/"
  },
  {
    "t": "01NHFZF2SK",
    "n": "Nondegenerate bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/nondegenerate-bilinear-form/"
  },
  {
    "t": "01NN8NY497",
    "n": "Function with unequal mixed partial derivatives",
    "k": "counterexample",
    "m": [
      "26B05"
    ],
    "u": "/wiki/function-with-unequal-mixed-partial-derivatives/"
  },
  {
    "t": "01PKQYTTMT",
    "n": "Isolated point",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/isolated-point-definition/"
  },
  {
    "t": "01PNAVFMYZ",
    "n": "Similar triangles",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/similar-triangles-definition/"
  },
  {
    "t": "01PPDSDP2N",
    "n": "Hyperbolic functions",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-functions/"
  },
  {
    "t": "01QFQAQ2PA",
    "n": "Spherical coordinates",
    "a": [
      "spherical-coordinate-system",
      "spherical-polar-coordinates"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/spherical-coordinates/"
  },
  {
    "t": "01QSSKS5C1",
    "n": "sin x / x tends to 1",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/sin-x-x-tends-to-1/"
  },
  {
    "t": "01QZNHQWYD",
    "n": "Sum of the first n natural numbers",
    "k": "statement",
    "m": [
      "05A19"
    ],
    "u": "/wiki/sum-of-the-first-n-natural-numbers/"
  },
  {
    "t": "01R1HPEK6S",
    "n": "A graph is bipartite iff it has no odd cycle",
    "k": "statement",
    "m": [
      "05C75"
    ],
    "u": "/wiki/a-graph-is-bipartite-iff-it-has-no-odd-cycle/"
  },
  {
    "t": "01R1HW3Y42",
    "n": "Tangent line",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/tangent-line/"
  },
  {
    "t": "01RBSSGMY5",
    "n": "Definite and indefinite quadratic forms",
    "a": [
      "definite-quadratic-form",
      "positive-definite-quadratic-form"
    ],
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/definite-and-indefinite-quadratic-forms/"
  },
  {
    "t": "01REXW3WWE",
    "n": "Elementary matrix",
    "k": "concept",
    "m": [
      "15A23"
    ],
    "u": "/wiki/elementary-matrix/"
  },
  {
    "t": "01REYCJ371",
    "n": "Lyapunov function",
    "k": "concept",
    "m": [
      "34D20"
    ],
    "u": "/wiki/lyapunov-function/"
  },
  {
    "t": "01RSTGNTXG",
    "n": "Residue class",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/residue-class/"
  },
  {
    "t": "01RVCMSN5N",
    "n": "Surjective function",
    "a": [
      "surjection",
      "onto-function"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/surjective-function/"
  },
  {
    "t": "01SWBKDAWA",
    "n": "Composition of relations",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/composition-of-relations-definition/"
  },
  {
    "t": "01T3TMGTTE",
    "n": "Neighbourhood",
    "k": "definition",
    "m": [
      "05C07"
    ],
    "u": "/wiki/neighbourhood-definition/"
  },
  {
    "t": "01THH3Y3YP",
    "n": "Integrating factor",
    "k": "definition",
    "m": [
      "34A05"
    ],
    "u": "/wiki/integrating-factor-definition/"
  },
  {
    "t": "01TKKESHSB",
    "n": "Diffie–Hellman key exchange",
    "k": "example",
    "m": [
      "94A60"
    ],
    "u": "/wiki/diffie-hellman-key-exchange/"
  },
  {
    "t": "01TPMXM6NM",
    "n": "Hyperbolic equilibrium point",
    "k": "concept",
    "m": [
      "37C75"
    ],
    "u": "/wiki/hyperbolic-equilibrium-point/"
  },
  {
    "t": "01TQB88H4C",
    "n": "Countable set",
    "a": [
      "at-most-countable",
      "denumerable-or-finite"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/countable-set/"
  },
  {
    "t": "01TXN7ETH2",
    "n": "Orthogonal family for a bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/orthogonal-family-for-a-bilinear-form/"
  },
  {
    "t": "01V9FPBBVK",
    "n": "Symmetry of second derivatives",
    "a": [
      "equality-of-mixed-partials"
    ],
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/symmetry-of-second-derivatives/"
  },
  {
    "t": "01VG2A0BHW",
    "n": "Bijective iff it has a two-sided inverse",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/bijective-iff-it-has-a-two-sided-inverse/"
  },
  {
    "t": "01VH21EV6F",
    "n": "Prime element",
    "k": "concept",
    "m": [
      "13A05"
    ],
    "u": "/wiki/prime-element/"
  },
  {
    "t": "01VN79T2PR",
    "n": "Quadratic integer",
    "k": "definition",
    "m": [
      "11R11"
    ],
    "u": "/wiki/quadratic-integer-definition/"
  },
  {
    "t": "01VQ7C4FTB",
    "n": "Uniqueness of the algebraic closure",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/uniqueness-of-the-algebraic-closure/"
  },
  {
    "t": "01VT24J1SD",
    "n": "Cantor set is closed",
    "k": "statement",
    "m": [
      "54F65"
    ],
    "u": "/wiki/cantor-set-is-closed/"
  },
  {
    "t": "01VVP10MWJ",
    "n": "Connected component",
    "k": "definition",
    "m": [
      "05C40"
    ],
    "u": "/wiki/connected-component-definition/"
  },
  {
    "t": "01W6RKJP01",
    "n": "Arguments add under multiplication",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/arguments-add-under-multiplication/"
  },
  {
    "t": "01WHD9T0V6",
    "n": "Central binomial coefficient",
    "k": "definition",
    "m": [
      "05A10"
    ],
    "u": "/wiki/central-binomial-coefficient-definition/"
  },
  {
    "t": "01WPV9PHN7",
    "n": "Legendre's formula",
    "a": [
      "de-polignac-formula"
    ],
    "k": "statement",
    "m": [
      "11A51"
    ],
    "u": "/wiki/legendres-formula/"
  },
  {
    "t": "01WQZK97Z5",
    "n": "Cassini's identity",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/cassinis-identity/"
  },
  {
    "t": "01X5CVV1Q5",
    "n": "Geometric series",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/geometric-series/"
  },
  {
    "t": "01X8YSDTBW",
    "n": "Identically distributed random variables",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/identically-distributed-random-variables-definition/"
  },
  {
    "t": "01XAHPADBA",
    "n": "Moment",
    "a": [
      "moment-of-random-variable",
      "raw-moment"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/moment/"
  },
  {
    "t": "01XAY17QA3",
    "n": "Uniformly Cauchy sequence of functions",
    "k": "definition",
    "m": [
      "40A30"
    ],
    "u": "/wiki/uniformly-cauchy-sequence-of-functions-definition/"
  },
  {
    "t": "01XM7JEKHY",
    "n": "Constructive proof",
    "k": "concept",
    "m": [
      "03F65"
    ],
    "u": "/wiki/constructive-proof/"
  },
  {
    "t": "01YYRV7S9Z",
    "n": "Limit at infinity",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/limit-at-infinity/"
  },
  {
    "t": "01ZQQDCERP",
    "n": "Open set",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/open-set-definition/"
  },
  {
    "t": "01ZTQBK64Q",
    "n": "Adding a multiple of one row to another preserves the determinant",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/adding-a-multiple-of-one-row-to-another-preserves-the-determinant/"
  },
  {
    "t": "01ZWX875AT",
    "n": "Law of the unconscious statistician",
    "a": [
      "lotus",
      "change-of-variables-formula-for-expectation"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/law-of-the-unconscious-statistician/"
  },
  {
    "t": "0201Q4P2B5",
    "n": "Carathéodory's theorem",
    "k": "statement",
    "m": [
      "52A35"
    ],
    "u": "/wiki/caratheodorys-theorem/"
  },
  {
    "t": "020422MDQF",
    "n": "Euler's theorem on Eulerian circuits",
    "k": "statement",
    "m": [
      "05C45"
    ],
    "u": "/wiki/eulers-theorem-on-eulerian-circuits/"
  },
  {
    "t": "020K0X7HVR",
    "n": "Existence of prime factorization",
    "k": "statement",
    "m": [
      "11A51"
    ],
    "u": "/wiki/existence-of-prime-factorization/"
  },
  {
    "t": "020M04FN1H",
    "n": "Matrix exponential",
    "k": "concept",
    "m": [
      "15A16"
    ],
    "u": "/wiki/matrix-exponential/"
  },
  {
    "t": "020Q06TYYH",
    "n": "Totally bounded set",
    "a": [
      "totally-bounded-space",
      "precompact-set"
    ],
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/totally-bounded-set/"
  },
  {
    "t": "020Z5SEN27",
    "n": "Free group",
    "k": "definition",
    "m": [
      "20E05"
    ],
    "u": "/wiki/free-group-definition/"
  },
  {
    "t": "021WEM680W",
    "n": "Definite integral",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/definite-integral-definition/"
  },
  {
    "t": "021XJAQVDC",
    "n": "Darboux and Riemann integrals agree",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/darboux-and-riemann-integrals-agree/"
  },
  {
    "t": "0225QPWRRE",
    "n": "Taylor series",
    "k": "definition",
    "m": [
      "41A58"
    ],
    "u": "/wiki/taylor-series-definition/"
  },
  {
    "t": "022RSX714V",
    "n": "Order of cardinals",
    "a": [
      "cardinal-comparison",
      "cardinal-order"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/order-of-cardinals/"
  },
  {
    "t": "0230ECX1Q5",
    "n": "Well-founded relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/well-founded-relation-definition/"
  },
  {
    "t": "023VY493K0",
    "n": "Euclidean algorithm in a Euclidean domain",
    "k": "concept",
    "m": [
      "13F07"
    ],
    "u": "/wiki/euclidean-algorithm-in-a-euclidean-domain/"
  },
  {
    "t": "02486SD328",
    "n": "Left inverse",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/left-inverse-definition/"
  },
  {
    "t": "025158VEYZ",
    "n": "Reflection",
    "k": "definition",
    "m": [
      "15A04",
      "51F15"
    ],
    "u": "/wiki/reflection-definition/"
  },
  {
    "t": "025PKW8AMR",
    "n": "Uniqueness of solutions for Lipschitz vector fields",
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/uniqueness-of-solutions-for-lipschitz-vector-fields/"
  },
  {
    "t": "025YZN3VJW",
    "n": "Conjunction",
    "a": [
      "logical-and"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/conjunction/"
  },
  {
    "t": "0262JP0NV9",
    "n": "First integral",
    "a": [
      "constant-of-motion",
      "conserved-quantity"
    ],
    "k": "concept",
    "m": [
      "34C14"
    ],
    "u": "/wiki/first-integral/"
  },
  {
    "t": "026BJBQNGJ",
    "n": "A function with nonnegative derivative is increasing",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/a-function-with-nonnegative-derivative-is-increasing/"
  },
  {
    "t": "026FDZFRXS",
    "n": "Uniformly continuous functions map Cauchy sequences to Cauchy sequences",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/uniformly-continuous-functions-map-cauchy-sequences-to-cauchy-sequences/"
  },
  {
    "t": "026HPGYGS4",
    "n": "Parallelogram law",
    "k": "statement",
    "m": [
      "46C05"
    ],
    "u": "/wiki/parallelogram-law/"
  },
  {
    "t": "026J1MG2NW",
    "n": "Flux through a surface",
    "a": [
      "flux-integral"
    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/flux-through-a-surface/"
  },
  {
    "t": "027JF1FBB0",
    "n": "Density of the normal distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/density-of-the-normal-distribution-definition/"
  },
  {
    "t": "027K9RMZ43",
    "n": "Derivative function",
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative-function-definition/"
  },
  {
    "t": "027KDW2K72",
    "n": "Similar matrices",
    "k": "definition",
    "m": [
      "15A21"
    ],
    "u": "/wiki/similar-matrices-definition/"
  },
  {
    "t": "027MBSVPY3",
    "n": "Reflection in a line or plane",
    "a": [
      "reflection",
      "mirror-isometry"
    ],
    "k": "definition",
    "m": [
      "51F15"
    ],
    "u": "/wiki/reflection-in-a-line-or-plane/"
  },
  {
    "t": "027ZQS04SJ",
    "n": "Quotients of solvable groups are solvable",
    "k": "statement",
    "m": [
      "20F16"
    ],
    "u": "/wiki/quotients-of-solvable-groups-are-solvable/"
  },
  {
    "t": "02879QH7BY",
    "n": "Associate elements",
    "a": [
      "associated-elements"
    ],
    "k": "concept",
    "m": [
      "13A05"
    ],
    "u": "/wiki/associate-elements/"
  },
  {
    "t": "028XEQCE88",
    "n": "Angle addition formulas",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/angle-addition-formulas/"
  },
  {
    "t": "028Z8WC5Y9",
    "n": "Exponential distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/exponential-distribution-definition/"
  },
  {
    "t": "02903SSA48",
    "n": "Flow of a vector field",
    "k": "definition",
    "m": [
      "37C10"
    ],
    "u": "/wiki/flow-of-a-vector-field-definition/"
  },
  {
    "t": "0292EPPPT0",
    "n": "Euclid's theorem",
    "a": [
      "infinitude-of-primes"
    ],
    "k": "statement",
    "m": [
      "11A41"
    ],
    "u": "/wiki/euclids-theorem/"
  },
  {
    "t": "0299VCW1TH",
    "n": "Vector field",
    "a": [
      "vector-field-on-rn"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/vector-field/"
  },
  {
    "t": "029JBBF693",
    "n": "Negation",
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/negation/"
  },
  {
    "t": "029JQEK15B",
    "n": "Planar graph",
    "k": "definition",
    "m": [
      "05C10"
    ],
    "u": "/wiki/planar-graph-definition/"
  },
  {
    "t": "02A8EMC83C",
    "n": "Binary tree",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/binary-tree-definition/"
  },
  {
    "t": "02AC7JR6G6",
    "n": "Holomorphic functions on a disc have primitives",
    "a": [
      "existence-of-primitives-on-a-disc"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/holomorphic-functions-on-a-disc-have-primitives/"
  },
  {
    "t": "02AS45T3H9",
    "n": "Convex set",
    "k": "concept",
    "m": [
      "52A20"
    ],
    "u": "/wiki/convex-set/"
  },
  {
    "t": "02B1T50JD1",
    "n": "Infinite cyclic group",
    "k": "example",
    "m": [
      "20A05"
    ],
    "u": "/wiki/infinite-cyclic-group/"
  },
  {
    "t": "02BH3MCBQB",
    "n": "Open set",
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/open-set/"
  },
  {
    "t": "02BPKD7TMD",
    "n": "Eisenstein's criterion",
    "k": "statement",
    "m": [
      "12E05"
    ],
    "u": "/wiki/eisensteins-criterion/"
  },
  {
    "t": "02CBHV4ZZQ",
    "n": "Covariance matrix",
    "k": "definition",
    "m": [
      "62H05"
    ],
    "u": "/wiki/covariance-matrix-definition/"
  },
  {
    "t": "02CDYWSWSY",
    "n": "Edge colouring",
    "k": "definition",
    "m": [
      "05C15"
    ],
    "u": "/wiki/edge-colouring-definition/"
  },
  {
    "t": "02CK6QMXYD",
    "n": "Cardinality of a finite set",
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinality-of-a-finite-set/"
  },
  {
    "t": "02CYB184RC",
    "n": "Mean value inequality",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/mean-value-inequality/"
  },
  {
    "t": "02DKV69ZH0",
    "n": "Sign of a permutation",
    "a": [
      "signature-of-a-permutation"
    ],
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/sign-of-a-permutation/"
  },
  {
    "t": "02DTRYKGE8",
    "n": "Transposition",
    "a": [
      "two-cycle"
    ],
    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/transposition-definition/"
  },
  {
    "t": "02E1T12PP4",
    "n": "Free module",
    "k": "definition",
    "m": [
      "16D40",
      "13C10"
    ],
    "u": "/wiki/free-module-definition/"
  },
  {
    "t": "02E9VT1RVQ",
    "n": "Power of a point",
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/power-of-a-point/"
  },
  {
    "t": "02EEX96DFS",
    "n": "Open balls form a basis of the metric topology",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/open-balls-form-a-basis-of-the-metric-topology/"
  },
  {
    "t": "02EKEPPJ3R",
    "n": "Prime factorization",
    "k": "concept",
    "m": [
      "11A51"
    ],
    "u": "/wiki/prime-factorization/"
  },
  {
    "t": "02FDWY55AS",
    "n": "Rank of a product of matrices",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/rank-of-a-product-of-matrices/"
  },
  {
    "t": "02GK6HZYBT",
    "n": "Transitive action",
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/transitive-action/"
  },
  {
    "t": "02HB5F40VR",
    "n": "Newton's law of cooling",
    "k": "example",
    "m": [
      "80A19"
    ],
    "u": "/wiki/newtons-law-of-cooling/"
  },
  {
    "t": "02HHNPC8ED",
    "n": "Casorati–Weierstrass theorem",
    "a": [
      "sokhotski-theorem",
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    ],
    "k": "statement",
    "m": [
      "30D30"
    ],
    "u": "/wiki/casorati-weierstrass-theorem/"
  },
  {
    "t": "02HJYT53F7",
    "n": "Existence of maximal ideals",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "13A15"
    ],
    "u": "/wiki/existence-of-maximal-ideals/"
  },
  {
    "t": "02HPP5VCZH",
    "n": "Isometry",
    "a": [
      "distance-preserving-map"
    ],
    "k": "concept",
    "m": [
      "54E40"
    ],
    "u": "/wiki/isometry/"
  },
  {
    "t": "02HR4C0B04",
    "n": "Nullcline",
    "k": "concept",
    "m": [
      "34C05"
    ],
    "u": "/wiki/nullcline/"
  },
  {
    "t": "02HTDK1FBD",
    "n": "Inverse trigonometric functions",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/inverse-trigonometric-functions-definition/"
  },
  {
    "t": "02HZ1BK3MW",
    "n": "Chebyshev's inequality",
    "a": [
      "bienayme-chebyshev-inequality"
    ],
    "k": "statement",
    "m": [
      "60E15"
    ],
    "u": "/wiki/chebyshevs-inequality/"
  },
  {
    "t": "02J4G4J4TJ",
    "n": "Isometries are injective",
    "k": "statement",
    "m": [
      "54E40"
    ],
    "u": "/wiki/isometries-are-injective/"
  },
  {
    "t": "02JBEMG8R4",
    "n": "Monotone sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/monotone-sequence/"
  },
  {
    "t": "02JGYG0T7M",
    "n": "Characteristic function of a sum of independent random variables",
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/characteristic-function-of-a-sum-of-independent-random-variables/"
  },
  {
    "t": "02KTRHQMHN",
    "n": "Power series of sine",
    "k": "statement",
    "m": [
      "33B10",
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    ],
    "u": "/wiki/power-series-of-sine/"
  },
  {
    "t": "02KYGSCTCN",
    "n": "Stationary distribution",
    "k": "definition",
    "m": [
      "60J10"
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    "u": "/wiki/stationary-distribution-definition/"
  },
  {
    "t": "02M2K4QH9P",
    "n": "Fermat pseudoprime",
    "k": "definition",
    "m": [
      "11A51"
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    "u": "/wiki/fermat-pseudoprime-definition/"
  },
  {
    "t": "02MAKWDKGT",
    "n": "Polynomial evaluation",
    "k": "concept",
    "m": [
      "13F20"
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    "u": "/wiki/polynomial-evaluation/"
  },
  {
    "t": "02MY6WZXEQ",
    "n": "Discrete uniform distribution",
    "k": "concept",
    "m": [
      "60E05"
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    "u": "/wiki/discrete-uniform-distribution/"
  },
  {
    "t": "02NBKVQFRQ",
    "n": "Intermediate field",
    "k": "definition",
    "m": [
      "12F05"
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    "u": "/wiki/intermediate-field-definition/"
  },
  {
    "t": "02NSMQVQWK",
    "n": "Divergence",
    "k": "definition",
    "m": [
      "26B12"
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    "u": "/wiki/divergence-definition/"
  },
  {
    "t": "02NZZ1J0FH",
    "n": "Splitting field",
    "k": "definition",
    "m": [
      "12F05"
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    "u": "/wiki/splitting-field-definition/"
  },
  {
    "t": "02P2PYH3X3",
    "n": "The complex exponential is 2πi-periodic",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/the-complex-exponential-is-2-i-periodic/"
  },
  {
    "t": "02PETK9PQ4",
    "n": "Sum of the roots of unity",
    "k": "statement",
    "m": [
      "11R18"
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    "u": "/wiki/sum-of-the-roots-of-unity/"
  },
  {
    "t": "02QGGD5G87",
    "n": "Complex logarithm",
    "a": [
      "logarithm-of-a-complex-number"
    ],
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-logarithm/"
  },
  {
    "t": "02QJVFCNYD",
    "n": "Line integral of a scalar field",
    "a": [
      "scalar-line-integral",
      "integral-with-respect-to-arc-length"
    ],
    "k": "concept",
    "m": [
      "26B12"
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    "u": "/wiki/line-integral-of-a-scalar-field/"
  },
  {
    "t": "02RRHJ7R98",
    "n": "Multiplicative order",
    "k": "concept",
    "m": [
      "11A07"
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    "u": "/wiki/multiplicative-order/"
  },
  {
    "t": "02RSXVM1ZN",
    "n": "Higher partial derivatives",
    "k": "definition",
    "m": [
      "26B05"
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    "u": "/wiki/higher-partial-derivatives-definition/"
  },
  {
    "t": "02SJG1HC32",
    "n": "Algebraically closed field",
    "k": "definition",
    "m": [
      "12F05"
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    "u": "/wiki/algebraically-closed-field-definition/"
  },
  {
    "t": "02SMVGC690",
    "n": "Topological property",
    "a": [
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    "k": "concept",
    "m": [
      "54A05"
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    "u": "/wiki/topological-property/"
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    "t": "02SRXDAM3X",
    "n": "Reduction of order",
    "k": "concept",
    "m": [
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    "u": "/wiki/reduction-of-order/"
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  {
    "t": "02STTYFBVY",
    "n": "Polar form of a quadratic form",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/polar-form-of-a-quadratic-form-definition/"
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  {
    "t": "02SYZAWM2K",
    "n": "Cauchy mean value theorem",
    "a": [
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    "k": "statement",
    "m": [
      "26A24"
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    "u": "/wiki/cauchy-mean-value-theorem/"
  },
  {
    "t": "02TZDKG50Q",
    "n": "Closure is closed",
    "k": "statement",
    "m": [
      "54A05"
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    "u": "/wiki/closure-is-closed/"
  },
  {
    "t": "02V2GYAC8P",
    "n": "Decreasing sequence bounded below converges",
    "k": "statement",
    "m": [
      "40A05"
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    "u": "/wiki/decreasing-sequence-bounded-below-converges/"
  },
  {
    "t": "02WF878BH1",
    "n": "Greatest common divisor",
    "a": [
      "gcd",
      "greatest-common-factor",
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    ],
    "k": "definition",
    "m": [
      "11A05"
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    "u": "/wiki/greatest-common-divisor-definition/"
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  {
    "t": "02WHMEG5ZR",
    "n": "Riemann mapping theorem",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "30C35"
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    "u": "/wiki/riemann-mapping-theorem/"
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  {
    "t": "02WZB422CE",
    "n": "External direct sum",
    "k": "definition",
    "m": [
      "15A03",
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    "u": "/wiki/external-direct-sum-definition/"
  },
  {
    "t": "02XPXR1FBK",
    "n": "Bernoulli process",
    "k": "definition",
    "m": [
      "60G50"
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    "u": "/wiki/bernoulli-process-definition/"
  },
  {
    "t": "02YFME3RGW",
    "n": "Kernel of a linear map",
    "k": "definition",
    "m": [
      "15A04"
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    "u": "/wiki/kernel-of-a-linear-map-definition/"
  },
  {
    "t": "02YRQXZDCS",
    "n": "Conditional convergence",
    "a": [
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    "k": "definition",
    "m": [
      "40A05"
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    "u": "/wiki/conditional-convergence-definition/"
  },
  {
    "t": "02YSJPQYQH",
    "n": "Branch of the logarithm",
    "a": [
      "branch-of-log",
      "logarithm-branch"
    ],
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/branch-of-the-logarithm/"
  },
  {
    "t": "02YYV36BFM",
    "n": "Centraliser",
    "a": [
      "centralizer"
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    "k": "concept",
    "m": [
      "20A05"
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    "u": "/wiki/centraliser/"
  },
  {
    "t": "02Z5B2HA3F",
    "n": "One-form",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/one-form/"
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    "t": "02ZE6JHJ7G",
    "n": "Real and imaginary parts",
    "k": "definition",
    "m": [
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    "u": "/wiki/real-and-imaginary-parts-definition/"
  },
  {
    "t": "030A3FHN14",
    "n": "K5 and K3,3 are not planar",
    "k": "statement",
    "m": [
      "05C10"
    ],
    "u": "/wiki/k5-and-k3-3-are-not-planar/"
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  {
    "t": "030TZ0DQWT",
    "n": "Ideal generated by a subset",
    "k": "definition",
    "m": [
      "13A15"
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    "u": "/wiki/ideal-generated-by-a-subset-definition/"
  },
  {
    "t": "030VFEREKG",
    "n": "Partial fraction decomposition",
    "k": "concept",
    "m": [
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    "u": "/wiki/partial-fraction-decomposition/"
  },
  {
    "t": "0310REJJY8",
    "n": "Commutative ring",
    "k": "concept",
    "m": [
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    "u": "/wiki/commutative-ring/"
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  {
    "t": "0316AYH1SC",
    "n": "Total order",
    "k": "definition",
    "m": [
      "06A05"
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    "u": "/wiki/total-order-definition/"
  },
  {
    "t": "031BG625Y3",
    "n": "The real part of a holomorphic function is harmonic",
    "k": "statement",
    "m": [
      "31A05"
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    "u": "/wiki/the-real-part-of-a-holomorphic-function-is-harmonic/"
  },
  {
    "t": "031JV5S54D",
    "n": "A tangent is perpendicular to the radius",
    "k": "statement",
    "m": [
      "51M04"
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    "u": "/wiki/a-tangent-is-perpendicular-to-the-radius/"
  },
  {
    "t": "031M8HX7DA",
    "n": "Order of a cyclic subgroup equals the order of its generator",
    "k": "statement",
    "m": [
      "20A05"
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    "u": "/wiki/order-of-a-cyclic-subgroup-equals-the-order-of-its-generator/"
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  {
    "t": "031TPJVS74",
    "n": "Event",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/event/"
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  {
    "t": "0325SGSJAR",
    "n": "Polyhedron",
    "k": "concept",
    "m": [
      "52B10"
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    "u": "/wiki/polyhedron/"
  },
  {
    "t": "032HKYS329",
    "n": "Residue theorem",
    "a": [
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    "k": "statement",
    "m": [
      "30E20"
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    "u": "/wiki/residue-theorem/"
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    "t": "032Q9FB8MT",
    "n": "Matrix multiplication",
    "k": "concept",
    "m": [
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    "u": "/wiki/matrix-multiplication/"
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    "t": "0337CYB0VD",
    "n": "Order on the reals",
    "k": "definition",
    "m": [
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    "u": "/wiki/order-on-the-reals-definition/"
  },
  {
    "t": "033DA1WE8Y",
    "n": "Projection",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/projection/"
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  {
    "t": "033H8MQRC3",
    "n": "Nine-point circle",
    "a": [
      "feuerbach-circle",
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    ],
    "k": "concept",
    "m": [
      "51M04"
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    "u": "/wiki/nine-point-circle/"
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    "t": "033KTKKRV6",
    "n": "Factorial formula for binomial coefficients",
    "k": "statement",
    "m": [
      "05A10"
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    "u": "/wiki/factorial-formula-for-binomial-coefficients/"
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  {
    "t": "033RZ32T4Q",
    "n": "Limit inferior",
    "k": "concept",
    "m": [
      "40A05"
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    "u": "/wiki/limit-inferior/"
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    "t": "033TJBZDG0",
    "n": "Markov chain",
    "k": "definition",
    "m": [
      "60J10"
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    "u": "/wiki/markov-chain-definition/"
  },
  {
    "t": "033WGN00BF",
    "n": "Formal power series",
    "k": "concept",
    "m": [
      "13F25"
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    "u": "/wiki/formal-power-series/"
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  {
    "t": "034FGCEYX4",
    "n": "Formula for the modulus",
    "k": "statement",
    "m": [
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    "u": "/wiki/formula-for-the-modulus/"
  },
  {
    "t": "035V802J58",
    "n": "Tangent plane to a graph",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "26B05"
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    "u": "/wiki/tangent-plane-to-a-graph/"
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    "t": "0363JMQ42Y",
    "n": "Triangularisation",
    "k": "statement",
    "m": [
      "15A20",
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    ],
    "u": "/wiki/triangularisation/"
  },
  {
    "t": "036696EMG2",
    "n": "Hyperbolic cosine",
    "k": "concept",
    "m": [
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    "u": "/wiki/hyperbolic-cosine/"
  },
  {
    "t": "036756NFD6",
    "n": "Statistic",
    "k": "definition",
    "m": [
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    "u": "/wiki/statistic-definition/"
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    "t": "037ACYXB5Z",
    "n": "Gauss's lemma on quadratic residues",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/gausss-lemma-on-quadratic-residues/"
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    "t": "037F589D1D",
    "n": "Dirichlet convolution",
    "k": "concept",
    "m": [
      "11A25"
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    "u": "/wiki/dirichlet-convolution/"
  },
  {
    "t": "037FD5NBRT",
    "n": "Leibniz formula for pi",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/leibniz-formula-for-pi/"
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    "t": "037ZNY7NAG",
    "n": "System of linear differential equations",
    "k": "concept",
    "m": [
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    "u": "/wiki/system-of-linear-differential-equations/"
  },
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    "t": "0381S8Z5P0",
    "n": "Arzelà–Ascoli theorem",
    "a": [
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    "k": "statement",
    "m": [
      "54C35"
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    "u": "/wiki/arzela-ascoli-theorem/"
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    "t": "0386Y0Z7Y7",
    "n": "Bernoulli distribution",
    "k": "concept",
    "m": [
      "60E05"
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    "u": "/wiki/bernoulli-distribution/"
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  {
    "t": "038YGY0HSC",
    "n": "Chromatic polynomial",
    "k": "definition",
    "m": [
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    "u": "/wiki/chromatic-polynomial-definition/"
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    "t": "0396VGFA78",
    "n": "Freshman's dream",
    "k": "statement",
    "m": [
      "13A35"
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    "u": "/wiki/freshmans-dream/"
  },
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    "t": "0399QFDFS8",
    "n": "Parametric equation of a line",
    "a": [
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    "k": "concept",
    "m": [
      "51N20"
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    "u": "/wiki/parametric-equation-of-a-line/"
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    "t": "039HF58KQ5",
    "n": "Characteristic polynomial",
    "k": "definition",
    "m": [
      "15A15",
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    ],
    "u": "/wiki/characteristic-polynomial-definition/"
  },
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    "t": "039JAF7ZAN",
    "n": "Integral of exp(-x) over the half line",
    "k": "example",
    "m": [
      "40A10"
    ],
    "u": "/wiki/integral-of-exp-x-over-the-half-line/"
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  {
    "t": "03AHF0XRVG",
    "n": "Independence of two events",
    "a": [
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    "k": "concept",
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      "60A05"
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    "u": "/wiki/independence-of-two-events/"
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    "t": "03AJHX431A",
    "n": "Taylor's theorem with the Peano remainder",
    "k": "statement",
    "m": [
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    "u": "/wiki/taylors-theorem-with-the-peano-remainder/"
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    "t": "03AJKXH1AV",
    "n": "Column space",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/column-space/"
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    "t": "03AN1V4ZFJ",
    "n": "Norm on the Gaussian integers",
    "k": "definition",
    "m": [
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    "u": "/wiki/norm-on-the-gaussian-integers-definition/"
  },
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    "t": "03AN9X29R7",
    "n": "Absorbing Markov chain",
    "k": "concept",
    "m": [
      "60J10"
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    "u": "/wiki/absorbing-markov-chain/"
  },
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    "t": "03BAREW1Z5",
    "n": "Generalized Euclid's lemma",
    "k": "statement",
    "m": [
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    "u": "/wiki/generalized-euclids-lemma/"
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    "t": "03BR7SAX0Q",
    "n": "Modulo operation",
    "k": "concept",
    "m": [
      "11A07"
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    "u": "/wiki/modulo-operation/"
  },
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    "t": "03BY5XTNA4",
    "n": "Law of total variance",
    "a": [
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    "k": "statement",
    "m": [
      "60A10"
    ],
    "u": "/wiki/law-of-total-variance/"
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    "t": "03CPD1HGF3",
    "n": "Multivalued function",
    "a": [
      "multifunction",
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    ],
    "k": "concept",
    "m": [
      "26E25"
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    "u": "/wiki/multivalued-function/"
  },
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    "t": "03DEH43F4H",
    "n": "Left coset",
    "k": "concept",
    "m": [
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    "u": "/wiki/left-coset/"
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    "t": "03EESZDB9A",
    "n": "Variance of the normal distribution",
    "k": "statement",
    "m": [
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    "u": "/wiki/variance-of-the-normal-distribution/"
  },
  {
    "t": "03F5KP94K0",
    "n": "Determinant of a linear map",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/determinant-of-a-linear-map-definition/"
  },
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    "t": "03F7N3915D",
    "n": "Cauchy–Euler equation",
    "k": "concept",
    "m": [
      "34A30"
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    "u": "/wiki/cauchy-euler-equation/"
  },
  {
    "t": "03FHD14RKC",
    "n": "Range of a function",
    "a": [
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    ],
    "k": "concept",
    "m": [
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    "u": "/wiki/range-of-a-function/"
  },
  {
    "t": "03FKX7Z5DC",
    "n": "Irreducible polynomial",
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/irreducible-polynomial/"
  },
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    "t": "03FTB26QYD",
    "n": "Vector triple product",
    "a": [
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      "bac-cab-identity"
    ],
    "k": "statement",
    "m": [
      "15A72"
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    "u": "/wiki/vector-triple-product/"
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    "t": "03GGQEAG9S",
    "n": "Chain rule for Jacobian matrices",
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    "m": [
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    "t": "03GP7KMBYM",
    "n": "Absolutely convergent improper integral",
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    "t": "03GSZ8RTZJ",
    "n": "Dimension",
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    "t": "03H7WZ4T3K",
    "n": "Pythagorean trigonometric identity",
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    "m": [
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    "t": "03HDF50VN4",
    "n": "P-adic valuation",
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    "t": "03HF498P1J",
    "n": "Antichain",
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    "m": [
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    "t": "03HF5PMY5T",
    "n": "Triangle inequality",
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    "t": "03HGK7EW6R",
    "n": "Mean value theorem in several variables",
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    "t": "03HMJASQBQ",
    "n": "Regular space",
    "a": [
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    "t": "03J4NZFYRX",
    "n": "Perpendicular bisector",
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    "u": "/wiki/perpendicular-bisector-definition/"
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    "t": "03J5RAKB30",
    "n": "Normed vector space",
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    "m": [
      "46B20"
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    "t": "03J8BS7FMV",
    "n": "Separable polynomial",
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    "m": [
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    "u": "/wiki/separable-polynomial-definition/"
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    "t": "03KGGKTB2E",
    "n": "Wilson's theorem",
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    "m": [
      "11A07"
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    "u": "/wiki/wilsons-theorem/"
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    "t": "03MC70ZRNR",
    "n": "Equivalence of norms in finite dimension",
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      "46B20"
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    "t": "03MTBVG3VE",
    "n": "de Moivre's formula",
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    "m": [
      "33B10"
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    "t": "03N8C8ZR4B",
    "n": "Type I and type II errors",
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    "t": "03NAMV1DHJ",
    "n": "Path",
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    "t": "03NDVCSHSB",
    "n": "Minimal polynomial",
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    "t": "03NK6RSRQ1",
    "n": "Vectors are perpendicular if and only if their dot product is zero",
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    "t": "03NM7DZXXC",
    "n": "Torus",
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    "t": "03PGHKAJG3",
    "n": "Cauchy–Schwarz inequality for expectations",
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    "u": "/wiki/cauchy-schwarz-inequality-for-expectations/"
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    "t": "03PPNCM9GG",
    "n": "Second-countable space",
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    "t": "03Q7RE2HXR",
    "n": "A matrix is invertible iff its determinant is a unit",
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      "15A15"
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    "t": "03QC59M99B",
    "n": "Complement principle",
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    "t": "03QHBVW4TT",
    "n": "Taylor's theorem",
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    "t": "03RNVFDEAN",
    "n": "Skew-symmetric matrix",
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    "t": "03RSJXF728",
    "n": "Formula for the number of derangements",
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    "t": "03S6GWWKEZ",
    "n": "Limit of a quotient of sequences",
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    "t": "03TM135G0N",
    "n": "Continuous linear map",
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    "u": "/wiki/continuous-linear-map/"
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    "t": "03VFZ2WETT",
    "n": "Integers modulo n",
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    "t": "03VHANA6ZK",
    "n": "Indefinite integral",
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    "t": "03VZJE6C8C",
    "n": "Circumcircle",
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    "t": "03W6Q1MFR5",
    "n": "Jacobian determinant",
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    "t": "03WKB2H474",
    "n": "Complete graph",
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    "t": "03WY4HHMT1",
    "n": "Number of derangements",
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    "t": "03X8V7D64M",
    "n": "Sum of a finite geometric progression",
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    "k": "statement",
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    "u": "/wiki/sum-of-a-finite-geometric-progression/"
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    "t": "03XVP8Q4GY",
    "n": "Multiplicity of a root",
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    "t": "03Y6AQ2S0J",
    "n": "Sample mean",
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    "u": "/wiki/sample-mean/"
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    "t": "03YEM7JEDN",
    "n": "Open mapping theorem",
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    "k": "statement",
    "m": [
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    "u": "/wiki/open-mapping-theorem/"
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    "t": "03YN70NK0Z",
    "n": "Oriented angle",
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    "k": "concept",
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    "u": "/wiki/oriented-angle/"
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    "t": "03Z4JC4YRJ",
    "n": "The Dirichlet function is not Riemann integrable",
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      "26A42"
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    "u": "/wiki/the-dirichlet-function-is-not-riemann-integrable/"
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    "t": "03Z9V0Y78A",
    "n": "C^1 vector fields satisfy the Picard–Lindelöf hypotheses",
    "k": "statement",
    "m": [
      "34A12"
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    "t": "0404D8TN7Y",
    "n": "Binet's formula",
    "k": "statement",
    "m": [
      "11B39"
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    "u": "/wiki/binets-formula/"
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    "t": "0404R9P9J3",
    "n": "Integer partition",
    "k": "definition",
    "m": [
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    "u": "/wiki/integer-partition-definition/"
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  {
    "t": "040CFNJEAP",
    "n": "Lebesgue number lemma",
    "a": [
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    "k": "statement",
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    "u": "/wiki/lebesgue-number-lemma/"
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    "t": "040WY0TT2G",
    "n": "Lattice path",
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    "m": [
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    "u": "/wiki/lattice-path/"
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    "t": "0419794R0T",
    "n": "Entire function",
    "k": "definition",
    "m": [
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    "u": "/wiki/entire-function-definition/"
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    "t": "0419GJC84P",
    "n": "Nilpotent matrix",
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    "m": [
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    "u": "/wiki/nilpotent-matrix-definition/"
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    "t": "041JTZCK9Q",
    "n": "Direct sum of subspaces",
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    "m": [
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    "u": "/wiki/direct-sum-of-subspaces-definition/"
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    "t": "0423TXR9AN",
    "n": "Subgroups of a finite cyclic group correspond to divisors of its order",
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    "t": "042JWAR3Q0",
    "n": "Rational canonical form",
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    "k": "statement",
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    "u": "/wiki/rational-canonical-form/"
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    "t": "0430ETCMKD",
    "n": "Continuous bijection from a compact space to a Hausdorff space is a homeomorphism",
    "k": "statement",
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    "t": "0431RN0R1N",
    "n": "Uniform limits of holomorphic functions are holomorphic",
    "a": [
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    "k": "statement",
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    "u": "/wiki/uniform-limits-of-holomorphic-functions-are-holomorphic/"
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    "t": "043B3ENSTY",
    "n": "Fermat's theorem on sums of two squares",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/fermats-theorem-on-sums-of-two-squares/"
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    "t": "043SJ5RF59",
    "n": "Maclaurin series",
    "k": "definition",
    "m": [
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    "u": "/wiki/maclaurin-series-definition/"
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    "t": "0443XNARDV",
    "n": "Multilinear map",
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    "m": [
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    "u": "/wiki/multilinear-map/"
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    "t": "044D4AQV8V",
    "n": "Product metric",
    "a": [
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    "k": "definition",
    "m": [
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    "u": "/wiki/product-metric-definition/"
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    "t": "044JNC7ZAA",
    "n": "Diagonal matrix",
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    "m": [
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    "u": "/wiki/diagonal-matrix/"
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    "t": "045D8P03E0",
    "n": "Random variable with a density",
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    "m": [
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    "u": "/wiki/random-variable-with-a-density/"
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    "n": "Circle",
    "k": "definition",
    "m": [
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    "u": "/wiki/circle-definition/"
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    "t": "045ENVCCZV",
    "n": "The derangement numbers count derangements",
    "k": "statement",
    "m": [
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    "n": "Disc of convergence",
    "k": "definition",
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    "u": "/wiki/disc-of-convergence-definition/"
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    "t": "045YFKRW0P",
    "n": "Closed curve",
    "a": [
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    "k": "concept",
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    "u": "/wiki/closed-curve/"
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    "t": "0464Z0JP2E",
    "n": "Monotonicity of probability",
    "k": "statement",
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    "u": "/wiki/monotonicity-of-probability/"
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    "t": "0469V0EN5N",
    "n": "Homogeneous linear system with constant coefficients",
    "k": "concept",
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    "u": "/wiki/homogeneous-linear-system-with-constant-coefficients/"
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    "t": "0476QH9846",
    "n": "Evaluation of real integrals by residues",
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    "k": "concept",
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    "n": "Variance",
    "a": [
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    "k": "concept",
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    "u": "/wiki/variance/"
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    "t": "047KEVEZ9Q",
    "n": "Every real number has a decimal expansion",
    "k": "statement",
    "m": [
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    "u": "/wiki/every-real-number-has-a-decimal-expansion/"
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    "t": "047NDTEPCV",
    "n": "Jacobian matrix",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/jacobian-matrix/"
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    "t": "047RFCNVSK",
    "n": "Parseval's identity",
    "k": "statement",
    "m": [
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    "u": "/wiki/parsevals-identity/"
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    "t": "047SX3TD69",
    "n": "Multiplicity of a root",
    "k": "concept",
    "m": [
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    "u": "/wiki/multiplicity-of-a-root/"
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    "t": "048F2P90WR",
    "n": "Maximum modulus principle",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/maximum-modulus-principle/"
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    "t": "049DCJZ448",
    "n": "Concyclic points",
    "a": [
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    "k": "concept",
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    "u": "/wiki/concyclic-points/"
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    "t": "049PXYHW1T",
    "n": "Open cover",
    "k": "concept",
    "m": [
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    "u": "/wiki/open-cover/"
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    "t": "04A2XEX4D4",
    "n": "Lagrange multiplier with one constraint",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/lagrange-multiplier-with-one-constraint/"
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    "t": "04AAKZNXHD",
    "n": "Greedy colouring",
    "k": "concept",
    "m": [
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    "u": "/wiki/greedy-colouring/"
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    "t": "04AJE0M271",
    "n": "Möbius strip",
    "a": [
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    "k": "example",
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    "u": "/wiki/mobius-strip/"
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    "t": "04BD23PSK5",
    "n": "Exponential of a sum of commuting matrices",
    "k": "statement",
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    "u": "/wiki/exponential-of-a-sum-of-commuting-matrices/"
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    "t": "04C3BAHV03",
    "n": "Complementary subspaces",
    "k": "definition",
    "m": [
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    "u": "/wiki/complementary-subspaces-definition/"
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    "t": "04C5ZBG1WT",
    "n": "Field",
    "k": "concept",
    "m": [
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    "u": "/wiki/field/"
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    "t": "04CBRA4JRK",
    "n": "log x is at most x - 1",
    "k": "statement",
    "m": [
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    "u": "/wiki/log-x-is-at-most-x-1/"
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    "t": "04CC6K5VDT",
    "n": "Real sequence",
    "k": "concept",
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    "u": "/wiki/real-sequence/"
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    "t": "04CPG9K1C4",
    "n": "Local maximum and minimum",
    "k": "definition",
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    "u": "/wiki/local-maximum-and-minimum-definition/"
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    "t": "04CPJ6AF00",
    "n": "Determinant is multiplicative",
    "k": "statement",
    "m": [
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    "u": "/wiki/determinant-is-multiplicative/"
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    "t": "04CTY6XYWN",
    "n": "Correlation coefficient",
    "k": "definition",
    "m": [
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    "u": "/wiki/correlation-coefficient-definition/"
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    "t": "04CW1P44VD",
    "n": "Spectral theorem for normal matrices",
    "k": "statement",
    "m": [
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    "u": "/wiki/spectral-theorem-for-normal-matrices/"
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    "t": "04CYN5G6RY",
    "n": "Variance under translation",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/variance-under-translation/"
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    "t": "04CYQHN6MC",
    "n": "Coordinate vector",
    "k": "concept",
    "m": [
      "15A03"
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    "u": "/wiki/coordinate-vector/"
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    "t": "04D7CHT5V1",
    "n": "Inverse hyperbolic functions",
    "k": "definition",
    "m": [
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    "u": "/wiki/inverse-hyperbolic-functions-definition/"
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  {
    "t": "04DC0SRN2K",
    "n": "Order of a group is the index times the order of the subgroup",
    "k": "statement",
    "m": [
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    "u": "/wiki/order-of-a-group-is-the-index-times-the-order-of-the-subgroup/"
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  {
    "t": "04DR5PM25N",
    "n": "Modular exponentiation",
    "a": [
      "binary-exponentiation",
      "square-and-multiply"
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    "k": "concept",
    "m": [
      "11Y16"
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    "u": "/wiki/modular-exponentiation/"
  },
  {
    "t": "04DXAFN2ES",
    "n": "Natural logarithm",
    "k": "concept",
    "m": [
      "33B10",
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    "u": "/wiki/natural-logarithm/"
  },
  {
    "t": "04E4V9G5FR",
    "n": "Commutativity",
    "k": "definition",
    "m": [
      "08A02"
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    "u": "/wiki/commutativity-definition/"
  },
  {
    "t": "04EAFVFTF7",
    "n": "Circle group",
    "k": "object",
    "m": [
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    "u": "/wiki/circle-group/"
  },
  {
    "t": "04EHB7YDQS",
    "n": "Spectrum of a matrix",
    "k": "definition",
    "m": [
      "15A18"
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    "u": "/wiki/spectrum-of-a-matrix-definition/"
  },
  {
    "t": "04ETX30HT2",
    "n": "Uniqueness of the supremum",
    "k": "statement",
    "m": [
      "06A06"
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    "u": "/wiki/uniqueness-of-the-supremum/"
  },
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    "n": "Modulo operation",
    "a": [
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    "m": [
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    "u": "/wiki/modulo-operation-definition/"
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    "t": "04GM4NYXJB",
    "n": "Mesh of a partition",
    "a": [
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    "k": "definition",
    "m": [
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    "u": "/wiki/mesh-of-a-partition-definition/"
  },
  {
    "t": "04GNK7K4VP",
    "n": "Divisibility in a commutative ring",
    "k": "definition",
    "m": [
      "13A05"
    ],
    "u": "/wiki/divisibility-in-a-commutative-ring-definition/"
  },
  {
    "t": "04GYPXDXNH",
    "n": "Riesz representation theorem in finite dimensions",
    "k": "statement",
    "m": [
      "46C05",
      "15A04"
    ],
    "u": "/wiki/riesz-representation-theorem-in-finite-dimensions/"
  },
  {
    "t": "04J4BYB0XE",
    "n": "Separation axioms",
    "a": [
      "tychonoff-separation-axioms"
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    "k": "concept",
    "m": [
      "54D10"
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    "u": "/wiki/separation-axioms/"
  },
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    "t": "04J4Z73J5B",
    "n": "Divisor function",
    "k": "concept",
    "m": [
      "11A25"
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    "u": "/wiki/divisor-function/"
  },
  {
    "t": "04J6G4H78J",
    "n": "Density of the irrationals",
    "k": "statement",
    "m": [
      "26A03"
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    "u": "/wiki/density-of-the-irrationals/"
  },
  {
    "t": "04JAAVHDDM",
    "n": "Consistent and inconsistent systems",
    "k": "definition",
    "m": [
      "15A06"
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    "u": "/wiki/consistent-and-inconsistent-systems-definition/"
  },
  {
    "t": "04JAY9DGB7",
    "n": "Dirichlet's approximation theorem",
    "k": "statement",
    "m": [
      "11J04"
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    "u": "/wiki/dirichlets-approximation-theorem/"
  },
  {
    "t": "04JHQNNBFE",
    "n": "Hockey-stick identity",
    "k": "statement",
    "m": [
      "05A19"
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    "u": "/wiki/hockey-stick-identity/"
  },
  {
    "t": "04KFTA34C5",
    "n": "Infimum",
    "k": "definition",
    "m": [
      "06A06"
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    "u": "/wiki/infimum-definition/"
  },
  {
    "t": "04KGXJG1A2",
    "n": "Homogeneous system of linear equations",
    "k": "concept",
    "m": [
      "15A06"
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    "u": "/wiki/homogeneous-system-of-linear-equations/"
  },
  {
    "t": "04MQSQ1F5Q",
    "n": "Clique number",
    "k": "concept",
    "m": [
      "05C69"
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    "u": "/wiki/clique-number/"
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  {
    "t": "04NPWJMA6H",
    "n": "Sum of two squares theorem",
    "k": "statement",
    "m": [
      "11E25"
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    "u": "/wiki/sum-of-two-squares-theorem/"
  },
  {
    "t": "04P2RJ4WPS",
    "n": "Continued fraction",
    "k": "concept",
    "m": [
      "11A55"
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    "u": "/wiki/continued-fraction/"
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  {
    "t": "04P2SR252N",
    "n": "Geometric distribution",
    "k": "concept",
    "m": [
      "60E05"
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    "u": "/wiki/geometric-distribution/"
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  {
    "t": "04P7B5XC22",
    "n": "Lyapunov function",
    "k": "definition",
    "m": [
      "34D20"
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    "u": "/wiki/lyapunov-function-definition/"
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  {
    "t": "04P7D63W8P",
    "n": "Almost sure convergence",
    "k": "definition",
    "m": [
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    "u": "/wiki/almost-sure-convergence-definition/"
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  {
    "t": "04QEBF8S49",
    "n": "Index of a subgroup",
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    "m": [
      "20A05"
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    "u": "/wiki/index-of-a-subgroup-definition/"
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  {
    "t": "04QNZZ4HHY",
    "n": "Dedekind cut",
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    "m": [
      "26A03"
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    "u": "/wiki/dedekind-cut-definition/"
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  {
    "t": "04R3CY41VJ",
    "n": "Euler's formula",
    "k": "statement",
    "m": [
      "33B10"
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    "u": "/wiki/eulers-formula/"
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  {
    "t": "04R9K5H562",
    "n": "Classification of discontinuities",
    "k": "concept",
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      "26A15"
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    "u": "/wiki/classification-of-discontinuities/"
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  {
    "t": "04RG02S6BA",
    "n": "Cyclic groups are abelian",
    "k": "statement",
    "m": [
      "20A05"
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    "u": "/wiki/cyclic-groups-are-abelian/"
  },
  {
    "t": "04RRB6HM00",
    "n": "Law of total expectation",
    "a": [
      "tower-property",
      "law-of-iterated-expectations",
      "adam-law"
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    "k": "statement",
    "m": [
      "60A10"
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    "u": "/wiki/law-of-total-expectation/"
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  {
    "t": "04RXTQA5ZA",
    "n": "Zorn's lemma",
    "a": [
      "zorn-lemma",
      "kuratowski-zorn-lemma"
    ],
    "k": "statement",
    "m": [
      "03E25"
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    "u": "/wiki/zorns-lemma/"
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  {
    "t": "04S2GMHX82",
    "n": "Parabola",
    "k": "concept",
    "m": [
      "51N20"
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    "u": "/wiki/parabola/"
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  {
    "t": "04S9HX3GAP",
    "n": "Product topology on an arbitrary product",
    "a": [
      "product-of-topological-spaces"
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    "k": "definition",
    "m": [
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    "u": "/wiki/product-topology-on-an-arbitrary-product/"
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  {
    "t": "04SD3F4FCR",
    "n": "Doubling the cube",
    "a": [
      "delian-problem",
      "duplication-of-the-cube"
    ],
    "k": "problem",
    "m": [
      "51M15"
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    "u": "/wiki/doubling-the-cube/"
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  {
    "t": "04SGPNT8R9",
    "n": "Galois field",
    "k": "object",
    "m": [
      "12E20"
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    "u": "/wiki/galois-field/"
  },
  {
    "t": "04SJTX9P4N",
    "n": "Chinese remainder theorem for non-coprime moduli",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/chinese-remainder-theorem-for-non-coprime-moduli/"
  },
  {
    "t": "04SW7WECS8",
    "n": "Solution of an ordinary differential equation",
    "k": "definition",
    "m": [
      "34A99"
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    "u": "/wiki/solution-of-an-ordinary-differential-equation-definition/"
  },
  {
    "t": "04T1CT7212",
    "n": "Contrapositive",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "03B05"
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    "u": "/wiki/contrapositive/"
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  {
    "t": "04TKTF8KDK",
    "n": "Higher derivative",
    "k": "concept",
    "m": [
      "26A24"
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    "u": "/wiki/higher-derivative/"
  },
  {
    "t": "04TMP0XGMJ",
    "n": "Definite integral",
    "k": "concept",
    "m": [
      "26A42"
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    "u": "/wiki/definite-integral/"
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  {
    "t": "04TSHB9H8D",
    "n": "Little o notation",
    "k": "definition",
    "m": [
      "41A60"
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    "u": "/wiki/little-o-notation-definition/"
  },
  {
    "t": "04VA28F3HB",
    "n": "Continued fraction expansion of a real number",
    "k": "concept",
    "m": [
      "11A55"
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    "u": "/wiki/continued-fraction-expansion-of-a-real-number/"
  },
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    "t": "04VCPS30ZE",
    "n": "P-adic valuation",
    "a": [
      "p-adic-order",
      "multiplicity-of-a-prime"
    ],
    "k": "definition",
    "m": [
      "11A51"
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    "u": "/wiki/p-adic-valuation-definition/"
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  {
    "t": "04VZE3FZXF",
    "n": "Random walk",
    "k": "concept",
    "m": [
      "60G50"
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    "u": "/wiki/random-walk/"
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  {
    "t": "04WC36XKV6",
    "n": "Multiplicativity of the divisor function",
    "k": "statement",
    "m": [
      "11A25"
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    "u": "/wiki/multiplicativity-of-the-divisor-function/"
  },
  {
    "t": "04WSW8T3SY",
    "n": "Sigma-algebra",
    "k": "definition",
    "m": [
      "28A05"
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    "u": "/wiki/sigma-algebra-definition/"
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  {
    "t": "04WTBQ7APQ",
    "n": "Integral of cosine",
    "k": "statement",
    "m": [
      "26A36"
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    "u": "/wiki/integral-of-cosine/"
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  {
    "t": "04X3PR72VJ",
    "n": "Determinant as signed volume",
    "k": "concept",
    "m": [
      "15A15"
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    "u": "/wiki/determinant-as-signed-volume/"
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  {
    "t": "04XGKK8WQW",
    "n": "Existence of primitive roots modulo a prime",
    "k": "statement",
    "m": [
      "11A07"
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    "u": "/wiki/existence-of-primitive-roots-modulo-a-prime/"
  },
  {
    "t": "04XPQT2XTC",
    "n": "Every connected graph has a spanning tree",
    "k": "statement",
    "m": [
      "05C05"
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    "u": "/wiki/every-connected-graph-has-a-spanning-tree/"
  },
  {
    "t": "04XWH28452",
    "n": "Elementary row operations",
    "k": "concept",
    "m": [
      "15A06"
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    "u": "/wiki/elementary-row-operations/"
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  {
    "t": "04YG690N5V",
    "n": "Probability density function",
    "k": "definition",
    "m": [
      "60E05"
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    "u": "/wiki/probability-density-function-definition/"
  },
  {
    "t": "04YKAYDQPW",
    "n": "Monotone functions are Riemann integrable",
    "k": "statement",
    "m": [
      "26A42"
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    "u": "/wiki/monotone-functions-are-riemann-integrable/"
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    "t": "04Z5G0THN6",
    "n": "Comparison test",
    "a": [
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    "k": "statement",
    "m": [
      "40A05"
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    "u": "/wiki/comparison-test/"
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    "t": "05006AJ7DZ",
    "n": "Tautology",
    "k": "concept",
    "m": [
      "03B05"
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    "u": "/wiki/tautology/"
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  {
    "t": "05099E1NMJ",
    "n": "Cardinality of a finite set",
    "k": "definition",
    "m": [
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    "u": "/wiki/cardinality-of-a-finite-set-definition/"
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  {
    "t": "050F2FMTKF",
    "n": "Harmonic conjugate",
    "a": [
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    "k": "concept",
    "m": [
      "31A05"
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    "u": "/wiki/harmonic-conjugate/"
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    "t": "0515A6D2Y1",
    "n": "Symmetric group",
    "k": "concept",
    "m": [
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    "u": "/wiki/symmetric-group/"
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  {
    "t": "0518MM6BE1",
    "n": "The real numbers are uncountable",
    "a": [
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    "k": "statement",
    "m": [
      "03E10"
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    "u": "/wiki/the-real-numbers-are-uncountable/"
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  {
    "t": "051CYS71H5",
    "n": "Classical definition of probability",
    "a": [
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      "laplace-probability"
    ],
    "k": "concept",
    "m": [
      "60A05"
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    "u": "/wiki/classical-definition-of-probability/"
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  {
    "t": "051VYKA1EX",
    "n": "Euclid's lemma",
    "k": "statement",
    "m": [
      "11A05"
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    "u": "/wiki/euclids-lemma/"
  },
  {
    "t": "0528HKWZ1Z",
    "n": "Product of a matrix and its adjugate",
    "k": "statement",
    "m": [
      "15A09",
      "15A15"
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    "u": "/wiki/product-of-a-matrix-and-its-adjugate/"
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  {
    "t": "052JJ9YVNM",
    "n": "Graph homomorphism",
    "k": "concept",
    "m": [
      "05C60"
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    "u": "/wiki/graph-homomorphism/"
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    "t": "052M4SX57M",
    "n": "Annihilating polynomial",
    "k": "definition",
    "m": [
      "15A18"
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    "u": "/wiki/annihilating-polynomial-definition/"
  },
  {
    "t": "052SDEPZH7",
    "n": "Irreducible element",
    "k": "definition",
    "m": [
      "13A05"
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    "u": "/wiki/irreducible-element-definition/"
  },
  {
    "t": "053E86NWVK",
    "n": "Associate elements",
    "k": "definition",
    "m": [
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    "u": "/wiki/associate-elements-definition/"
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    "t": "053QVHF6N7",
    "n": "Eigenvalues are the roots of the characteristic polynomial",
    "k": "statement",
    "m": [
      "15A18"
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    "u": "/wiki/eigenvalues-are-the-roots-of-the-characteristic-polynomial/"
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    "t": "054K3HNN5Z",
    "n": "Converse relation",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/converse-relation/"
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  {
    "t": "054Q5PW5GX",
    "n": "Compact iff complete and totally bounded",
    "k": "statement",
    "m": [
      "54E45"
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    "u": "/wiki/compact-iff-complete-and-totally-bounded/"
  },
  {
    "t": "054SBCQ93T",
    "n": "The dihedral group of order 8",
    "k": "example",
    "m": [
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    "u": "/wiki/the-dihedral-group-of-order-8/"
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  {
    "t": "054VXHMCA3",
    "n": "Complex exponential",
    "k": "definition",
    "m": [
      "33B10"
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    "u": "/wiki/complex-exponential-definition/"
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  {
    "t": "054YEQ0Y8M",
    "n": "Sesquilinear form",
    "k": "concept",
    "m": [
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    "u": "/wiki/sesquilinear-form/"
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    "t": "05598J0Y8R",
    "n": "Fermat numbers are pairwise coprime",
    "a": [
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    "k": "statement",
    "m": [
      "11A41"
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    "u": "/wiki/fermat-numbers-are-pairwise-coprime/"
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  {
    "t": "055HT85T3S",
    "n": "PID implies UFD",
    "k": "statement",
    "m": [
      "13F15"
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    "u": "/wiki/pid-implies-ufd/"
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  {
    "t": "055VNYT0PB",
    "n": "Perpendicular bisector",
    "k": "concept",
    "m": [
      "51M04"
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    "u": "/wiki/perpendicular-bisector/"
  },
  {
    "t": "055VVSN00V",
    "n": "Lipschitz condition",
    "k": "definition",
    "m": [
      "26A16",
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    "u": "/wiki/lipschitz-condition-definition/"
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  {
    "t": "055Z15H69G",
    "n": "Sequential continuity",
    "k": "concept",
    "m": [
      "26A15"
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    "u": "/wiki/sequential-continuity/"
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  {
    "t": "0565DC8RMK",
    "n": "Jordan measure",
    "k": "definition",
    "m": [
      "28A75"
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    "u": "/wiki/jordan-measure-definition/"
  },
  {
    "t": "0565EGK6XP",
    "n": "Lebesgue's criterion for Riemann integrability",
    "a": [
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    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/lebesgues-criterion-for-riemann-integrability/"
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  {
    "t": "056FSKG32J",
    "n": "Pointwise convergence",
    "k": "definition",
    "m": [
      "40A30"
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    "u": "/wiki/pointwise-convergence-definition/"
  },
  {
    "t": "056SW1E0AC",
    "n": "A matrix is diagonalisable iff it has a basis of eigenvectors",
    "k": "statement",
    "m": [
      "15A20"
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    "u": "/wiki/a-matrix-is-diagonalisable-iff-it-has-a-basis-of-eigenvectors/"
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    "t": "056VS31A0J",
    "n": "Isosceles triangle theorem",
    "a": [
      "pons-asinorum",
      "base-angles-theorem"
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    "k": "statement",
    "m": [
      "51M04"
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    "u": "/wiki/isosceles-triangle-theorem/"
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  {
    "t": "05788J51WZ",
    "n": "Parametrised surface",
    "k": "definition",
    "m": [
      "53A05"
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    "u": "/wiki/parametrised-surface-definition/"
  },
  {
    "t": "0578PA53VA",
    "n": "Generating function for partitions",
    "k": "statement",
    "m": [
      "11P81"
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    "u": "/wiki/generating-function-for-partitions/"
  },
  {
    "t": "057BH3JC9S",
    "n": "The nth roots of unity",
    "k": "statement",
    "m": [
      "11R18"
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    "u": "/wiki/the-nth-roots-of-unity/"
  },
  {
    "t": "057H72B2MB",
    "n": "Number of compositions",
    "k": "statement",
    "m": [
      "05A17"
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    "u": "/wiki/number-of-compositions/"
  },
  {
    "t": "0580ZJSA3Q",
    "n": "Binary operation",
    "k": "definition",
    "m": [
      "08A02"
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    "u": "/wiki/binary-operation-definition/"
  },
  {
    "t": "058YS05YP5",
    "n": "Ptolemy's theorem",
    "k": "statement",
    "m": [
      "51M04"
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    "u": "/wiki/ptolemys-theorem/"
  },
  {
    "t": "059Q2XWJDC",
    "n": "Scalar triple product",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "15A72"
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    "u": "/wiki/scalar-triple-product/"
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  {
    "t": "059THXBRBB",
    "n": "Isomorphism with the coordinate space",
    "k": "statement",
    "m": [
      "15A03"
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    "u": "/wiki/isomorphism-with-the-coordinate-space/"
  },
  {
    "t": "059TJN0NZ1",
    "n": "Probability measure",
    "a": [
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    "k": "concept",
    "m": [
      "60A10"
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    "u": "/wiki/probability-measure/"
  },
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    "t": "05A6PKMAJ9",
    "n": "Partition of an interval",
    "k": "concept",
    "m": [
      "26A42"
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    "u": "/wiki/partition-of-an-interval/"
  },
  {
    "t": "05APWSX53S",
    "n": "Sum of a finite geometric series",
    "k": "statement",
    "m": [
      "40A05"
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    "u": "/wiki/sum-of-a-finite-geometric-series/"
  },
  {
    "t": "05AQE0QR0D",
    "n": "Normal distribution",
    "a": [
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    "m": [
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    "u": "/wiki/normal-distribution/"
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    "t": "05AVARPXA2",
    "n": "Binary relation",
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    "u": "/wiki/binary-relation/"
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    "t": "05AW1G0WE1",
    "n": "Expectation of a product of independent random variables",
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    "u": "/wiki/expectation-of-a-product-of-independent-random-variables/"
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    "t": "05AXG3QRKR",
    "n": "Partial derivative",
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    "t": "05B0FKFXQA",
    "n": "Jump discontinuity",
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    "t": "05BDYVQQ0T",
    "n": "Space of solutions of a linear recurrence",
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    "t": "05BM304NRX",
    "n": "Stabilisers of points in the same orbit are conjugate",
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      "20B05"
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    "t": "05CG0S20S3",
    "n": "Tangent function",
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      "33B10"
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    "u": "/wiki/tangent-function/"
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    "t": "05CJSSXPR3",
    "n": "Determinant of a family of vectors in a basis",
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    "t": "05D5EGMFYV",
    "n": "Boundary",
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    "t": "05DEJR6TGF",
    "n": "Zeckendorf's theorem",
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    "t": "05DME4TZ3K",
    "n": "Pascal's triangle",
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    "t": "05DSV40EB9",
    "n": "Closed ball",
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    "u": "/wiki/closed-ball-definition/"
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    "t": "05EGFBZTGC",
    "n": "Having a directional derivative",
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    "t": "05EGHEQZAW",
    "n": "Vector space",
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    "t": "05FD317V2W",
    "n": "Left coset",
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    "u": "/wiki/left-coset-definition/"
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    "t": "05FKHRT0B4",
    "n": "Polarisation identity",
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    "m": [
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    "u": "/wiki/polarisation-identity/"
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    "t": "05FQ3VGAR9",
    "n": "Bounded sequence",
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    "u": "/wiki/bounded-sequence-definition/"
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    "t": "05FSTXM92W",
    "n": "Likelihood function",
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    "u": "/wiki/likelihood-function-definition/"
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    "t": "05G2G0P224",
    "n": "Dimension",
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    "m": [
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    "u": "/wiki/dimension-definition/"
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    "t": "05GK32H72H",
    "n": "Union of a family of sets",
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    "u": "/wiki/union-of-a-family-of-sets/"
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    "t": "05GQJXBP3F",
    "n": "T1 space",
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    "t": "05GZ11PWRY",
    "n": "Homeomorphism",
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    "n": "Dihedral angle",
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    "u": "/wiki/dihedral-angle/"
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    "n": "Dot product",
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    "t": "05HYGWFG63",
    "n": "Inner automorphism group is isomorphic to G modulo its centre",
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    "t": "05J9NWX07X",
    "n": "Transitive closure",
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    "t": "05K3J8J8T2",
    "n": "The rationals as the field of fractions of the integers",
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    "t": "05KQ3F99BQ",
    "n": "Improper integral",
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    "u": "/wiki/improper-integral/"
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    "t": "05M5SWSZZD",
    "n": "Limit of a sequence",
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    "u": "/wiki/limit-of-a-sequence/"
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    "t": "05MC3HND79",
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    "a": [
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    "u": "/wiki/poincare-lemma-for-one-forms-on-convex-sets/"
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    "t": "05MDKQBEAF",
    "n": "Angle sum of a triangle",
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    "m": [
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    "u": "/wiki/angle-sum-of-a-triangle/"
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    "t": "05MW7MPRBS",
    "n": "Cross-ratio",
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    "m": [
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    "u": "/wiki/cross-ratio-definition/"
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    "t": "05N4TQKPH0",
    "n": "Subgroup criterion",
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    "m": [
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    "u": "/wiki/subgroup-criterion/"
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    "t": "05NAS7AGMZ",
    "n": "Field generated by adjoining elements",
    "a": [
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    "t": "05NK26G0DR",
    "n": "Composition of continuous maps is continuous",
    "k": "statement",
    "m": [
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    "u": "/wiki/composition-of-continuous-maps-is-continuous/"
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    "t": "05NWGBHKSZ",
    "n": "Eulerian trail",
    "k": "concept",
    "m": [
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    "u": "/wiki/eulerian-trail/"
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    "t": "05NZ1HHQMV",
    "n": "Mean squared error",
    "a": [
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    "k": "concept",
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    "u": "/wiki/mean-squared-error/"
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    "t": "05P4B4Q22V",
    "n": "Derivative of arctangent",
    "k": "statement",
    "m": [
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    "u": "/wiki/derivative-of-arctangent/"
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    "t": "05PWWHYBX5",
    "n": "Markov's inequality",
    "k": "statement",
    "m": [
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    "u": "/wiki/markovs-inequality/"
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    "t": "05Q1B7MH0M",
    "n": "Matrix of a composition is the product of matrices",
    "k": "statement",
    "m": [
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    "u": "/wiki/matrix-of-a-composition-is-the-product-of-matrices/"
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    "t": "05Q4JD6XEH",
    "n": "Orthogonal family for a bilinear form",
    "k": "definition",
    "m": [
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    "u": "/wiki/orthogonal-family-for-a-bilinear-form-definition/"
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    "t": "05Q6G4EH2G",
    "n": "Family of sets",
    "k": "definition",
    "m": [
      "03E20"
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    "u": "/wiki/family-of-sets-definition/"
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    "t": "05QY1VEBYD",
    "n": "Finitely generated module",
    "k": "concept",
    "m": [
      "13E15",
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    "u": "/wiki/finitely-generated-module/"
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    "t": "05R9NF2J49",
    "n": "Conservative vector field",
    "k": "definition",
    "m": [
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    "u": "/wiki/conservative-vector-field-definition/"
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  {
    "t": "05RCDKHZM6",
    "n": "Additivity of the integral over intervals",
    "k": "statement",
    "m": [
      "26A42"
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    "u": "/wiki/additivity-of-the-integral-over-intervals/"
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    "t": "05RCT1522R",
    "n": "Laplacian as a sum of second partial derivatives",
    "a": [
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    "k": "statement",
    "m": [
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    "u": "/wiki/laplacian-as-a-sum-of-second-partial-derivatives/"
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  {
    "t": "05RN90E14Y",
    "n": "Number of edges of a complete graph",
    "k": "statement",
    "m": [
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    "u": "/wiki/number-of-edges-of-a-complete-graph/"
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  {
    "t": "05RSK4Q657",
    "n": "Truth table",
    "k": "concept",
    "m": [
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    "u": "/wiki/truth-table/"
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    "t": "05RWFKVTJ7",
    "n": "Permutation",
    "k": "concept",
    "m": [
      "05A05"
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    "u": "/wiki/permutation/"
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  {
    "t": "05RZ4YZG4E",
    "n": "Standard score",
    "k": "definition",
    "m": [
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    "u": "/wiki/standard-score-definition/"
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    "t": "05S2GSPMGA",
    "n": "Harmonic numbers grow like log n",
    "k": "statement",
    "m": [
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    "u": "/wiki/harmonic-numbers-grow-like-log-n/"
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    "t": "05SG20AMXH",
    "n": "Left inverse",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/left-inverse/"
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    "t": "05SZQKH75K",
    "n": "Negation of an existential statement",
    "k": "statement",
    "m": [
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    "u": "/wiki/negation-of-an-existential-statement/"
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    "t": "05TG0SE4HT",
    "n": "Poisson point process",
    "k": "definition",
    "m": [
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    "u": "/wiki/poisson-point-process-definition/"
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  {
    "t": "05THZKR9AN",
    "n": "Group of units of a ring",
    "k": "definition",
    "m": [
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    "u": "/wiki/group-of-units-of-a-ring-definition/"
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  {
    "t": "05V7J4WD1C",
    "n": "Equality of complex numbers",
    "k": "statement",
    "m": [
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    "u": "/wiki/equality-of-complex-numbers/"
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  {
    "t": "05VDGH129F",
    "n": "Phase plane",
    "k": "concept",
    "m": [
      "34C05"
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    "u": "/wiki/phase-plane/"
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    "t": "05WAF5T0GZ",
    "n": "Maximal ideals are prime",
    "k": "statement",
    "m": [
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    "u": "/wiki/maximal-ideals-are-prime/"
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    "t": "05WDSN597C",
    "n": "Submodule",
    "k": "concept",
    "m": [
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    "u": "/wiki/submodule/"
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    "t": "05WEYX99X4",
    "n": "Inverse trigonometric functions",
    "k": "concept",
    "m": [
      "33B10"
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    "u": "/wiki/inverse-trigonometric-functions/"
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  {
    "t": "05WKRC7HWT",
    "n": "Jacobian of spherical coordinates",
    "a": [
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    "k": "statement",
    "m": [
      "26B15"
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    "u": "/wiki/jacobian-of-spherical-coordinates/"
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    "t": "05WR29H2KH",
    "n": "Number of derangements",
    "k": "concept",
    "m": [
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    "u": "/wiki/number-of-derangements/"
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    "t": "05WTQ6FFPS",
    "n": "Set difference",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/set-difference/"
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    "t": "05XT5AVJBK",
    "n": "Laplace transform",
    "k": "definition",
    "m": [
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    "u": "/wiki/laplace-transform-definition/"
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    "t": "05Y0F9M0TS",
    "n": "Subgroups of solvable groups are solvable",
    "k": "statement",
    "m": [
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    "u": "/wiki/subgroups-of-solvable-groups-are-solvable/"
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    "t": "05Y1JAM3Y5",
    "n": "Asymptotic stability",
    "a": [
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    "k": "definition",
    "m": [
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    "u": "/wiki/asymptotic-stability-definition/"
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    "t": "05YBKMRVAR",
    "n": "Composition of linear maps",
    "k": "definition",
    "m": [
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    "u": "/wiki/composition-of-linear-maps-definition/"
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    "t": "05Z3FC0154",
    "n": "Isolated singularity",
    "a": [
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    "k": "concept",
    "m": [
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    "u": "/wiki/isolated-singularity/"
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    "t": "05ZPH8KF9K",
    "n": "Perfect matching",
    "k": "definition",
    "m": [
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    "u": "/wiki/perfect-matching-definition/"
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  {
    "t": "060W5CBZP6",
    "n": "Circle",
    "k": "concept",
    "m": [
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    "u": "/wiki/circle/"
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    "t": "060Z37VVB6",
    "n": "Right coset",
    "k": "definition",
    "m": [
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    "u": "/wiki/right-coset-definition/"
  },
  {
    "t": "060ZVZBV3E",
    "n": "Law of cosines",
    "a": [
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    "k": "statement",
    "m": [
      "51M04"
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    "u": "/wiki/law-of-cosines/"
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  {
    "t": "060ZX7C32T",
    "n": "Carmichael number",
    "k": "concept",
    "m": [
      "11A51"
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    "u": "/wiki/carmichael-number/"
  },
  {
    "t": "061BTYA0RN",
    "n": "Lucas–Lehmer test",
    "a": [
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    "k": "statement",
    "m": [
      "11Y11"
    ],
    "u": "/wiki/lucas-lehmer-test/"
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  {
    "t": "061J5VGSPT",
    "n": "Symmetric relation",
    "a": [
      "symmetry-of-a-relation"
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    "k": "concept",
    "m": [
      "03E20"
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    "u": "/wiki/symmetric-relation/"
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  {
    "t": "062D9KXJB1",
    "n": "Tree",
    "k": "concept",
    "m": [
      "05C05"
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    "u": "/wiki/tree/"
  },
  {
    "t": "062MQGP8M5",
    "n": "Trail",
    "k": "definition",
    "m": [
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    "u": "/wiki/trail-definition/"
  },
  {
    "t": "06395GBNWD",
    "n": "Gamma distribution",
    "k": "definition",
    "m": [
      "60E05"
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    "u": "/wiki/gamma-distribution-definition/"
  },
  {
    "t": "063D5Z2C70",
    "n": "Nilpotent endomorphism",
    "k": "concept",
    "m": [
      "15A04",
      "15A21"
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    "u": "/wiki/nilpotent-endomorphism/"
  },
  {
    "t": "063H5KJC69",
    "n": "First fundamental theorem of calculus",
    "k": "statement",
    "m": [
      "26A42"
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    "u": "/wiki/first-fundamental-theorem-of-calculus/"
  },
  {
    "t": "063JNBSMJ0",
    "n": "Goldbach's conjecture",
    "a": [
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    "k": "conjecture",
    "m": [
      "11P32"
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    "u": "/wiki/goldbachs-conjecture/"
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  {
    "t": "063W5JMY85",
    "n": "Metric space",
    "k": "definition",
    "m": [
      "54E35"
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    "u": "/wiki/metric-space-definition/"
  },
  {
    "t": "064N002TX4",
    "n": "Order of a zero",
    "a": [
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    "k": "definition",
    "m": [
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    "u": "/wiki/order-of-a-zero-definition/"
  },
  {
    "t": "0659J5X7B5",
    "n": "LaSalle's invariance principle",
    "a": [
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      "krasovskii-lasalle-principle"
    ],
    "k": "statement",
    "m": [
      "34D20",
      "34D23"
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    "u": "/wiki/lasalles-invariance-principle/"
  },
  {
    "t": "065CK367F9",
    "n": "Coprime ideals",
    "a": [
      "comaximal-ideals"
    ],
    "k": "concept",
    "m": [
      "13A15"
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    "u": "/wiki/coprime-ideals/"
  },
  {
    "t": "065HE5V98E",
    "n": "Surface integral",
    "k": "concept",
    "m": [
      "26B15"
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    "u": "/wiki/surface-integral/"
  },
  {
    "t": "065J822CKN",
    "n": "Inclusion of a subspace is continuous",
    "k": "statement",
    "m": [
      "54B05"
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    "u": "/wiki/inclusion-of-a-subspace-is-continuous/"
  },
  {
    "t": "065JWMZW86",
    "n": "Area of a triangle",
    "k": "concept",
    "m": [
      "51M25"
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    "u": "/wiki/area-of-a-triangle/"
  },
  {
    "t": "065S5B9HF1",
    "n": "Repeating decimals are rational",
    "k": "statement",
    "m": [
      "11A63"
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    "u": "/wiki/repeating-decimals-are-rational/"
  },
  {
    "t": "065X9S8CM3",
    "n": "De Moivre–Laplace theorem",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "60F05"
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    "u": "/wiki/de-moivre-laplace-theorem/"
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    "n": "Continuous image of a closed interval is a closed interval",
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  {
    "t": "072W67KFYK",
    "n": "Formal power series",
    "k": "definition",
    "m": [
      "13F25"
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    "u": "/wiki/formal-power-series-definition/"
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  {
    "t": "0734RSVF2V",
    "n": "Limit of a product of sequences",
    "k": "statement",
    "m": [
      "40A05"
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    "u": "/wiki/limit-of-a-product-of-sequences/"
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  {
    "t": "0736AXH2ME",
    "n": "Cyclic groups of the same order are isomorphic",
    "k": "statement",
    "m": [
      "20A05"
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    "u": "/wiki/cyclic-groups-of-the-same-order-are-isomorphic/"
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  {
    "t": "073C80EC63",
    "n": "Third isomorphism theorem for rings",
    "k": "statement",
    "m": [
      "16D25"
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    "u": "/wiki/third-isomorphism-theorem-for-rings/"
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  {
    "t": "073E4XC016",
    "n": "Associativity of matrix multiplication",
    "k": "statement",
    "m": [
      "15A99"
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    "u": "/wiki/associativity-of-matrix-multiplication/"
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  {
    "t": "073JKP99K2",
    "n": "Tangent plane and normal vector of a surface",
    "a": [
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    "k": "concept",
    "m": [
      "53A05"
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    "u": "/wiki/tangent-plane-and-normal-vector-of-a-surface/"
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  {
    "t": "073MWACF1K",
    "n": "Order of a pole",
    "a": [
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    "k": "concept",
    "m": [
      "30D30"
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    "u": "/wiki/order-of-a-pole/"
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  {
    "t": "073Q8Z94KG",
    "n": "Kolmogorov's zero–one law",
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      "kolmogorov-0-1-law",
      "kolmogorov-zero-one-law"
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    "k": "statement",
    "m": [
      "60F20"
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    "u": "/wiki/kolmogorovs-zero-one-law/"
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  {
    "t": "074482Q7CD",
    "n": "Correspondence between equivalence relations and partitions",
    "a": [
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    "k": "statement",
    "m": [
      "03E20"
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    "u": "/wiki/correspondence-between-equivalence-relations-and-partitions/"
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  {
    "t": "0744CN4MDA",
    "n": "Symmetric bilinear form",
    "k": "definition",
    "m": [
      "15A63"
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    "u": "/wiki/symmetric-bilinear-form-definition/"
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  {
    "t": "074E9A8ZJK",
    "n": "Separable equation",
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/separable-equation/"
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  {
    "t": "074P7C85XH",
    "n": "Gaussian integer",
    "k": "concept",
    "m": [
      "11R11"
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    "u": "/wiki/gaussian-integer/"
  },
  {
    "t": "0753Y2X5K6",
    "n": "One-sided inverse of a square matrix is two-sided",
    "k": "statement",
    "m": [
      "15A09"
    ],
    "u": "/wiki/one-sided-inverse-of-a-square-matrix-is-two-sided/"
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  {
    "t": "075C629XTH",
    "n": "Simply connected domain",
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    "m": [
      "55Q05"
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  {
    "t": "075PM9FH7A",
    "n": "The reals have the cardinality of the continuum",
    "a": [
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    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/the-reals-have-the-cardinality-of-the-continuum/"
  },
  {
    "t": "075VBY4K4X",
    "n": "Initial value problem",
    "a": [
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    "k": "definition",
    "m": [
      "34A12"
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    "u": "/wiki/initial-value-problem-definition/"
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  {
    "t": "075WR6W3Y3",
    "n": "Path graph",
    "k": "example",
    "m": [
      "05C38"
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    "u": "/wiki/path-graph/"
  },
  {
    "t": "0762WAE49P",
    "n": "Uniqueness of the derivative",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/uniqueness-of-the-derivative/"
  },
  {
    "t": "076JGP6R3T",
    "n": "Matrix multiplication",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-multiplication-definition/"
  },
  {
    "t": "0771AJP4BX",
    "n": "Even and odd permutations",
    "a": [
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    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/even-and-odd-permutations-definition/"
  },
  {
    "t": "077GN9HDR6",
    "n": "Independent random variables are uncorrelated",
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independent-random-variables-are-uncorrelated/"
  },
  {
    "t": "0783S9D0ZH",
    "n": "Determinant of the inverse",
    "k": "statement",
    "m": [
      "15A15"
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    "u": "/wiki/determinant-of-the-inverse/"
  },
  {
    "t": "079D68S3AW",
    "n": "Orthogonal complement",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthogonal-complement-definition/"
  },
  {
    "t": "079EGSD32Y",
    "n": "Transcendental number",
    "k": "definition",
    "m": [
      "11J81"
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    "u": "/wiki/transcendental-number-definition/"
  },
  {
    "t": "07BNRFQ0PJ",
    "n": "Autonomous system",
    "k": "definition",
    "m": [
      "34A34",
      "37C10"
    ],
    "u": "/wiki/autonomous-system-definition/"
  },
  {
    "t": "07BSPZPSMF",
    "n": "Nilpotent matrix",
    "k": "concept",
    "m": [
      "15A99"
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    "u": "/wiki/nilpotent-matrix/"
  },
  {
    "t": "07BY47HG5S",
    "n": "Continuity of the inverse of a strictly monotone continuous function",
    "k": "statement",
    "m": [
      "26A48"
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    "u": "/wiki/continuity-of-the-inverse-of-a-strictly-monotone-continuous-function/"
  },
  {
    "t": "07C4A8Y18K",
    "n": "Conjunctive normal form",
    "k": "definition",
    "m": [
      "03B05"
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    "u": "/wiki/conjunctive-normal-form-definition/"
  },
  {
    "t": "07C6ECNJET",
    "n": "Group of units of a ring",
    "a": [
      "unit-group",
      "multiplicative-group-of-a-ring"
    ],
    "k": "concept",
    "m": [
      "16U60"
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    "u": "/wiki/group-of-units-of-a-ring/"
  },
  {
    "t": "07CHJ5YX28",
    "n": "Convolution of probability distributions",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/convolution-of-probability-distributions-definition/"
  },
  {
    "t": "07CJNE6ZAQ",
    "n": "Taxicab metric",
    "a": [
      "manhattan-metric",
      "l1-metric"
    ],
    "k": "example",
    "m": [
      "51F99"
    ],
    "u": "/wiki/taxicab-metric/"
  },
  {
    "t": "07CQR9BW3R",
    "n": "Classification of finite abelian groups",
    "a": [
      "fundamental-theorem-of-finite-abelian-groups",
      "basis-theorem-for-finite-abelian-groups"
    ],
    "k": "statement",
    "m": [
      "20K01"
    ],
    "u": "/wiki/classification-of-finite-abelian-groups/"
  },
  {
    "t": "07CT9RDY7Q",
    "n": "Cycle",
    "k": "definition",
    "m": [
      "05C38"
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    "u": "/wiki/cycle-definition/"
  },
  {
    "t": "07CZYE06ZJ",
    "n": "Lcm of coprime integers",
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/lcm-of-coprime-integers/"
  },
  {
    "t": "07DCKDXRBP",
    "n": "Lipschitz maps are uniformly continuous",
    "k": "statement",
    "m": [
      "26A16"
    ],
    "u": "/wiki/lipschitz-maps-are-uniformly-continuous/"
  },
  {
    "t": "07DFG5JYPT",
    "n": "Incircle",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/incircle/"
  },
  {
    "t": "07DJAZW32T",
    "n": "Integrating factor",
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/integrating-factor/"
  },
  {
    "t": "07DVHJ8N0A",
    "n": "Bipartite graph",
    "k": "definition",
    "m": [
      "05C75"
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    "u": "/wiki/bipartite-graph-definition/"
  },
  {
    "t": "07E5MB1CA2",
    "n": "Cauchy–Hadamard theorem",
    "a": [
      "cauchy-hadamard-formula"
    ],
    "k": "statement",
    "m": [
      "30B10"
    ],
    "u": "/wiki/cauchy-hadamard-theorem/"
  },
  {
    "t": "07E6D8R4D6",
    "n": "Disjoint cycles commute",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/disjoint-cycles-commute/"
  },
  {
    "t": "07EGCNHAVW",
    "n": "Limit point of a set",
    "a": [
      "cluster-point-of-a-set"
    ],
    "k": "definition",
    "m": [
      "26A03"
    ],
    "u": "/wiki/limit-point-of-a-set/"
  },
  {
    "t": "07EH4R3RVQ",
    "n": "Composition of surjections is surjective",
    "a": [
      "surjective-comp"
    ],
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/composition-of-surjections-is-surjective/"
  },
  {
    "t": "07EJHQYR9A",
    "n": "Grönwall's inequality",
    "a": [
      "gronwall-lemma",
      "gronwall-bellman-inequality"
    ],
    "k": "statement",
    "m": [
      "26D10",
      "34A40"
    ],
    "u": "/wiki/gronwalls-inequality/"
  },
  {
    "t": "07EXVNF9VP",
    "n": "Newton's method",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "65H05"
    ],
    "u": "/wiki/newtons-method/"
  },
  {
    "t": "07EZA80NEH",
    "n": "Signature of a quadratic form",
    "k": "concept",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/signature-of-a-quadratic-form/"
  },
  {
    "t": "07GJV36896",
    "n": "Complex exponential",
    "a": [
      "exponential-function",
      "exp"
    ],
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-exponential/"
  },
  {
    "t": "07GNX8GCYP",
    "n": "Polynomials in several variables",
    "a": [
      "multivariate-polynomial-ring"
    ],
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/polynomials-in-several-variables/"
  },
  {
    "t": "07GR3TNW4H",
    "n": "Convex function on R^n",
    "a": [
      "convex-function-several-variables"
    ],
    "k": "concept",
    "m": [
      "26B25"
    ],
    "u": "/wiki/convex-function-on-r-n/"
  },
  {
    "t": "07HF9YCWPP",
    "n": "Function composition",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/function-composition-definition/"
  },
  {
    "t": "07HFRH2AWY",
    "n": "Circulant matrix",
    "k": "example",
    "m": [
      "15B05"
    ],
    "u": "/wiki/circulant-matrix/"
  },
  {
    "t": "07HXA8KV6F",
    "n": "Pépin's test",
    "k": "statement",
    "m": [
      "11Y11"
    ],
    "u": "/wiki/pepins-test/"
  },
  {
    "t": "07J5X2T1ZX",
    "n": "A function with positive derivative is strictly increasing",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/a-function-with-positive-derivative-is-strictly-increasing/"
  },
  {
    "t": "07J9ZJFECP",
    "n": "Order on the integers",
    "k": "concept",
    "m": [
      "06F25"
    ],
    "u": "/wiki/order-on-the-integers/"
  },
  {
    "t": "07JBSZE0V4",
    "n": "Dual space",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-space/"
  },
  {
    "t": "07JH131FVP",
    "n": "Linear first-order equation",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-first-order-equation/"
  },
  {
    "t": "07KBQCG9KV",
    "n": "i squared is minus one",
    "k": "statement",
    "m": [
      "12D99"
    ],
    "u": "/wiki/i-squared-is-minus-one/"
  },
  {
    "t": "07KVB4JSC7",
    "n": "Union",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/union-definition/"
  },
  {
    "t": "07MMWAXMYD",
    "n": "If 2^p − 1 is prime then p is prime",
    "k": "statement",
    "m": [
      "11A41"
    ],
    "u": "/wiki/if-2-p-1-is-prime-then-p-is-prime/"
  },
  {
    "t": "07N7W5C29X",
    "n": "Continuity at a point of a topological space",
    "k": "definition",
    "m": [
      "54C05"
    ],
    "u": "/wiki/continuity-at-a-point-of-a-topological-space/"
  },
  {
    "t": "07NKG38VEG",
    "n": "Fermat's Last Theorem for n = 3",
    "k": "statement",
    "m": [
      "11D25"
    ],
    "u": "/wiki/fermats-last-theorem-for-n-3/"
  },
  {
    "t": "07NN4VNYWM",
    "n": "Liouville function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/liouville-function/"
  },
  {
    "t": "07NSKDGS7S",
    "n": "Menelaus's theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/menelauss-theorem/"
  },
  {
    "t": "07PB7HH1T9",
    "n": "Picard operator",
    "k": "concept",
    "m": [
      "34A12"
    ],
    "u": "/wiki/picard-operator/"
  },
  {
    "t": "07PFYV65MB",
    "n": "Heine–Borel theorem",
    "a": [
      "heine-borel-theorem"
    ],
    "k": "statement",
    "m": [
      "54E45"
    ],
    "u": "/wiki/heine-borel-theorem/"
  },
  {
    "t": "07PH4RX0X5",
    "n": "Jordan block",
    "k": "concept",
    "m": [
      "15A21"
    ],
    "u": "/wiki/jordan-block/"
  },
  {
    "t": "07PNDWA7CE",
    "n": "Generalised eigenspace",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/generalised-eigenspace-definition/"
  },
  {
    "t": "07PTPSZPME",
    "n": "Trace of a matrix",
    "k": "definition",
    "m": [
      "15A15"
    ],
    "u": "/wiki/trace-of-a-matrix-definition/"
  },
  {
    "t": "07Q4TBTFVB",
    "n": "Möbius inversion formula",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/mobius-inversion-formula/"
  },
  {
    "t": "07Q7CNM5WF",
    "n": "Convex function",
    "k": "concept",
    "m": [
      "26A51"
    ],
    "u": "/wiki/convex-function/"
  },
  {
    "t": "07QY5RPFBR",
    "n": "Subfield",
    "k": "definition",
    "m": [
      "12F99"
    ],
    "u": "/wiki/subfield-definition/"
  },
  {
    "t": "07RB3EMBWW",
    "n": "Third isomorphism theorem for vector spaces",
    "k": "statement",
    "m": [
      "15A03",
      "16D10"
    ],
    "u": "/wiki/third-isomorphism-theorem-for-vector-spaces/"
  },
  {
    "t": "07RB7B04HX",
    "n": "Uniform continuity on a set",
    "k": "concept",
    "m": [
      "26A15"
    ],
    "u": "/wiki/uniform-continuity-on-a-set/"
  },
  {
    "t": "07RGNK57ED",
    "n": "Divisibility in a commutative ring",
    "k": "concept",
    "m": [
      "13A05"
    ],
    "u": "/wiki/divisibility-in-a-commutative-ring/"
  },
  {
    "t": "07RXBVTVZB",
    "n": "Normal distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/normal-distribution-definition/"
  },
  {
    "t": "07SDJ5DNE4",
    "n": "Equation of a plane",
    "a": [
      "point-normal-form"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/equation-of-a-plane/"
  },
  {
    "t": "07SG12TQH3",
    "n": "T0 space",
    "a": [
      "kolmogorov-space"
    ],
    "k": "concept",
    "m": [
      "54D10"
    ],
    "u": "/wiki/t0-space/"
  },
  {
    "t": "07SJXTWVQW",
    "n": "Linear isometry",
    "k": "concept",
    "m": [
      "15A04",
      "46B04"
    ],
    "u": "/wiki/linear-isometry/"
  },
  {
    "t": "07SQCNV233",
    "n": "Diagonalisable matrix",
    "a": [
      "diagonalizable-matrix"
    ],
    "k": "concept",
    "m": [
      "15A20"
    ],
    "u": "/wiki/diagonalisable-matrix/"
  },
  {
    "t": "07T2TKGZ4J",
    "n": "Derivatives of the hyperbolic functions",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivatives-of-the-hyperbolic-functions/"
  },
  {
    "t": "07TXYYVYZR",
    "n": "Distance from a point to a set",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/distance-from-a-point-to-a-set-definition/"
  },
  {
    "t": "07TZ2Q4C1M",
    "n": "Trajectory",
    "a": [
      "orbit"
    ],
    "k": "concept",
    "m": [
      "37C10"
    ],
    "u": "/wiki/trajectory/"
  },
  {
    "t": "07TZV87Y0T",
    "n": "Recurrence relation",
    "k": "definition",
    "m": [
      "39A05"
    ],
    "u": "/wiki/recurrence-relation-definition/"
  },
  {
    "t": "07VHQ31EYJ",
    "n": "Young's inequality for products",
    "k": "statement",
    "m": [
      "26D15"
    ],
    "u": "/wiki/youngs-inequality-for-products/"
  },
  {
    "t": "07VX34QXAV",
    "n": "Solution of an ordinary differential equation",
    "a": [
      "integral-curve"
    ],
    "k": "concept",
    "m": [
      "34A99"
    ],
    "u": "/wiki/solution-of-an-ordinary-differential-equation/"
  },
  {
    "t": "07W9H8QF38",
    "n": "Adjugate matrix",
    "a": [
      "classical-adjoint"
    ],
    "k": "concept",
    "m": [
      "15A09",
      "15A15"
    ],
    "u": "/wiki/adjugate-matrix/"
  },
  {
    "t": "07WBTX1MHA",
    "n": "Inverse Laplace transform",
    "k": "concept",
    "m": [
      "44A10"
    ],
    "u": "/wiki/inverse-laplace-transform/"
  },
  {
    "t": "07WYQPB8E3",
    "n": "Identity element",
    "a": [
      "neutral-element"
    ],
    "k": "concept",
    "m": [
      "08A02"
    ],
    "u": "/wiki/identity-element/"
  },
  {
    "t": "07X1QA6BRW",
    "n": "Derivative of the logarithm",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivative-of-the-logarithm/"
  },
  {
    "t": "07XBM3A9J5",
    "n": "Algebra of limits",
    "a": [
      "limit-laws"
    ],
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/algebra-of-limits/"
  },
  {
    "t": "07XF282NWH",
    "n": "Image of a set",
    "a": [
      "direct-image"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/image-of-a-set/"
  },
  {
    "t": "07Y2E7P9NP",
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    "n": "Phase line",
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    "n": "Lower central series",
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    "n": "Independence means the joint law is the product of the marginals",
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    "n": "Cesàro mean",
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    "n": "Liouville function",
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    "t": "08SP3DF8NB",
    "n": "Permutation matrix",
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    "t": "08SVRVHJNY",
    "n": "Topological embedding",
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    "t": "08V7JHS3QZ",
    "n": "Order of an element divides the order of the group",
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    "n": "Semisimple endomorphism",
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    "t": "08VV7YJRB7",
    "n": "Content of a polynomial",
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    "t": "09JXE6XMCC",
    "n": "Sum of the totient over the divisors",
    "a": [
      "gauss-totient-sum"
    ],
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/sum-of-the-totient-over-the-divisors/"
  },
  {
    "t": "09JZ9P4899",
    "n": "Groups of order p squared are abelian",
    "k": "statement",
    "m": [
      "20D15"
    ],
    "u": "/wiki/groups-of-order-p-squared-are-abelian/"
  },
  {
    "t": "09K9MWD2QQ",
    "n": "Propositional logic",
    "a": [
      "sentential-logic",
      "propositional-calculus"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/propositional-logic/"
  },
  {
    "t": "09KDHB82SG",
    "n": "Metrizable space",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metrizable-space-definition/"
  },
  {
    "t": "09M2RDB61G",
    "n": "Order of a differential equation",
    "k": "definition",
    "m": [
      "34A99"
    ],
    "u": "/wiki/order-of-a-differential-equation-definition/"
  },
  {
    "t": "09N7DZ7SDB",
    "n": "Ring homomorphisms from a field are injective",
    "k": "statement",
    "m": [
      "12E99"
    ],
    "u": "/wiki/ring-homomorphisms-from-a-field-are-injective/"
  },
  {
    "t": "09NDE9V7X1",
    "n": "Finite intersection of open sets is open",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/finite-intersection-of-open-sets-is-open/"
  },
  {
    "t": "09NWETVTNY",
    "n": "Injective function",
    "a": [
      "injection",
      "one-to-one-function"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/injective-function/"
  },
  {
    "t": "09PKJKA6J0",
    "n": "De Morgan's laws",
    "a": [
      "de-morgan-laws"
    ],
    "k": "statement",
    "m": [
      "03B05"
    ],
    "u": "/wiki/de-morgans-laws/"
  },
  {
    "t": "09PR1V6RWR",
    "n": "Mean of the normal distribution",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/mean-of-the-normal-distribution/"
  },
  {
    "t": "09PS3S0EF6",
    "n": "Liouville's formula",
    "a": [
      "abel-jacobi-liouville-identity"
    ],
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/liouvilles-formula/"
  },
  {
    "t": "09PV9JSY6E",
    "n": "Prüfer sequence",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/prufer-sequence-definition/"
  },
  {
    "t": "09QSZVVM26",
    "n": "Bounded set",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/bounded-set/"
  },
  {
    "t": "09R8GC85RB",
    "n": "Removable singularity",
    "a": [
      "removable-singular-point"
    ],
    "k": "concept",
    "m": [
      "30D30"
    ],
    "u": "/wiki/removable-singularity/"
  },
  {
    "t": "09RDZZGJZ9",
    "n": "Cancellation in congruences",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/cancellation-in-congruences/"
  },
  {
    "t": "09RFKMBQ63",
    "n": "The rationals form an ordered field",
    "k": "statement",
    "m": [
      "12J15"
    ],
    "u": "/wiki/the-rationals-form-an-ordered-field/"
  },
  {
    "t": "09RJ859N7A",
    "n": "Partial sum",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/partial-sum/"
  },
  {
    "t": "09RTQRK5PC",
    "n": "Student's t-distribution",
    "a": [
      "t-distribution",
      "students-t-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05",
      "62E15"
    ],
    "u": "/wiki/students-t-distribution/"
  },
  {
    "t": "09RTYYHXKA",
    "n": "Smooth non-analytic function",
    "k": "counterexample",
    "m": [
      "26E10"
    ],
    "u": "/wiki/smooth-non-analytic-function/"
  },
  {
    "t": "09S3PFBEPM",
    "n": "Integral domain",
    "k": "definition",
    "m": [
      "13G05"
    ],
    "u": "/wiki/integral-domain-definition/"
  },
  {
    "t": "09S5SN35DJ",
    "n": "Least common multiple",
    "a": [
      "lcm",
      "lowest-common-multiple"
    ],
    "k": "definition",
    "m": [
      "11A05"
    ],
    "u": "/wiki/least-common-multiple-definition/"
  },
  {
    "t": "09S8DV34Y0",
    "n": "Subbasis",
    "a": [
      "subbase",
      "prebase"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/subbasis/"
  },
  {
    "t": "09T8ZHST1V",
    "n": "Independent sigma-algebras",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independent-sigma-algebras-definition/"
  },
  {
    "t": "09V3NASXND",
    "n": "Equivalent metrics",
    "a": [
      "equivalence-of-metrics"
    ],
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/equivalent-metrics/"
  },
  {
    "t": "09V6DDACXR",
    "n": "Scalar multiplication of matrices",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/scalar-multiplication-of-matrices/"
  },
  {
    "t": "09VDS2W1E8",
    "n": "Module over a ring",
    "k": "definition",
    "m": [
      "16D10",
      "13C05"
    ],
    "u": "/wiki/module-over-a-ring-definition/"
  },
  {
    "t": "09VMDSRXWJ",
    "n": "Singular value",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/singular-value/"
  },
  {
    "t": "09VYHEF2VT",
    "n": "Orthonormal family",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthonormal-family-definition/"
  },
  {
    "t": "09VZBHB33V",
    "n": "Every walk contains a path",
    "k": "statement",
    "m": [
      "05C38"
    ],
    "u": "/wiki/every-walk-contains-a-path/"
  },
  {
    "t": "09WRNGPTMV",
    "n": "Local minimum",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/local-minimum/"
  },
  {
    "t": "09XNAPTJQ7",
    "n": "Affine space",
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-space/"
  },
  {
    "t": "09YB3WQG38",
    "n": "Permuting rows multiplies the determinant by the sign",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/permuting-rows-multiplies-the-determinant-by-the-sign/"
  },
  {
    "t": "09YBMJTNBM",
    "n": "Divisibility by 11",
    "k": "statement",
    "m": [
      "11A63"
    ],
    "u": "/wiki/divisibility-by-11/"
  },
  {
    "t": "09YMV8H4X5",
    "n": "Intersection of closed sets is closed",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/intersection-of-closed-sets-is-closed/"
  },
  {
    "t": "09ZJ6CAK7S",
    "n": "The number of Sylow subgroups is the index of the normaliser",
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/the-number-of-sylow-subgroups-is-the-index-of-the-normaliser/"
  },
  {
    "t": "09ZKE5XQ74",
    "n": "Product of compact sets is compact",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/product-of-compact-sets-is-compact/"
  },
  {
    "t": "09ZWYRQ41J",
    "n": "Linearisation at an equilibrium",
    "a": [
      "linearization"
    ],
    "k": "concept",
    "m": [
      "34D20",
      "34C05"
    ],
    "u": "/wiki/linearisation-at-an-equilibrium/"
  },
  {
    "t": "09ZXGX55DM",
    "n": "Higher partial derivatives",
    "a": [
      "second-partial-derivative",
      "mixed-partial-derivative",
      "higher-order-partial-derivative"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/higher-partial-derivatives/"
  },
  {
    "t": "0A1QQN333A",
    "n": "Determinant of a matrix exponential",
    "k": "statement",
    "m": [
      "15A16",
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-matrix-exponential/"
  },
  {
    "t": "0A1YXSKB48",
    "n": "Isolated point",
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/isolated-point/"
  },
  {
    "t": "0A26X79RTB",
    "n": "Open sets of a metric space",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/open-sets-of-a-metric-space/"
  },
  {
    "t": "0A2HNZC44K",
    "n": "Convergence in mean",
    "a": [
      "convergence-in-lp",
      "lp-convergence",
      "convergence-in-r-th-mean"
    ],
    "k": "concept",
    "m": [
      "60F25"
    ],
    "u": "/wiki/convergence-in-mean/"
  },
  {
    "t": "0A3CK6DVVB",
    "n": "Uniform continuity on a set",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/uniform-continuity-on-a-set-definition/"
  },
  {
    "t": "0A3GWZ86AY",
    "n": "The reals are Archimedean",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/the-reals-are-archimedean/"
  },
  {
    "t": "0A3HJX3KTF",
    "n": "Pseudometric space",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/pseudometric-space/"
  },
  {
    "t": "0A58THH5XV",
    "n": "Boolean function",
    "k": "definition",
    "m": [
      "06E30",
      "94C11"
    ],
    "u": "/wiki/boolean-function-definition/"
  },
  {
    "t": "0A61B60B5R",
    "n": "Differentiable function",
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/differentiable-function-definition/"
  },
  {
    "t": "0A6PGTTP2A",
    "n": "Linear equation with constant coefficients",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-equation-with-constant-coefficients-definition/"
  },
  {
    "t": "0A6PMR20N4",
    "n": "Derivative gives the directional derivatives",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-gives-the-directional-derivatives/"
  },
  {
    "t": "0A6QZ367GX",
    "n": "System of linear differential equations",
    "a": [
      "linear-system-of-odes"
    ],
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/system-of-linear-differential-equations-definition/"
  },
  {
    "t": "0A6YRNZB2R",
    "n": "Metric topology",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metric-topology-definition/"
  },
  {
    "t": "0A74SX55QP",
    "n": "Archimedean property",
    "k": "statement",
    "m": [
      "12J15"
    ],
    "u": "/wiki/archimedean-property/"
  },
  {
    "t": "0A7KGAYHGV",
    "n": "Baire category theorem",
    "k": "statement",
    "m": [
      "54E52"
    ],
    "u": "/wiki/baire-category-theorem/"
  },
  {
    "t": "0A7KJ68XHT",
    "n": "Tower law",
    "a": [
      "multiplicativity-formula-for-degrees"
    ],
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/tower-law/"
  },
  {
    "t": "0A7KV2WB7A",
    "n": "Monotone function",
    "a": [
      "order-preserving-function",
      "monotonic-function",
      "isotone"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/monotone-function/"
  },
  {
    "t": "0A7YDKRNR6",
    "n": "Complex sine and cosine",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-sine-and-cosine-definition/"
  },
  {
    "t": "0A8JNBGT2Z",
    "n": "Bounded sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/bounded-sequence/"
  },
  {
    "t": "0A8JXHYTJC",
    "n": "x^2 is not uniformly continuous on the real line",
    "k": "counterexample",
    "m": [
      "26A15"
    ],
    "u": "/wiki/x-2-is-not-uniformly-continuous-on-the-real-line/"
  },
  {
    "t": "0A8TJ0VHC7",
    "n": "Chain rule for a composition with a curve",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/chain-rule-for-a-composition-with-a-curve/"
  },
  {
    "t": "0A9E6X0S3E",
    "n": "Complete ordered field",
    "k": "concept",
    "m": [
      "12J15"
    ],
    "u": "/wiki/complete-ordered-field/"
  },
  {
    "t": "0A9EB0KQBC",
    "n": "Chi-squared distribution",
    "a": [
      "chi-square-distribution",
      "chi-squared"
    ],
    "k": "concept",
    "m": [
      "60E05",
      "62E15"
    ],
    "u": "/wiki/chi-squared-distribution/"
  },
  {
    "t": "0A9V6RKQG6",
    "n": "Schröder–Bernstein theorem",
    "a": [
      "cantor-bernstein-theorem",
      "cantor-schroeder-bernstein-theorem"
    ],
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/schroder-bernstein-theorem/"
  },
  {
    "t": "0AA97XA70K",
    "n": "Periodic orbit",
    "k": "concept",
    "m": [
      "37C27"
    ],
    "u": "/wiki/periodic-orbit/"
  },
  {
    "t": "0AAHE7GEW6",
    "n": "Kernel of a ring homomorphism",
    "k": "definition",
    "m": [
      "16B99"
    ],
    "u": "/wiki/kernel-of-a-ring-homomorphism-definition/"
  },
  {
    "t": "0AANKKNHS4",
    "n": "Least element",
    "a": [
      "minimum",
      "least-element"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/least-element/"
  },
  {
    "t": "0AAQ73WRFB",
    "n": "Limit cycle",
    "k": "concept",
    "m": [
      "34C07"
    ],
    "u": "/wiki/limit-cycle/"
  },
  {
    "t": "0AAXWGT5TD",
    "n": "Almost sure convergence",
    "a": [
      "convergence-almost-surely",
      "convergence-with-probability-one",
      "strong-convergence-of-random-variables"
    ],
    "k": "concept",
    "m": [
      "60F15"
    ],
    "u": "/wiki/almost-sure-convergence/"
  },
  {
    "t": "0ABK9V9Y64",
    "n": "Gradient",
    "a": [
      "gradient-vector",
      "grad"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/gradient/"
  },
  {
    "t": "0ABP2F2ZP7",
    "n": "Finite-dimensional normed spaces are complete",
    "k": "statement",
    "m": [
      "46B99"
    ],
    "u": "/wiki/finite-dimensional-normed-spaces-are-complete/"
  },
  {
    "t": "0ACRGYNHSR",
    "n": "Dirac measure",
    "a": [
      "point-mass",
      "unit-mass",
      "dirac-distribution"
    ],
    "k": "concept",
    "m": [
      "28A12"
    ],
    "u": "/wiki/dirac-measure/"
  },
  {
    "t": "0ACX5QT8TE",
    "n": "Invariant subspace",
    "k": "concept",
    "m": [
      "15A04",
      "47A15"
    ],
    "u": "/wiki/invariant-subspace/"
  },
  {
    "t": "0AD0BZ49DW",
    "n": "Metrizable spaces are normal",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metrizable-spaces-are-normal/"
  },
  {
    "t": "0AD4VS02H3",
    "n": "Formal derivative",
    "k": "definition",
    "m": [
      "13N15"
    ],
    "u": "/wiki/formal-derivative-definition/"
  },
  {
    "t": "0ADTQBXRMC",
    "n": "Jacobi symbol",
    "k": "concept",
    "m": [
      "11A15"
    ],
    "u": "/wiki/jacobi-symbol/"
  },
  {
    "t": "0AEAHMFSCA",
    "n": "Strictly convex function",
    "k": "concept",
    "m": [
      "26A51"
    ],
    "u": "/wiki/strictly-convex-function/"
  },
  {
    "t": "0AEKDFCYFA",
    "n": "Prime factorization",
    "a": [
      "prime-decomposition",
      "integer-factorization"
    ],
    "k": "definition",
    "m": [
      "11A51"
    ],
    "u": "/wiki/prime-factorization-definition/"
  },
  {
    "t": "0AF3DANJ76",
    "n": "Pell's equation",
    "a": [
      "pell-fermat-equation"
    ],
    "k": "definition",
    "m": [
      "11D09"
    ],
    "u": "/wiki/pells-equation-definition/"
  },
  {
    "t": "0AF7X08PCR",
    "n": "Convergent series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-series/"
  },
  {
    "t": "0AFNNTRTJE",
    "n": "Collinear points",
    "a": [
      "collinearity"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/collinear-points/"
  },
  {
    "t": "0AFWQZ1PKF",
    "n": "sin(1/x) has no limit at 0",
    "k": "counterexample",
    "m": [
      "26A15"
    ],
    "u": "/wiki/sin-1-x-has-no-limit-at-0/"
  },
  {
    "t": "0AH9Q6YNMT",
    "n": "If G modulo its centre is cyclic then G is abelian",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/if-g-modulo-its-centre-is-cyclic-then-g-is-abelian/"
  },
  {
    "t": "0AHKWBQSWV",
    "n": "Vertex cover",
    "k": "concept",
    "m": [
      "05C70",
      "05C69"
    ],
    "u": "/wiki/vertex-cover/"
  },
  {
    "t": "0AJ035ZTZE",
    "n": "Generalised eigenspace",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/generalised-eigenspace/"
  },
  {
    "t": "0AJ0KP1B31",
    "n": "Multiplication by a matrix as a linear map",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/multiplication-by-a-matrix-as-a-linear-map-definition/"
  },
  {
    "t": "0AJ0YVK743",
    "n": "Annulus",
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/annulus-definition/"
  },
  {
    "t": "0AJ646N339",
    "n": "Normal space",
    "k": "definition",
    "m": [
      "54D15"
    ],
    "u": "/wiki/normal-space-definition/"
  },
  {
    "t": "0AJN7WHBJZ",
    "n": "Independent and identically distributed random variables",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independent-and-identically-distributed-random-variables-definition/"
  },
  {
    "t": "0AJXYH4DDQ",
    "n": "Step function",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/step-function/"
  },
  {
    "t": "0AK9TGSNXY",
    "n": "Successor function",
    "k": "concept",
    "m": [
      "03F30"
    ],
    "u": "/wiki/successor-function/"
  },
  {
    "t": "0AKNPYQ04R",
    "n": "Classical definition of probability",
    "a": [
      "uniform-probability-on-a-finite-set"
    ],
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/classical-definition-of-probability-definition/"
  },
  {
    "t": "0AKRKVHW94",
    "n": "Stokes' theorem",
    "a": [
      "kelvin-stokes-theorem"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/stokes-theorem/"
  },
  {
    "t": "0AM050KCAW",
    "n": "Gram matrices are positive semidefinite",
    "k": "statement",
    "m": [
      "15B57",
      "15A63"
    ],
    "u": "/wiki/gram-matrices-are-positive-semidefinite/"
  },
  {
    "t": "0AN28XQ45Z",
    "n": "Cauchy product of absolutely convergent series",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-product-of-absolutely-convergent-series/"
  },
  {
    "t": "0AP750DHVP",
    "n": "Circle integral",
    "a": [
      "integral-over-a-circle"
    ],
    "k": "concept",
    "m": [
      "30E20"
    ],
    "u": "/wiki/circle-integral/"
  },
  {
    "t": "0AP80TT660",
    "n": "Multiplicative function",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/multiplicative-function-definition/"
  },
  {
    "t": "0APCFW7639",
    "n": "Nullity",
    "k": "concept",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/nullity/"
  },
  {
    "t": "0APN65D6Y6",
    "n": "Second isomorphism theorem for vector spaces",
    "k": "statement",
    "m": [
      "15A03",
      "16D10"
    ],
    "u": "/wiki/second-isomorphism-theorem-for-vector-spaces/"
  },
  {
    "t": "0AQBSVMX9P",
    "n": "Edge set",
    "k": "concept",
    "m": [
      "05C99"
    ],
    "u": "/wiki/edge-set/"
  },
  {
    "t": "0AQNX7G443",
    "n": "The symmetric group is generated by transpositions",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/the-symmetric-group-is-generated-by-transpositions/"
  },
  {
    "t": "0AQZV0905N",
    "n": "Abelianisation",
    "a": [
      "abelianization"
    ],
    "k": "concept",
    "m": [
      "20F12"
    ],
    "u": "/wiki/abelianisation/"
  },
  {
    "t": "0AR06W1E1B",
    "n": "Differentiation under the integral sign",
    "a": [
      "leibniz-integral-rule"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/differentiation-under-the-integral-sign/"
  },
  {
    "t": "0AR4B3K5QD",
    "n": "Pairwise independent events that are not mutually independent",
    "k": "counterexample",
    "m": [
      "60A05"
    ],
    "u": "/wiki/pairwise-independent-events-that-are-not-mutually-independent/"
  },
  {
    "t": "0AR68JTMDT",
    "n": "Unitary matrix",
    "k": "concept",
    "m": [
      "15B57",
      "15A21"
    ],
    "u": "/wiki/unitary-matrix/"
  },
  {
    "t": "0AREFQ9Z65",
    "n": "Continuous uniform distribution",
    "a": [
      "rectangular-distribution",
      "uniform-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/continuous-uniform-distribution/"
  },
  {
    "t": "0ARPRJQWZ2",
    "n": "Simplicity of the alternating group",
    "k": "statement",
    "m": [
      "20B30",
      "20D06"
    ],
    "u": "/wiki/simplicity-of-the-alternating-group/"
  },
  {
    "t": "0AS1FZT6BM",
    "n": "Power sum symmetric polynomials",
    "k": "definition",
    "m": [
      "05E05"
    ],
    "u": "/wiki/power-sum-symmetric-polynomials/"
  },
  {
    "t": "0AS800VAYX",
    "n": "Consistent estimator",
    "a": [
      "consistency-of-an-estimator"
    ],
    "k": "concept",
    "m": [
      "62F12"
    ],
    "u": "/wiki/consistent-estimator/"
  },
  {
    "t": "0ASC73QEQT",
    "n": "The Möbius function is the inverse of the constant function 1",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/the-mobius-function-is-the-inverse-of-the-constant-function-1/"
  },
  {
    "t": "0ASDFEQS6P",
    "n": "Block matrix",
    "a": [
      "partitioned-matrix"
    ],
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/block-matrix/"
  },
  {
    "t": "0ASGSTXSBW",
    "n": "Commutator subgroup",
    "a": [
      "derived-subgroup"
    ],
    "k": "concept",
    "m": [
      "20F12"
    ],
    "u": "/wiki/commutator-subgroup/"
  },
  {
    "t": "0ASHNYF7AG",
    "n": "Annihilator of a subspace",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/annihilator-of-a-subspace/"
  },
  {
    "t": "0ASJVEFA9J",
    "n": "Mathematical induction",
    "a": [
      "principle-of-mathematical-induction",
      "proof-by-induction"
    ],
    "k": "concept",
    "m": [
      "03F30"
    ],
    "u": "/wiki/mathematical-induction/"
  },
  {
    "t": "0ASM4EPMB2",
    "n": "Ceiling function",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/ceiling-function-definition/"
  },
  {
    "t": "0AT1ZSNM25",
    "n": "Normaliser",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/normaliser-definition/"
  },
  {
    "t": "0ATF6Q0633",
    "n": "Periodic function",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/periodic-function/"
  },
  {
    "t": "0ATFVE08MW",
    "n": "Back substitution",
    "k": "concept",
    "m": [
      "15A06",
      "65F05"
    ],
    "u": "/wiki/back-substitution/"
  },
  {
    "t": "0ATVXC3NCC",
    "n": "Boundedness theorem",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/boundedness-theorem/"
  },
  {
    "t": "0AVEYZ2T0Q",
    "n": "The nth root of n tends to 1",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/the-nth-root-of-n-tends-to-1/"
  },
  {
    "t": "0AVXBEC05W",
    "n": "R/P is an integral domain iff P is prime",
    "k": "statement",
    "m": [
      "13A15"
    ],
    "u": "/wiki/r-p-is-an-integral-domain-iff-p-is-prime/"
  },
  {
    "t": "0AVY8HKBGD",
    "n": "Totient of a prime power",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/totient-of-a-prime-power/"
  },
  {
    "t": "0AW1E6YTJY",
    "n": "Lipschitz condition",
    "a": [
      "lipschitz-continuity"
    ],
    "k": "concept",
    "m": [
      "26A16"
    ],
    "u": "/wiki/lipschitz-condition/"
  },
  {
    "t": "0AWMPX35CW",
    "n": "K[x]/(f) is a field iff f is irreducible",
    "k": "statement",
    "m": [
      "12E05"
    ],
    "u": "/wiki/k-x-f-is-a-field-iff-f-is-irreducible/"
  },
  {
    "t": "0AXP2Z5N9H",
    "n": "Marginal distribution",
    "k": "definition",
    "m": [
      "62H05"
    ],
    "u": "/wiki/marginal-distribution-definition/"
  },
  {
    "t": "0AXWET80YW",
    "n": "Completeness axiom",
    "a": [
      "least-upper-bound-property",
      "supremum-property",
      "dedekind-completeness"
    ],
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/completeness-axiom/"
  },
  {
    "t": "0AXZNE5XNH",
    "n": "Symmetric bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/symmetric-bilinear-form/"
  },
  {
    "t": "0AYEPBQMAW",
    "n": "Eigenspace",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenspace-definition/"
  },
  {
    "t": "0AYMP41THN",
    "n": "Stabiliser",
    "a": [
      "stabilizer",
      "isotropy-group"
    ],
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/stabiliser/"
  },
  {
    "t": "0AYV6VGKF5",
    "n": "Product metric",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/product-metric/"
  },
  {
    "t": "0AZ3R52593",
    "n": "Convergent sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-sequence-definition/"
  },
  {
    "t": "0AZ5ARP287",
    "n": "Dual map",
    "a": [
      "transpose-of-a-linear-map"
    ],
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-map/"
  },
  {
    "t": "0AZG100DKH",
    "n": "Action on left cosets",
    "k": "example",
    "m": [
      "20B05"
    ],
    "u": "/wiki/action-on-left-cosets/"
  },
  {
    "t": "0B0KR7FH2Q",
    "n": "Equinumerous sets",
    "a": [
      "equipotent",
      "equinumerosity",
      "same-cardinality"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/equinumerous-sets/"
  },
  {
    "t": "0B0WE1GKTK",
    "n": "Faithful action",
    "k": "definition",
    "m": [
      "20B05"
    ],
    "u": "/wiki/faithful-action-definition/"
  },
  {
    "t": "0B1261B5ED",
    "n": "Ring",
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/ring/"
  },
  {
    "t": "0B1FSS1VZW",
    "n": "Complement",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/complement-definition/"
  },
  {
    "t": "0B1G4E21G7",
    "n": "Moment-generating function of the normal distribution",
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/moment-generating-function-of-the-normal-distribution/"
  },
  {
    "t": "0B1K9PVWE9",
    "n": "Cauchy product",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-product-definition/"
  },
  {
    "t": "0B22P010D6",
    "n": "Curl-free vector field on a convex set is conservative",
    "a": [
      "poincare-lemma-for-vector-fields"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/curl-free-vector-field-on-a-convex-set-is-conservative/"
  },
  {
    "t": "0B2305GNAZ",
    "n": "Open balls are open",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/open-balls-are-open/"
  },
  {
    "t": "0B268GVX95",
    "n": "Gaussian integer",
    "k": "definition",
    "m": [
      "11R11"
    ],
    "u": "/wiki/gaussian-integer-definition/"
  },
  {
    "t": "0B2RZ0778N",
    "n": "Level set",
    "a": [
      "level-curve",
      "level-surface",
      "fibre-of-a-function"
    ],
    "k": "concept",
    "m": [
      "26B99"
    ],
    "u": "/wiki/level-set/"
  },
  {
    "t": "0B346DDAM5",
    "n": "Möbius transformation",
    "k": "definition",
    "m": [
      "30C35"
    ],
    "u": "/wiki/mobius-transformation-definition/"
  },
  {
    "t": "0B3D4C8YF2",
    "n": "Conjunctive normal form",
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/conjunctive-normal-form/"
  },
  {
    "t": "0B3Q3XDM5X",
    "n": "Quantile function",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/quantile-function-definition/"
  },
  {
    "t": "0B5BA4FRWS",
    "n": "Independent sigma-algebras",
    "a": [
      "independence-of-sigma-algebras"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independent-sigma-algebras/"
  },
  {
    "t": "0B5H2V4JW8",
    "n": "Set bounded above",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/set-bounded-above-definition/"
  },
  {
    "t": "0B5H4208Z9",
    "n": "Eigenvector",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvector-definition/"
  },
  {
    "t": "0B5WCC02AN",
    "n": "Edge colouring",
    "k": "concept",
    "m": [
      "05C15"
    ],
    "u": "/wiki/edge-colouring/"
  },
  {
    "t": "0B5Z1EC66J",
    "n": "R[x] is an integral domain iff R is",
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/r-x-is-an-integral-domain-iff-r-is/"
  },
  {
    "t": "0B621RBVS9",
    "n": "Chromatic polynomial",
    "k": "concept",
    "m": [
      "05C31",
      "05C15"
    ],
    "u": "/wiki/chromatic-polynomial/"
  },
  {
    "t": "0B64Q7XNE3",
    "n": "Legendre's three-square theorem",
    "k": "statement",
    "m": [
      "11E25"
    ],
    "u": "/wiki/legendres-three-square-theorem/"
  },
  {
    "t": "0B68KNPGCG",
    "n": "Lexicographic order",
    "a": [
      "dictionary-order",
      "lexicographical-order"
    ],
    "k": "concept",
    "m": [
      "06A05"
    ],
    "u": "/wiki/lexicographic-order/"
  },
  {
    "t": "0B6QC0C0G1",
    "n": "Ring isomorphism",
    "k": "definition",
    "m": [
      "16B99"
    ],
    "u": "/wiki/ring-isomorphism-definition/"
  },
  {
    "t": "0B6QWX3086",
    "n": "Strict differentiability",
    "a": [
      "strictly-differentiable"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/strict-differentiability/"
  },
  {
    "t": "0B77KZCQ51",
    "n": "Markov property",
    "k": "concept",
    "m": [
      "60J05",
      "60J10"
    ],
    "u": "/wiki/markov-property/"
  },
  {
    "t": "0B80PAQD3C",
    "n": "Gamma distribution",
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/gamma-distribution/"
  },
  {
    "t": "0B85Q41RP6",
    "n": "Cyclic group",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cyclic-group-definition/"
  },
  {
    "t": "0B85S2V2DR",
    "n": "Order of a group",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-a-group/"
  },
  {
    "t": "0B8837S5T3",
    "n": "Essential singularity",
    "a": [
      "essential-singular-point"
    ],
    "k": "concept",
    "m": [
      "30D30"
    ],
    "u": "/wiki/essential-singularity/"
  },
  {
    "t": "0B88PQTJ66",
    "n": "Universal quantifier",
    "k": "definition",
    "m": [
      "03B10"
    ],
    "u": "/wiki/universal-quantifier-definition/"
  },
  {
    "t": "0B89D93YA1",
    "n": "Arcsine",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/arcsine-definition/"
  },
  {
    "t": "0B8BW4YWTF",
    "n": "Lattice of subgroups",
    "a": [
      "subgroup-lattice"
    ],
    "k": "concept",
    "m": [
      "20E15"
    ],
    "u": "/wiki/lattice-of-subgroups/"
  },
  {
    "t": "0B8GPXFSP7",
    "n": "Continuity via closed sets",
    "k": "statement",
    "m": [
      "54C05"
    ],
    "u": "/wiki/continuity-via-closed-sets/"
  },
  {
    "t": "0B8KZRT28M",
    "n": "Orthogonal projection",
    "k": "concept",
    "m": [
      "15A04",
      "46C05"
    ],
    "u": "/wiki/orthogonal-projection/"
  },
  {
    "t": "0B8T10CE7N",
    "n": "Linear isomorphism",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-isomorphism/"
  },
  {
    "t": "0B906ZBTMZ",
    "n": "Cofinite topology",
    "a": [
      "finite-complement-topology"
    ],
    "k": "example",
    "m": [
      "54A05"
    ],
    "u": "/wiki/cofinite-topology/"
  },
  {
    "t": "0B94TKFQJX",
    "n": "Mathematical proof",
    "a": [
      "proof"
    ],
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/mathematical-proof/"
  },
  {
    "t": "0B96KMDDD1",
    "n": "Cauchy condensation test",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-condensation-test/"
  },
  {
    "t": "0B9QNFGTHM",
    "n": "Rotation matrix",
    "k": "example",
    "m": [
      "15B10"
    ],
    "u": "/wiki/rotation-matrix/"
  },
  {
    "t": "0B9ZQFMQNV",
    "n": "Connected subsets of the real line are intervals",
    "k": "statement",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-subsets-of-the-real-line-are-intervals/"
  },
  {
    "t": "0BANA3XYPF",
    "n": "Bridge",
    "k": "concept",
    "m": [
      "05C40"
    ],
    "u": "/wiki/bridge/"
  },
  {
    "t": "0BARQY52N5",
    "n": "Mean value theorem",
    "a": [
      "lagrange-mean-value-theorem"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/mean-value-theorem/"
  },
  {
    "t": "0BB5TPGQ1N",
    "n": "Proof by contrapositive",
    "a": [
      "proof-by-contraposition"
    ],
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/proof-by-contrapositive/"
  },
  {
    "t": "0BBTH3YSZA",
    "n": "Finite set",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/finite-set-definition/"
  },
  {
    "t": "0BC3Q6K92H",
    "n": "Matrix determinant lemma",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/matrix-determinant-lemma/"
  },
  {
    "t": "0BC7KX51Z8",
    "n": "Power set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/power-set-definition/"
  },
  {
    "t": "0BCHJ30REG",
    "n": "Cycle type",
    "a": [
      "cycle-structure"
    ],
    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/cycle-type-definition/"
  },
  {
    "t": "0BCMGDHZGR",
    "n": "Pivot",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/pivot-definition/"
  },
  {
    "t": "0BDJBH8B4Z",
    "n": "Order of the Galois group of a Galois extension equals its degree",
    "k": "statement",
    "m": [
      "12F10"
    ],
    "u": "/wiki/order-of-the-galois-group-of-a-galois-extension-equals-its-degree/"
  },
  {
    "t": "0BDTTM24DP",
    "n": "Banach space",
    "k": "definition",
    "m": [
      "46B99"
    ],
    "u": "/wiki/banach-space-definition/"
  },
  {
    "t": "0BDX4MBKT4",
    "n": "Monic polynomial",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/monic-polynomial-definition/"
  },
  {
    "t": "0BE3QDH73A",
    "n": "Smooth function",
    "k": "definition",
    "m": [
      "26E10"
    ],
    "u": "/wiki/smooth-function-definition/"
  },
  {
    "t": "0BEZX8F2XW",
    "n": "Solutions for complex conjugate roots",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/solutions-for-complex-conjugate-roots/"
  },
  {
    "t": "0BF2DE2SYK",
    "n": "Tensor product of vector spaces",
    "k": "concept",
    "m": [
      "15A69"
    ],
    "u": "/wiki/tensor-product-of-vector-spaces/"
  },
  {
    "t": "0BFD3A6CRH",
    "n": "Global existence for globally Lipschitz vector fields",
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/global-existence-for-globally-lipschitz-vector-fields/"
  },
  {
    "t": "0BFDHF2H7N",
    "n": "Weak law of large numbers",
    "a": [
      "khinchin-law",
      "bernoulli-law-of-large-numbers"
    ],
    "k": "statement",
    "m": [
      "60F05"
    ],
    "u": "/wiki/weak-law-of-large-numbers/"
  },
  {
    "t": "0BFMR2FQ8B",
    "n": "Number of k-element subsets",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/number-of-k-element-subsets/"
  },
  {
    "t": "0BFN21TF5F",
    "n": "Path independence of line integrals",
    "a": [
      "conservative-iff-path-independent"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/path-independence-of-line-integrals/"
  },
  {
    "t": "0BH9JH7HBY",
    "n": "Infinite limit",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/infinite-limit/"
  },
  {
    "t": "0BJ6H85DRQ",
    "n": "Limit along different paths",
    "a": [
      "two-path-test"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/limit-along-different-paths/"
  },
  {
    "t": "0BJBYCGMWE",
    "n": "A linear map is injective iff its kernel is trivial",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/a-linear-map-is-injective-iff-its-kernel-is-trivial/"
  },
  {
    "t": "0BJDQ2HBH1",
    "n": "Tangent plane and normal vector of a surface",
    "k": "definition",
    "m": [
      "53A05"
    ],
    "u": "/wiki/tangent-plane-and-normal-vector-of-a-surface-definition/"
  },
  {
    "t": "0BJKVF90Z6",
    "n": "Spanning set",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/spanning-set-definition/"
  },
  {
    "t": "0BJR9QR08E",
    "n": "Subset",
    "a": [
      "inclusion",
      "superset",
      "proper-subset"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/subset/"
  },
  {
    "t": "0BJSWZJG18",
    "n": "Mertens' theorem on Cauchy products",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/mertens-theorem-on-cauchy-products/"
  },
  {
    "t": "0BJV24C4SY",
    "n": "Complex conjugate",
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/complex-conjugate-definition/"
  },
  {
    "t": "0BJVDCF38Y",
    "n": "Square root of a positive semidefinite matrix",
    "k": "concept",
    "m": [
      "15A16",
      "15B57"
    ],
    "u": "/wiki/square-root-of-a-positive-semidefinite-matrix/"
  },
  {
    "t": "0BK6JBK58W",
    "n": "Continued fraction",
    "a": [
      "generalized-continued-fraction"
    ],
    "k": "definition",
    "m": [
      "11A55"
    ],
    "u": "/wiki/continued-fraction-definition/"
  },
  {
    "t": "0BKDAGMGX9",
    "n": "Hölder's inequality for sums",
    "k": "statement",
    "m": [
      "26D15"
    ],
    "u": "/wiki/holders-inequality-for-sums/"
  },
  {
    "t": "0BKJT6WG96",
    "n": "Number of divisors",
    "a": [
      "divisor-counting-function",
      "tau-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/number-of-divisors-definition/"
  },
  {
    "t": "0BMVBHTWV2",
    "n": "Coordinate vector",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/coordinate-vector-definition/"
  },
  {
    "t": "0BMXWXDVJZ",
    "n": "Fermat's little theorem in the form a^p = a",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/fermats-little-theorem-in-the-form-a-p-a/"
  },
  {
    "t": "0BMY28TBSF",
    "n": "Uniformly Cauchy sequence of functions",
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/uniformly-cauchy-sequence-of-functions/"
  },
  {
    "t": "0BMYPJBJH4",
    "n": "Line",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/line-definition/"
  },
  {
    "t": "0BN2A6EBYA",
    "n": "Trees are bipartite",
    "k": "statement",
    "m": [
      "05C05"
    ],
    "u": "/wiki/trees-are-bipartite/"
  },
  {
    "t": "0BNEXSKNRV",
    "n": "Polynomial of an endomorphism",
    "k": "definition",
    "m": [
      "15A04",
      "15A54"
    ],
    "u": "/wiki/polynomial-of-an-endomorphism-definition/"
  },
  {
    "t": "0BNPC9850Y",
    "n": "Trivial group",
    "a": [
      "zero-group"
    ],
    "k": "example",
    "m": [
      "20A05"
    ],
    "u": "/wiki/trivial-group/"
  },
  {
    "t": "0BPYRMHJ48",
    "n": "Universal set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/universal-set-definition/"
  },
  {
    "t": "0BQAA2BK3Q",
    "n": "Eigenvalue",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvalue/"
  },
  {
    "t": "0BQMWCNS8S",
    "n": "Permutation",
    "k": "definition",
    "m": [
      "05A05"
    ],
    "u": "/wiki/permutation-definition/"
  },
  {
    "t": "0BR3FY5Q8M",
    "n": "Quotient space",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/quotient-space/"
  },
  {
    "t": "0BRBYRK6PA",
    "n": "Side-side-side congruence",
    "a": [
      "sss-congruence"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/side-side-side-congruence/"
  },
  {
    "t": "0BRG85WXYC",
    "n": "Goursat's theorem",
    "a": [
      "goursat-lemma"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/goursats-theorem/"
  },
  {
    "t": "0BRHKKP333",
    "n": "Inverse element",
    "k": "definition",
    "m": [
      "08A02"
    ],
    "u": "/wiki/inverse-element-definition/"
  },
  {
    "t": "0BRXFNQ5JV",
    "n": "Polar form",
    "a": [
      "polar-form-of-a-complex-number"
    ],
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/polar-form/"
  },
  {
    "t": "0BS0NJPKVE",
    "n": "Quotient rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/quotient-rule/"
  },
  {
    "t": "0BS3RMX8HM",
    "n": "Multiplication rule",
    "a": [
      "chain-rule-of-probability",
      "general-product-rule"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/multiplication-rule/"
  },
  {
    "t": "0BSCJA5G53",
    "n": "Additive group of integers",
    "a": [
      "integers-under-addition"
    ],
    "k": "example",
    "m": [
      "20K99"
    ],
    "u": "/wiki/additive-group-of-integers/"
  },
  {
    "t": "0BSJ7RQ9BW",
    "n": "Set",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/set/"
  },
  {
    "t": "0BSJSX7ME2",
    "n": "Dense set",
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/dense-set/"
  },
  {
    "t": "0BSJYCG7NM",
    "n": "Z[√-5] is not a UFD",
    "k": "counterexample",
    "m": [
      "11R11"
    ],
    "u": "/wiki/z-5-is-not-a-ufd/"
  },
  {
    "t": "0BSQDZWF34",
    "n": "Riemann's theorem on removable singularities",
    "a": [
      "riemann-removable-singularity-theorem"
    ],
    "k": "statement",
    "m": [
      "30D30"
    ],
    "u": "/wiki/riemanns-theorem-on-removable-singularities/"
  },
  {
    "t": "0BSW4T7THS",
    "n": "Polar coordinates",
    "a": [
      "polar-coordinate-system"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/polar-coordinates/"
  },
  {
    "t": "0BSXRER81B",
    "n": "Squaring the circle",
    "a": [
      "quadrature-of-the-circle"
    ],
    "k": "problem",
    "m": [
      "51M15"
    ],
    "u": "/wiki/squaring-the-circle/"
  },
  {
    "t": "0BT9BYWVRY",
    "n": "Minor",
    "k": "concept",
    "m": [
      "15A15"
    ],
    "u": "/wiki/minor/"
  },
  {
    "t": "0BTMQ04556",
    "n": "Supremum",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/supremum-definition/"
  },
  {
    "t": "0BVHZXWKCD",
    "n": "Borel sigma-algebra",
    "k": "definition",
    "m": [
      "28A05"
    ],
    "u": "/wiki/borel-sigma-algebra-definition/"
  },
  {
    "t": "0BVT6VSB3S",
    "n": "Trajectory",
    "k": "definition",
    "m": [
      "37C10",
      "34C05"
    ],
    "u": "/wiki/trajectory-definition/"
  },
  {
    "t": "0BVTDM872V",
    "n": "Pythagorean theorem in an inner product space",
    "k": "statement",
    "m": [
      "46C05"
    ],
    "u": "/wiki/pythagorean-theorem-in-an-inner-product-space/"
  },
  {
    "t": "0BVXADM10P",
    "n": "Matrix addition",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-addition-definition/"
  },
  {
    "t": "0BW9N5CDSB",
    "n": "Antiderivative",
    "a": [
      "primitive-function"
    ],
    "k": "definition",
    "m": [
      "26A36"
    ],
    "u": "/wiki/antiderivative-definition/"
  },
  {
    "t": "0BWDJGQYST",
    "n": "Characteristic polynomial of a linear recurrence",
    "k": "definition",
    "m": [
      "39A06"
    ],
    "u": "/wiki/characteristic-polynomial-of-a-linear-recurrence-definition/"
  },
  {
    "t": "0BWGTN92FG",
    "n": "Bias of an estimator",
    "a": [
      "bias",
      "unbiased-estimator",
      "estimator-bias"
    ],
    "k": "concept",
    "m": [
      "62F10"
    ],
    "u": "/wiki/bias-of-an-estimator/"
  },
  {
    "t": "0BWGW68B66",
    "n": "Uniform limits commute with integration",
    "k": "statement",
    "m": [
      "40A30",
      "26A42"
    ],
    "u": "/wiki/uniform-limits-commute-with-integration/"
  },
  {
    "t": "0BWJTRE3X3",
    "n": "Box topology",
    "k": "concept",
    "m": [
      "54B10"
    ],
    "u": "/wiki/box-topology/"
  },
  {
    "t": "0BWXV7GADW",
    "n": "Power series converge uniformly on smaller discs inside the radius of convergence",
    "k": "statement",
    "m": [
      "30B10",
      "40A30"
    ],
    "u": "/wiki/power-series-converge-uniformly-on-smaller-discs-inside-the-radius-of-convergence/"
  },
  {
    "t": "0BXA4Q0JHW",
    "n": "Ring of integers",
    "k": "statement",
    "m": [
      "13A99"
    ],
    "u": "/wiki/ring-of-integers/"
  },
  {
    "t": "0BXBADR94C",
    "n": "Implicit function theorem",
    "a": [
      "implicit-function-theorem"
    ],
    "k": "statement",
    "m": [
      "26B10"
    ],
    "u": "/wiki/implicit-function-theorem/"
  },
  {
    "t": "0BXE0S1XER",
    "n": "Having a gradient",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/having-a-gradient/"
  },
  {
    "t": "0BXEZV83GY",
    "n": "Minimal element",
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/minimal-element/"
  },
  {
    "t": "0BXNDZFQME",
    "n": "Cantor set",
    "a": [
      "cantor-ternary-set"
    ],
    "k": "example",
    "m": [
      "54F65"
    ],
    "u": "/wiki/cantor-set/"
  },
  {
    "t": "0BY52JW6NK",
    "n": "Complete metric space",
    "a": [
      "complete-space"
    ],
    "k": "concept",
    "m": [
      "54E50"
    ],
    "u": "/wiki/complete-metric-space/"
  },
  {
    "t": "0BY5FTHEEE",
    "n": "Slopes of a convex function are increasing",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/slopes-of-a-convex-function-are-increasing/"
  },
  {
    "t": "0BY7GN3449",
    "n": "Generalized pigeonhole principle",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/generalized-pigeonhole-principle/"
  },
  {
    "t": "0BYTQ4X1HC",
    "n": "Least squares",
    "k": "concept",
    "m": [
      "65F20",
      "15A06"
    ],
    "u": "/wiki/least-squares/"
  },
  {
    "t": "0BYWRWFT4F",
    "n": "Antiderivative",
    "k": "concept",
    "m": [
      "26A36"
    ],
    "u": "/wiki/antiderivative/"
  },
  {
    "t": "0BYX1D7C2E",
    "n": "Clique",
    "k": "concept",
    "m": [
      "05C69"
    ],
    "u": "/wiki/clique/"
  },
  {
    "t": "0BYZTFM0DJ",
    "n": "Zero derivative on a connected open set implies constant",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/zero-derivative-on-a-connected-open-set-implies-constant/"
  },
  {
    "t": "0BZ81AJNWF",
    "n": "Characteristic polynomial of a linear map",
    "k": "definition",
    "m": [
      "15A04",
      "15A18"
    ],
    "u": "/wiki/characteristic-polynomial-of-a-linear-map-definition/"
  },
  {
    "t": "0BZQ6ZX584",
    "n": "Addition rule for two events",
    "a": [
      "inclusion-exclusion-for-two-events"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/addition-rule-for-two-events/"
  },
  {
    "t": "0BZVNWJ352",
    "n": "Order of the dihedral group",
    "k": "statement",
    "m": [
      "20B25"
    ],
    "u": "/wiki/order-of-the-dihedral-group/"
  },
  {
    "t": "0C019SDTER",
    "n": "Recurrence for Stirling numbers of the second kind",
    "k": "statement",
    "m": [
      "11B73"
    ],
    "u": "/wiki/recurrence-for-stirling-numbers-of-the-second-kind/"
  },
  {
    "t": "0C08BQ3M05",
    "n": "Laplace expansion along a row",
    "a": [
      "cofactor-expansion"
    ],
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/laplace-expansion-along-a-row/"
  },
  {
    "t": "0C08YMV95H",
    "n": "Random walk",
    "k": "definition",
    "m": [
      "60G50"
    ],
    "u": "/wiki/random-walk-definition/"
  },
  {
    "t": "0C093D1T4M",
    "n": "Simple group",
    "k": "definition",
    "m": [
      "20E32"
    ],
    "u": "/wiki/simple-group-definition/"
  },
  {
    "t": "0C0KPAKK9Y",
    "n": "Separately continuous but not continuous function",
    "k": "counterexample",
    "m": [
      "26B05"
    ],
    "u": "/wiki/separately-continuous-but-not-continuous-function/"
  },
  {
    "t": "0C12P4W4RH",
    "n": "Density of the normal distribution",
    "a": [
      "gaussian-density",
      "gaussian-function"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/density-of-the-normal-distribution/"
  },
  {
    "t": "0C13E623WD",
    "n": "Linear maps on finite-dimensional spaces are continuous",
    "k": "statement",
    "m": [
      "47B01"
    ],
    "u": "/wiki/linear-maps-on-finite-dimensional-spaces-are-continuous/"
  },
  {
    "t": "0C1VYVNV2N",
    "n": "pi",
    "a": [
      "archimedes-constant"
    ],
    "k": "object",
    "m": [
      "11Y60",
      "33B10"
    ],
    "u": "/wiki/pi/"
  },
  {
    "t": "0C1Y04SZ1W",
    "n": "Finite extension",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/finite-extension/"
  },
  {
    "t": "0C21Q694AG",
    "n": "Family of sets",
    "a": [
      "indexed-family-of-sets",
      "collection-of-sets"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/family-of-sets/"
  },
  {
    "t": "0C21RZG5V2",
    "n": "Random variable with a density",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/random-variable-with-a-density-definition/"
  },
  {
    "t": "0C28RT5BG7",
    "n": "Rectifiable curve",
    "k": "definition",
    "m": [
      "26A45"
    ],
    "u": "/wiki/rectifiable-curve-definition/"
  },
  {
    "t": "0C2AKPDCD9",
    "n": "Hamiltonian system",
    "k": "definition",
    "m": [
      "37J06",
      "70H05"
    ],
    "u": "/wiki/hamiltonian-system-definition/"
  },
  {
    "t": "0C2F40MEBC",
    "n": "Determinant is the product of the eigenvalues",
    "k": "statement",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/determinant-is-the-product-of-the-eigenvalues/"
  },
  {
    "t": "0C2TQMW5A1",
    "n": "Dual map",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-map-definition/"
  },
  {
    "t": "0C32J27WQC",
    "n": "Associativity of addition",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/associativity-of-addition/"
  },
  {
    "t": "0C38S0KMJK",
    "n": "Interior",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/interior-definition/"
  },
  {
    "t": "0C3CFHDN6R",
    "n": "Determinant",
    "k": "definition",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-definition/"
  },
  {
    "t": "0C3PN4075R",
    "n": "Euler product formula",
    "k": "statement",
    "m": [
      "11M06"
    ],
    "u": "/wiki/euler-product-formula/"
  },
  {
    "t": "0C3QBCR46M",
    "n": "Monic polynomial",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/monic-polynomial/"
  },
  {
    "t": "0C4JS9RF5M",
    "n": "Integers",
    "a": [
      "integer",
      "set-of-integers"
    ],
    "k": "object",
    "m": [
      "11A99"
    ],
    "u": "/wiki/integers/"
  },
  {
    "t": "0C4NT4GT3X",
    "n": "Eigenvalues of a self-adjoint operator are real",
    "k": "statement",
    "m": [
      "47B15",
      "15A18"
    ],
    "u": "/wiki/eigenvalues-of-a-self-adjoint-operator-are-real/"
  },
  {
    "t": "0C4VWBFY73",
    "n": "Bernstein polynomial",
    "k": "definition",
    "m": [
      "41A10"
    ],
    "u": "/wiki/bernstein-polynomial-definition/"
  },
  {
    "t": "0C4YEQ9H5E",
    "n": "Inclusion–exclusion for two sets",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/inclusion-exclusion-for-two-sets/"
  },
  {
    "t": "0C5BFX94J9",
    "n": "Recurrence for Stirling numbers of the first kind",
    "k": "statement",
    "m": [
      "11B73"
    ],
    "u": "/wiki/recurrence-for-stirling-numbers-of-the-first-kind/"
  },
  {
    "t": "0C5M7AM6FH",
    "n": "Chromatic number",
    "k": "definition",
    "m": [
      "05C15"
    ],
    "u": "/wiki/chromatic-number-definition/"
  },
  {
    "t": "0C5PREPZWG",
    "n": "Hyperbolic equilibrium point",
    "a": [
      "hyperbolic-fixed-point"
    ],
    "k": "definition",
    "m": [
      "34C05",
      "37C75"
    ],
    "u": "/wiki/hyperbolic-equilibrium-point-definition/"
  },
  {
    "t": "0C5RDJE73X",
    "n": "Number of subsets of a finite set",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/number-of-subsets-of-a-finite-set/"
  },
  {
    "t": "0C5SR4FC74",
    "n": "Codomain",
    "a": [
      "target"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/codomain/"
  },
  {
    "t": "0C5TP6RYSV",
    "n": "Polynomial functions are continuous",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/polynomial-functions-are-continuous/"
  },
  {
    "t": "0C62PZXX02",
    "n": "Multigraph",
    "k": "concept",
    "m": [
      "05C99"
    ],
    "u": "/wiki/multigraph/"
  },
  {
    "t": "0C6J8BQXVR",
    "n": "Uncorrelated random variables that are not independent",
    "a": [
      "uncorrelated-does-not-imply-independent"
    ],
    "k": "counterexample",
    "m": [
      "60A05"
    ],
    "u": "/wiki/uncorrelated-random-variables-that-are-not-independent/"
  },
  {
    "t": "0C6THFRMZR",
    "n": "Tangent line to a circle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/tangent-line-to-a-circle-definition/"
  },
  {
    "t": "0C81YBVTWH",
    "n": "Cartesian product",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/cartesian-product-definition/"
  },
  {
    "t": "0C8BR8XRTR",
    "n": "Normal operator",
    "k": "concept",
    "m": [
      "47B15",
      "15A04"
    ],
    "u": "/wiki/normal-operator/"
  },
  {
    "t": "0C8QENHYZW",
    "n": "Möbius function",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/mobius-function-definition/"
  },
  {
    "t": "0C8WYW4KYQ",
    "n": "Greatest common divisor",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/greatest-common-divisor/"
  },
  {
    "t": "0C95TG69SG",
    "n": "Euclidean distance",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/euclidean-distance-definition/"
  },
  {
    "t": "0C9CMCN9BQ",
    "n": "Contractive sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/contractive-sequence/"
  },
  {
    "t": "0C9J6W2A8A",
    "n": "Rooted tree",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/rooted-tree-definition/"
  },
  {
    "t": "0C9MZY2RNA",
    "n": "Altitude of a triangle",
    "a": [
      "height-of-a-triangle"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/altitude-of-a-triangle/"
  },
  {
    "t": "0C9S13WKMF",
    "n": "Reverse triangle inequality",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/reverse-triangle-inequality/"
  },
  {
    "t": "0C9ZKYSPYR",
    "n": "The kernel is a normal subgroup",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/the-kernel-is-a-normal-subgroup/"
  },
  {
    "t": "0CARW59WD2",
    "n": "Sequential compactness",
    "k": "definition",
    "m": [
      "54D30"
    ],
    "u": "/wiki/sequential-compactness-definition/"
  },
  {
    "t": "0CB0DX5BVV",
    "n": "Normal subgroup",
    "a": [
      "invariant-subgroup"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/normal-subgroup/"
  },
  {
    "t": "0CBAB9QQ9X",
    "n": "Complex numbers as pairs of reals",
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/complex-numbers-as-pairs-of-reals/"
  },
  {
    "t": "0CBQVVNBMP",
    "n": "Kurtosis",
    "k": "definition",
    "m": [
      "62E10"
    ],
    "u": "/wiki/kurtosis-definition/"
  },
  {
    "t": "0CBRFQ7DVZ",
    "n": "Normal extension",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/normal-extension-definition/"
  },
  {
    "t": "0CC4VC7KR3",
    "n": "Logistic equation",
    "a": [
      "verhulst-equation"
    ],
    "k": "example",
    "m": [
      "92D25"
    ],
    "u": "/wiki/logistic-equation/"
  },
  {
    "t": "0CC56MJ4FG",
    "n": "Harmonic conjugate",
    "k": "definition",
    "m": [
      "31A05"
    ],
    "u": "/wiki/harmonic-conjugate-definition/"
  },
  {
    "t": "0CCPN09EMJ",
    "n": "Discriminant of a polynomial",
    "k": "definition",
    "m": [
      "12E05"
    ],
    "u": "/wiki/discriminant-of-a-polynomial-definition/"
  },
  {
    "t": "0CCQV3884B",
    "n": "Matrix–vector product",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-vector-product-definition/"
  },
  {
    "t": "0CD87SFM2N",
    "n": "Two-sided ideal",
    "k": "concept",
    "m": [
      "16D25"
    ],
    "u": "/wiki/two-sided-ideal/"
  },
  {
    "t": "0CDAHW576M",
    "n": "A finite field of order q is the splitting field of x^q - x",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/a-finite-field-of-order-q-is-the-splitting-field-of-x-q-x/"
  },
  {
    "t": "0CDMXGPSES",
    "n": "Riemann sphere",
    "k": "definition",
    "m": [
      "30F10"
    ],
    "u": "/wiki/riemann-sphere-definition/"
  },
  {
    "t": "0CDVDGWGEG",
    "n": "Degrees along an Eulerian trail",
    "k": "statement",
    "m": [
      "05C45"
    ],
    "u": "/wiki/degrees-along-an-eulerian-trail/"
  },
  {
    "t": "0CDVK9RQBH",
    "n": "Martingale",
    "k": "definition",
    "m": [
      "60G42"
    ],
    "u": "/wiki/martingale-definition/"
  },
  {
    "t": "0CDWKDYWN6",
    "n": "Universal property of the free group",
    "k": "statement",
    "m": [
      "20E05"
    ],
    "u": "/wiki/universal-property-of-the-free-group/"
  },
  {
    "t": "0CDZ684TCD",
    "n": "Work done by a force field",
    "a": [
      "work-of-a-force"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/work-done-by-a-force-field/"
  },
  {
    "t": "0CE768XNVP",
    "n": "Arctangent",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/arctangent/"
  },
  {
    "t": "0CEAT3418X",
    "n": "Conic section",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/conic-section-definition/"
  },
  {
    "t": "0CEBCS0E0E",
    "n": "Number of permutations",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/number-of-permutations/"
  },
  {
    "t": "0CEC45PRJN",
    "n": "Modular multiplicative inverse",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/modular-multiplicative-inverse/"
  },
  {
    "t": "0CEGEASY49",
    "n": "Zero of a holomorphic function",
    "k": "definition",
    "m": [
      "30C15"
    ],
    "u": "/wiki/zero-of-a-holomorphic-function-definition/"
  },
  {
    "t": "0CES91M79A",
    "n": "Polynomials in several variables",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/polynomials-in-several-variables-definition/"
  },
  {
    "t": "0CEX9BRXRZ",
    "n": "Classification of complex quadratic forms",
    "k": "statement",
    "m": [
      "11E04",
      "15A63"
    ],
    "u": "/wiki/classification-of-complex-quadratic-forms/"
  },
  {
    "t": "0CF0XGYHNJ",
    "n": "exp(2 pi i/n) is a primitive root of unity",
    "k": "statement",
    "m": [
      "11R18"
    ],
    "u": "/wiki/exp-2-pi-i-n-is-a-primitive-root-of-unity/"
  },
  {
    "t": "0CGCPX8Z70",
    "n": "Frobenius automorphism of a finite field",
    "k": "concept",
    "m": [
      "12E20"
    ],
    "u": "/wiki/frobenius-automorphism-of-a-finite-field/"
  },
  {
    "t": "0CGYNDCWRR",
    "n": "Special orthogonal group",
    "k": "object",
    "m": [
      "15B10",
      "20G20"
    ],
    "u": "/wiki/special-orthogonal-group/"
  },
  {
    "t": "0CH4VG15RE",
    "n": "Disc of convergence",
    "a": [
      "disk-of-convergence",
      "radius-of-convergence"
    ],
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/disc-of-convergence/"
  },
  {
    "t": "0CHE3J7QMX",
    "n": "Irreducible elements need not be prime",
    "k": "counterexample",
    "m": [
      "13A05"
    ],
    "u": "/wiki/irreducible-elements-need-not-be-prime/"
  },
  {
    "t": "0CHQKZFK5S",
    "n": "Division algorithm",
    "a": [
      "euclidean-division",
      "division-with-remainder"
    ],
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/division-algorithm/"
  },
  {
    "t": "0CHR35YNJQ",
    "n": "Subbasis",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/subbasis-definition/"
  },
  {
    "t": "0CHS7RBD39",
    "n": "Euclidean domain",
    "k": "concept",
    "m": [
      "13F07"
    ],
    "u": "/wiki/euclidean-domain/"
  },
  {
    "t": "0CKGBEJX6B",
    "n": "Finite subgroups of the multiplicative group of a field are cyclic",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/finite-subgroups-of-the-multiplicative-group-of-a-field-are-cyclic/"
  },
  {
    "t": "0CMC2KAXFS",
    "n": "Cyclic quadrilateral",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/cyclic-quadrilateral-definition/"
  },
  {
    "t": "0CMD0BCH8T",
    "n": "Principal ideal domain",
    "a": [
      "pid"
    ],
    "k": "concept",
    "m": [
      "13F10"
    ],
    "u": "/wiki/principal-ideal-domain/"
  },
  {
    "t": "0CMHSGTWXB",
    "n": "Equivalent matrices",
    "k": "concept",
    "m": [
      "15A21"
    ],
    "u": "/wiki/equivalent-matrices/"
  },
  {
    "t": "0CN97GADE5",
    "n": "Abel's test",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/abels-test/"
  },
  {
    "t": "0CNQXVBHCX",
    "n": "Topological space",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/topological-space-definition/"
  },
  {
    "t": "0CP5NDD21C",
    "n": "First-countable space",
    "a": [
      "first-axiom-of-countability"
    ],
    "k": "concept",
    "m": [
      "54D70"
    ],
    "u": "/wiki/first-countable-space/"
  },
  {
    "t": "0CP7YY6NAG",
    "n": "Square matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/square-matrix-definition/"
  },
  {
    "t": "0CQ357M0QS",
    "n": "Impossibility of doubling the cube",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/impossibility-of-doubling-the-cube/"
  },
  {
    "t": "0CQ9ZM383N",
    "n": "Absolute value is continuous but not differentiable at 0",
    "k": "counterexample",
    "m": [
      "26A24"
    ],
    "u": "/wiki/absolute-value-is-continuous-but-not-differentiable-at-0/"
  },
  {
    "t": "0CQHFPGJ45",
    "n": "Topological space",
    "a": [
      "topology"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/topological-space/"
  },
  {
    "t": "0CQQG3DEW9",
    "n": "Bernoulli process",
    "k": "concept",
    "m": [
      "60G50"
    ],
    "u": "/wiki/bernoulli-process/"
  },
  {
    "t": "0CQW20XGFW",
    "n": "Parabola",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/parabola-definition/"
  },
  {
    "t": "0CRMGPAH83",
    "n": "Linear independence",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-independence/"
  },
  {
    "t": "0CS42KEM5C",
    "n": "Uniform convergence of derivatives allows term-by-term differentiation",
    "k": "statement",
    "m": [
      "40A30",
      "26A24"
    ],
    "u": "/wiki/uniform-convergence-of-derivatives-allows-term-by-term-differentiation/"
  },
  {
    "t": "0CT6CBGTYY",
    "n": "Exponential growth beats polynomial growth",
    "k": "statement",
    "m": [
      "26A12",
      "33B10"
    ],
    "u": "/wiki/exponential-growth-beats-polynomial-growth/"
  },
  {
    "t": "0CTE7A31XQ",
    "n": "Complex plane",
    "a": [
      "argand-diagram",
      "argand-plane",
      "gauss-plane"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/complex-plane/"
  },
  {
    "t": "0CTM1EHG9P",
    "n": "Box topology",
    "k": "definition",
    "m": [
      "54B10"
    ],
    "u": "/wiki/box-topology-definition/"
  },
  {
    "t": "0CTNFGYMM2",
    "n": "Triangle",
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/triangle/"
  },
  {
    "t": "0CTV783HYT",
    "n": "Real sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/real-sequence-definition/"
  },
  {
    "t": "0CV69WDRXW",
    "n": "Partition function",
    "k": "concept",
    "m": [
      "11P81"
    ],
    "u": "/wiki/partition-function/"
  },
  {
    "t": "0CVVKY7GY2",
    "n": "Convergent series",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-series-definition/"
  },
  {
    "t": "0CW52NV5TC",
    "n": "Annulus",
    "a": [
      "annular-region",
      "ring-domain"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/annulus/"
  },
  {
    "t": "0CWDVN132S",
    "n": "Arccosine",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/arccosine/"
  },
  {
    "t": "0CWK2NFSEW",
    "n": "Improper multiple integral",
    "a": [
      "improper-double-integral"
    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/improper-multiple-integral/"
  },
  {
    "t": "0CWXCWP0Y0",
    "n": "Automorphism group",
    "a": [
      "group-of-automorphisms"
    ],
    "k": "definition",
    "m": [
      "20F28"
    ],
    "u": "/wiki/automorphism-group-definition/"
  },
  {
    "t": "0CX86CR8JV",
    "n": "Integrating factor for a non-exact equation",
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/integrating-factor-for-a-non-exact-equation/"
  },
  {
    "t": "0CXTMAY5PX",
    "n": "Harmonic series",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/harmonic-series/"
  },
  {
    "t": "0CXXJNG5B6",
    "n": "First isomorphism theorem",
    "a": [
      "fundamental-theorem-on-homomorphisms"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/first-isomorphism-theorem/"
  },
  {
    "t": "0CXZ217QDP",
    "n": "Linearity of the derivative",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/linearity-of-the-derivative/"
  },
  {
    "t": "0CYRECG2YQ",
    "n": "Transitive relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/transitive-relation-definition/"
  },
  {
    "t": "0CYYAF8AD2",
    "n": "Derivative of a continuous linear map",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-of-a-continuous-linear-map/"
  },
  {
    "t": "0CZA0NCFWP",
    "n": "Singular solution",
    "k": "definition",
    "m": [
      "34A09"
    ],
    "u": "/wiki/singular-solution-definition/"
  },
  {
    "t": "0CZRT49QNG",
    "n": "Contractive sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/contractive-sequence-definition/"
  },
  {
    "t": "0D032NSZKY",
    "n": "Closed curve",
    "k": "definition",
    "m": [
      "53A04"
    ],
    "u": "/wiki/closed-curve-definition/"
  },
  {
    "t": "0D0GBNDKDH",
    "n": "Martingale",
    "a": [
      "martingale-probability-theory"
    ],
    "k": "concept",
    "m": [
      "60G42"
    ],
    "u": "/wiki/martingale/"
  },
  {
    "t": "0D0SMQYEJA",
    "n": "Fibonacci recurrence",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/fibonacci-recurrence/"
  },
  {
    "t": "0D198GPMTJ",
    "n": "Dense set",
    "a": [
      "dense-subset"
    ],
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/dense-set-definition/"
  },
  {
    "t": "0D1AHYPM8N",
    "n": "Tautology",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/tautology-definition/"
  },
  {
    "t": "0D1C9Y1EXA",
    "n": "Complex differentiability",
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/complex-differentiability-definition/"
  },
  {
    "t": "0D1NY1ARDR",
    "n": "Geometric sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/geometric-sequence/"
  },
  {
    "t": "0D1R4SVMBQ",
    "n": "Correspondence theorem for rings",
    "a": [
      "fourth-isomorphism-theorem-for-rings",
      "lattice-theorem-for-rings"
    ],
    "k": "statement",
    "m": [
      "16D25"
    ],
    "u": "/wiki/correspondence-theorem-for-rings/"
  },
  {
    "t": "0D1VWQGZZ7",
    "n": "Conjugate elements",
    "a": [
      "conjugacy"
    ],
    "k": "definition",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugate-elements-definition/"
  },
  {
    "t": "0D2MXBV21T",
    "n": "Restriction of a function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/restriction-of-a-function-definition/"
  },
  {
    "t": "0D2W7FS52T",
    "n": "A set is closed iff it equals its closure",
    "k": "statement",
    "m": [
      "54A05"
    ],
    "u": "/wiki/a-set-is-closed-iff-it-equals-its-closure/"
  },
  {
    "t": "0D2Y6G4C4S",
    "n": "Harmonic number",
    "k": "definition",
    "m": [
      "11B83"
    ],
    "u": "/wiki/harmonic-number-definition/"
  },
  {
    "t": "0D37QFPEZE",
    "n": "Integration by substitution",
    "a": [
      "change-of-variables-formula"
    ],
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/integration-by-substitution/"
  },
  {
    "t": "0D3PFXEAKF",
    "n": "Consecutive Fibonacci numbers are coprime",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/consecutive-fibonacci-numbers-are-coprime/"
  },
  {
    "t": "0D3WA36K2Q",
    "n": "Order isomorphism",
    "a": [
      "order-isomorphic"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/order-isomorphism/"
  },
  {
    "t": "0D430QR02W",
    "n": "Rouché's theorem",
    "a": [
      "rouche-theorem"
    ],
    "k": "statement",
    "m": [
      "30C15"
    ],
    "u": "/wiki/rouches-theorem/"
  },
  {
    "t": "0D474C7ES1",
    "n": "Convergents of a continued fraction",
    "k": "concept",
    "m": [
      "11A55"
    ],
    "u": "/wiki/convergents-of-a-continued-fraction/"
  },
  {
    "t": "0D5KR33H7X",
    "n": "Baire space",
    "k": "definition",
    "m": [
      "54E52"
    ],
    "u": "/wiki/baire-space-definition/"
  },
  {
    "t": "0D5YHQGDJY",
    "n": "Subspace topology",
    "k": "definition",
    "m": [
      "54B05"
    ],
    "u": "/wiki/subspace-topology-definition/"
  },
  {
    "t": "0D6FCW80A0",
    "n": "A continuous injective function on an interval is strictly monotone",
    "k": "statement",
    "m": [
      "26A48"
    ],
    "u": "/wiki/a-continuous-injective-function-on-an-interval-is-strictly-monotone/"
  },
  {
    "t": "0D6J4B671D",
    "n": "Probability mass function",
    "a": [
      "pmf",
      "frequency-function",
      "discrete-density"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-mass-function/"
  },
  {
    "t": "0D6KH8Y59N",
    "n": "Polynomial ring over a UFD is a UFD",
    "k": "statement",
    "m": [
      "13F15"
    ],
    "u": "/wiki/polynomial-ring-over-a-ufd-is-a-ufd/"
  },
  {
    "t": "0D6KXBHKC0",
    "n": "Power series in the complex plane",
    "a": [
      "complex-power-series",
      "power-series"
    ],
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/power-series-in-the-complex-plane/"
  },
  {
    "t": "0D6RMJ10M9",
    "n": "Unitary matrix",
    "k": "definition",
    "m": [
      "15B57",
      "15A21"
    ],
    "u": "/wiki/unitary-matrix-definition/"
  },
  {
    "t": "0D6WHTTH7T",
    "n": "Conjugate subgroup",
    "k": "definition",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugate-subgroup-definition/"
  },
  {
    "t": "0D752BG155",
    "n": "Zero is not a successor",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/zero-is-not-a-successor/"
  },
  {
    "t": "0D7EZ10V2R",
    "n": "Binary tree",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/binary-tree/"
  },
  {
    "t": "0D7GRZ2ADX",
    "n": "The exponential function is convex",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/the-exponential-function-is-convex/"
  },
  {
    "t": "0D81KWH9ZM",
    "n": "Bridge",
    "k": "definition",
    "m": [
      "05C40"
    ],
    "u": "/wiki/bridge-definition/"
  },
  {
    "t": "0D86GJEZ39",
    "n": "Variance of a sum",
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/variance-of-a-sum/"
  },
  {
    "t": "0D8HE681SC",
    "n": "Construction of the reals from Cauchy sequences",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/construction-of-the-reals-from-cauchy-sequences/"
  },
  {
    "t": "0D8T984XEE",
    "n": "Limits are unique in Hausdorff spaces",
    "k": "statement",
    "m": [
      "54D10"
    ],
    "u": "/wiki/limits-are-unique-in-hausdorff-spaces/"
  },
  {
    "t": "0D939CMME7",
    "n": "Connected space",
    "k": "definition",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-space-definition/"
  },
  {
    "t": "0D98771SM0",
    "n": "Tangent vector of a curve",
    "k": "definition",
    "m": [
      "53A04"
    ],
    "u": "/wiki/tangent-vector-of-a-curve-definition/"
  },
  {
    "t": "0D9NDGE9KP",
    "n": "Uniqueness of inverses",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/uniqueness-of-inverses/"
  },
  {
    "t": "0DAECMZVRT",
    "n": "Straightedge and compass construction",
    "a": [
      "ruler-and-compass-construction",
      "compass-and-straightedge-construction"
    ],
    "k": "concept",
    "m": [
      "51M15"
    ],
    "u": "/wiki/straightedge-and-compass-construction/"
  },
  {
    "t": "0DAMHCT17R",
    "n": "Euler's totient function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/eulers-totient-function/"
  },
  {
    "t": "0DAX8PMAJ4",
    "n": "Probability axioms",
    "a": [
      "kolmogorov-axioms"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/probability-axioms/"
  },
  {
    "t": "0DB0R4N5XX",
    "n": "Mean of the geometric distribution",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/mean-of-the-geometric-distribution/"
  },
  {
    "t": "0DBTE6HVBD",
    "n": "Matrix of the adjoint is the conjugate transpose",
    "k": "statement",
    "m": [
      "15A04",
      "47A05"
    ],
    "u": "/wiki/matrix-of-the-adjoint-is-the-conjugate-transpose/"
  },
  {
    "t": "0DBWXQRXQJ",
    "n": "Torsion subgroup",
    "k": "concept",
    "m": [
      "20K10"
    ],
    "u": "/wiki/torsion-subgroup/"
  },
  {
    "t": "0DC3MPR7C9",
    "n": "Open ball",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/open-ball-definition/"
  },
  {
    "t": "0DCT0QZVQ1",
    "n": "Expected value",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/expected-value-definition/"
  },
  {
    "t": "0DDA6CY7GJ",
    "n": "Two-sided ideal",
    "k": "definition",
    "m": [
      "16D25"
    ],
    "u": "/wiki/two-sided-ideal-definition/"
  },
  {
    "t": "0DDPZAG5ER",
    "n": "Right inverse",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/right-inverse-definition/"
  },
  {
    "t": "0DE5R5EB4D",
    "n": "Elementary row operations",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/elementary-row-operations-definition/"
  },
  {
    "t": "0DEB0JMN0W",
    "n": "Harmonic function",
    "a": [
      "solution-of-laplace-equation"
    ],
    "k": "concept",
    "m": [
      "31B05"
    ],
    "u": "/wiki/harmonic-function/"
  },
  {
    "t": "0DEBXAJ5SA",
    "n": "Conjugacy class",
    "k": "concept",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugacy-class/"
  },
  {
    "t": "0DFT1GP1JP",
    "n": "Gaussian integral",
    "a": [
      "euler-poisson-integral"
    ],
    "k": "example",
    "m": [
      "26A42",
      "40A10"
    ],
    "u": "/wiki/gaussian-integral/"
  },
  {
    "t": "0DFWHQ839T",
    "n": "Strong law of large numbers",
    "a": [
      "kolmogorov-strong-law"
    ],
    "k": "statement",
    "m": [
      "60F15"
    ],
    "u": "/wiki/strong-law-of-large-numbers/"
  },
  {
    "t": "0DFYTNZ6AM",
    "n": "Finite extensions are algebraic",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/finite-extensions-are-algebraic/"
  },
  {
    "t": "0DFZNHJ0S2",
    "n": "Commutativity of addition",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/commutativity-of-addition/"
  },
  {
    "t": "0DG0Z72CQD",
    "n": "Holomorphic function",
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/holomorphic-function-definition/"
  },
  {
    "t": "0DG10TVYPN",
    "n": "Cauchy's integral formula",
    "a": [
      "cauchy-integral-formula"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/cauchys-integral-formula/"
  },
  {
    "t": "0DGDS5XY84",
    "n": "Alternating bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/alternating-bilinear-form/"
  },
  {
    "t": "0DGZBQWZWN",
    "n": "Spectral theorem for Hermitian matrices",
    "k": "statement",
    "m": [
      "15A18",
      "15B57"
    ],
    "u": "/wiki/spectral-theorem-for-hermitian-matrices/"
  },
  {
    "t": "0DH7HMXP9F",
    "n": "Order of a permutation is the lcm of its cycle lengths",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/order-of-a-permutation-is-the-lcm-of-its-cycle-lengths/"
  },
  {
    "t": "0DJ8W3HP2D",
    "n": "Covariance",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/covariance-definition/"
  },
  {
    "t": "0DJ9Y9V610",
    "n": "Upper central series",
    "a": [
      "ascending-central-series"
    ],
    "k": "definition",
    "m": [
      "20F14"
    ],
    "u": "/wiki/upper-central-series-definition/"
  },
  {
    "t": "0DJMGPN8K9",
    "n": "Estimation lemma",
    "a": [
      "ml-inequality",
      "ml-lemma"
    ],
    "k": "statement",
    "m": [
      "30A10"
    ],
    "u": "/wiki/estimation-lemma/"
  },
  {
    "t": "0DKCECSYCF",
    "n": "Quadratic residue",
    "k": "concept",
    "m": [
      "11A15"
    ],
    "u": "/wiki/quadratic-residue/"
  },
  {
    "t": "0DKMBWTD7P",
    "n": "Cosets have the same cardinality as the subgroup",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cosets-have-the-same-cardinality-as-the-subgroup/"
  },
  {
    "t": "0DKRR22AEQ",
    "n": "Random variable",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/random-variable-definition/"
  },
  {
    "t": "0DMY75D6FV",
    "n": "Basel problem",
    "a": [
      "sum-of-reciprocals-of-squares"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/basel-problem/"
  },
  {
    "t": "0DNN9B6Q2F",
    "n": "Correlation coefficient",
    "a": [
      "pearson-correlation-coefficient",
      "correlation",
      "pearson-r"
    ],
    "k": "concept",
    "m": [
      "62H20"
    ],
    "u": "/wiki/correlation-coefficient/"
  },
  {
    "t": "0DNNT7DBFM",
    "n": "Linear equation",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/linear-equation-definition/"
  },
  {
    "t": "0DPF6WRZW6",
    "n": "Degree of a polynomial",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/degree-of-a-polynomial-definition/"
  },
  {
    "t": "0DQ8ERJZNS",
    "n": "Surface integral",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/surface-integral-definition/"
  },
  {
    "t": "0DQEHHVRBX",
    "n": "Slope field",
    "k": "concept",
    "m": [
      "34A26"
    ],
    "u": "/wiki/slope-field/"
  },
  {
    "t": "0DQG39K2NH",
    "n": "K[x] is a Euclidean domain",
    "k": "statement",
    "m": [
      "13F07"
    ],
    "u": "/wiki/k-x-is-a-euclidean-domain/"
  },
  {
    "t": "0DQMDSVSXJ",
    "n": "Universal property of the polynomial ring",
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/universal-property-of-the-polynomial-ring/"
  },
  {
    "t": "0DQPNJNPYK",
    "n": "Well-founded relation",
    "a": [
      "well-foundedness"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/well-founded-relation/"
  },
  {
    "t": "0DQVHMYAGA",
    "n": "Bézout's identity",
    "a": [
      "bezout-lemma",
      "bezouts-lemma"
    ],
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/bezouts-identity/"
  },
  {
    "t": "0DR81R1F2B",
    "n": "Joint probability distribution",
    "a": [
      "joint-distribution",
      "multivariate-distribution"
    ],
    "k": "concept",
    "m": [
      "62H05"
    ],
    "u": "/wiki/joint-probability-distribution/"
  },
  {
    "t": "0DRF0F3XC9",
    "n": "Inequality of arithmetic and geometric means",
    "a": [
      "am-gm-inequality"
    ],
    "k": "statement",
    "m": [
      "26E60"
    ],
    "u": "/wiki/inequality-of-arithmetic-and-geometric-means/"
  },
  {
    "t": "0DRKT1QJR7",
    "n": "Closure",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/closure-definition/"
  },
  {
    "t": "0DS2F7GK05",
    "n": "Galois extension",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-extension-definition/"
  },
  {
    "t": "0DS2QFYJHE",
    "n": "Fundamental system of solutions",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/fundamental-system-of-solutions/"
  },
  {
    "t": "0DS9KWFDK2",
    "n": "The rationals are countable",
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/the-rationals-are-countable/"
  },
  {
    "t": "0DSHAVH45F",
    "n": "Definition by recursion",
    "a": [
      "recursive-definition",
      "inductive-definition"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/definition-by-recursion/"
  },
  {
    "t": "0DT0TCV75N",
    "n": "Set difference",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/set-difference-definition/"
  },
  {
    "t": "0DTCBCKEJP",
    "n": "Transvection",
    "a": [
      "shear-matrix"
    ],
    "k": "concept",
    "m": [
      "15A23"
    ],
    "u": "/wiki/transvection/"
  },
  {
    "t": "0DTXBQPA2S",
    "n": "Index of a subgroup",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/index-of-a-subgroup/"
  },
  {
    "t": "0DTY8B9HMS",
    "n": "Linear span",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-span/"
  },
  {
    "t": "0DVDCMA2DK",
    "n": "Probability distribution",
    "a": [
      "distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-distribution/"
  },
  {
    "t": "0DXD4QSZ8A",
    "n": "Conjugate elements",
    "k": "concept",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugate-elements/"
  },
  {
    "t": "0DXKE10PHF",
    "n": "Conjugate transpose",
    "a": [
      "hermitian-transpose"
    ],
    "k": "concept",
    "m": [
      "15A99",
      "15B57"
    ],
    "u": "/wiki/conjugate-transpose/"
  },
  {
    "t": "0DYS9C3HH5",
    "n": "Stone's representation theorem for finite Boolean algebras",
    "k": "statement",
    "m": [
      "06E05",
      "06E15"
    ],
    "u": "/wiki/stones-representation-theorem-for-finite-boolean-algebras/"
  },
  {
    "t": "0DZ93493VN",
    "n": "Centre of a group",
    "a": [
      "center-of-a-group"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/centre-of-a-group/"
  },
  {
    "t": "0DZ9DKAKZR",
    "n": "Free module",
    "k": "concept",
    "m": [
      "16D40",
      "13C10"
    ],
    "u": "/wiki/free-module/"
  },
  {
    "t": "0DZGSDHD92",
    "n": "Irrationality of the square root of 2",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrationality-of-the-square-root-of-2/"
  },
  {
    "t": "0DZPD2MG33",
    "n": "Nilpotent group",
    "k": "definition",
    "m": [
      "20F18"
    ],
    "u": "/wiki/nilpotent-group-definition/"
  },
  {
    "t": "0DZS7ZG0QY",
    "n": "Length of a vector",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/length-of-a-vector-definition/"
  },
  {
    "t": "0DZXAXEJQ9",
    "n": "Irrational number",
    "k": "concept",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrational-number/"
  },
  {
    "t": "0E021GF2B8",
    "n": "Number of nth roots of unity",
    "k": "statement",
    "m": [
      "11R18"
    ],
    "u": "/wiki/number-of-nth-roots-of-unity/"
  },
  {
    "t": "0E088ZP533",
    "n": "Jordan–Hölder theorem",
    "a": [
      "jordan-holder-theorem"
    ],
    "k": "statement",
    "m": [
      "20E15",
      "20D30"
    ],
    "u": "/wiki/jordan-holder-theorem/"
  },
  {
    "t": "0E0B6RA8K0",
    "n": "Laplacian",
    "a": [
      "laplace-operator"
    ],
    "k": "concept",
    "m": [
      "35J05"
    ],
    "u": "/wiki/laplacian/"
  },
  {
    "t": "0E0DNQK22P",
    "n": "Primitive root theorem",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/primitive-root-theorem/"
  },
  {
    "t": "0E10E0NW9V",
    "n": "Square root function",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/square-root-function/"
  },
  {
    "t": "0E1MMCAY5B",
    "n": "Euclidean metric",
    "a": [
      "euclidean-distance"
    ],
    "k": "example",
    "m": [
      "51M05"
    ],
    "u": "/wiki/euclidean-metric/"
  },
  {
    "t": "0E1ZZBHZ3Z",
    "n": "Riccati equation",
    "k": "definition",
    "m": [
      "34A34"
    ],
    "u": "/wiki/riccati-equation-definition/"
  },
  {
    "t": "0E22JKS4W4",
    "n": "Complete residue system",
    "a": [
      "complete-system-of-residues"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/complete-residue-system-definition/"
  },
  {
    "t": "0E2HSCKZ6C",
    "n": "Orbit-stabiliser theorem",
    "a": [
      "orbit-stabilizer-theorem"
    ],
    "k": "statement",
    "m": [
      "20B05"
    ],
    "u": "/wiki/orbit-stabiliser-theorem/"
  },
  {
    "t": "0E2NYPVSP9",
    "n": "Dimension of the orthogonal complement",
    "k": "statement",
    "m": [
      "15A03",
      "46C05"
    ],
    "u": "/wiki/dimension-of-the-orthogonal-complement/"
  },
  {
    "t": "0E3G0GRPZ6",
    "n": "Differential form",
    "k": "concept",
    "m": [
      "58A10"
    ],
    "u": "/wiki/differential-form/"
  },
  {
    "t": "0E3MV6E6MG",
    "n": "Polynomial of an endomorphism",
    "k": "concept",
    "m": [
      "15A04",
      "15A54"
    ],
    "u": "/wiki/polynomial-of-an-endomorphism/"
  },
  {
    "t": "0E3X2G1ZQB",
    "n": "Algebra of endomorphisms",
    "k": "object",
    "m": [
      "15A04",
      "16S50"
    ],
    "u": "/wiki/algebra-of-endomorphisms/"
  },
  {
    "t": "0E3X7TXS67",
    "n": "Limit point",
    "a": [
      "accumulation-point",
      "cluster-point"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/limit-point/"
  },
  {
    "t": "0E44JMG6NV",
    "n": "Base rate fallacy",
    "a": [
      "base-rate-neglect",
      "false-positive-paradox"
    ],
    "k": "example",
    "m": [
      "62F15"
    ],
    "u": "/wiki/base-rate-fallacy/"
  },
  {
    "t": "0E4GXX7SJP",
    "n": "Blow-up in finite time",
    "a": [
      "finite-time-blow-up"
    ],
    "k": "example",
    "m": [
      "34C11"
    ],
    "u": "/wiki/blow-up-in-finite-time/"
  },
  {
    "t": "0E4WH0R7HG",
    "n": "Cayley table",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cayley-table-definition/"
  },
  {
    "t": "0E5CXYNEPX",
    "n": "Directrix",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/directrix/"
  },
  {
    "t": "0E5G5FMT2R",
    "n": "Law of total probability",
    "a": [
      "rule-of-elimination"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/law-of-total-probability/"
  },
  {
    "t": "0E70M92FE3",
    "n": "Convergents converge to the number",
    "k": "statement",
    "m": [
      "11A55"
    ],
    "u": "/wiki/convergents-converge-to-the-number/"
  },
  {
    "t": "0E741HSMJ1",
    "n": "Fermat's Last Theorem for n = 4",
    "k": "statement",
    "m": [
      "11D25"
    ],
    "u": "/wiki/fermats-last-theorem-for-n-4/"
  },
  {
    "t": "0E7VBYGFF7",
    "n": "Riemann rearrangement theorem",
    "a": [
      "riemann-series-theorem"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/riemann-rearrangement-theorem/"
  },
  {
    "t": "0E7W0EM6J6",
    "n": "Casting out nines",
    "k": "concept",
    "m": [
      "11A63"
    ],
    "u": "/wiki/casting-out-nines/"
  },
  {
    "t": "0E89HQATM8",
    "n": "Similar matrices",
    "a": [
      "conjugate-matrices"
    ],
    "k": "concept",
    "m": [
      "15A21"
    ],
    "u": "/wiki/similar-matrices/"
  },
  {
    "t": "0E8HNVBCSP",
    "n": "Exponential of a sum",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/exponential-of-a-sum/"
  },
  {
    "t": "0E9502NT92",
    "n": "Independence of two random variables",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independence-of-two-random-variables-definition/"
  },
  {
    "t": "0E99F51GVB",
    "n": "Exponential distribution",
    "a": [
      "negative-exponential-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/exponential-distribution/"
  },
  {
    "t": "0E9GTAV478",
    "n": "Range of a function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/range-of-a-function-definition/"
  },
  {
    "t": "0E9M24KS9J",
    "n": "Harmonic series diverges",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/harmonic-series-diverges/"
  },
  {
    "t": "0EA4XFB0EY",
    "n": "Ceiling function",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/ceiling-function/"
  },
  {
    "t": "0EA5BTA0CX",
    "n": "Division ring",
    "a": [
      "skew-field"
    ],
    "k": "concept",
    "m": [
      "12E15"
    ],
    "u": "/wiki/division-ring/"
  },
  {
    "t": "0EAAS2EHDR",
    "n": "Chain rule in several variables",
    "a": [
      "multivariable-chain-rule"
    ],
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/chain-rule-in-several-variables/"
  },
  {
    "t": "0EAJ2XXADC",
    "n": "Degree of a field extension",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/degree-of-a-field-extension/"
  },
  {
    "t": "0EAR3KNRTN",
    "n": "Trigonometric substitution",
    "k": "concept",
    "m": [
      "26A36"
    ],
    "u": "/wiki/trigonometric-substitution/"
  },
  {
    "t": "0EB6BBMQMC",
    "n": "A composite number has a prime factor at most its square root",
    "k": "statement",
    "m": [
      "11A51"
    ],
    "u": "/wiki/a-composite-number-has-a-prime-factor-at-most-its-square-root/"
  },
  {
    "t": "0EB9N0S33C",
    "n": "Invertible matrix",
    "a": [
      "nonsingular-matrix"
    ],
    "k": "concept",
    "m": [
      "15A09"
    ],
    "u": "/wiki/invertible-matrix/"
  },
  {
    "t": "0EBACQFAZW",
    "n": "Cardinal number",
    "a": [
      "cardinal"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinal-number/"
  },
  {
    "t": "0EBCWQ8BVE",
    "n": "Probability-generating function",
    "a": [
      "probability-generating-function",
      "pgf"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-generating-function/"
  },
  {
    "t": "0EBE031B8E",
    "n": "A finite integral domain is a field",
    "k": "statement",
    "m": [
      "13G05"
    ],
    "u": "/wiki/a-finite-integral-domain-is-a-field/"
  },
  {
    "t": "0EBZ3G455G",
    "n": "The multiplicative group of a finite field is cyclic",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/the-multiplicative-group-of-a-finite-field-is-cyclic/"
  },
  {
    "t": "0EC7AGJ0PX",
    "n": "Exact equation",
    "k": "definition",
    "m": [
      "34A05"
    ],
    "u": "/wiki/exact-equation-definition/"
  },
  {
    "t": "0ECVK59Y03",
    "n": "Empty set",
    "a": [
      "null-set"
    ],
    "k": "object",
    "m": [
      "03E20"
    ],
    "u": "/wiki/empty-set/"
  },
  {
    "t": "0ED4HWNDGW",
    "n": "Interval of convergence",
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/interval-of-convergence/"
  },
  {
    "t": "0ED72CTBNP",
    "n": "Counterexample",
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/counterexample/"
  },
  {
    "t": "0EDH403M21",
    "n": "Existence of the infimum",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/existence-of-the-infimum/"
  },
  {
    "t": "0EDKGA2FAK",
    "n": "Hamiltonian system",
    "k": "concept",
    "m": [
      "37J06"
    ],
    "u": "/wiki/hamiltonian-system/"
  },
  {
    "t": "0EE19CFEEF",
    "n": "Neyman–Pearson lemma",
    "a": [
      "neyman-pearson-lemma"
    ],
    "k": "statement",
    "m": [
      "62F03"
    ],
    "u": "/wiki/neyman-pearson-lemma/"
  },
  {
    "t": "0EE2V3CHFK",
    "n": "Rule of sum",
    "a": [
      "addition-principle",
      "sum-rule"
    ],
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/rule-of-sum/"
  },
  {
    "t": "0EEE2CZB2A",
    "n": "Continuity at a point",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/continuity-at-a-point-definition/"
  },
  {
    "t": "0EEKF7YFBW",
    "n": "Refinement of a partition",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/refinement-of-a-partition-definition/"
  },
  {
    "t": "0EERDDPSVT",
    "n": "Limit cycle",
    "k": "definition",
    "m": [
      "34C07",
      "37C27"
    ],
    "u": "/wiki/limit-cycle-definition/"
  },
  {
    "t": "0EF2VG8XKQ",
    "n": "Concave function",
    "k": "definition",
    "m": [
      "26A51"
    ],
    "u": "/wiki/concave-function-definition/"
  },
  {
    "t": "0EFDDXTVD6",
    "n": "Convergence in probability",
    "k": "definition",
    "m": [
      "60F05"
    ],
    "u": "/wiki/convergence-in-probability-definition/"
  },
  {
    "t": "0EFYCFHYFG",
    "n": "Proof by infinite descent",
    "a": [
      "infinite-descent",
      "method-of-descent"
    ],
    "k": "concept",
    "m": [
      "11D99"
    ],
    "u": "/wiki/proof-by-infinite-descent/"
  },
  {
    "t": "0EGJZHZ02C",
    "n": "Primality test",
    "k": "concept",
    "m": [
      "11Y11"
    ],
    "u": "/wiki/primality-test/"
  },
  {
    "t": "0EGN1E1JPB",
    "n": "Formal derivative",
    "k": "concept",
    "m": [
      "13N15"
    ],
    "u": "/wiki/formal-derivative/"
  },
  {
    "t": "0EGSEE9J9R",
    "n": "Boole's inequality",
    "a": [
      "union-bound"
    ],
    "k": "statement",
    "m": [
      "60E15"
    ],
    "u": "/wiki/booles-inequality/"
  },
  {
    "t": "0EHBY5Y84N",
    "n": "Prime number theorem",
    "k": "statement",
    "m": [
      "11N05"
    ],
    "u": "/wiki/prime-number-theorem/"
  },
  {
    "t": "0EHKVRF4J6",
    "n": "Liouville's theorem",
    "a": [
      "liouvilles-theorem-complex-analysis"
    ],
    "k": "statement",
    "m": [
      "30D20"
    ],
    "u": "/wiki/liouvilles-theorem/"
  },
  {
    "t": "0EHM5ZP5QH",
    "n": "Primitive root of unity",
    "k": "concept",
    "m": [
      "11R18"
    ],
    "u": "/wiki/primitive-root-of-unity/"
  },
  {
    "t": "0EHWPWGHB2",
    "n": "Binomial theorem",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/binomial-theorem/"
  },
  {
    "t": "0EHYZFZ4PK",
    "n": "P-value",
    "k": "definition",
    "m": [
      "62F03"
    ],
    "u": "/wiki/p-value-definition/"
  },
  {
    "t": "0EJ4PC8NJ6",
    "n": "Universal property of the abelianisation",
    "k": "statement",
    "m": [
      "20F12"
    ],
    "u": "/wiki/universal-property-of-the-abelianisation/"
  },
  {
    "t": "0EJVD9K0K1",
    "n": "Normal convergence",
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/normal-convergence/"
  },
  {
    "t": "0EKGKY5TGH",
    "n": "Epsilon-delta continuity in metric spaces",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/epsilon-delta-continuity-in-metric-spaces/"
  },
  {
    "t": "0EKZCX4K3P",
    "n": "Hermitian matrix",
    "k": "definition",
    "m": [
      "15B57"
    ],
    "u": "/wiki/hermitian-matrix-definition/"
  },
  {
    "t": "0EKZW08FQ5",
    "n": "Orientable surface",
    "k": "definition",
    "m": [
      "53A05"
    ],
    "u": "/wiki/orientable-surface-definition/"
  },
  {
    "t": "0EM6C9SZN5",
    "n": "Existence of nontrivial solutions of Pell's equation",
    "k": "statement",
    "m": [
      "11D09"
    ],
    "u": "/wiki/existence-of-nontrivial-solutions-of-pells-equation/"
  },
  {
    "t": "0EN0V3NY20",
    "n": "Chi-squared test",
    "a": [
      "chi-square-test",
      "pearsons-chi-squared-test"
    ],
    "k": "concept",
    "m": [
      "62H17",
      "62G10"
    ],
    "u": "/wiki/chi-squared-test/"
  },
  {
    "t": "0ENVM493VK",
    "n": "Inverse in terms of the adjugate",
    "k": "statement",
    "m": [
      "15A09"
    ],
    "u": "/wiki/inverse-in-terms-of-the-adjugate/"
  },
  {
    "t": "0ENZN5G4CV",
    "n": "Normal operator",
    "k": "definition",
    "m": [
      "47B15",
      "15A04"
    ],
    "u": "/wiki/normal-operator-definition/"
  },
  {
    "t": "0EP59ESQ94",
    "n": "Invariant subspace",
    "k": "definition",
    "m": [
      "15A04",
      "47A15"
    ],
    "u": "/wiki/invariant-subspace-definition/"
  },
  {
    "t": "0EP73HK4C4",
    "n": "Row space",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/row-space-definition/"
  },
  {
    "t": "0EPAT51DXQ",
    "n": "Function",
    "a": [
      "map",
      "mapping"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/function/"
  },
  {
    "t": "0EPD87YVG8",
    "n": "Continuous image of a connected set is connected",
    "k": "statement",
    "m": [
      "54D05"
    ],
    "u": "/wiki/continuous-image-of-a-connected-set-is-connected/"
  },
  {
    "t": "0EPTDZPJ83",
    "n": "Convergence in probability implies convergence in distribution",
    "k": "statement",
    "m": [
      "60F05"
    ],
    "u": "/wiki/convergence-in-probability-implies-convergence-in-distribution/"
  },
  {
    "t": "0EPTJA5QV4",
    "n": "Linear subspace",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-subspace-definition/"
  },
  {
    "t": "0EPW94MJ1P",
    "n": "Constrained optimisation",
    "a": [
      "constrained-optimization"
    ],
    "k": "concept",
    "m": [
      "90C30"
    ],
    "u": "/wiki/constrained-optimisation/"
  },
  {
    "t": "0EPZC4Z1FC",
    "n": "Central limit theorem",
    "a": [
      "clt",
      "lindeberg-levy-central-limit-theorem"
    ],
    "k": "statement",
    "m": [
      "60F05"
    ],
    "u": "/wiki/central-limit-theorem/"
  },
  {
    "t": "0EQFWKJ37J",
    "n": "Hyperbolic cosine",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-cosine-definition/"
  },
  {
    "t": "0EQMWQ4WMJ",
    "n": "Locally compact space",
    "k": "definition",
    "m": [
      "54D45"
    ],
    "u": "/wiki/locally-compact-space-definition/"
  },
  {
    "t": "0EQWVHF3W5",
    "n": "Field extension",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/field-extension/"
  },
  {
    "t": "0EQZSAB9EC",
    "n": "Homogeneous linear equation",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/homogeneous-linear-equation-definition/"
  },
  {
    "t": "0EREPBVG2G",
    "n": "Induced subgraph",
    "k": "concept",
    "m": [
      "05C99"
    ],
    "u": "/wiki/induced-subgraph/"
  },
  {
    "t": "0ERWG4NXQ9",
    "n": "QR decomposition",
    "k": "statement",
    "m": [
      "15A23",
      "65F25"
    ],
    "u": "/wiki/qr-decomposition/"
  },
  {
    "t": "0ESCX36MMC",
    "n": "Imaginary unit",
    "a": [
      "i"
    ],
    "k": "object",
    "m": [
      "12D99"
    ],
    "u": "/wiki/imaginary-unit/"
  },
  {
    "t": "0ESHD7ZQDX",
    "n": "Divisibility by 9",
    "k": "statement",
    "m": [
      "11A63"
    ],
    "u": "/wiki/divisibility-by-9/"
  },
  {
    "t": "0ETCTBTJM1",
    "n": "Collinear points",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/collinear-points-definition/"
  },
  {
    "t": "0ETGBAK2CC",
    "n": "Existence of an algebraic closure",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/existence-of-an-algebraic-closure/"
  },
  {
    "t": "0ETGP0XVCJ",
    "n": "Gershgorin circle theorem",
    "k": "statement",
    "m": [
      "15A42",
      "15A18"
    ],
    "u": "/wiki/gershgorin-circle-theorem/"
  },
  {
    "t": "0EVHJFTG9Z",
    "n": "Linear independence",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-independence-definition/"
  },
  {
    "t": "0EW1X61ZT1",
    "n": "Poincaré–Bendixson theorem",
    "k": "statement",
    "m": [
      "34C05",
      "37C27"
    ],
    "u": "/wiki/poincare-bendixson-theorem/"
  },
  {
    "t": "0EW824Z7G2",
    "n": "Beta distribution",
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/beta-distribution/"
  },
  {
    "t": "0EWMDD6C14",
    "n": "Domain in the complex plane",
    "a": [
      "region",
      "complex-domain"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/domain-in-the-complex-plane/"
  },
  {
    "t": "0EWQEYRVA8",
    "n": "Rank of a matrix",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/rank-of-a-matrix-definition/"
  },
  {
    "t": "0EWXPZCSZ0",
    "n": "Impossibility of trisecting the angle",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/impossibility-of-trisecting-the-angle/"
  },
  {
    "t": "0EX045E2BP",
    "n": "Conjugate transpose",
    "k": "definition",
    "m": [
      "15A99",
      "15B57"
    ],
    "u": "/wiki/conjugate-transpose-definition/"
  },
  {
    "t": "0EX2HPXPJ6",
    "n": "Product of vector spaces",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/product-of-vector-spaces/"
  },
  {
    "t": "0EX9GFJ0B3",
    "n": "The exponential function is its own derivative",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/the-exponential-function-is-its-own-derivative/"
  },
  {
    "t": "0EY05Z9RPN",
    "n": "Iterated derivative",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/iterated-derivative-definition/"
  },
  {
    "t": "0EYQ03XCR3",
    "n": "68–95–99.7 rule",
    "a": [
      "empirical-rule",
      "three-sigma-rule"
    ],
    "k": "example",
    "m": [
      "60E05"
    ],
    "u": "/wiki/68-95-99-7-rule/"
  },
  {
    "t": "0EZ758XE73",
    "n": "Element",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/element-definition/"
  },
  {
    "t": "0EZBG8SKJM",
    "n": "Cantor's intersection theorem",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/cantors-intersection-theorem/"
  },
  {
    "t": "0EZMAY1FQD",
    "n": "x sin(1/x) is continuous at 0",
    "k": "example",
    "m": [
      "26A15"
    ],
    "u": "/wiki/x-sin-1-x-is-continuous-at-0/"
  },
  {
    "t": "0EZSD6T9E0",
    "n": "Lower triangular matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/lower-triangular-matrix-definition/"
  },
  {
    "t": "0F0H5P5DED",
    "n": "Cauchy's integral formula for derivatives",
    "a": [
      "cauchy-differentiation-formula"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/cauchys-integral-formula-for-derivatives/"
  },
  {
    "t": "0F0J193T76",
    "n": "Set bounded above",
    "a": [
      "upper-bound"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/set-bounded-above/"
  },
  {
    "t": "0F0K8DB9TD",
    "n": "Prime elements are irreducible in an integral domain",
    "k": "statement",
    "m": [
      "13A05"
    ],
    "u": "/wiki/prime-elements-are-irreducible-in-an-integral-domain/"
  },
  {
    "t": "0F0RPPJ2TT",
    "n": "Column space",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/column-space-definition/"
  },
  {
    "t": "0F1AVGX26N",
    "n": "Closed and exact forms",
    "k": "definition",
    "m": [
      "58A12"
    ],
    "u": "/wiki/closed-and-exact-forms-definition/"
  },
  {
    "t": "0F1D6PK9RZ",
    "n": "Well-order",
    "k": "definition",
    "m": [
      "06A05"
    ],
    "u": "/wiki/well-order-definition/"
  },
  {
    "t": "0F1KBVY161",
    "n": "Transition matrix",
    "k": "definition",
    "m": [
      "60J10"
    ],
    "u": "/wiki/transition-matrix-definition/"
  },
  {
    "t": "0F1PR74BRX",
    "n": "Subsequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/subsequence/"
  },
  {
    "t": "0F1SN93KXE",
    "n": "Conditional variance",
    "k": "definition",
    "m": [
      "60A10"
    ],
    "u": "/wiki/conditional-variance-definition/"
  },
  {
    "t": "0F1WR9C83K",
    "n": "Derivative",
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative-definition/"
  },
  {
    "t": "0F27PBRWD7",
    "n": "Row echelon form",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/row-echelon-form-definition/"
  },
  {
    "t": "0F2PTGX1A2",
    "n": "Field of fractions",
    "a": [
      "fraction-field",
      "quotient-field"
    ],
    "k": "concept",
    "m": [
      "13B30"
    ],
    "u": "/wiki/field-of-fractions/"
  },
  {
    "t": "0F2QCWVFT7",
    "n": "Riemann integrable function",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-integrable-function/"
  },
  {
    "t": "0F2SYCKDT2",
    "n": "Lyapunov stability",
    "k": "concept",
    "m": [
      "34D20"
    ],
    "u": "/wiki/lyapunov-stability/"
  },
  {
    "t": "0F2VBPXNP9",
    "n": "Superposition principle",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/superposition-principle/"
  },
  {
    "t": "0F32S73FJN",
    "n": "Iterated derivative",
    "a": [
      "higher-frechet-derivative",
      "kth-derivative"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/iterated-derivative/"
  },
  {
    "t": "0F33KX9Q6F",
    "n": "Primitive root modulo n",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/primitive-root-modulo-n/"
  },
  {
    "t": "0F3K4C7XYW",
    "n": "Bounded linear maps are continuous",
    "k": "statement",
    "m": [
      "47B01"
    ],
    "u": "/wiki/bounded-linear-maps-are-continuous/"
  },
  {
    "t": "0F3Z22M2GT",
    "n": "Mersenne prime",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/mersenne-prime/"
  },
  {
    "t": "0F405477F8",
    "n": "Derivative vanishes at a local extremum",
    "a": [
      "fermat-theorem-several-variables",
      "interior-extremum-theorem-several-variables"
    ],
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-vanishes-at-a-local-extremum/"
  },
  {
    "t": "0F462493EA",
    "n": "Transition matrix",
    "a": [
      "stochastic-matrix",
      "markov-matrix",
      "probability-matrix"
    ],
    "k": "concept",
    "m": [
      "60J10"
    ],
    "u": "/wiki/transition-matrix/"
  },
  {
    "t": "0F4JSQE2EK",
    "n": "Divisors of a natural number",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/divisors-of-a-natural-number/"
  },
  {
    "t": "0F4WRWBZZC",
    "n": "Quadratic integer",
    "k": "concept",
    "m": [
      "11R11"
    ],
    "u": "/wiki/quadratic-integer/"
  },
  {
    "t": "0F50N2P3FC",
    "n": "Outcome",
    "a": [
      "sample-point",
      "elementary-outcome"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/outcome/"
  },
  {
    "t": "0F56CMMC5P",
    "n": "Divergence of a curl is zero",
    "a": [
      "div-curl-vanishes"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/divergence-of-a-curl-is-zero/"
  },
  {
    "t": "0F5QC101Q7",
    "n": "g to the n equals 1 iff the order divides n",
    "a": [
      "power-is-identity-iff-order-divides"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/g-to-the-n-equals-1-iff-the-order-divides-n/"
  },
  {
    "t": "0F6ES3BRYP",
    "n": "Characteristic of a ring",
    "k": "concept",
    "m": [
      "13A99"
    ],
    "u": "/wiki/characteristic-of-a-ring/"
  },
  {
    "t": "0F6FM9Y4Y6",
    "n": "Order on the integers",
    "k": "definition",
    "m": [
      "06F25"
    ],
    "u": "/wiki/order-on-the-integers-definition/"
  },
  {
    "t": "0F72FK8EKB",
    "n": "Disjunction",
    "a": [
      "logical-or",
      "inclusive-or"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/disjunction/"
  },
  {
    "t": "0F765KFC2J",
    "n": "Cayley–Hamilton theorem",
    "k": "statement",
    "m": [
      "15A24",
      "15A18"
    ],
    "u": "/wiki/cayley-hamilton-theorem/"
  },
  {
    "t": "0F7FQS6XY6",
    "n": "Square root",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/square-root/"
  },
  {
    "t": "0F7KNJ1ZYN",
    "n": "Greatest common divisor in an integral domain",
    "k": "definition",
    "m": [
      "13A05"
    ],
    "u": "/wiki/greatest-common-divisor-in-an-integral-domain-definition/"
  },
  {
    "t": "0F7QKGJS6B",
    "n": "Graph isomorphism",
    "k": "concept",
    "m": [
      "05C60"
    ],
    "u": "/wiki/graph-isomorphism/"
  },
  {
    "t": "0F8GDKM0A7",
    "n": "Convolution of probability distributions",
    "a": [
      "convolution-of-distributions",
      "convolution-of-measures"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/convolution-of-probability-distributions/"
  },
  {
    "t": "0F8X8ZRQ53",
    "n": "Group of units of Z/nZ",
    "a": [
      "multiplicative-group-of-integers-modulo-n"
    ],
    "k": "object",
    "m": [
      "11A07",
      "20K01"
    ],
    "u": "/wiki/group-of-units-of-z-nz/"
  },
  {
    "t": "0F8YBHF2W3",
    "n": "Double counting",
    "a": [
      "counting-in-two-ways"
    ],
    "k": "concept",
    "m": [
      "05A19"
    ],
    "u": "/wiki/double-counting/"
  },
  {
    "t": "0F98FZK14A",
    "n": "Circumcentre",
    "a": [
      "circumcenter"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/circumcentre/"
  },
  {
    "t": "0F9JHP8AJN",
    "n": "Codomain",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/codomain-definition/"
  },
  {
    "t": "0F9VKJPWCA",
    "n": "Absolutely convergent improper integral",
    "k": "concept",
    "m": [
      "40A10"
    ],
    "u": "/wiki/absolutely-convergent-improper-integral/"
  },
  {
    "t": "0FANE7P0DY",
    "n": "Möbius function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/mobius-function/"
  },
  {
    "t": "0FBETJR0JG",
    "n": "Local maximum",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/local-maximum/"
  },
  {
    "t": "0FBXFBZBH8",
    "n": "Affine subspace",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-subspace-definition/"
  },
  {
    "t": "0FBXJZX3MK",
    "n": "Closed subsets of complete spaces are complete",
    "k": "statement",
    "m": [
      "54E50"
    ],
    "u": "/wiki/closed-subsets-of-complete-spaces-are-complete/"
  },
  {
    "t": "0FCCDXH97W",
    "n": "Evaluation homomorphism",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/evaluation-homomorphism/"
  },
  {
    "t": "0FCCTFA275",
    "n": "Exponent of a group",
    "k": "definition",
    "m": [
      "20F50"
    ],
    "u": "/wiki/exponent-of-a-group-definition/"
  },
  {
    "t": "0FCHE902D7",
    "n": "General linear group",
    "a": [
      "gl-n"
    ],
    "k": "object",
    "m": [
      "20G15",
      "15A09"
    ],
    "u": "/wiki/general-linear-group/"
  },
  {
    "t": "0FCWA16FZE",
    "n": "Divisors of a natural number",
    "k": "definition",
    "m": [
      "11A05"
    ],
    "u": "/wiki/divisors-of-a-natural-number-definition/"
  },
  {
    "t": "0FDCW77H44",
    "n": "The gamma function extends the factorial",
    "k": "statement",
    "m": [
      "33B15"
    ],
    "u": "/wiki/the-gamma-function-extends-the-factorial/"
  },
  {
    "t": "0FDKRX9M9Y",
    "n": "Reachability",
    "k": "concept",
    "m": [
      "05C40"
    ],
    "u": "/wiki/reachability/"
  },
  {
    "t": "0FE2SB8WVJ",
    "n": "Locally compact space",
    "k": "concept",
    "m": [
      "54D45"
    ],
    "u": "/wiki/locally-compact-space/"
  },
  {
    "t": "0FE8Q5S42Y",
    "n": "Subset",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/subset-definition/"
  },
  {
    "t": "0FEBE9NC0E",
    "n": "A subgroup whose index is the smallest prime divisor of the order is normal",
    "k": "statement",
    "m": [
      "20D60"
    ],
    "u": "/wiki/a-subgroup-whose-index-is-the-smallest-prime-divisor-of-the-order-is-normal/"
  },
  {
    "t": "0FEMF8JKAF",
    "n": "e as the limit of (1 + 1/n)^n",
    "k": "statement",
    "m": [
      "26A09"
    ],
    "u": "/wiki/e-as-the-limit-of-1-1-n-n/"
  },
  {
    "t": "0FER36N8SB",
    "n": "Twin prime conjecture",
    "k": "conjecture",
    "m": [
      "11N05"
    ],
    "u": "/wiki/twin-prime-conjecture/"
  },
  {
    "t": "0FF2FJ8CH2",
    "n": "Universal property of the quotient topology",
    "k": "statement",
    "m": [
      "54B15"
    ],
    "u": "/wiki/universal-property-of-the-quotient-topology/"
  },
  {
    "t": "0FF6CAQT2Y",
    "n": "Ellipse",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/ellipse-definition/"
  },
  {
    "t": "0FF7726C7P",
    "n": "Inclusion–exclusion principle",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/inclusion-exclusion-principle/"
  },
  {
    "t": "0FFAE5P6R4",
    "n": "Affine span",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-span-definition/"
  },
  {
    "t": "0FFAYNMAJZ",
    "n": "Connected graph",
    "k": "definition",
    "m": [
      "05C40"
    ],
    "u": "/wiki/connected-graph-definition/"
  },
  {
    "t": "0FFH3HSRBA",
    "n": "Construction of the rationals as fractions",
    "k": "concept",
    "m": [
      "13B30"
    ],
    "u": "/wiki/construction-of-the-rationals-as-fractions/"
  },
  {
    "t": "0FFXKTKKQC",
    "n": "Absolute value",
    "a": [
      "modulus"
    ],
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/absolute-value/"
  },
  {
    "t": "0FGAJSPX8E",
    "n": "Kurtosis",
    "k": "concept",
    "m": [
      "62E10"
    ],
    "u": "/wiki/kurtosis/"
  },
  {
    "t": "0FGCFY1AZX",
    "n": "Preimage of a set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/preimage-of-a-set-definition/"
  },
  {
    "t": "0FGENPMPJX",
    "n": "The reals form a field",
    "k": "statement",
    "m": [
      "12D99"
    ],
    "u": "/wiki/the-reals-form-a-field/"
  },
  {
    "t": "0FHM8DB6PM",
    "n": "Characterization of bridges",
    "k": "statement",
    "m": [
      "05C40"
    ],
    "u": "/wiki/characterization-of-bridges/"
  },
  {
    "t": "0FHSDCQACY",
    "n": "Epsilon-delta uniform continuity",
    "k": "statement",
    "m": [
      "54E40"
    ],
    "u": "/wiki/epsilon-delta-uniform-continuity/"
  },
  {
    "t": "0FHVPRAE60",
    "n": "Matrix ring",
    "k": "object",
    "m": [
      "15A99",
      "16S50"
    ],
    "u": "/wiki/matrix-ring/"
  },
  {
    "t": "0FJ90Y9926",
    "n": "Group of units of a monoid",
    "a": [
      "units-of-a-monoid"
    ],
    "k": "concept",
    "m": [
      "20M10"
    ],
    "u": "/wiki/group-of-units-of-a-monoid/"
  },
  {
    "t": "0FJB06AD2P",
    "n": "Conditional probability",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/conditional-probability-definition/"
  },
  {
    "t": "0FJBBCXYPS",
    "n": "Chromatic number of a complete bipartite graph",
    "k": "statement",
    "m": [
      "05C15"
    ],
    "u": "/wiki/chromatic-number-of-a-complete-bipartite-graph/"
  },
  {
    "t": "0FJTGZA4GS",
    "n": "Bertrand's postulate",
    "a": [
      "bertrand-chebyshev-theorem",
      "chebyshev-theorem"
    ],
    "k": "statement",
    "m": [
      "11N05"
    ],
    "u": "/wiki/bertrands-postulate/"
  },
  {
    "t": "0FJY6G7FNA",
    "n": "Maximum degree",
    "k": "concept",
    "m": [
      "05C07"
    ],
    "u": "/wiki/maximum-degree/"
  },
  {
    "t": "0FJZMBX0ZZ",
    "n": "Triangle inequality for norms",
    "k": "statement",
    "m": [
      "46B20"
    ],
    "u": "/wiki/triangle-inequality-for-norms/"
  },
  {
    "t": "0FK17N4DKA",
    "n": "Simultaneous diagonalisation",
    "k": "statement",
    "m": [
      "15A20",
      "15A27"
    ],
    "u": "/wiki/simultaneous-diagonalisation/"
  },
  {
    "t": "0FM6N4R0VB",
    "n": "Monotone convergence theorem for sequences",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/monotone-convergence-theorem-for-sequences/"
  },
  {
    "t": "0FMAQSB1SC",
    "n": "Burnside's p^a q^b theorem",
    "a": [
      "burnsides-theorem"
    ],
    "k": "statement",
    "m": [
      "20D10"
    ],
    "u": "/wiki/burnsides-p-a-q-b-theorem/"
  },
  {
    "t": "0FMN2MN7TM",
    "n": "Constructible number",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/constructible-number-definition/"
  },
  {
    "t": "0FNKFT8H6E",
    "n": "Total derivative",
    "a": [
      "derivative-of-a-map-between-euclidean-spaces",
      "differential-of-a-map"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/total-derivative/"
  },
  {
    "t": "0FNN9B4W64",
    "n": "Chinese remainder theorem",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/chinese-remainder-theorem/"
  },
  {
    "t": "0FP31SX5EA",
    "n": "Even and odd functions",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/even-and-odd-functions/"
  },
  {
    "t": "0FP4BVDAAQ",
    "n": "Scalar potential",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/scalar-potential-definition/"
  },
  {
    "t": "0FPWF7TTMB",
    "n": "Lévy's continuity theorem",
    "a": [
      "levy-continuity-theorem"
    ],
    "k": "statement",
    "m": [
      "60E10",
      "60F05"
    ],
    "u": "/wiki/levys-continuity-theorem/"
  },
  {
    "t": "0FPXK5CHQ3",
    "n": "Reduced word",
    "a": [
      "freely-reduced-word"
    ],
    "k": "definition",
    "m": [
      "20E05"
    ],
    "u": "/wiki/reduced-word-definition/"
  },
  {
    "t": "0FQ5B8S1ZC",
    "n": "Spanning tree",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/spanning-tree-definition/"
  },
  {
    "t": "0FQ968YKA1",
    "n": "Convergence of random variables",
    "a": [
      "modes-of-convergence-of-random-variables",
      "stochastic-convergence"
    ],
    "k": "concept",
    "m": [
      "60F05",
      "60F15"
    ],
    "u": "/wiki/convergence-of-random-variables/"
  },
  {
    "t": "0FQPYAY9PJ",
    "n": "Meagre set",
    "k": "definition",
    "m": [
      "54E52"
    ],
    "u": "/wiki/meagre-set-definition/"
  },
  {
    "t": "0FQRAV5SKH",
    "n": "Inverse of a complex number",
    "k": "statement",
    "m": [
      "12D99"
    ],
    "u": "/wiki/inverse-of-a-complex-number/"
  },
  {
    "t": "0FQSDC2EQ2",
    "n": "Convex hull",
    "a": [
      "convex-envelope",
      "convex-closure"
    ],
    "k": "concept",
    "m": [
      "52A20"
    ],
    "u": "/wiki/convex-hull/"
  },
  {
    "t": "0FR1BDKK10",
    "n": "Comparison test for improper integrals",
    "k": "statement",
    "m": [
      "40A10"
    ],
    "u": "/wiki/comparison-test-for-improper-integrals/"
  },
  {
    "t": "0FRBZ2X4HJ",
    "n": "Heron's formula",
    "a": [
      "heros-formula"
    ],
    "k": "statement",
    "m": [
      "51M25"
    ],
    "u": "/wiki/herons-formula/"
  },
  {
    "t": "0FREPFKNS7",
    "n": "Maximum likelihood estimation",
    "a": [
      "mle",
      "maximum-likelihood-estimator",
      "maximum-likelihood"
    ],
    "k": "concept",
    "m": [
      "62F10"
    ],
    "u": "/wiki/maximum-likelihood-estimation/"
  },
  {
    "t": "0FRM62SG7D",
    "n": "Scalar matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/scalar-matrix-definition/"
  },
  {
    "t": "0FRMJH3CY7",
    "n": "Sequential compactness",
    "a": [
      "sequentially-compact-space",
      "sequentially-compact-set"
    ],
    "k": "concept",
    "m": [
      "54D30"
    ],
    "u": "/wiki/sequential-compactness/"
  },
  {
    "t": "0FRSR10DWF",
    "n": "The complex numbers form a field",
    "k": "statement",
    "m": [
      "12D99"
    ],
    "u": "/wiki/the-complex-numbers-form-a-field/"
  },
  {
    "t": "0FRX8JD7QH",
    "n": "Grönwall bound",
    "k": "definition",
    "m": [
      "34A40"
    ],
    "u": "/wiki/gronwall-bound-definition/"
  },
  {
    "t": "0FRXBVVR03",
    "n": "Total order",
    "a": [
      "linear-order",
      "totally-ordered-set"
    ],
    "k": "concept",
    "m": [
      "06A05"
    ],
    "u": "/wiki/total-order/"
  },
  {
    "t": "0FRYPZ6D0X",
    "n": "Trace is a coefficient of the characteristic polynomial",
    "k": "statement",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/trace-is-a-coefficient-of-the-characteristic-polynomial/"
  },
  {
    "t": "0FS3RHF6KE",
    "n": "Infinite pigeonhole principle",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/infinite-pigeonhole-principle/"
  },
  {
    "t": "0FS6B46E5T",
    "n": "Determinant of a matrix with a zero row",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-matrix-with-a-zero-row/"
  },
  {
    "t": "0FS972T0ZH",
    "n": "Bertrand's ballot theorem",
    "k": "statement",
    "m": [
      "05A15"
    ],
    "u": "/wiki/bertrands-ballot-theorem/"
  },
  {
    "t": "0FSCXYG856",
    "n": "Reversing a path changes the sign of a line integral",
    "a": [
      "orientation-reversal-of-line-integrals"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/reversing-a-path-changes-the-sign-of-a-line-integral/"
  },
  {
    "t": "0FSJA9M43W",
    "n": "Multiplicativity of the totient function",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/multiplicativity-of-the-totient-function/"
  },
  {
    "t": "0FSNQ0GNCC",
    "n": "Identity function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/identity-function-definition/"
  },
  {
    "t": "0FTH2E9TAS",
    "n": "Complex conjugate",
    "a": [
      "conjugate"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/complex-conjugate/"
  },
  {
    "t": "0FWBQ53MPJ",
    "n": "Choice function",
    "a": [
      "selector"
    ],
    "k": "concept",
    "m": [
      "03E25"
    ],
    "u": "/wiki/choice-function/"
  },
  {
    "t": "0FWJ0VW561",
    "n": "Orthonormal basis",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthonormal-basis-definition/"
  },
  {
    "t": "0FWVRHBRWM",
    "n": "Transposition",
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/transposition/"
  },
  {
    "t": "0FXDW992DS",
    "n": "Initial value problem",
    "k": "concept",
    "m": [
      "34A12"
    ],
    "u": "/wiki/initial-value-problem/"
  },
  {
    "t": "0FXJ7YFMMX",
    "n": "Solvable group",
    "a": [
      "soluble-group"
    ],
    "k": "concept",
    "m": [
      "20F16"
    ],
    "u": "/wiki/solvable-group/"
  },
  {
    "t": "0FY42N02DV",
    "n": "Algebraic multiplicity",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/algebraic-multiplicity/"
  },
  {
    "t": "0FYQMKFE77",
    "n": "Order of quantifiers",
    "a": [
      "quantifier-order"
    ],
    "k": "concept",
    "m": [
      "03B10"
    ],
    "u": "/wiki/order-of-quantifiers/"
  },
  {
    "t": "0FYX44GP92",
    "n": "Recurrence relation",
    "k": "concept",
    "m": [
      "39A05"
    ],
    "u": "/wiki/recurrence-relation/"
  },
  {
    "t": "0FZFHK97P7",
    "n": "Second derivative test",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/second-derivative-test/"
  },
  {
    "t": "0G01TS1RRP",
    "n": "Deficient number",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/deficient-number-definition/"
  },
  {
    "t": "0G0ASKNA6Z",
    "n": "Cardinality",
    "a": [
      "size-of-a-set",
      "number-of-elements"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinality/"
  },
  {
    "t": "0G0B3DRG65",
    "n": "Cyclic group of order n",
    "a": [
      "integers-modulo-n-under-addition"
    ],
    "k": "example",
    "m": [
      "20K01"
    ],
    "u": "/wiki/cyclic-group-of-order-n/"
  },
  {
    "t": "0G0F7FGCGP",
    "n": "Transcendence of pi",
    "a": [
      "lindemann-s-theorem"
    ],
    "k": "statement",
    "m": [
      "11J81"
    ],
    "u": "/wiki/transcendence-of-pi/"
  },
  {
    "t": "0G0RFPG8HR",
    "n": "Eigenspace",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenspace/"
  },
  {
    "t": "0G1022YXVQ",
    "n": "Galton–Watson process",
    "a": [
      "galton-watson-process",
      "bienayme-galton-watson-process",
      "branching-process"
    ],
    "k": "concept",
    "m": [
      "60J80"
    ],
    "u": "/wiki/galton-watson-process/"
  },
  {
    "t": "0G24VQ1088",
    "n": "Sylvester's determinant theorem",
    "a": [
      "weinstein-aronszajn-identity"
    ],
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/sylvesters-determinant-theorem/"
  },
  {
    "t": "0G2YJN0H5S",
    "n": "The complex exponential is entire",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/the-complex-exponential-is-entire/"
  },
  {
    "t": "0G31VJ5YS5",
    "n": "Tensor product of vector spaces",
    "k": "definition",
    "m": [
      "15A69"
    ],
    "u": "/wiki/tensor-product-of-vector-spaces-definition/"
  },
  {
    "t": "0G3DBXRRQJ",
    "n": "Continuous dependence on initial data",
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/continuous-dependence-on-initial-data/"
  },
  {
    "t": "0G3RRM41X9",
    "n": "Dedekind cut",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/dedekind-cut/"
  },
  {
    "t": "0G48PYM96Q",
    "n": "Markov chain",
    "a": [
      "discrete-time-markov-chain"
    ],
    "k": "concept",
    "m": [
      "60J10"
    ],
    "u": "/wiki/markov-chain/"
  },
  {
    "t": "0G4C8SJ6PV",
    "n": "Automorphism group of a cyclic group",
    "k": "statement",
    "m": [
      "20F28"
    ],
    "u": "/wiki/automorphism-group-of-a-cyclic-group/"
  },
  {
    "t": "0G4D3ZKTP8",
    "n": "Sum of the reciprocals of the factorials",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sum-of-the-reciprocals-of-the-factorials/"
  },
  {
    "t": "0G4F0XB9X2",
    "n": "Entire function",
    "a": [
      "integral-function"
    ],
    "k": "concept",
    "m": [
      "30D20"
    ],
    "u": "/wiki/entire-function/"
  },
  {
    "t": "0G4J7Z7WPJ",
    "n": "Completion of a metric space",
    "k": "definition",
    "m": [
      "54E50"
    ],
    "u": "/wiki/completion-of-a-metric-space-definition/"
  },
  {
    "t": "0G4MFRQSGN",
    "n": "Cylindrical coordinates",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/cylindrical-coordinates-definition/"
  },
  {
    "t": "0G4W89YJRK",
    "n": "Oriented angle",
    "k": "definition",
    "m": [
      "51M05"
    ],
    "u": "/wiki/oriented-angle-definition/"
  },
  {
    "t": "0G4X36AE0X",
    "n": "Equilibrium point",
    "a": [
      "critical-point"
    ],
    "k": "definition",
    "m": [
      "34C05",
      "34A34"
    ],
    "u": "/wiki/equilibrium-point-definition/"
  },
  {
    "t": "0G52BPNPKG",
    "n": "Clique",
    "k": "definition",
    "m": [
      "05C69"
    ],
    "u": "/wiki/clique-definition/"
  },
  {
    "t": "0G558GJQMW",
    "n": "Multivariate normal distribution",
    "k": "definition",
    "m": [
      "62H05"
    ],
    "u": "/wiki/multivariate-normal-distribution-definition/"
  },
  {
    "t": "0G5AV9Q4RR",
    "n": "Closed set",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/closed-set-definition/"
  },
  {
    "t": "0G65751VSW",
    "n": "Derivative of the inverse function",
    "a": [
      "inverse-derivative-formula"
    ],
    "k": "statement",
    "m": [
      "26B10"
    ],
    "u": "/wiki/derivative-of-the-inverse-function/"
  },
  {
    "t": "0G6D8E7CTA",
    "n": "Cauchy sequences are bounded",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-sequences-are-bounded/"
  },
  {
    "t": "0G77XFBV00",
    "n": "Lexicographic order",
    "k": "definition",
    "m": [
      "06A05"
    ],
    "u": "/wiki/lexicographic-order-definition/"
  },
  {
    "t": "0G78GP5TF1",
    "n": "Vector projection",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/vector-projection-definition/"
  },
  {
    "t": "0G7WM8DX4P",
    "n": "Parametrised curve",
    "a": [
      "parametric-curve",
      "path-in-rn"
    ],
    "k": "concept",
    "m": [
      "53A04"
    ],
    "u": "/wiki/parametrised-curve/"
  },
  {
    "t": "0G8G1TH5WK",
    "n": "Uniqueness of the complete ordered field",
    "k": "statement",
    "m": [
      "12J15"
    ],
    "u": "/wiki/uniqueness-of-the-complete-ordered-field/"
  },
  {
    "t": "0G8VEZ3WTK",
    "n": "Equivalence relation",
    "a": [
      "equivalence"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-relation/"
  },
  {
    "t": "0G9EKM0E15",
    "n": "Sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sequence/"
  },
  {
    "t": "0GA1V8NN8C",
    "n": "Inscribed angle theorem",
    "a": [
      "central-angle-theorem"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/inscribed-angle-theorem/"
  },
  {
    "t": "0GA6G43EA9",
    "n": "Derivative of arcsine",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivative-of-arcsine/"
  },
  {
    "t": "0GA9K57A39",
    "n": "Fibonacci sequence",
    "k": "example",
    "m": [
      "11B39"
    ],
    "u": "/wiki/fibonacci-sequence/"
  },
  {
    "t": "0GBG8B49AA",
    "n": "Product topology",
    "a": [
      "tychonoff-topology"
    ],
    "k": "concept",
    "m": [
      "54B10"
    ],
    "u": "/wiki/product-topology/"
  },
  {
    "t": "0GBJACNAP6",
    "n": "Independence of two random variables",
    "a": [
      "independent-random-variables"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independence-of-two-random-variables/"
  },
  {
    "t": "0GBZDAFPX8",
    "n": "Epsilon-delta definition of a limit",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/epsilon-delta-definition-of-a-limit/"
  },
  {
    "t": "0GBZM0MT0F",
    "n": "Binomial coefficient",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/binomial-coefficient/"
  },
  {
    "t": "0GCM7B6PBK",
    "n": "Concave function",
    "k": "concept",
    "m": [
      "26A51"
    ],
    "u": "/wiki/concave-function/"
  },
  {
    "t": "0GCVEV6BJA",
    "n": "Mutual independence of events",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/mutual-independence-of-events-definition/"
  },
  {
    "t": "0GCWJS2EGB",
    "n": "Eccentricity",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/eccentricity-definition/"
  },
  {
    "t": "0GDNHS9J2X",
    "n": "Curl",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/curl-definition/"
  },
  {
    "t": "0GDQRETR59",
    "n": "Prüfer sequence",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/prufer-sequence/"
  },
  {
    "t": "0GE4DVQKR8",
    "n": "The quaternions",
    "a": [
      "hamilton-quaternions"
    ],
    "k": "example",
    "m": [
      "16K20"
    ],
    "u": "/wiki/the-quaternions/"
  },
  {
    "t": "0GEQ42PTGB",
    "n": "Critical point",
    "a": [
      "stationary-point"
    ],
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/critical-point-definition/"
  },
  {
    "t": "0GETX79CJN",
    "n": "Normal core",
    "a": [
      "core-of-a-subgroup"
    ],
    "k": "concept",
    "m": [
      "20D25"
    ],
    "u": "/wiki/normal-core/"
  },
  {
    "t": "0GF6AJEBZ0",
    "n": "Induction from an arbitrary base case",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/induction-from-an-arbitrary-base-case/"
  },
  {
    "t": "0GFGHRT2FJ",
    "n": "Subfield",
    "k": "concept",
    "m": [
      "12F99"
    ],
    "u": "/wiki/subfield/"
  },
  {
    "t": "0GFGK40582",
    "n": "Pointwise convergence",
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/pointwise-convergence/"
  },
  {
    "t": "0GFKP8F8AG",
    "n": "Coprime integers",
    "a": [
      "relatively-prime",
      "mutually-prime"
    ],
    "k": "definition",
    "m": [
      "11A05"
    ],
    "u": "/wiki/coprime-integers-definition/"
  },
  {
    "t": "0GG9TVW90M",
    "n": "Bijective function",
    "a": [
      "bijection",
      "one-to-one-correspondence"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/bijective-function/"
  },
  {
    "t": "0GGE0Z0JQ1",
    "n": "Ring homomorphism",
    "k": "definition",
    "m": [
      "16B99"
    ],
    "u": "/wiki/ring-homomorphism-definition/"
  },
  {
    "t": "0GGKJGZF6D",
    "n": "P-value",
    "a": [
      "p-value",
      "probability-value"
    ],
    "k": "concept",
    "m": [
      "62F03"
    ],
    "u": "/wiki/p-value/"
  },
  {
    "t": "0GGXWDNKBR",
    "n": "Forest",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/forest/"
  },
  {
    "t": "0GHDDVAH8P",
    "n": "Frobenius endomorphism",
    "k": "definition",
    "m": [
      "13A35"
    ],
    "u": "/wiki/frobenius-endomorphism-definition/"
  },
  {
    "t": "0GHS47PDAQ",
    "n": "Universal quantifier",
    "a": [
      "for-all",
      "universal-quantification"
    ],
    "k": "concept",
    "m": [
      "03B10"
    ],
    "u": "/wiki/universal-quantifier/"
  },
  {
    "t": "0GHWEH6H15",
    "n": "General solution of an inhomogeneous linear equation",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/general-solution-of-an-inhomogeneous-linear-equation/"
  },
  {
    "t": "0GJ2HRG95T",
    "n": "Euclidean domain",
    "k": "definition",
    "m": [
      "13F07"
    ],
    "u": "/wiki/euclidean-domain-definition/"
  },
  {
    "t": "0GJ7T0NK49",
    "n": "Polynomial evaluation",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/polynomial-evaluation-definition/"
  },
  {
    "t": "0GJ83E78A5",
    "n": "Universal property of the quotient group",
    "a": [
      "factorization-through-the-quotient"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/universal-property-of-the-quotient-group/"
  },
  {
    "t": "0GJAJC6TNZ",
    "n": "Angle at a point",
    "a": [
      "unoriented-angle"
    ],
    "k": "concept",
    "m": [
      "51M05"
    ],
    "u": "/wiki/angle-at-a-point/"
  },
  {
    "t": "0GJBJ19NXR",
    "n": "Mersenne number",
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/mersenne-number-definition/"
  },
  {
    "t": "0GJM24EXP9",
    "n": "Cancellation in an integral domain",
    "k": "statement",
    "m": [
      "13G05"
    ],
    "u": "/wiki/cancellation-in-an-integral-domain/"
  },
  {
    "t": "0GJWQZCPZM",
    "n": "Trace is linear",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/trace-is-linear/"
  },
  {
    "t": "0GJZCE87WP",
    "n": "Addition formulas for hyperbolic functions",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/addition-formulas-for-hyperbolic-functions/"
  },
  {
    "t": "0GJZE2E4RX",
    "n": "Function for which the iterated integrals differ",
    "a": [
      "fubini-counterexample"
    ],
    "k": "counterexample",
    "m": [
      "26B15"
    ],
    "u": "/wiki/function-for-which-the-iterated-integrals-differ/"
  },
  {
    "t": "0GJZW9JFZQ",
    "n": "Transitive relation",
    "a": [
      "transitivity"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/transitive-relation/"
  },
  {
    "t": "0GK1WB9R98",
    "n": "Minimal polynomial of an algebraic element",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/minimal-polynomial-of-an-algebraic-element/"
  },
  {
    "t": "0GK68PZ6KH",
    "n": "Solution space of a homogeneous linear equation has dimension n",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/solution-space-of-a-homogeneous-linear-equation-has-dimension-n/"
  },
  {
    "t": "0GKJ78948V",
    "n": "Separable space",
    "k": "definition",
    "m": [
      "54D65"
    ],
    "u": "/wiki/separable-space-definition/"
  },
  {
    "t": "0GKQKF0FXJ",
    "n": "The alternating group A5 is simple",
    "k": "example",
    "m": [
      "20B30",
      "20D06"
    ],
    "u": "/wiki/the-alternating-group-a5-is-simple/"
  },
  {
    "t": "0GMPYM0NSR",
    "n": "Adjugate matrix",
    "k": "definition",
    "m": [
      "15A09",
      "15A15"
    ],
    "u": "/wiki/adjugate-matrix-definition/"
  },
  {
    "t": "0GMV7GP8W0",
    "n": "Absolute value is multiplicative",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/absolute-value-is-multiplicative/"
  },
  {
    "t": "0GNCRPYXYV",
    "n": "Subring",
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/subring/"
  },
  {
    "t": "0GNG2KVPZJ",
    "n": "Nilpotent groups are solvable",
    "k": "statement",
    "m": [
      "20F18",
      "20F16"
    ],
    "u": "/wiki/nilpotent-groups-are-solvable/"
  },
  {
    "t": "0GNGPF7KS5",
    "n": "Antichain",
    "k": "definition",
    "m": [
      "06A07"
    ],
    "u": "/wiki/antichain-definition/"
  },
  {
    "t": "0GNVN3CA2P",
    "n": "Dirichlet's theorem on arithmetic progressions",
    "a": [
      "dirichlet-prime-number-theorem"
    ],
    "k": "statement",
    "m": [
      "11N13"
    ],
    "u": "/wiki/dirichlets-theorem-on-arithmetic-progressions/"
  },
  {
    "t": "0GP9ASVQ1X",
    "n": "Chain",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/chain-definition/"
  },
  {
    "t": "0GPBVKE31D",
    "n": "Complete residue system",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/complete-residue-system/"
  },
  {
    "t": "0GPFKS96T7",
    "n": "Cardinality of the power set",
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinality-of-the-power-set/"
  },
  {
    "t": "0GPG24Q3GR",
    "n": "Cauchy distribution",
    "a": [
      "lorentz-distribution",
      "cauchy-lorentz-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/cauchy-distribution/"
  },
  {
    "t": "0GPQ67XV7N",
    "n": "The medians meet at the centroid",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/the-medians-meet-at-the-centroid/"
  },
  {
    "t": "0GQ3H7VW3V",
    "n": "Skewness",
    "k": "definition",
    "m": [
      "62E10"
    ],
    "u": "/wiki/skewness-definition/"
  },
  {
    "t": "0GQ938GDE0",
    "n": "Independence of random variables",
    "a": [
      "mutually-independent-random-variables"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independence-of-random-variables/"
  },
  {
    "t": "0GR2APWTAC",
    "n": "Quotient of continuous functions is continuous",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/quotient-of-continuous-functions-is-continuous/"
  },
  {
    "t": "0GRAATMGP1",
    "n": "Wedge product of forms",
    "a": [
      "exterior-product-of-forms"
    ],
    "k": "concept",
    "m": [
      "15A75"
    ],
    "u": "/wiki/wedge-product-of-forms/"
  },
  {
    "t": "0GRM3BS0DD",
    "n": "Curl-free field that is not conservative",
    "a": [
      "vortex-field"
    ],
    "k": "counterexample",
    "m": [
      "26B12"
    ],
    "u": "/wiki/curl-free-field-that-is-not-conservative/"
  },
  {
    "t": "0GS0AW6JRY",
    "n": "Angles in the same segment are equal",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/angles-in-the-same-segment-are-equal/"
  },
  {
    "t": "0GS27TKF1V",
    "n": "Completely multiplicative function",
    "a": [
      "totally-multiplicative-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/completely-multiplicative-function-definition/"
  },
  {
    "t": "0GS74FGFEK",
    "n": "Degree of a field extension",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/degree-of-a-field-extension-definition/"
  },
  {
    "t": "0GSDHYMA1T",
    "n": "Thales's theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/thaless-theorem/"
  },
  {
    "t": "0GSW76Q14N",
    "n": "Ideal generated by a subset",
    "k": "concept",
    "m": [
      "13A15"
    ],
    "u": "/wiki/ideal-generated-by-a-subset/"
  },
  {
    "t": "0GSZ7B0CGR",
    "n": "Extended real number line",
    "a": [
      "extended-reals"
    ],
    "k": "object",
    "m": [
      "26A03"
    ],
    "u": "/wiki/extended-real-number-line/"
  },
  {
    "t": "0GT4WWGWH2",
    "n": "System of linear equations",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/system-of-linear-equations/"
  },
  {
    "t": "0GT85FBPTS",
    "n": "Decimal expansion as a series",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/decimal-expansion-as-a-series/"
  },
  {
    "t": "0GTBGMZXV8",
    "n": "Triple integral",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/triple-integral-definition/"
  },
  {
    "t": "0GTEHJQRFK",
    "n": "Gaussian prime",
    "k": "definition",
    "m": [
      "11R11"
    ],
    "u": "/wiki/gaussian-prime-definition/"
  },
  {
    "t": "0GTZ2F3PQY",
    "n": "Cavalieri's principle",
    "a": [
      "method-of-indivisibles"
    ],
    "k": "statement",
    "m": [
      "28A75"
    ],
    "u": "/wiki/cavalieris-principle/"
  },
  {
    "t": "0GV2573FP4",
    "n": "Bijection principle",
    "k": "statement",
    "m": [
      "05A19"
    ],
    "u": "/wiki/bijection-principle/"
  },
  {
    "t": "0GVDFAY4KW",
    "n": "Disjunctive normal form",
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/disjunctive-normal-form/"
  },
  {
    "t": "0GVMR0C3S6",
    "n": "Moment of inertia",
    "k": "definition",
    "m": [
      "26B15",
      "70E15"
    ],
    "u": "/wiki/moment-of-inertia-definition/"
  },
  {
    "t": "0GW1ZZH0R4",
    "n": "Fundamental theorem of symmetric polynomials",
    "k": "statement",
    "m": [
      "05E05"
    ],
    "u": "/wiki/fundamental-theorem-of-symmetric-polynomials/"
  },
  {
    "t": "0GWD21EWRW",
    "n": "Hyperbolic sine",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-sine-definition/"
  },
  {
    "t": "0GWN3CMRK8",
    "n": "One-point compactification",
    "a": [
      "alexandroff-extension",
      "alexandroff-compactification"
    ],
    "k": "concept",
    "m": [
      "54D35"
    ],
    "u": "/wiki/one-point-compactification/"
  },
  {
    "t": "0GXA8Z205E",
    "n": "Area under a curve",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/area-under-a-curve/"
  },
  {
    "t": "0GXCXCX3QN",
    "n": "Integral of sine",
    "k": "statement",
    "m": [
      "26A36"
    ],
    "u": "/wiki/integral-of-sine/"
  },
  {
    "t": "0GXKM1R7E4",
    "n": "Telescoping series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/telescoping-series/"
  },
  {
    "t": "0GXMPDNYX3",
    "n": "Laurent series",
    "a": [
      "laurent-expansion"
    ],
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/laurent-series/"
  },
  {
    "t": "0GXNHEHQNA",
    "n": "Units of Z/nZ are the residues coprime to n",
    "k": "statement",
    "m": [
      "11A07",
      "20K01"
    ],
    "u": "/wiki/units-of-z-nz-are-the-residues-coprime-to-n/"
  },
  {
    "t": "0GYDV9FE98",
    "n": "Second derivative test in several variables",
    "a": [
      "second-partial-derivative-test"
    ],
    "k": "statement",
    "m": [
      "49K10"
    ],
    "u": "/wiki/second-derivative-test-in-several-variables/"
  },
  {
    "t": "0GYGHKX834",
    "n": "Commutative ring",
    "k": "definition",
    "m": [
      "13A99"
    ],
    "u": "/wiki/commutative-ring-definition/"
  },
  {
    "t": "0GYQK9NDJF",
    "n": "Cayley graph",
    "k": "concept",
    "m": [
      "05C25",
      "20F65"
    ],
    "u": "/wiki/cayley-graph/"
  },
  {
    "t": "0GZ3D8F921",
    "n": "Divergence theorem on a rectangle in the plane",
    "a": [
      "planar-divergence-theorem-rectangle"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/divergence-theorem-on-a-rectangle-in-the-plane/"
  },
  {
    "t": "0GZ6Y1H4RN",
    "n": "Ascending chain condition",
    "a": [
      "acc"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/ascending-chain-condition/"
  },
  {
    "t": "0GZB2SN0PH",
    "n": "Function space",
    "k": "example",
    "m": [
      "15A03",
      "46E99"
    ],
    "u": "/wiki/function-space/"
  },
  {
    "t": "0GZNSHMG4Q",
    "n": "Dirichlet integral",
    "k": "example",
    "m": [
      "26A42",
      "40A10"
    ],
    "u": "/wiki/dirichlet-integral/"
  },
  {
    "t": "0GZWXM2DKE",
    "n": "Characteristic equation",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/characteristic-equation/"
  },
  {
    "t": "0H11ZPX4ND",
    "n": "Conjugate subgroup",
    "k": "concept",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugate-subgroup/"
  },
  {
    "t": "0H1GN6P9R5",
    "n": "Fundamental matrix",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/fundamental-matrix/"
  },
  {
    "t": "0H1JFKE7H4",
    "n": "Hyperbolic sine",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-sine/"
  },
  {
    "t": "0H2EPRZC0D",
    "n": "Arithmetic function",
    "a": [
      "arithmetical-function",
      "number-theoretic-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/arithmetic-function-definition/"
  },
  {
    "t": "0H3W614GEC",
    "n": "Pseudometric space",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/pseudometric-space-definition/"
  },
  {
    "t": "0H3WZXCZNF",
    "n": "Semidirect product",
    "k": "concept",
    "m": [
      "20E22"
    ],
    "u": "/wiki/semidirect-product/"
  },
  {
    "t": "0H3YY8CPKH",
    "n": "Euclidean group",
    "k": "object",
    "m": [
      "20H15"
    ],
    "u": "/wiki/euclidean-group/"
  },
  {
    "t": "0H47DMFN3S",
    "n": "Inner automorphism",
    "a": [
      "conjugation-automorphism"
    ],
    "k": "definition",
    "m": [
      "20F28"
    ],
    "u": "/wiki/inner-automorphism-definition/"
  },
  {
    "t": "0H4KNNCHPY",
    "n": "Fundamental system of solutions",
    "a": [
      "fundamental-set-of-solutions"
    ],
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/fundamental-system-of-solutions-definition/"
  },
  {
    "t": "0H4R3RESGV",
    "n": "Limit inferior",
    "a": [
      "liminf"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limit-inferior-definition/"
  },
  {
    "t": "0H5GKDTB01",
    "n": "Disjunction",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/disjunction-definition/"
  },
  {
    "t": "0H5J02P8S9",
    "n": "Upper bound",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/upper-bound-definition/"
  },
  {
    "t": "0H5MR9B6GT",
    "n": "Line integral of a vector field",
    "a": [
      "work-integral",
      "circulation-integral"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/line-integral-of-a-vector-field/"
  },
  {
    "t": "0H5SYBSED9",
    "n": "Gamma function",
    "k": "concept",
    "m": [
      "33B15"
    ],
    "u": "/wiki/gamma-function/"
  },
  {
    "t": "0H5WWC8RZX",
    "n": "The order of a finite field is a prime power",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/the-order-of-a-finite-field-is-a-prime-power/"
  },
  {
    "t": "0H5ZAZCX2T",
    "n": "Taylor's theorem with the Lagrange remainder",
    "k": "statement",
    "m": [
      "41A80"
    ],
    "u": "/wiki/taylors-theorem-with-the-lagrange-remainder/"
  },
  {
    "t": "0H60H1Q0SX",
    "n": "Changing the order of integration",
    "a": [
      "reversing-order-of-integration"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/changing-the-order-of-integration/"
  },
  {
    "t": "0H628RSGWX",
    "n": "Algebraic element",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraic-element/"
  },
  {
    "t": "0H631CZP5K",
    "n": "Galton–Watson process",
    "k": "definition",
    "m": [
      "60J80"
    ],
    "u": "/wiki/galton-watson-process-definition/"
  },
  {
    "t": "0H6DP8CHND",
    "n": "Del operator",
    "a": [
      "nabla",
      "del"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/del-operator/"
  },
  {
    "t": "0H6KWAYS87",
    "n": "Product of power series",
    "k": "statement",
    "m": [
      "13F25"
    ],
    "u": "/wiki/product-of-power-series/"
  },
  {
    "t": "0H7C3T1GJY",
    "n": "Scalar potential",
    "a": [
      "potential-function"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/scalar-potential/"
  },
  {
    "t": "0H8H7ZTHW2",
    "n": "Cumulative distribution function",
    "a": [
      "cdf",
      "distribution-function"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/cumulative-distribution-function/"
  },
  {
    "t": "0H8Q4MANBD",
    "n": "Every finite tree with at least two vertices has a leaf",
    "k": "statement",
    "m": [
      "05C05"
    ],
    "u": "/wiki/every-finite-tree-with-at-least-two-vertices-has-a-leaf/"
  },
  {
    "t": "0H8SZFFDXJ",
    "n": "Rule of Sarrus",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/rule-of-sarrus/"
  },
  {
    "t": "0H97Q4Z2SF",
    "n": "Plane",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/plane-definition/"
  },
  {
    "t": "0H9K5D3RDV",
    "n": "Abelianisation",
    "k": "definition",
    "m": [
      "20F12"
    ],
    "u": "/wiki/abelianisation-definition/"
  },
  {
    "t": "0HATW2VWAZ",
    "n": "Rectifiable curve",
    "a": [
      "curve-of-finite-length"
    ],
    "k": "concept",
    "m": [
      "26A45"
    ],
    "u": "/wiki/rectifiable-curve/"
  },
  {
    "t": "0HAZEFH137",
    "n": "Interior is the largest open subset",
    "k": "statement",
    "m": [
      "54A05"
    ],
    "u": "/wiki/interior-is-the-largest-open-subset/"
  },
  {
    "t": "0HB0XKDXHH",
    "n": "Binomial series",
    "k": "example",
    "m": [
      "30B10"
    ],
    "u": "/wiki/binomial-series/"
  },
  {
    "t": "0HB8SXHPFA",
    "n": "Markov property",
    "k": "definition",
    "m": [
      "60J05"
    ],
    "u": "/wiki/markov-property-definition/"
  },
  {
    "t": "0HBQC2GJXT",
    "n": "Limit point",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/limit-point-definition/"
  },
  {
    "t": "0HBRW4E6G1",
    "n": "Intersection",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/intersection-definition/"
  },
  {
    "t": "0HBS1F00DN",
    "n": "Induction on the integers",
    "k": "statement",
    "m": [
      "11A99"
    ],
    "u": "/wiki/induction-on-the-integers/"
  },
  {
    "t": "0HBY48G8G1",
    "n": "Riemann sum",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-sum-definition/"
  },
  {
    "t": "0HE5WDQ9FJ",
    "n": "Zermelo–Fraenkel set theory",
    "a": [
      "zf",
      "zfc",
      "zermelo-fraenkel"
    ],
    "k": "concept",
    "m": [
      "03E30"
    ],
    "u": "/wiki/zermelo-fraenkel-set-theory/"
  },
  {
    "t": "0HEF46RPEK",
    "n": "Union of open sets is open",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/union-of-open-sets-is-open/"
  },
  {
    "t": "0HESMMSYEG",
    "n": "Russell's paradox",
    "a": [
      "russell-paradox"
    ],
    "k": "statement",
    "m": [
      "03E30"
    ],
    "u": "/wiki/russells-paradox/"
  },
  {
    "t": "0HF30P75G4",
    "n": "Hamiltonian cycle",
    "k": "concept",
    "m": [
      "05C45"
    ],
    "u": "/wiki/hamiltonian-cycle/"
  },
  {
    "t": "0HFREYRSZP",
    "n": "Rotation",
    "k": "concept",
    "m": [
      "51F20"
    ],
    "u": "/wiki/rotation/"
  },
  {
    "t": "0HFSFVMWQB",
    "n": "Taylor polynomial",
    "k": "definition",
    "m": [
      "41A58"
    ],
    "u": "/wiki/taylor-polynomial-definition/"
  },
  {
    "t": "0HG11FW8MJ",
    "n": "First-countable space",
    "k": "definition",
    "m": [
      "54D70"
    ],
    "u": "/wiki/first-countable-space-definition/"
  },
  {
    "t": "0HGVCWQGY3",
    "n": "Pigeonhole principle",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/pigeonhole-principle/"
  },
  {
    "t": "0HH4Y7HSRQ",
    "n": "Sum of a series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sum-of-a-series/"
  },
  {
    "t": "0HH6JX5WZZ",
    "n": "Generating function",
    "k": "definition",
    "m": [
      "05A15"
    ],
    "u": "/wiki/generating-function-definition/"
  },
  {
    "t": "0HHHDCXZV4",
    "n": "Differentiable function of several variables",
    "a": [
      "differentiable-map",
      "totally-differentiable-function"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/differentiable-function-of-several-variables/"
  },
  {
    "t": "0HJ0HDA6W7",
    "n": "Solutions for distinct real roots",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/solutions-for-distinct-real-roots/"
  },
  {
    "t": "0HJ28H9Y95",
    "n": "Thomae's function",
    "a": [
      "popcorn-function"
    ],
    "k": "example",
    "m": [
      "26A15"
    ],
    "u": "/wiki/thomaes-function/"
  },
  {
    "t": "0HJ4DTW6FN",
    "n": "Second isomorphism theorem for rings",
    "k": "statement",
    "m": [
      "16D25"
    ],
    "u": "/wiki/second-isomorphism-theorem-for-rings/"
  },
  {
    "t": "0HJHYMGN3C",
    "n": "Discrete logarithm",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/discrete-logarithm/"
  },
  {
    "t": "0HKXNG2RS1",
    "n": "Hamiltonian cycle",
    "k": "definition",
    "m": [
      "05C45"
    ],
    "u": "/wiki/hamiltonian-cycle-definition/"
  },
  {
    "t": "0HM05N3FJD",
    "n": "Random experiment",
    "a": [
      "experiment",
      "trial"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/random-experiment/"
  },
  {
    "t": "0HM0HQCK6N",
    "n": "Distributive lattice",
    "k": "concept",
    "m": [
      "06D05"
    ],
    "u": "/wiki/distributive-lattice/"
  },
  {
    "t": "0HM584C465",
    "n": "RSA cryptosystem",
    "a": [
      "rivest-shamir-adleman"
    ],
    "k": "example",
    "m": [
      "94A60"
    ],
    "u": "/wiki/rsa-cryptosystem/"
  },
  {
    "t": "0HM732ZNVC",
    "n": "A sequence converges iff its liminf and limsup agree",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/a-sequence-converges-iff-its-liminf-and-limsup-agree/"
  },
  {
    "t": "0HNATXFEV5",
    "n": "Order on the natural numbers",
    "k": "concept",
    "m": [
      "03F30"
    ],
    "u": "/wiki/order-on-the-natural-numbers/"
  },
  {
    "t": "0HNK6KT05K",
    "n": "Centre of mass",
    "a": [
      "center-of-mass",
      "centroid"
    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/centre-of-mass/"
  },
  {
    "t": "0HNMFG8F8K",
    "n": "Eigenvectors with distinct eigenvalues are linearly independent",
    "k": "statement",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvectors-with-distinct-eigenvalues-are-linearly-independent/"
  },
  {
    "t": "0HPHKCGEQ0",
    "n": "Generalised Stokes theorem",
    "a": [
      "stokes-cartan-theorem"
    ],
    "k": "statement",
    "m": [
      "58C35"
    ],
    "u": "/wiki/generalised-stokes-theorem/"
  },
  {
    "t": "0HQARMKEV5",
    "n": "Archimedean ordered field",
    "k": "definition",
    "m": [
      "12J15"
    ],
    "u": "/wiki/archimedean-ordered-field-definition/"
  },
  {
    "t": "0HQFZAP3ND",
    "n": "Coefficient matrix",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/coefficient-matrix/"
  },
  {
    "t": "0HR3N02317",
    "n": "Green's theorem",
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/greens-theorem/"
  },
  {
    "t": "0HR573CHNM",
    "n": "Linear span",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-span-definition/"
  },
  {
    "t": "0HRJ2Y74T3",
    "n": "Rearrangement of a series",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/rearrangement-of-a-series-definition/"
  },
  {
    "t": "0HRVY67CNV",
    "n": "Solutions for repeated roots",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/solutions-for-repeated-roots/"
  },
  {
    "t": "0HTGB13FE2",
    "n": "Axiom of choice",
    "a": [
      "ac",
      "axiom-of-choice"
    ],
    "k": "statement",
    "m": [
      "03E25"
    ],
    "u": "/wiki/axiom-of-choice/"
  },
  {
    "t": "0HV01NH20W",
    "n": "Reduced residue system",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/reduced-residue-system/"
  },
  {
    "t": "0HV1SKWPMS",
    "n": "Rouché–Capelli theorem",
    "a": [
      "kronecker-capelli-theorem"
    ],
    "k": "statement",
    "m": [
      "15A06"
    ],
    "u": "/wiki/rouche-capelli-theorem/"
  },
  {
    "t": "0HV9Y7WG5R",
    "n": "Group homomorphism",
    "a": [
      "homomorphism-of-groups"
    ],
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/group-homomorphism-definition/"
  },
  {
    "t": "0HVX863SAJ",
    "n": "Eccentricity",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/eccentricity/"
  },
  {
    "t": "0HW7BNHHGF",
    "n": "Limit comparison test",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limit-comparison-test/"
  },
  {
    "t": "0HX8HZ1WTQ",
    "n": "Gram matrix",
    "k": "definition",
    "m": [
      "15A63",
      "15B57"
    ],
    "u": "/wiki/gram-matrix-definition/"
  },
  {
    "t": "0HXEX0DPRA",
    "n": "One-sided derivative",
    "a": [
      "left-derivative",
      "right-derivative"
    ],
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/one-sided-derivative-definition/"
  },
  {
    "t": "0HY15D6WTX",
    "n": "Finitely generated group",
    "k": "definition",
    "m": [
      "20F05"
    ],
    "u": "/wiki/finitely-generated-group-definition/"
  },
  {
    "t": "0HY1MXMEN9",
    "n": "Totient of a prime",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/totient-of-a-prime/"
  },
  {
    "t": "0HYC2RHD3M",
    "n": "Eigenvalues of a positive definite matrix are positive",
    "k": "statement",
    "m": [
      "15B57",
      "15A18"
    ],
    "u": "/wiki/eigenvalues-of-a-positive-definite-matrix-are-positive/"
  },
  {
    "t": "0HYFEEZAEM",
    "n": "Injective iff it has a left inverse",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/injective-iff-it-has-a-left-inverse/"
  },
  {
    "t": "0HYFWKKY3C",
    "n": "Polar form of a quadratic form",
    "k": "concept",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/polar-form-of-a-quadratic-form/"
  },
  {
    "t": "0HYNZE940T",
    "n": "Modulus is multiplicative",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/modulus-is-multiplicative/"
  },
  {
    "t": "0HYP606RYF",
    "n": "Student's t-test",
    "a": [
      "t-test",
      "students-t-test",
      "one-sample-t-test",
      "two-sample-t-test"
    ],
    "k": "concept",
    "m": [
      "62F03"
    ],
    "u": "/wiki/students-t-test/"
  },
  {
    "t": "0HYPR64JM2",
    "n": "Mean value property",
    "a": [
      "mean-value-property-of-harmonic-functions",
      "gauss-mean-value-theorem"
    ],
    "k": "statement",
    "m": [
      "31A05"
    ],
    "u": "/wiki/mean-value-property/"
  },
  {
    "t": "0HYRJF4WNQ",
    "n": "Norm of a Gaussian integer",
    "k": "concept",
    "m": [
      "11R11"
    ],
    "u": "/wiki/norm-of-a-gaussian-integer/"
  },
  {
    "t": "0HYV2NME07",
    "n": "Hamiltonian graph",
    "k": "concept",
    "m": [
      "05C45"
    ],
    "u": "/wiki/hamiltonian-graph/"
  },
  {
    "t": "0HZNE5QZDJ",
    "n": "Quadratic form",
    "k": "definition",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/quadratic-form-definition/"
  },
  {
    "t": "0J0BBCMJ5W",
    "n": "Pivot",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/pivot/"
  },
  {
    "t": "0J0FCWV32D",
    "n": "Exponential function",
    "k": "concept",
    "m": [
      "33B10",
      "26A09"
    ],
    "u": "/wiki/exponential-function/"
  },
  {
    "t": "0J0QEN1DZR",
    "n": "Reduced residue system",
    "a": [
      "reduced-system-of-residues"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/reduced-residue-system-definition/"
  },
  {
    "t": "0J0SK5FF4M",
    "n": "Quotient map",
    "k": "definition",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/quotient-map-definition/"
  },
  {
    "t": "0J0XBKG64S",
    "n": "Proof by contradiction",
    "a": [
      "reductio-ad-absurdum",
      "indirect-proof"
    ],
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/proof-by-contradiction/"
  },
  {
    "t": "0J1E5ZRZRM",
    "n": "Fixed field",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/fixed-field/"
  },
  {
    "t": "0J1N3WTKM4",
    "n": "Euclidean isometry",
    "a": [
      "rigid-transformation",
      "euclidean-transformation"
    ],
    "k": "concept",
    "m": [
      "51F20"
    ],
    "u": "/wiki/euclidean-isometry/"
  },
  {
    "t": "0J1R5NP36S",
    "n": "Liouville number",
    "k": "definition",
    "m": [
      "11J81"
    ],
    "u": "/wiki/liouville-number-definition/"
  },
  {
    "t": "0J1TT091TN",
    "n": "Solutions of Pell's equation are powers of the fundamental solution",
    "k": "statement",
    "m": [
      "11D09"
    ],
    "u": "/wiki/solutions-of-pells-equation-are-powers-of-the-fundamental-solution/"
  },
  {
    "t": "0J29GM30Z7",
    "n": "Existence of nth roots by the intermediate value theorem",
    "k": "example",
    "m": [
      "26A15"
    ],
    "u": "/wiki/existence-of-nth-roots-by-the-intermediate-value-theorem/"
  },
  {
    "t": "0J2C7BDJQA",
    "n": "Polar decomposition",
    "k": "statement",
    "m": [
      "15A23"
    ],
    "u": "/wiki/polar-decomposition/"
  },
  {
    "t": "0J2WAR83WP",
    "n": "Inverse function",
    "a": [
      "inverse-map"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/inverse-function/"
  },
  {
    "t": "0J3578562S",
    "n": "Equivalent norms",
    "k": "definition",
    "m": [
      "46B20"
    ],
    "u": "/wiki/equivalent-norms-definition/"
  },
  {
    "t": "0J3K4Y1KPD",
    "n": "Cycle type",
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/cycle-type/"
  },
  {
    "t": "0J438GAC8K",
    "n": "Conjugacy classes of the symmetric group correspond to cycle types",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/conjugacy-classes-of-the-symmetric-group-correspond-to-cycle-types/"
  },
  {
    "t": "0J53NE674D",
    "n": "The symmetric group on five or more letters is not solvable",
    "k": "statement",
    "m": [
      "20F16",
      "20B30"
    ],
    "u": "/wiki/the-symmetric-group-on-five-or-more-letters-is-not-solvable/"
  },
  {
    "t": "0J5EMJRRFM",
    "n": "Characteristic polynomial of a linear map",
    "k": "concept",
    "m": [
      "15A04",
      "15A18"
    ],
    "u": "/wiki/characteristic-polynomial-of-a-linear-map/"
  },
  {
    "t": "0J5VGJYYC3",
    "n": "Congruence is compatible with powers",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/congruence-is-compatible-with-powers/"
  },
  {
    "t": "0J5XR7BW2S",
    "n": "Intersecting secants theorem",
    "a": [
      "secant-theorem"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/intersecting-secants-theorem/"
  },
  {
    "t": "0J6A752DTZ",
    "n": "Lyapunov's stability theorem",
    "a": [
      "lyapunov-direct-method"
    ],
    "k": "statement",
    "m": [
      "34D20"
    ],
    "u": "/wiki/lyapunovs-stability-theorem/"
  },
  {
    "t": "0J6AKYZQT8",
    "n": "Associativity of composition",
    "a": [
      "composition-is-associative"
    ],
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/associativity-of-composition/"
  },
  {
    "t": "0J6G5NJC5R",
    "n": "Kuratowski's theorem",
    "k": "statement",
    "m": [
      "05C10"
    ],
    "u": "/wiki/kuratowskis-theorem/"
  },
  {
    "t": "0J6M03WSS6",
    "n": "Hyperbolic functions",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-functions-definition/"
  },
  {
    "t": "0J6Z6H5VQJ",
    "n": "Discrete random variable",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/discrete-random-variable-definition/"
  },
  {
    "t": "0J768YF1ZE",
    "n": "Nine-point circle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/nine-point-circle-definition/"
  },
  {
    "t": "0J76TP9FGD",
    "n": "Rearrangements of an absolutely convergent series have the same sum",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/rearrangements-of-an-absolutely-convergent-series-have-the-same-sum/"
  },
  {
    "t": "0J78KBPFZB",
    "n": "Riemann sphere",
    "a": [
      "extended-complex-plane",
      "extended-complex-numbers"
    ],
    "k": "concept",
    "m": [
      "30F10"
    ],
    "u": "/wiki/riemann-sphere/"
  },
  {
    "t": "0J7H0YBFDJ",
    "n": "Endomorphism",
    "a": [
      "linear-operator"
    ],
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/endomorphism/"
  },
  {
    "t": "0J7HF2PF1H",
    "n": "Picard–Lindelöf hypotheses",
    "k": "definition",
    "m": [
      "34A12"
    ],
    "u": "/wiki/picard-lindelof-hypotheses-definition/"
  },
  {
    "t": "0J7PHRBNNS",
    "n": "Logarithm of a quotient",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/logarithm-of-a-quotient/"
  },
  {
    "t": "0J817RTVG6",
    "n": "Primitive root of unity",
    "k": "definition",
    "m": [
      "11R18"
    ],
    "u": "/wiki/primitive-root-of-unity-definition/"
  },
  {
    "t": "0J87V9K1GE",
    "n": "Sperner's theorem",
    "k": "statement",
    "m": [
      "05D05"
    ],
    "u": "/wiki/sperners-theorem/"
  },
  {
    "t": "0J8ANSYKAC",
    "n": "Composition of an integer",
    "k": "definition",
    "m": [
      "05A17"
    ],
    "u": "/wiki/composition-of-an-integer-definition/"
  },
  {
    "t": "0J8T4K4YTE",
    "n": "Taylor's theorem in several variables",
    "a": [
      "multivariate-taylor-theorem"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/taylors-theorem-in-several-variables/"
  },
  {
    "t": "0J8XE7W68F",
    "n": "Reachability",
    "k": "definition",
    "m": [
      "05C40"
    ],
    "u": "/wiki/reachability-definition/"
  },
  {
    "t": "0J8Y1NCY0K",
    "n": "Limit of a function of several variables",
    "a": [
      "multivariable-limit"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/limit-of-a-function-of-several-variables/"
  },
  {
    "t": "0J97P5KZY0",
    "n": "Bernoulli distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/bernoulli-distribution-definition/"
  },
  {
    "t": "0J9TVTNB4K",
    "n": "Determinant of a block triangular matrix",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-block-triangular-matrix/"
  },
  {
    "t": "0JAEHXTVV5",
    "n": "Riemann sum",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-sum/"
  },
  {
    "t": "0JARTXX4XP",
    "n": "Euler method",
    "a": [
      "forward-euler-method",
      "explicit-euler-method"
    ],
    "k": "concept",
    "m": [
      "65L05",
      "65L20"
    ],
    "u": "/wiki/euler-method/"
  },
  {
    "t": "0JB228DCWB",
    "n": "Image of a linear map",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/image-of-a-linear-map-definition/"
  },
  {
    "t": "0JB3DP1BMF",
    "n": "Linear combination",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-combination-definition/"
  },
  {
    "t": "0JBJYT69ZV",
    "n": "Graph of a function",
    "a": [
      "function-graph"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/graph-of-a-function/"
  },
  {
    "t": "0JBMYAA9QH",
    "n": "Ratio formula for the radius of convergence",
    "k": "statement",
    "m": [
      "30B10"
    ],
    "u": "/wiki/ratio-formula-for-the-radius-of-convergence/"
  },
  {
    "t": "0JC5X4HWR2",
    "n": "Vector calculus identities",
    "a": [
      "product-rules-for-grad-div-curl"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/vector-calculus-identities/"
  },
  {
    "t": "0JCQGPY8Z4",
    "n": "Stirling numbers of the second kind",
    "k": "concept",
    "m": [
      "11B73"
    ],
    "u": "/wiki/stirling-numbers-of-the-second-kind/"
  },
  {
    "t": "0JCSQNNP2M",
    "n": "Converse relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/converse-relation-definition/"
  },
  {
    "t": "0JD5C82QMB",
    "n": "Graph",
    "k": "definition",
    "m": [
      "05C99"
    ],
    "u": "/wiki/graph-definition/"
  },
  {
    "t": "0JD5ZNW0F4",
    "n": "Analytic function",
    "a": [
      "real-analytic-function"
    ],
    "k": "definition",
    "m": [
      "26E05"
    ],
    "u": "/wiki/analytic-function-definition/"
  },
  {
    "t": "0JDAQHWA9N",
    "n": "Convergence in distribution",
    "k": "definition",
    "m": [
      "60F05"
    ],
    "u": "/wiki/convergence-in-distribution-definition/"
  },
  {
    "t": "0JDB8YJBSR",
    "n": "Triangle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/triangle-definition/"
  },
  {
    "t": "0JDE56HWQ8",
    "n": "Path",
    "k": "definition",
    "m": [
      "05C38"
    ],
    "u": "/wiki/path-definition/"
  },
  {
    "t": "0JEJATBVD7",
    "n": "Continuity in R^n",
    "a": [
      "continuous-function-of-several-variables",
      "multivariable-continuity"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/continuity-in-r-n/"
  },
  {
    "t": "0JEJJCB0EX",
    "n": "Sign is a homomorphism",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/sign-is-a-homomorphism/"
  },
  {
    "t": "0JEVZAFDY6",
    "n": "The cumulative distribution function determines the distribution",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/the-cumulative-distribution-function-determines-the-distribution/"
  },
  {
    "t": "0JF0TVYGWT",
    "n": "Affine map",
    "a": [
      "affine-transformation"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-map/"
  },
  {
    "t": "0JF1XXGWB4",
    "n": "Parametrised curve",
    "k": "definition",
    "m": [
      "53A04"
    ],
    "u": "/wiki/parametrised-curve-definition/"
  },
  {
    "t": "0JF9KW2TXB",
    "n": "Regular space",
    "k": "definition",
    "m": [
      "54D15"
    ],
    "u": "/wiki/regular-space-definition/"
  },
  {
    "t": "0JFGKKWWFK",
    "n": "Residue",
    "k": "definition",
    "m": [
      "30E20"
    ],
    "u": "/wiki/residue-definition/"
  },
  {
    "t": "0JG1KZSPFZ",
    "n": "Turán's theorem",
    "k": "statement",
    "m": [
      "05C35"
    ],
    "u": "/wiki/turans-theorem/"
  },
  {
    "t": "0JG9W3KA6B",
    "n": "Connected component",
    "k": "concept",
    "m": [
      "05C40"
    ],
    "u": "/wiki/connected-component/"
  },
  {
    "t": "0JGB7A6GTS",
    "n": "Rank of a linear map",
    "k": "definition",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/rank-of-a-linear-map-definition/"
  },
  {
    "t": "0JGEQXQ4AC",
    "n": "Presentation of a group",
    "k": "concept",
    "m": [
      "20F05"
    ],
    "u": "/wiki/presentation-of-a-group/"
  },
  {
    "t": "0JGZCDT5DN",
    "n": "Space of polynomials of bounded degree",
    "k": "example",
    "m": [
      "15A03"
    ],
    "u": "/wiki/space-of-polynomials-of-bounded-degree/"
  },
  {
    "t": "0JH4MN4K1C",
    "n": "Series",
    "a": [
      "infinite-series"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/series-definition/"
  },
  {
    "t": "0JHGAV9H25",
    "n": "Eigenspaces of a self-adjoint operator are orthogonal",
    "k": "statement",
    "m": [
      "47B15",
      "15A18"
    ],
    "u": "/wiki/eigenspaces-of-a-self-adjoint-operator-are-orthogonal/"
  },
  {
    "t": "0JHM6JK7FD",
    "n": "The ring of integers",
    "k": "example",
    "m": [
      "13A99"
    ],
    "u": "/wiki/the-ring-of-integers/"
  },
  {
    "t": "0JHXPVFKT0",
    "n": "Exponential generating function",
    "k": "concept",
    "m": [
      "05A15"
    ],
    "u": "/wiki/exponential-generating-function/"
  },
  {
    "t": "0JJ6GDDE7Z",
    "n": "Underdamped",
    "k": "concept",
    "m": [
      "70J30"
    ],
    "u": "/wiki/underdamped/"
  },
  {
    "t": "0JJ9J1XZ8G",
    "n": "Boundary",
    "k": "definition",
    "m": [
      "54A05"
    ],
    "u": "/wiki/boundary-definition/"
  },
  {
    "t": "0JJRENWMP6",
    "n": "Cauchy's estimates",
    "a": [
      "cauchy-inequalities",
      "cauchy-estimate"
    ],
    "k": "statement",
    "m": [
      "30A10"
    ],
    "u": "/wiki/cauchys-estimates/"
  },
  {
    "t": "0JJV80RXHD",
    "n": "Abelian simple groups have prime order",
    "k": "statement",
    "m": [
      "20E32",
      "20K01"
    ],
    "u": "/wiki/abelian-simple-groups-have-prime-order/"
  },
  {
    "t": "0JK6M18QZH",
    "n": "Kronecker product",
    "k": "definition",
    "m": [
      "15A69"
    ],
    "u": "/wiki/kronecker-product-definition/"
  },
  {
    "t": "0JKW7W7XFR",
    "n": "Combinatorics",
    "k": "concept",
    "m": [
      "05A99"
    ],
    "u": "/wiki/combinatorics/"
  },
  {
    "t": "0JM7PA288B",
    "n": "Cauchy's theorem",
    "a": [
      "cauchys-theorem-group-theory"
    ],
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/cauchys-theorem/"
  },
  {
    "t": "0JMR2HM2N2",
    "n": "Logical equivalence",
    "a": [
      "logically-equivalent"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/logical-equivalence/"
  },
  {
    "t": "0JMTY8MF54",
    "n": "Sum of subspaces",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/sum-of-subspaces/"
  },
  {
    "t": "0JN0SQG2JH",
    "n": "Kernel of a ring homomorphism",
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/kernel-of-a-ring-homomorphism/"
  },
  {
    "t": "0JN9P4A944",
    "n": "Sample variance",
    "k": "definition",
    "m": [
      "62F10"
    ],
    "u": "/wiki/sample-variance-definition/"
  },
  {
    "t": "0JNCBFMPXR",
    "n": "Lindemann–Weierstrass theorem",
    "k": "statement",
    "m": [
      "11J81"
    ],
    "u": "/wiki/lindemann-weierstrass-theorem/"
  },
  {
    "t": "0JNMJEDD93",
    "n": "Convolution theorem for the Laplace transform",
    "k": "statement",
    "m": [
      "44A10",
      "44A35"
    ],
    "u": "/wiki/convolution-theorem-for-the-laplace-transform/"
  },
  {
    "t": "0JNXSS9TJ9",
    "n": "Universal set",
    "a": [
      "universe-of-discourse"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/universal-set/"
  },
  {
    "t": "0JP0W07Y9A",
    "n": "Fundamental theorem of algebra",
    "a": [
      "dalembert-gauss-theorem",
      "dalemberts-theorem"
    ],
    "k": "statement",
    "m": [
      "12D10"
    ],
    "u": "/wiki/fundamental-theorem-of-algebra/"
  },
  {
    "t": "0JP0ZF57PN",
    "n": "Kőnig's theorem",
    "k": "statement",
    "m": [
      "05C70"
    ],
    "u": "/wiki/konigs-theorem/"
  },
  {
    "t": "0JPCHTXWG0",
    "n": "Function of several variables",
    "a": [
      "multivariable-function",
      "function-of-several-real-variables"
    ],
    "k": "concept",
    "m": [
      "26B99"
    ],
    "u": "/wiki/function-of-several-variables/"
  },
  {
    "t": "0JPDTEDCFD",
    "n": "Subgroups of abelian groups are normal",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/subgroups-of-abelian-groups-are-normal/"
  },
  {
    "t": "0JPH2Y4DFV",
    "n": "Central binomial coefficient",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/central-binomial-coefficient/"
  },
  {
    "t": "0JPYSD5E0B",
    "n": "Order of an element",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-an-element-definition/"
  },
  {
    "t": "0JQ1KNQW2K",
    "n": "Order of the general linear group over a finite field",
    "k": "statement",
    "m": [
      "20G40"
    ],
    "u": "/wiki/order-of-the-general-linear-group-over-a-finite-field/"
  },
  {
    "t": "0JQ5Y3WWVE",
    "n": "Alternating harmonic series",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/alternating-harmonic-series/"
  },
  {
    "t": "0JQE130DHW",
    "n": "Weierstrass approximation theorem",
    "k": "statement",
    "m": [
      "41A10"
    ],
    "u": "/wiki/weierstrass-approximation-theorem/"
  },
  {
    "t": "0JQWWFCS9R",
    "n": "Ordered pair",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/ordered-pair-definition/"
  },
  {
    "t": "0JRC32D6K2",
    "n": "Multiplication of natural numbers",
    "k": "definition",
    "m": [
      "03F30"
    ],
    "u": "/wiki/multiplication-of-natural-numbers-definition/"
  },
  {
    "t": "0JRW4X1MDC",
    "n": "Inverse Laplace transform",
    "k": "definition",
    "m": [
      "44A10"
    ],
    "u": "/wiki/inverse-laplace-transform-definition/"
  },
  {
    "t": "0JT92VK307",
    "n": "Bernstein polynomial",
    "k": "concept",
    "m": [
      "41A10"
    ],
    "u": "/wiki/bernstein-polynomial/"
  },
  {
    "t": "0JTC045NNZ",
    "n": "Legendre symbol",
    "k": "concept",
    "m": [
      "11A15"
    ],
    "u": "/wiki/legendre-symbol/"
  },
  {
    "t": "0JTGRV4WT4",
    "n": "Cardinality",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinality-definition/"
  },
  {
    "t": "0JTPMCCZT2",
    "n": "Estimate for approximate solutions",
    "k": "statement",
    "m": [
      "34A12",
      "34A45"
    ],
    "u": "/wiki/estimate-for-approximate-solutions/"
  },
  {
    "t": "0JTRMBQ1SA",
    "n": "System of linear equations",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/system-of-linear-equations-definition/"
  },
  {
    "t": "0JTRSJKCFB",
    "n": "Tychonoff's theorem",
    "a": [
      "tychonoff-theorem"
    ],
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/tychonoffs-theorem/"
  },
  {
    "t": "0JV30XN73Z",
    "n": "Integer partition",
    "k": "concept",
    "m": [
      "05A17"
    ],
    "u": "/wiki/integer-partition/"
  },
  {
    "t": "0JVJ2WCXZH",
    "n": "Gaussian elimination",
    "a": [
      "row-reduction"
    ],
    "k": "concept",
    "m": [
      "15A06",
      "65F05"
    ],
    "u": "/wiki/gaussian-elimination/"
  },
  {
    "t": "0JVSNJCN68",
    "n": "Split polynomial",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/split-polynomial/"
  },
  {
    "t": "0JW13B48YP",
    "n": "Vector projection",
    "a": [
      "orthogonal-projection-onto-a-vector"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/vector-projection/"
  },
  {
    "t": "0JW2FHW7G3",
    "n": "Existential quantifier",
    "k": "definition",
    "m": [
      "03B10"
    ],
    "u": "/wiki/existential-quantifier-definition/"
  },
  {
    "t": "0JW6MDHAZD",
    "n": "Saddle point",
    "a": [
      "minimax-point"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/saddle-point/"
  },
  {
    "t": "0JW7KT6PQW",
    "n": "Minimum spanning tree",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/minimum-spanning-tree/"
  },
  {
    "t": "0JWCX0TW2S",
    "n": "Concyclic points",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/concyclic-points-definition/"
  },
  {
    "t": "0JWM6GJNQW",
    "n": "An orthonormal family is linearly independent",
    "k": "statement",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/an-orthonormal-family-is-linearly-independent/"
  },
  {
    "t": "0JWMJSTBSG",
    "n": "Divergent series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/divergent-series/"
  },
  {
    "t": "0JWRJX2RMP",
    "n": "Bayesian inference",
    "a": [
      "bayesian-statistics",
      "bayesian-updating"
    ],
    "k": "concept",
    "m": [
      "62F15"
    ],
    "u": "/wiki/bayesian-inference/"
  },
  {
    "t": "0JWT4PPQ7B",
    "n": "L'Hôpital's rule",
    "a": [
      "lhopital-rule",
      "bernoulli-rule"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/lhopitals-rule/"
  },
  {
    "t": "0JWZX6FKSH",
    "n": "Sylow p-subgroup",
    "a": [
      "sylow-subgroup"
    ],
    "k": "definition",
    "m": [
      "20D20"
    ],
    "u": "/wiki/sylow-p-subgroup-definition/"
  },
  {
    "t": "0JX86PSSA9",
    "n": "Divergence theorem",
    "a": [
      "gauss-theorem",
      "gauss-ostrogradsky-theorem"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/divergence-theorem/"
  },
  {
    "t": "0JXTQ392ZM",
    "n": "Legendre's theorem on continued fractions",
    "k": "statement",
    "m": [
      "11J70"
    ],
    "u": "/wiki/legendres-theorem-on-continued-fractions/"
  },
  {
    "t": "0JXZKX526R",
    "n": "Square matrix",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/square-matrix/"
  },
  {
    "t": "0JYF6PTKEW",
    "n": "Lifting-the-exponent lemma",
    "a": [
      "lte-lemma"
    ],
    "k": "statement",
    "m": [
      "11A51"
    ],
    "u": "/wiki/lifting-the-exponent-lemma/"
  },
  {
    "t": "0JYTG5K9Y4",
    "n": "Group homomorphism",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/group-homomorphism/"
  },
  {
    "t": "0JZ27DMJ5D",
    "n": "Dihedral group",
    "k": "concept",
    "m": [
      "20B25"
    ],
    "u": "/wiki/dihedral-group/"
  },
  {
    "t": "0JZGW75C5Z",
    "n": "Power rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/power-rule/"
  },
  {
    "t": "0JZSRWRBZE",
    "n": "Combination",
    "k": "definition",
    "m": [
      "05A05"
    ],
    "u": "/wiki/combination-definition/"
  },
  {
    "t": "0JZY3R908H",
    "n": "Galois group of a polynomial",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-group-of-a-polynomial-definition/"
  },
  {
    "t": "0K06X9QXDX",
    "n": "Convex set",
    "k": "definition",
    "m": [
      "52A20"
    ],
    "u": "/wiki/convex-set-definition/"
  },
  {
    "t": "0K090GVHVN",
    "n": "Laplace transform of a derivative",
    "k": "statement",
    "m": [
      "44A10"
    ],
    "u": "/wiki/laplace-transform-of-a-derivative/"
  },
  {
    "t": "0K0A06X2MQ",
    "n": "Upper and lower Darboux sums",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/upper-and-lower-darboux-sums/"
  },
  {
    "t": "0K0GE6BCYW",
    "n": "Path-connected space",
    "k": "definition",
    "m": [
      "54D05"
    ],
    "u": "/wiki/path-connected-space-definition/"
  },
  {
    "t": "0K0H5E3Z5N",
    "n": "Sum of a series",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sum-of-a-series-definition/"
  },
  {
    "t": "0K1E2S6Z69",
    "n": "Distance from a point to a plane",
    "k": "statement",
    "m": [
      "51N20"
    ],
    "u": "/wiki/distance-from-a-point-to-a-plane/"
  },
  {
    "t": "0K1EWAR6AF",
    "n": "Lipschitz functions are uniformly continuous",
    "k": "statement",
    "m": [
      "26A16"
    ],
    "u": "/wiki/lipschitz-functions-are-uniformly-continuous/"
  },
  {
    "t": "0K1KKMFHYH",
    "n": "Determinant of a triangular matrix",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-triangular-matrix/"
  },
  {
    "t": "0K1N1Y4EGZ",
    "n": "Integral of 1/x",
    "k": "statement",
    "m": [
      "26A36"
    ],
    "u": "/wiki/integral-of-1-x/"
  },
  {
    "t": "0K1SCPBNKJ",
    "n": "Automorphism group",
    "k": "concept",
    "m": [
      "20F28"
    ],
    "u": "/wiki/automorphism-group/"
  },
  {
    "t": "0K26YKNBSA",
    "n": "Zero divisor",
    "k": "definition",
    "m": [
      "16U99"
    ],
    "u": "/wiki/zero-divisor-definition/"
  },
  {
    "t": "0K28YXMS7Q",
    "n": "Scalar multiplication of matrices",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/scalar-multiplication-of-matrices-definition/"
  },
  {
    "t": "0K2DMACEZ4",
    "n": "Brahmagupta–Fibonacci identity",
    "a": [
      "diophantus-identity"
    ],
    "k": "statement",
    "m": [
      "11E25"
    ],
    "u": "/wiki/brahmagupta-fibonacci-identity/"
  },
  {
    "t": "0K2FNY6DYV",
    "n": "Logarithm of a product",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/logarithm-of-a-product/"
  },
  {
    "t": "0K2TX12X58",
    "n": "Singular value",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/singular-value-definition/"
  },
  {
    "t": "0K387S2PKQ",
    "n": "Minkowski's theorem",
    "a": [
      "minkowski-convex-body-theorem"
    ],
    "k": "statement",
    "m": [
      "11H06"
    ],
    "u": "/wiki/minkowskis-theorem/"
  },
  {
    "t": "0K3HFZJK5Q",
    "n": "Solving initial value problems with the Laplace transform",
    "k": "concept",
    "m": [
      "44A10",
      "34A30"
    ],
    "u": "/wiki/solving-initial-value-problems-with-the-laplace-transform/"
  },
  {
    "t": "0K3MWA7DMC",
    "n": "Factor theorem",
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/factor-theorem/"
  },
  {
    "t": "0K3T4A659R",
    "n": "Topologist's sine curve",
    "a": [
      "warsaw-sine-curve"
    ],
    "k": "counterexample",
    "m": [
      "54G20"
    ],
    "u": "/wiki/topologists-sine-curve/"
  },
  {
    "t": "0K4NMMJBG2",
    "n": "Confidence interval",
    "k": "definition",
    "m": [
      "62F25"
    ],
    "u": "/wiki/confidence-interval-definition/"
  },
  {
    "t": "0K4VQB7HWR",
    "n": "Determinant of a matrix with two equal rows",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-matrix-with-two-equal-rows/"
  },
  {
    "t": "0K4WCNTMHG",
    "n": "Rayleigh quotient",
    "k": "definition",
    "m": [
      "15A18",
      "15A42"
    ],
    "u": "/wiki/rayleigh-quotient-definition/"
  },
  {
    "t": "0K4ZWTFSV5",
    "n": "Homogeneous first-order equation",
    "k": "definition",
    "m": [
      "34A05"
    ],
    "u": "/wiki/homogeneous-first-order-equation-definition/"
  },
  {
    "t": "0K57YG3BB8",
    "n": "Differentiable function",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/differentiable-function/"
  },
  {
    "t": "0K5TWJAGPD",
    "n": "Action by left multiplication",
    "k": "example",
    "m": [
      "20B05"
    ],
    "u": "/wiki/action-by-left-multiplication/"
  },
  {
    "t": "0K5W69AC0J",
    "n": "Gaussian integers",
    "k": "object",
    "m": [
      "11R11"
    ],
    "u": "/wiki/gaussian-integers/"
  },
  {
    "t": "0K665H5V1S",
    "n": "Matrix exponential",
    "k": "definition",
    "m": [
      "15A16"
    ],
    "u": "/wiki/matrix-exponential-definition/"
  },
  {
    "t": "0K67Q60Z8P",
    "n": "Complement of an open set is closed",
    "k": "statement",
    "m": [
      "54A05"
    ],
    "u": "/wiki/complement-of-an-open-set-is-closed/"
  },
  {
    "t": "0K6CH0MT0F",
    "n": "Alternating multilinear map",
    "k": "concept",
    "m": [
      "15A69",
      "15A75"
    ],
    "u": "/wiki/alternating-multilinear-map/"
  },
  {
    "t": "0K78D81EF7",
    "n": "Young diagram",
    "k": "definition",
    "m": [
      "05A17"
    ],
    "u": "/wiki/young-diagram-definition/"
  },
  {
    "t": "0K7P6PR838",
    "n": "Maclaurin series",
    "k": "concept",
    "m": [
      "41A58"
    ],
    "u": "/wiki/maclaurin-series/"
  },
  {
    "t": "0K7TD9BV2D",
    "n": "Idempotent matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/idempotent-matrix-definition/"
  },
  {
    "t": "0K83KEJ43P",
    "n": "Isolated zeros theorem",
    "a": [
      "principle-of-isolated-zeros",
      "zeros-are-isolated"
    ],
    "k": "statement",
    "m": [
      "30C15"
    ],
    "u": "/wiki/isolated-zeros-theorem/"
  },
  {
    "t": "0K8F7PVDMX",
    "n": "Associativity",
    "a": [
      "associative-property"
    ],
    "k": "concept",
    "m": [
      "08A02"
    ],
    "u": "/wiki/associativity/"
  },
  {
    "t": "0K8SGQSV7G",
    "n": "Compactness and sequential compactness agree in metric spaces",
    "k": "statement",
    "m": [
      "54E45"
    ],
    "u": "/wiki/compactness-and-sequential-compactness-agree-in-metric-spaces/"
  },
  {
    "t": "0K96Z2S699",
    "n": "Removable discontinuity",
    "k": "concept",
    "m": [
      "26A15"
    ],
    "u": "/wiki/removable-discontinuity/"
  },
  {
    "t": "0K98R7A4VC",
    "n": "Lower central series",
    "k": "concept",
    "m": [
      "20F14"
    ],
    "u": "/wiki/lower-central-series/"
  },
  {
    "t": "0K9AAJ8G51",
    "n": "Continuous image of a compact set is compact",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/continuous-image-of-a-compact-set-is-compact/"
  },
  {
    "t": "0K9GBTZ1FX",
    "n": "Parallelepiped",
    "k": "definition",
    "m": [
      "51M20"
    ],
    "u": "/wiki/parallelepiped-definition/"
  },
  {
    "t": "0K9HSJFCMJ",
    "n": "Inverse function theorem",
    "a": [
      "inverse-mapping-theorem"
    ],
    "k": "statement",
    "m": [
      "26B10"
    ],
    "u": "/wiki/inverse-function-theorem/"
  },
  {
    "t": "0K9QCK6WJC",
    "n": "General Leibniz rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/general-leibniz-rule/"
  },
  {
    "t": "0K9QVPJYJF",
    "n": "Ramsey number",
    "k": "concept",
    "m": [
      "05C55",
      "05D10"
    ],
    "u": "/wiki/ramsey-number/"
  },
  {
    "t": "0KA4S8R39M",
    "n": "Regular graph",
    "k": "definition",
    "m": [
      "05C07"
    ],
    "u": "/wiki/regular-graph-definition/"
  },
  {
    "t": "0KA7A4ENVJ",
    "n": "Determinant via the Schur complement",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-via-the-schur-complement/"
  },
  {
    "t": "0KABP2HWMQ",
    "n": "Upper and lower Darboux integrals",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/upper-and-lower-darboux-integrals/"
  },
  {
    "t": "0KABPMRHM2",
    "n": "Characteristic subgroup",
    "k": "concept",
    "m": [
      "20F28"
    ],
    "u": "/wiki/characteristic-subgroup/"
  },
  {
    "t": "0KAMF19NV8",
    "n": "Sum of binomial coefficients",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/sum-of-binomial-coefficients/"
  },
  {
    "t": "0KAN330PAH",
    "n": "Nondegenerate bilinear form",
    "k": "definition",
    "m": [
      "15A63"
    ],
    "u": "/wiki/nondegenerate-bilinear-form-definition/"
  },
  {
    "t": "0KB1ND7XDS",
    "n": "Subgroups of cyclic groups are cyclic",
    "k": "statement",
    "m": [
      "20K27"
    ],
    "u": "/wiki/subgroups-of-cyclic-groups-are-cyclic/"
  },
  {
    "t": "0KBEMAJAYA",
    "n": "Distributive law",
    "a": [
      "distributivity-of-multiplication-over-addition"
    ],
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/distributive-law/"
  },
  {
    "t": "0KBFAWYRTE",
    "n": "Covariance",
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/covariance/"
  },
  {
    "t": "0KBTP8Q2FS",
    "n": "Reduced word",
    "k": "concept",
    "m": [
      "20E05"
    ],
    "u": "/wiki/reduced-word/"
  },
  {
    "t": "0KC00K7KY4",
    "n": "Bernoulli number",
    "k": "concept",
    "m": [
      "11B68"
    ],
    "u": "/wiki/bernoulli-number/"
  },
  {
    "t": "0KC0F51T6A",
    "n": "Stirling's formula",
    "a": [
      "stirling-approximation"
    ],
    "k": "statement",
    "m": [
      "41A60",
      "05A10"
    ],
    "u": "/wiki/stirlings-formula/"
  },
  {
    "t": "0KC1NMG90B",
    "n": "Wronskian",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/wronskian/"
  },
  {
    "t": "0KCE8CG86P",
    "n": "Idempotent matrix",
    "a": [
      "projection-matrix"
    ],
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/idempotent-matrix/"
  },
  {
    "t": "0KCQ9Y3QKA",
    "n": "Basis",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/basis/"
  },
  {
    "t": "0KCT6DPXJK",
    "n": "Venn diagram",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/venn-diagram/"
  },
  {
    "t": "0KCYJSB9FW",
    "n": "Fundamental solution of Pell's equation",
    "k": "definition",
    "m": [
      "11D09"
    ],
    "u": "/wiki/fundamental-solution-of-pells-equation-definition/"
  },
  {
    "t": "0KDADE9RQ8",
    "n": "Vertex cover",
    "k": "definition",
    "m": [
      "05C70",
      "05C69"
    ],
    "u": "/wiki/vertex-cover-definition/"
  },
  {
    "t": "0KDJD249DT",
    "n": "Bolzano–Weierstrass theorem",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/bolzano-weierstrass-theorem/"
  },
  {
    "t": "0KE6NBTVY8",
    "n": "Exponential generating function",
    "k": "definition",
    "m": [
      "05A15"
    ],
    "u": "/wiki/exponential-generating-function-definition/"
  },
  {
    "t": "0KF3J2KAER",
    "n": "Classification of Pythagorean triples",
    "a": [
      "euclid-formula"
    ],
    "k": "statement",
    "m": [
      "11D09"
    ],
    "u": "/wiki/classification-of-pythagorean-triples/"
  },
  {
    "t": "0KFYGSHHF5",
    "n": "Directed graph",
    "k": "concept",
    "m": [
      "05C20"
    ],
    "u": "/wiki/directed-graph/"
  },
  {
    "t": "0KFZ0QX83G",
    "n": "The alternating group is generated by three-cycles",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/the-alternating-group-is-generated-by-three-cycles/"
  },
  {
    "t": "0KG4D8AP6G",
    "n": "Norm induced by an inner product",
    "k": "definition",
    "m": [
      "46C05"
    ],
    "u": "/wiki/norm-induced-by-an-inner-product-definition/"
  },
  {
    "t": "0KH1N66QWW",
    "n": "Dirichlet convolution",
    "a": [
      "dirichlet-product"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/dirichlet-convolution-definition/"
  },
  {
    "t": "0KJ7ZS8AJA",
    "n": "Posterior probability",
    "a": [
      "posterior",
      "posterior-distribution"
    ],
    "k": "concept",
    "m": [
      "62F15"
    ],
    "u": "/wiki/posterior-probability/"
  },
  {
    "t": "0KJH6SRFZK",
    "n": "Affine combination",
    "a": [
      "barycentre-of-weighted-points"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-combination/"
  },
  {
    "t": "0KJVQV3E0F",
    "n": "A polynomial over a field has at most as many roots as its degree",
    "k": "statement",
    "m": [
      "12E05"
    ],
    "u": "/wiki/a-polynomial-over-a-field-has-at-most-as-many-roots-as-its-degree/"
  },
  {
    "t": "0KJXHN0TW0",
    "n": "One-sided limits of a monotone function exist",
    "k": "statement",
    "m": [
      "26A48"
    ],
    "u": "/wiki/one-sided-limits-of-a-monotone-function-exist/"
  },
  {
    "t": "0KM2CJ80G7",
    "n": "Primitive root modulo n",
    "a": [
      "primitive-root"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/primitive-root-modulo-n-definition/"
  },
  {
    "t": "0KM4KVR9MV",
    "n": "Hausdorff maximal principle",
    "a": [
      "maximal-chain-principle"
    ],
    "k": "statement",
    "m": [
      "03E25"
    ],
    "u": "/wiki/hausdorff-maximal-principle/"
  },
  {
    "t": "0KMJ6919WS",
    "n": "Fixed field",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/fixed-field-definition/"
  },
  {
    "t": "0KMN32XGPF",
    "n": "Determinant of a linear map is the determinant of its matrix",
    "k": "statement",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-linear-map-is-the-determinant-of-its-matrix/"
  },
  {
    "t": "0KMVFSHFGZ",
    "n": "Strong induction",
    "a": [
      "complete-induction",
      "course-of-values-induction"
    ],
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/strong-induction/"
  },
  {
    "t": "0KN22AAW5R",
    "n": "Monotone sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/monotone-sequence-definition/"
  },
  {
    "t": "0KN2S81K72",
    "n": "Ring isomorphism",
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/ring-isomorphism/"
  },
  {
    "t": "0KN2V7840E",
    "n": "The exponential function is strictly increasing",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/the-exponential-function-is-strictly-increasing/"
  },
  {
    "t": "0KN7EPH7Z0",
    "n": "Restriction of an endomorphism to an invariant subspace",
    "k": "concept",
    "m": [
      "15A04",
      "47A15"
    ],
    "u": "/wiki/restriction-of-an-endomorphism-to-an-invariant-subspace/"
  },
  {
    "t": "0KN93VDSXA",
    "n": "Ceva's theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/cevas-theorem/"
  },
  {
    "t": "0KNAN9F27P",
    "n": "Maximum degree",
    "k": "definition",
    "m": [
      "05C07"
    ],
    "u": "/wiki/maximum-degree-definition/"
  },
  {
    "t": "0KNJWEVSMG",
    "n": "p-norm on R^n",
    "a": [
      "lp-norm-on-rn"
    ],
    "k": "example",
    "m": [
      "46B20"
    ],
    "u": "/wiki/p-norm-on-r-n/"
  },
  {
    "t": "0KP0QNXPRT",
    "n": "Homogeneous linear equation",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/homogeneous-linear-equation/"
  },
  {
    "t": "0KPHENZ5S7",
    "n": "Dirac delta function",
    "a": [
      "unit-impulse",
      "dirac-delta"
    ],
    "k": "object",
    "m": [
      "46F10"
    ],
    "u": "/wiki/dirac-delta-function/"
  },
  {
    "t": "0KQZYGEJTF",
    "n": "Signature of a quadratic form",
    "k": "definition",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/signature-of-a-quadratic-form-definition/"
  },
  {
    "t": "0KRH5157WP",
    "n": "Stationary distribution",
    "a": [
      "invariant-distribution",
      "steady-state-distribution"
    ],
    "k": "concept",
    "m": [
      "60J10"
    ],
    "u": "/wiki/stationary-distribution/"
  },
  {
    "t": "0KRMJRDRZT",
    "n": "Continuity at a point",
    "a": [
      "continuous-at-a-point"
    ],
    "k": "concept",
    "m": [
      "54C05"
    ],
    "u": "/wiki/continuity-at-a-point/"
  },
  {
    "t": "0KRVRV5V80",
    "n": "Symmetric bilinear form associated with a quadratic form",
    "k": "concept",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/symmetric-bilinear-form-associated-with-a-quadratic-form/"
  },
  {
    "t": "0KS0KRDV4Y",
    "n": "Degree of a vertex",
    "k": "concept",
    "m": [
      "05C07"
    ],
    "u": "/wiki/degree-of-a-vertex/"
  },
  {
    "t": "0KSM23SN3H",
    "n": "Nowhere dense set",
    "k": "definition",
    "m": [
      "54E52"
    ],
    "u": "/wiki/nowhere-dense-set-definition/"
  },
  {
    "t": "0KT8TGXD8K",
    "n": "Equivalence relation induced by a function",
    "a": [
      "kernel-of-a-function",
      "equivalence-kernel"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-relation-induced-by-a-function/"
  },
  {
    "t": "0KTGJW1ZTH",
    "n": "Jordan measure",
    "a": [
      "jordan-content",
      "peano-jordan-measure"
    ],
    "k": "concept",
    "m": [
      "28A75"
    ],
    "u": "/wiki/jordan-measure/"
  },
  {
    "t": "0KTW26C80J",
    "n": "Free group",
    "k": "concept",
    "m": [
      "20E05"
    ],
    "u": "/wiki/free-group/"
  },
  {
    "t": "0KVGH0J5B3",
    "n": "Cyclic group",
    "a": [
      "monogenous-group"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cyclic-group/"
  },
  {
    "t": "0KVQ9D86BM",
    "n": "Variance under scaling",
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/variance-under-scaling/"
  },
  {
    "t": "0KW2X0TFBX",
    "n": "Modulus of a complex number",
    "a": [
      "absolute-value-of-a-complex-number"
    ],
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/modulus-of-a-complex-number/"
  },
  {
    "t": "0KW3PN547K",
    "n": "Diameter of a set",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/diameter-of-a-set/"
  },
  {
    "t": "0KWFFMDF8T",
    "n": "Connected graph",
    "k": "concept",
    "m": [
      "05C40"
    ],
    "u": "/wiki/connected-graph/"
  },
  {
    "t": "0KWWEXW0RN",
    "n": "Reduction modulo p test for irreducibility",
    "k": "statement",
    "m": [
      "12E05"
    ],
    "u": "/wiki/reduction-modulo-p-test-for-irreducibility/"
  },
  {
    "t": "0KWXYZPJKN",
    "n": "Change of basis matrix",
    "k": "definition",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/change-of-basis-matrix-definition/"
  },
  {
    "t": "0KX1MXJ5MR",
    "n": "Radius of convergence of the binomial series",
    "k": "statement",
    "m": [
      "30B10"
    ],
    "u": "/wiki/radius-of-convergence-of-the-binomial-series/"
  },
  {
    "t": "0KX66CZMBB",
    "n": "Positive definite matrix",
    "k": "concept",
    "m": [
      "15B57",
      "15A63"
    ],
    "u": "/wiki/positive-definite-matrix/"
  },
  {
    "t": "0KXJTZSW9B",
    "n": "Usual metric on the real line",
    "a": [
      "absolute-difference"
    ],
    "k": "example",
    "m": [
      "54E35"
    ],
    "u": "/wiki/usual-metric-on-the-real-line/"
  },
  {
    "t": "0KXQKES075",
    "n": "Number of prime factors counted with multiplicity",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/number-of-prime-factors-counted-with-multiplicity/"
  },
  {
    "t": "0KXQKX9P63",
    "n": "Splitting field",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/splitting-field/"
  },
  {
    "t": "0KXSK8TEEB",
    "n": "Continuous partial derivatives imply differentiability",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/continuous-partial-derivatives-imply-differentiability/"
  },
  {
    "t": "0KY08TWDMQ",
    "n": "Derivative of x^a",
    "k": "statement",
    "m": [
      "26A24",
      "26A09"
    ],
    "u": "/wiki/derivative-of-x-a/"
  },
  {
    "t": "0KY7GS695G",
    "n": "Stirling numbers of the first kind",
    "k": "concept",
    "m": [
      "11B73"
    ],
    "u": "/wiki/stirling-numbers-of-the-first-kind/"
  },
  {
    "t": "0KYP951QWH",
    "n": "Discrete uniform distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/discrete-uniform-distribution-definition/"
  },
  {
    "t": "0KYX2N69J0",
    "n": "Quotient group",
    "a": [
      "factor-group"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/quotient-group/"
  },
  {
    "t": "0KYYSMEVHH",
    "n": "Lagrange's four-square theorem",
    "k": "statement",
    "m": [
      "11E25"
    ],
    "u": "/wiki/lagranges-four-square-theorem/"
  },
  {
    "t": "0KYZXYDGQZ",
    "n": "Quadratic formula",
    "k": "statement",
    "m": [
      "12D10"
    ],
    "u": "/wiki/quadratic-formula/"
  },
  {
    "t": "0KZDNGA561",
    "n": "Trace of a linear map",
    "k": "concept",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/trace-of-a-linear-map/"
  },
  {
    "t": "0KZJ82WEPP",
    "n": "Independent set",
    "k": "definition",
    "m": [
      "05C69"
    ],
    "u": "/wiki/independent-set-definition/"
  },
  {
    "t": "0KZZ70ZHXP",
    "n": "Diffeomorphism",
    "a": [
      "smooth-isomorphism"
    ],
    "k": "concept",
    "m": [
      "58C25"
    ],
    "u": "/wiki/diffeomorphism/"
  },
  {
    "t": "0M0H1ZH8TT",
    "n": "Antisymmetric relation",
    "a": [
      "antisymmetry"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/antisymmetric-relation/"
  },
  {
    "t": "0M0RZ3HSB0",
    "n": "Derivative of an inverse function",
    "a": [
      "inverse-function-rule"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative-of-an-inverse-function/"
  },
  {
    "t": "0M0SNKZ482",
    "n": "Block diagonal matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/block-diagonal-matrix-definition/"
  },
  {
    "t": "0M0TKFRX2A",
    "n": "Linearity of differentiation",
    "a": [
      "sum-rule-for-derivatives"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/linearity-of-differentiation/"
  },
  {
    "t": "0M1GFS6PVA",
    "n": "Intercept theorem",
    "a": [
      "basic-proportionality-theorem",
      "thales-theorem-on-proportions"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/intercept-theorem/"
  },
  {
    "t": "0M1GJSWZDA",
    "n": "Convex function on R^n",
    "k": "definition",
    "m": [
      "26B25"
    ],
    "u": "/wiki/convex-function-on-r-n-definition/"
  },
  {
    "t": "0M1MX28VXK",
    "n": "Bernoulli's inequality",
    "k": "statement",
    "m": [
      "26D05"
    ],
    "u": "/wiki/bernoullis-inequality/"
  },
  {
    "t": "0M25PRN3WQ",
    "n": "Fermat's little theorem",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/fermats-little-theorem/"
  },
  {
    "t": "0M28ASWG8T",
    "n": "Conjunction",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/conjunction-definition/"
  },
  {
    "t": "0M2JRW1J0N",
    "n": "Curl of a gradient is zero",
    "a": [
      "curl-grad-vanishes"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/curl-of-a-gradient-is-zero/"
  },
  {
    "t": "0M2SSGSYPE",
    "n": "Cayley's formula",
    "k": "statement",
    "m": [
      "05C30"
    ],
    "u": "/wiki/cayleys-formula/"
  },
  {
    "t": "0M3PYJ3TSE",
    "n": "The number of Sylow subgroups divides the index",
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/the-number-of-sylow-subgroups-divides-the-index/"
  },
  {
    "t": "0M3YQJ81NB",
    "n": "Analytic continuation",
    "a": [
      "holomorphic-extension"
    ],
    "k": "concept",
    "m": [
      "30B40"
    ],
    "u": "/wiki/analytic-continuation/"
  },
  {
    "t": "0M406JC8J1",
    "n": "Four colour theorem",
    "k": "statement",
    "m": [
      "05C15",
      "05C10"
    ],
    "u": "/wiki/four-colour-theorem/"
  },
  {
    "t": "0M418FE7BB",
    "n": "Binary operation",
    "k": "concept",
    "m": [
      "08A02"
    ],
    "u": "/wiki/binary-operation/"
  },
  {
    "t": "0M4JJT780X",
    "n": "Uniform continuity",
    "k": "concept",
    "m": [
      "26A15"
    ],
    "u": "/wiki/uniform-continuity/"
  },
  {
    "t": "0M4SXE5WW3",
    "n": "Every linearly independent set extends to a basis",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/every-linearly-independent-set-extends-to-a-basis/"
  },
  {
    "t": "0M4TCS0RRG",
    "n": "Classification of the Platonic solids",
    "k": "statement",
    "m": [
      "51M20"
    ],
    "u": "/wiki/classification-of-the-platonic-solids/"
  },
  {
    "t": "0M50E4WYWJ",
    "n": "Line integral of a scalar field",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/line-integral-of-a-scalar-field-definition/"
  },
  {
    "t": "0M67FWZWPQ",
    "n": "Existence of inverses modulo n",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/existence-of-inverses-modulo-n/"
  },
  {
    "t": "0M6G75E95E",
    "n": "The only ideals of a field are zero and the whole field",
    "k": "statement",
    "m": [
      "12E99"
    ],
    "u": "/wiki/the-only-ideals-of-a-field-are-zero-and-the-whole-field/"
  },
  {
    "t": "0M6W4XNST6",
    "n": "Universal property of the product topology",
    "k": "statement",
    "m": [
      "54B10"
    ],
    "u": "/wiki/universal-property-of-the-product-topology/"
  },
  {
    "t": "0M79HRJCRR",
    "n": "Elementary matrix",
    "k": "definition",
    "m": [
      "15A23"
    ],
    "u": "/wiki/elementary-matrix-definition/"
  },
  {
    "t": "0M7ARED5Q7",
    "n": "Pythagorean triple",
    "k": "concept",
    "m": [
      "11D09"
    ],
    "u": "/wiki/pythagorean-triple/"
  },
  {
    "t": "0M7DEDKSYB",
    "n": "Euler's criterion",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/eulers-criterion/"
  },
  {
    "t": "0M83V17KHX",
    "n": "Complementary subspaces",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/complementary-subspaces/"
  },
  {
    "t": "0M856Q1AMZ",
    "n": "Dual space",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-space-definition/"
  },
  {
    "t": "0M85DXB5RM",
    "n": "Equivalent norms",
    "a": [
      "equivalence-of-norms"
    ],
    "k": "concept",
    "m": [
      "46B20"
    ],
    "u": "/wiki/equivalent-norms/"
  },
  {
    "t": "0M893X7YY7",
    "n": "Adjoining a root of a polynomial",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/adjoining-a-root-of-a-polynomial-definition/"
  },
  {
    "t": "0M8EWQJ1YV",
    "n": "Vieta's formulas",
    "k": "statement",
    "m": [
      "12D10"
    ],
    "u": "/wiki/vietas-formulas/"
  },
  {
    "t": "0M8MHYERTY",
    "n": "Nilpotent endomorphism",
    "k": "definition",
    "m": [
      "15A04",
      "15A21"
    ],
    "u": "/wiki/nilpotent-endomorphism-definition/"
  },
  {
    "t": "0M8TGGP9JP",
    "n": "Approximation property of the supremum",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/approximation-property-of-the-supremum/"
  },
  {
    "t": "0M98XYVX6S",
    "n": "Coefficient of a power series",
    "k": "definition",
    "m": [
      "13F25"
    ],
    "u": "/wiki/coefficient-of-a-power-series-definition/"
  },
  {
    "t": "0M9MX8YW0A",
    "n": "Incentre",
    "a": [
      "incenter"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/incentre/"
  },
  {
    "t": "0M9XEDF1HJ",
    "n": "Step function",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/step-function-definition/"
  },
  {
    "t": "0MA5B744K3",
    "n": "Field generated by adjoining elements",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/field-generated-by-adjoining-elements-definition/"
  },
  {
    "t": "0MB48XDBY3",
    "n": "Schwarz lemma",
    "a": [
      "schwarzs-lemma"
    ],
    "k": "statement",
    "m": [
      "30C80"
    ],
    "u": "/wiki/schwarz-lemma/"
  },
  {
    "t": "0MB4TGMXG6",
    "n": "Algebraic number",
    "k": "definition",
    "m": [
      "11R04"
    ],
    "u": "/wiki/algebraic-number-definition/"
  },
  {
    "t": "0MB8HQW495",
    "n": "Self-adjoint operator",
    "k": "definition",
    "m": [
      "47B15",
      "15B57"
    ],
    "u": "/wiki/self-adjoint-operator-definition/"
  },
  {
    "t": "0MBJVDSK1R",
    "n": "Sum of ideals",
    "k": "concept",
    "m": [
      "13A15"
    ],
    "u": "/wiki/sum-of-ideals/"
  },
  {
    "t": "0MBV2VHMXA",
    "n": "Generators of a group",
    "a": [
      "generating-set-of-a-group"
    ],
    "k": "concept",
    "m": [
      "20F05"
    ],
    "u": "/wiki/generators-of-a-group/"
  },
  {
    "t": "0MBWQKM8QR",
    "n": "Monotonicity of the integral",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/monotonicity-of-the-integral/"
  },
  {
    "t": "0MC0AQZSHE",
    "n": "A finite abelian group is cyclic iff its exponent equals its order",
    "k": "statement",
    "m": [
      "20K01"
    ],
    "u": "/wiki/a-finite-abelian-group-is-cyclic-iff-its-exponent-equals-its-order/"
  },
  {
    "t": "0MCDDSCB9Z",
    "n": "Orthogonal projection is the closest point",
    "k": "statement",
    "m": [
      "46C05",
      "65F20"
    ],
    "u": "/wiki/orthogonal-projection-is-the-closest-point/"
  },
  {
    "t": "0MCK8K2D7Z",
    "n": "Epsilon characterisation of Cauchy sequences",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/epsilon-characterisation-of-cauchy-sequences/"
  },
  {
    "t": "0MCR8ZAXQD",
    "n": "Minimal element",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/minimal-element-definition/"
  },
  {
    "t": "0MCXX29HWY",
    "n": "Algebraic closure",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraic-closure-definition/"
  },
  {
    "t": "0MCYJ72VGA",
    "n": "Complement graph",
    "k": "concept",
    "m": [
      "05C76"
    ],
    "u": "/wiki/complement-graph/"
  },
  {
    "t": "0MDJP82TEH",
    "n": "Coprime ideals",
    "k": "definition",
    "m": [
      "13A15"
    ],
    "u": "/wiki/coprime-ideals-definition/"
  },
  {
    "t": "0MDMZ965VE",
    "n": "Exterior algebra",
    "a": [
      "grassmann-algebra"
    ],
    "k": "concept",
    "m": [
      "15A75"
    ],
    "u": "/wiki/exterior-algebra/"
  },
  {
    "t": "0ME21QN125",
    "n": "Symmetric difference",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/symmetric-difference/"
  },
  {
    "t": "0MES3KS0ZC",
    "n": "Division algorithm for polynomials",
    "a": [
      "euclidean-division-of-polynomials"
    ],
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/division-algorithm-for-polynomials/"
  },
  {
    "t": "0MFJJV97RJ",
    "n": "Norm induced by an inner product",
    "k": "concept",
    "m": [
      "46C05"
    ],
    "u": "/wiki/norm-induced-by-an-inner-product/"
  },
  {
    "t": "0MH1WK89PP",
    "n": "Derivative of a polynomial",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative-of-a-polynomial/"
  },
  {
    "t": "0MHE4B1QCQ",
    "n": "Wronskian test for linear independence of solutions",
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/wronskian-test-for-linear-independence-of-solutions/"
  },
  {
    "t": "0MHGJRZMTM",
    "n": "Every sequence has a monotone subsequence",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/every-sequence-has-a-monotone-subsequence/"
  },
  {
    "t": "0MJ04A50QW",
    "n": "Matching",
    "k": "concept",
    "m": [
      "05C70"
    ],
    "u": "/wiki/matching/"
  },
  {
    "t": "0MJ0JS72DZ",
    "n": "Tree",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/tree-definition/"
  },
  {
    "t": "0MKABWDRNC",
    "n": "Upper triangular matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/upper-triangular-matrix-definition/"
  },
  {
    "t": "0MKRHZB3WS",
    "n": "Change of basis matrix",
    "a": [
      "transition-matrix"
    ],
    "k": "concept",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/change-of-basis-matrix/"
  },
  {
    "t": "0MM085RX00",
    "n": "Product of vector spaces",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/product-of-vector-spaces-definition/"
  },
  {
    "t": "0MM45BT6HC",
    "n": "One-point compactification",
    "k": "definition",
    "m": [
      "54D35"
    ],
    "u": "/wiki/one-point-compactification-definition/"
  },
  {
    "t": "0MMCB8RXGA",
    "n": "A ring homomorphism is injective iff its kernel is zero",
    "k": "statement",
    "m": [
      "16B99"
    ],
    "u": "/wiki/a-ring-homomorphism-is-injective-iff-its-kernel-is-zero/"
  },
  {
    "t": "0MN2MER9WN",
    "n": "Continuum hypothesis",
    "a": [
      "ch"
    ],
    "k": "statement",
    "m": [
      "03E50"
    ],
    "u": "/wiki/continuum-hypothesis/"
  },
  {
    "t": "0MN882VJ4P",
    "n": "Derivative as a little-o approximation",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-as-a-little-o-approximation/"
  },
  {
    "t": "0MNF0BYFQC",
    "n": "Algebraic number",
    "k": "concept",
    "m": [
      "11R04"
    ],
    "u": "/wiki/algebraic-number/"
  },
  {
    "t": "0MNHXBSX3M",
    "n": "Prime element",
    "k": "definition",
    "m": [
      "13A05"
    ],
    "u": "/wiki/prime-element-definition/"
  },
  {
    "t": "0MNM54WB99",
    "n": "Geometric sequence",
    "a": [
      "geometric-progression"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/geometric-sequence-definition/"
  },
  {
    "t": "0MNZCN4BQK",
    "n": "Product of rings",
    "k": "definition",
    "m": [
      "16B99"
    ],
    "u": "/wiki/product-of-rings-definition/"
  },
  {
    "t": "0MP9BCF6DP",
    "n": "Line",
    "a": [
      "straight-line"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/line/"
  },
  {
    "t": "0MPAJRB23T",
    "n": "Diagonalisable iff the minimal polynomial has distinct roots",
    "k": "statement",
    "m": [
      "15A20"
    ],
    "u": "/wiki/diagonalisable-iff-the-minimal-polynomial-has-distinct-roots/"
  },
  {
    "t": "0MPZGAZ2GK",
    "n": "Centre of mass",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/centre-of-mass-definition/"
  },
  {
    "t": "0MQ24RBG93",
    "n": "Fundamental matrix",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/fundamental-matrix-definition/"
  },
  {
    "t": "0MQQQ5NA2S",
    "n": "Compact Hausdorff spaces are normal",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-hausdorff-spaces-are-normal/"
  },
  {
    "t": "0MQXVZEBMT",
    "n": "Change of basis formula",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/change-of-basis-formula/"
  },
  {
    "t": "0MR0BYF0K2",
    "n": "Normal matrix",
    "k": "concept",
    "m": [
      "15B57",
      "15A21"
    ],
    "u": "/wiki/normal-matrix/"
  },
  {
    "t": "0MRE6XRE5V",
    "n": "Series of functions",
    "k": "definition",
    "m": [
      "40A30"
    ],
    "u": "/wiki/series-of-functions-definition/"
  },
  {
    "t": "0MS8QGA6S5",
    "n": "A quotient is abelian iff the subgroup contains the commutator subgroup",
    "k": "statement",
    "m": [
      "20F12"
    ],
    "u": "/wiki/a-quotient-is-abelian-iff-the-subgroup-contains-the-commutator-subgroup/"
  },
  {
    "t": "0MSCQNFTM8",
    "n": "Test for exactness",
    "k": "statement",
    "m": [
      "34A05"
    ],
    "u": "/wiki/test-for-exactness/"
  },
  {
    "t": "0MSRQHCNN9",
    "n": "Existential quantifier",
    "a": [
      "there-exists",
      "existential-quantification"
    ],
    "k": "concept",
    "m": [
      "03B10"
    ],
    "u": "/wiki/existential-quantifier/"
  },
  {
    "t": "0MSSD1VCW9",
    "n": "Order on the reals",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/order-on-the-reals/"
  },
  {
    "t": "0MSWYWHYF5",
    "n": "Alternating multilinear map",
    "k": "definition",
    "m": [
      "15A69",
      "15A75"
    ],
    "u": "/wiki/alternating-multilinear-map-definition/"
  },
  {
    "t": "0MT2S0ZX4Y",
    "n": "Contraction mapping",
    "k": "definition",
    "m": [
      "47H09"
    ],
    "u": "/wiki/contraction-mapping-definition/"
  },
  {
    "t": "0MTBGVZ4XJ",
    "n": "First isomorphism theorem for linear maps",
    "k": "statement",
    "m": [
      "15A04",
      "16D10"
    ],
    "u": "/wiki/first-isomorphism-theorem-for-linear-maps/"
  },
  {
    "t": "0MTENFBW3Q",
    "n": "One-form",
    "k": "definition",
    "m": [
      "58A10"
    ],
    "u": "/wiki/one-form-definition/"
  },
  {
    "t": "0MTNR28K60",
    "n": "Poisson point process",
    "a": [
      "poisson-process"
    ],
    "k": "concept",
    "m": [
      "60G55"
    ],
    "u": "/wiki/poisson-point-process/"
  },
  {
    "t": "0MVCFMW7S4",
    "n": "e",
    "a": [
      "euler-number",
      "napier-constant"
    ],
    "k": "object",
    "m": [
      "11Y60"
    ],
    "u": "/wiki/e/"
  },
  {
    "t": "0MVDQEAB60",
    "n": "Sequential continuity",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/sequential-continuity-definition/"
  },
  {
    "t": "0MVH4Y1CRZ",
    "n": "Noetherian ring",
    "k": "definition",
    "m": [
      "13E05"
    ],
    "u": "/wiki/noetherian-ring-definition/"
  },
  {
    "t": "0MVTCFW42K",
    "n": "Exponentials dominate powers in sequences",
    "k": "statement",
    "m": [
      "26A12"
    ],
    "u": "/wiki/exponentials-dominate-powers-in-sequences/"
  },
  {
    "t": "0MW2WXTHMC",
    "n": "Equicontinuity",
    "k": "definition",
    "m": [
      "54C35"
    ],
    "u": "/wiki/equicontinuity-definition/"
  },
  {
    "t": "0MWKJ44V5A",
    "n": "Natural numbers",
    "a": [
      "natural-number",
      "set-of-natural-numbers"
    ],
    "k": "object",
    "m": [
      "11A99"
    ],
    "u": "/wiki/natural-numbers/"
  },
  {
    "t": "0MWV6ZTK6S",
    "n": "Divergence",
    "a": [
      "div"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/divergence/"
  },
  {
    "t": "0MWYQTZ07Z",
    "n": "Hyperbolic tangent",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-tangent-definition/"
  },
  {
    "t": "0MX1HZBBXJ",
    "n": "A series of nonnegative terms converges iff its partial sums are bounded",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/a-series-of-nonnegative-terms-converges-iff-its-partial-sums-are-bounded/"
  },
  {
    "t": "0MXB4CKHFW",
    "n": "Hausdorff space",
    "k": "definition",
    "m": [
      "54D10"
    ],
    "u": "/wiki/hausdorff-space-definition/"
  },
  {
    "t": "0MXCP7MXWJ",
    "n": "Coupon collector's problem",
    "a": [
      "coupon-collector-problem"
    ],
    "k": "problem",
    "m": [
      "60C05"
    ],
    "u": "/wiki/coupon-collectors-problem/"
  },
  {
    "t": "0MXEHSCYCS",
    "n": "Mantel's theorem",
    "k": "statement",
    "m": [
      "05C35"
    ],
    "u": "/wiki/mantels-theorem/"
  },
  {
    "t": "0MXFJ0J00R",
    "n": "Deficient number",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/deficient-number/"
  },
  {
    "t": "0MXGYCH4SY",
    "n": "Perfect number",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/perfect-number/"
  },
  {
    "t": "0MXMS3AE13",
    "n": "Cumulative distribution function",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/cumulative-distribution-function-definition/"
  },
  {
    "t": "0MXN7AFBPE",
    "n": "Open connected subsets of R^n are path-connected",
    "k": "statement",
    "m": [
      "54D05"
    ],
    "u": "/wiki/open-connected-subsets-of-r-n-are-path-connected/"
  },
  {
    "t": "0MXT6PRZZ6",
    "n": "Marginal distribution",
    "a": [
      "marginal-probability"
    ],
    "k": "concept",
    "m": [
      "62H05"
    ],
    "u": "/wiki/marginal-distribution/"
  },
  {
    "t": "0MYDNRT7PP",
    "n": "Characteristic function",
    "k": "definition",
    "m": [
      "60E10"
    ],
    "u": "/wiki/characteristic-function-definition/"
  },
  {
    "t": "0MYFJVMN7M",
    "n": "Compact subsets of a Hausdorff space are closed",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-subsets-of-a-hausdorff-space-are-closed/"
  },
  {
    "t": "0MYSA6MYNA",
    "n": "Ideal",
    "k": "definition",
    "m": [
      "13A15"
    ],
    "u": "/wiki/ideal-definition/"
  },
  {
    "t": "0MZB06ST2B",
    "n": "Power series",
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/power-series/"
  },
  {
    "t": "0N019F6RE9",
    "n": "Separable extension",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/separable-extension-definition/"
  },
  {
    "t": "0N0PXCTYA7",
    "n": "Subgroup",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/subgroup-definition/"
  },
  {
    "t": "0N109NG5ZX",
    "n": "Well-ordering theorem",
    "a": [
      "zermelo-theorem",
      "well-ordering-principle"
    ],
    "k": "statement",
    "m": [
      "03E25"
    ],
    "u": "/wiki/well-ordering-theorem/"
  },
  {
    "t": "0N10YRNNWV",
    "n": "Irrationality of square roots of non-squares",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrationality-of-square-roots-of-non-squares/"
  },
  {
    "t": "0N1JQXZXHC",
    "n": "Riemann integrable function",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-integrable-function-definition/"
  },
  {
    "t": "0N1MY1T0W9",
    "n": "Matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-definition/"
  },
  {
    "t": "0N1ZWFJDN5",
    "n": "Completeness via Cauchy sequences",
    "k": "statement",
    "m": [
      "54E50"
    ],
    "u": "/wiki/completeness-via-cauchy-sequences/"
  },
  {
    "t": "0N288P2TB5",
    "n": "Radius of convergence",
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/radius-of-convergence/"
  },
  {
    "t": "0N28QN4CYA",
    "n": "Symmetric matrix",
    "k": "definition",
    "m": [
      "15A99",
      "15B57"
    ],
    "u": "/wiki/symmetric-matrix-definition/"
  },
  {
    "t": "0N2P0XRTDF",
    "n": "A homomorphism is injective iff its kernel is trivial",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/a-homomorphism-is-injective-iff-its-kernel-is-trivial/"
  },
  {
    "t": "0N2SP6K9ZC",
    "n": "Cumulant generating function",
    "a": [
      "cumulant-generating-function",
      "cgf"
    ],
    "k": "concept",
    "m": [
      "60E10"
    ],
    "u": "/wiki/cumulant-generating-function/"
  },
  {
    "t": "0N2WPCC00T",
    "n": "The rationals form a field",
    "k": "statement",
    "m": [
      "12E99"
    ],
    "u": "/wiki/the-rationals-form-a-field/"
  },
  {
    "t": "0N32V0E3XJ",
    "n": "Limits preserve non-strict inequalities",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limits-preserve-non-strict-inequalities/"
  },
  {
    "t": "0N3ADS4CHH",
    "n": "Uniqueness quantifier",
    "k": "definition",
    "m": [
      "03B10"
    ],
    "u": "/wiki/uniqueness-quantifier-definition/"
  },
  {
    "t": "0N3ADXHNTQ",
    "n": "Composite number",
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/composite-number-definition/"
  },
  {
    "t": "0N3WFZEFPM",
    "n": "Liouville's theorem on Diophantine approximation",
    "k": "statement",
    "m": [
      "11J68"
    ],
    "u": "/wiki/liouvilles-theorem-on-diophantine-approximation/"
  },
  {
    "t": "0N3Y8G340X",
    "n": "Hilbert's hotel",
    "a": [
      "hilbert-grand-hotel",
      "hilberts-hotel"
    ],
    "k": "example",
    "m": [
      "03E10"
    ],
    "u": "/wiki/hilberts-hotel/"
  },
  {
    "t": "0N4F5FMQZW",
    "n": "Quotient map",
    "a": [
      "canonical-projection"
    ],
    "k": "concept",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/quotient-map/"
  },
  {
    "t": "0N4XY7Z3NN",
    "n": "Upper triangular matrix",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/upper-triangular-matrix/"
  },
  {
    "t": "0N57D1XY6T",
    "n": "Pairwise independence",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/pairwise-independence-definition/"
  },
  {
    "t": "0N5FCV2YV6",
    "n": "Boolean ring",
    "k": "definition",
    "m": [
      "06E20"
    ],
    "u": "/wiki/boolean-ring-definition/"
  },
  {
    "t": "0N5GP3YT8T",
    "n": "Square root of a positive semidefinite matrix",
    "k": "definition",
    "m": [
      "15A16",
      "15B57"
    ],
    "u": "/wiki/square-root-of-a-positive-semidefinite-matrix-definition/"
  },
  {
    "t": "0N5M924N3P",
    "n": "Falling factorial",
    "k": "definition",
    "m": [
      "05A10"
    ],
    "u": "/wiki/falling-factorial-definition/"
  },
  {
    "t": "0N5N15HWZ7",
    "n": "Cross product",
    "a": [
      "vector-product"
    ],
    "k": "concept",
    "m": [
      "15A72"
    ],
    "u": "/wiki/cross-product/"
  },
  {
    "t": "0N5NF1RGBP",
    "n": "Wronskian",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/wronskian-definition/"
  },
  {
    "t": "0N5NJZKKN3",
    "n": "Idempotent element",
    "k": "concept",
    "m": [
      "16U40"
    ],
    "u": "/wiki/idempotent-element/"
  },
  {
    "t": "0N5NR32NQG",
    "n": "Classification of conics by the discriminant",
    "k": "statement",
    "m": [
      "51N20"
    ],
    "u": "/wiki/classification-of-conics-by-the-discriminant/"
  },
  {
    "t": "0N5QW9K7MH",
    "n": "Degree of a simple extension is the degree of the minimal polynomial",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/degree-of-a-simple-extension-is-the-degree-of-the-minimal-polynomial/"
  },
  {
    "t": "0N5ZSZMYH6",
    "n": "Fermat primality test",
    "k": "concept",
    "m": [
      "11Y11"
    ],
    "u": "/wiki/fermat-primality-test/"
  },
  {
    "t": "0N67NBKQ5T",
    "n": "Vector field",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/vector-field-definition/"
  },
  {
    "t": "0N681SSTHC",
    "n": "Simple extension",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/simple-extension/"
  },
  {
    "t": "0N6960W0BV",
    "n": "Eigenvector",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvector/"
  },
  {
    "t": "0N6R902FG1",
    "n": "Monoid",
    "k": "concept",
    "m": [
      "20M10"
    ],
    "u": "/wiki/monoid/"
  },
  {
    "t": "0N7ATVF2X8",
    "n": "Classification of equilibria of planar linear systems",
    "k": "concept",
    "m": [
      "34C05",
      "34D20"
    ],
    "u": "/wiki/classification-of-equilibria-of-planar-linear-systems/"
  },
  {
    "t": "0N7ENQRCXN",
    "n": "Kronecker product",
    "k": "concept",
    "m": [
      "15A69"
    ],
    "u": "/wiki/kronecker-product/"
  },
  {
    "t": "0N8NGKDZDZ",
    "n": "Equilibrium point",
    "k": "concept",
    "m": [
      "34C05"
    ],
    "u": "/wiki/equilibrium-point/"
  },
  {
    "t": "0N91N98EG5",
    "n": "Mean value theorem for integrals",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/mean-value-theorem-for-integrals/"
  },
  {
    "t": "0N9E4G2P97",
    "n": "Fermat prime",
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/fermat-prime-definition/"
  },
  {
    "t": "0N9R5NN6TW",
    "n": "Nilpotent element",
    "k": "definition",
    "m": [
      "16N40"
    ],
    "u": "/wiki/nilpotent-element-definition/"
  },
  {
    "t": "0N9SA25Z3V",
    "n": "Symmetric relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/symmetric-relation-definition/"
  },
  {
    "t": "0NA0732YAG",
    "n": "Basis of a topology",
    "a": [
      "base-of-a-topology",
      "topological-basis"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/basis-of-a-topology/"
  },
  {
    "t": "0NA4FK7B8S",
    "n": "Discrete metric",
    "k": "example",
    "m": [
      "54E35"
    ],
    "u": "/wiki/discrete-metric/"
  },
  {
    "t": "0NA6Q82YR7",
    "n": "Cauchy distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/cauchy-distribution-definition/"
  },
  {
    "t": "0NACHJYPKW",
    "n": "Ore's theorem",
    "k": "statement",
    "m": [
      "05C45"
    ],
    "u": "/wiki/ores-theorem/"
  },
  {
    "t": "0NAHXR1FRH",
    "n": "Holomorphic function",
    "a": [
      "holomorphic",
      "complex-analytic-function"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/holomorphic-function/"
  },
  {
    "t": "0NAKHQ9XYY",
    "n": "Apollonius's theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/apolloniuss-theorem/"
  },
  {
    "t": "0NANDX7V02",
    "n": "Harmonic number",
    "k": "concept",
    "m": [
      "11B83"
    ],
    "u": "/wiki/harmonic-number/"
  },
  {
    "t": "0NB0AWGJBW",
    "n": "Inner product",
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/inner-product/"
  },
  {
    "t": "0NB31CC4SN",
    "n": "exp(1/z) has an essential singularity at 0",
    "a": [
      "exponential-of-one-over-z"
    ],
    "k": "example",
    "m": [
      "30D30"
    ],
    "u": "/wiki/exp-1-z-has-an-essential-singularity-at-0/"
  },
  {
    "t": "0NB643K60Q",
    "n": "Partial sum",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/partial-sum-definition/"
  },
  {
    "t": "0NB689782W",
    "n": "Asymptotic stability",
    "k": "concept",
    "m": [
      "34D20"
    ],
    "u": "/wiki/asymptotic-stability/"
  },
  {
    "t": "0NB8VPB93V",
    "n": "Composition series",
    "k": "definition",
    "m": [
      "20E15",
      "20D30"
    ],
    "u": "/wiki/composition-series-definition/"
  },
  {
    "t": "0NBRP6093V",
    "n": "Divergent series",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/divergent-series-definition/"
  },
  {
    "t": "0NC2A3HWGT",
    "n": "The integral of a continuous function is an antiderivative",
    "k": "statement",
    "m": [
      "26A36"
    ],
    "u": "/wiki/the-integral-of-a-continuous-function-is-an-antiderivative/"
  },
  {
    "t": "0NC9R64TXP",
    "n": "Planar graph",
    "k": "concept",
    "m": [
      "05C10"
    ],
    "u": "/wiki/planar-graph/"
  },
  {
    "t": "0NCJ5WXN6Z",
    "n": "Rational numbers",
    "a": [
      "rational-number",
      "rationals",
      "set-of-rational-numbers"
    ],
    "k": "object",
    "m": [
      "11A99"
    ],
    "u": "/wiki/rational-numbers/"
  },
  {
    "t": "0NCPXH194Y",
    "n": "Graph colouring",
    "k": "concept",
    "m": [
      "05C15"
    ],
    "u": "/wiki/graph-colouring/"
  },
  {
    "t": "0NDV5R6Z6X",
    "n": "Principal part",
    "k": "definition",
    "m": [
      "30B10"
    ],
    "u": "/wiki/principal-part-definition/"
  },
  {
    "t": "0NDVHBVBXB",
    "n": "Linear recurrence with constant coefficients",
    "k": "concept",
    "m": [
      "39A06"
    ],
    "u": "/wiki/linear-recurrence-with-constant-coefficients/"
  },
  {
    "t": "0NE1DK7H4T",
    "n": "Right coset",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/right-coset/"
  },
  {
    "t": "0NE233WGD1",
    "n": "Conditional convergence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/conditional-convergence/"
  },
  {
    "t": "0NE2W2XPQJ",
    "n": "Implicit function theorem for a surjective derivative",
    "a": [
      "regular-value-theorem-euclidean"
    ],
    "k": "statement",
    "m": [
      "26B10"
    ],
    "u": "/wiki/implicit-function-theorem-for-a-surjective-derivative/"
  },
  {
    "t": "0NEGN5CRSC",
    "n": "Self-adjoint operator",
    "a": [
      "hermitian-operator"
    ],
    "k": "concept",
    "m": [
      "47B15",
      "15B57"
    ],
    "u": "/wiki/self-adjoint-operator/"
  },
  {
    "t": "0NF1KGDXX3",
    "n": "Restriction of a function",
    "a": [
      "restricted-function"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/restriction-of-a-function/"
  },
  {
    "t": "0NF6GQNXMY",
    "n": "Curl",
    "a": [
      "rotation-of-a-vector-field",
      "rot"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/curl/"
  },
  {
    "t": "0NFAGWH84K",
    "n": "Double negation law",
    "a": [
      "double-negation-elimination"
    ],
    "k": "statement",
    "m": [
      "03B05"
    ],
    "u": "/wiki/double-negation-law/"
  },
  {
    "t": "0NFEG48RDR",
    "n": "The minimal polynomial is irreducible",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/the-minimal-polynomial-is-irreducible/"
  },
  {
    "t": "0NFPJVJJHX",
    "n": "Probability space",
    "a": [
      "probability-triple"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/probability-space/"
  },
  {
    "t": "0NHGY0N0JB",
    "n": "Fundamental theorem of calculus",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/fundamental-theorem-of-calculus/"
  },
  {
    "t": "0NHK9MFFW9",
    "n": "Perfect matching",
    "k": "concept",
    "m": [
      "05C70"
    ],
    "u": "/wiki/perfect-matching/"
  },
  {
    "t": "0NHXGY2C5J",
    "n": "Sample variance",
    "a": [
      "unbiased-sample-variance",
      "corrected-sample-variance"
    ],
    "k": "concept",
    "m": [
      "62F10"
    ],
    "u": "/wiki/sample-variance/"
  },
  {
    "t": "0NK8JTE1NN",
    "n": "von Mangoldt function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/von-mangoldt-function/"
  },
  {
    "t": "0NKBMFC18R",
    "n": "Double integral",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/double-integral-definition/"
  },
  {
    "t": "0NM626FH6Q",
    "n": "Series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/series/"
  },
  {
    "t": "0NM6E9VW04",
    "n": "Bayes' theorem",
    "a": [
      "bayes-rule",
      "bayes-law",
      "bayes-formula"
    ],
    "k": "statement",
    "m": [
      "62F15"
    ],
    "u": "/wiki/bayes-theorem/"
  },
  {
    "t": "0NMF95YK8W",
    "n": "Variance as the mean of the square minus the square of the mean",
    "a": [
      "computational-formula-for-variance"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/variance-as-the-mean-of-the-square-minus-the-square-of-the-mean/"
  },
  {
    "t": "0NMG7W7Q11",
    "n": "Implication",
    "a": [
      "material-conditional",
      "conditional"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/implication/"
  },
  {
    "t": "0NMGJJ19HD",
    "n": "Epsilon-net characterisation of total boundedness",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/epsilon-net-characterisation-of-total-boundedness/"
  },
  {
    "t": "0NMN00FNW1",
    "n": "Transvection",
    "k": "definition",
    "m": [
      "15A23"
    ],
    "u": "/wiki/transvection-definition/"
  },
  {
    "t": "0NMWG2PHJ0",
    "n": "Birthday problem",
    "a": [
      "birthday-paradox"
    ],
    "k": "example",
    "m": [
      "60C05"
    ],
    "u": "/wiki/birthday-problem/"
  },
  {
    "t": "0NMXDCNNKR",
    "n": "Trace is the sum of the eigenvalues",
    "k": "statement",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/trace-is-the-sum-of-the-eigenvalues/"
  },
  {
    "t": "0NN5JEMTVE",
    "n": "0.999... equals 1",
    "k": "example",
    "m": [
      "11A63"
    ],
    "u": "/wiki/0-999-equals-1/"
  },
  {
    "t": "0NNDQVJ54Q",
    "n": "Closed formula for Catalan numbers",
    "k": "statement",
    "m": [
      "05A15"
    ],
    "u": "/wiki/closed-formula-for-catalan-numbers/"
  },
  {
    "t": "0NNQ4KFEX7",
    "n": "Associativity",
    "k": "definition",
    "m": [
      "08A02"
    ],
    "u": "/wiki/associativity-definition/"
  },
  {
    "t": "0NNQY8WCW6",
    "n": "Schwarz's theorem for C^2 functions",
    "a": [
      "clairaut-theorem",
      "schwarz-theorem"
    ],
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/schwarzs-theorem-for-c-2-functions/"
  },
  {
    "t": "0NNR68BFRY",
    "n": "Reduced row echelon form",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/reduced-row-echelon-form-definition/"
  },
  {
    "t": "0NNRDW10RZ",
    "n": "Zero divisor",
    "k": "concept",
    "m": [
      "16U99"
    ],
    "u": "/wiki/zero-divisor/"
  },
  {
    "t": "0NNRNGKMFM",
    "n": "Moment-generating function",
    "k": "definition",
    "m": [
      "60E10"
    ],
    "u": "/wiki/moment-generating-function-definition/"
  },
  {
    "t": "0NNYDD1AVR",
    "n": "Eulerian trail",
    "k": "definition",
    "m": [
      "05C45"
    ],
    "u": "/wiki/eulerian-trail-definition/"
  },
  {
    "t": "0NP5N5PYW5",
    "n": "Cantor pairing function",
    "a": [
      "cantor-pairing"
    ],
    "k": "example",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cantor-pairing-function/"
  },
  {
    "t": "0NPPGHQNXQ",
    "n": "Euclidean distance",
    "a": [
      "distance-between-two-points"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/euclidean-distance/"
  },
  {
    "t": "0NPW1DWECM",
    "n": "Algebraic element",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraic-element-definition/"
  },
  {
    "t": "0NQ1H2X495",
    "n": "Quotient topology",
    "a": [
      "quotient-space",
      "identification-topology"
    ],
    "k": "concept",
    "m": [
      "54B15"
    ],
    "u": "/wiki/quotient-topology/"
  },
  {
    "t": "0NQ5798SB1",
    "n": "Student's t-distribution",
    "k": "definition",
    "m": [
      "60E05",
      "62E15"
    ],
    "u": "/wiki/students-t-distribution-definition/"
  },
  {
    "t": "0NQMZ89X4A",
    "n": "Transcendental element",
    "k": "concept",
    "m": [
      "12F20"
    ],
    "u": "/wiki/transcendental-element/"
  },
  {
    "t": "0NQSV2EWDR",
    "n": "Winding number",
    "a": [
      "winding-index"
    ],
    "k": "concept",
    "m": [
      "55M25"
    ],
    "u": "/wiki/winding-number/"
  },
  {
    "t": "0NR82KMYKD",
    "n": "Triangle inequality for integrals",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/triangle-inequality-for-integrals/"
  },
  {
    "t": "0NR95CTFCZ",
    "n": "Petersen graph",
    "k": "example",
    "m": [
      "05C99"
    ],
    "u": "/wiki/petersen-graph/"
  },
  {
    "t": "0NRJGW864D",
    "n": "Quaternion group",
    "a": [
      "q8"
    ],
    "k": "object",
    "m": [
      "20D15"
    ],
    "u": "/wiki/quaternion-group/"
  },
  {
    "t": "0NRQPQX3VA",
    "n": "Composition of continuous functions is continuous",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/composition-of-continuous-functions-is-continuous/"
  },
  {
    "t": "0NRT0E2QT2",
    "n": "Connected components are closed",
    "k": "statement",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-components-are-closed/"
  },
  {
    "t": "0NRYHJPQG2",
    "n": "Linear map",
    "a": [
      "linear-transformation"
    ],
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-map/"
  },
  {
    "t": "0NRYPM9Y27",
    "n": "Finite extension",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/finite-extension-definition/"
  },
  {
    "t": "0NS0TDA4E2",
    "n": "Characteristic function of the normal distribution",
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/characteristic-function-of-the-normal-distribution/"
  },
  {
    "t": "0NS0X75RS1",
    "n": "Derivative of a map into R^n by components",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-of-a-map-into-r-n-by-components/"
  },
  {
    "t": "0NS1YTGM19",
    "n": "Product of two subgroups",
    "a": [
      "frobenius-product"
    ],
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/product-of-two-subgroups-definition/"
  },
  {
    "t": "0NS2QYVC4Y",
    "n": "Gradient",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/gradient-definition/"
  },
  {
    "t": "0NS58JP68E",
    "n": "Construction of the integers from the natural numbers",
    "k": "concept",
    "m": [
      "11A99"
    ],
    "u": "/wiki/construction-of-the-integers-from-the-natural-numbers/"
  },
  {
    "t": "0NS8BP96QX",
    "n": "Local minimum",
    "a": [
      "relative-minimum"
    ],
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/local-minimum-definition/"
  },
  {
    "t": "0NSD1TPHR0",
    "n": "Meromorphic function",
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/meromorphic-function-definition/"
  },
  {
    "t": "0NSR9V8TED",
    "n": "Normal space",
    "a": [
      "t4-space"
    ],
    "k": "concept",
    "m": [
      "54D15"
    ],
    "u": "/wiki/normal-space/"
  },
  {
    "t": "0NT64JV96A",
    "n": "Ordinary differential equation",
    "k": "concept",
    "m": [
      "34A99"
    ],
    "u": "/wiki/ordinary-differential-equation/"
  },
  {
    "t": "0NTF6DMVAP",
    "n": "Direct proof",
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/direct-proof/"
  },
  {
    "t": "0NTM3J5MFE",
    "n": "Discrete Grönwall inequality",
    "k": "statement",
    "m": [
      "26D15",
      "39A22"
    ],
    "u": "/wiki/discrete-gronwall-inequality/"
  },
  {
    "t": "0NTSE7EREA",
    "n": "Exterior angle theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/exterior-angle-theorem/"
  },
  {
    "t": "0NTWN57GM3",
    "n": "Multiplicative function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/multiplicative-function/"
  },
  {
    "t": "0NV6E43P4A",
    "n": "Z/pZ is a field for p prime",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/z-pz-is-a-field-for-p-prime/"
  },
  {
    "t": "0NVPNC12JY",
    "n": "Open cover",
    "k": "definition",
    "m": [
      "54D30"
    ],
    "u": "/wiki/open-cover-definition/"
  },
  {
    "t": "0NW1JP7TBR",
    "n": "Multiplicativity of the Legendre symbol",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/multiplicativity-of-the-legendre-symbol/"
  },
  {
    "t": "0NW6CH38YR",
    "n": "T1 space",
    "a": [
      "accessible-space"
    ],
    "k": "concept",
    "m": [
      "54D10"
    ],
    "u": "/wiki/t1-space/"
  },
  {
    "t": "0NWXRAMEE7",
    "n": "Second Borel–Cantelli lemma",
    "a": [
      "converse-borel-cantelli-lemma"
    ],
    "k": "statement",
    "m": [
      "60F20"
    ],
    "u": "/wiki/second-borel-cantelli-lemma/"
  },
  {
    "t": "0NX5NWAFC9",
    "n": "Weierstrass M-test",
    "k": "statement",
    "m": [
      "40A30"
    ],
    "u": "/wiki/weierstrass-m-test/"
  },
  {
    "t": "0NXGPJWNFN",
    "n": "Sum of independent normal random variables",
    "a": [
      "sum-of-normally-distributed-random-variables"
    ],
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/sum-of-independent-normal-random-variables/"
  },
  {
    "t": "0NXJM01QX1",
    "n": "Euclidean isometry",
    "k": "definition",
    "m": [
      "51F20"
    ],
    "u": "/wiki/euclidean-isometry-definition/"
  },
  {
    "t": "0NXWQK2Y56",
    "n": "Adjoining a root of a polynomial",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/adjoining-a-root-of-a-polynomial/"
  },
  {
    "t": "0NYM0ZGAK9",
    "n": "Theorem on friends and strangers",
    "k": "statement",
    "m": [
      "05C55",
      "05D10"
    ],
    "u": "/wiki/theorem-on-friends-and-strangers/"
  },
  {
    "t": "0NYZ2M45G9",
    "n": "Closed map",
    "k": "definition",
    "m": [
      "54C10"
    ],
    "u": "/wiki/closed-map-definition/"
  },
  {
    "t": "0NZ8JA25WK",
    "n": "Module over a ring",
    "k": "concept",
    "m": [
      "16D10",
      "13C05"
    ],
    "u": "/wiki/module-over-a-ring/"
  },
  {
    "t": "0NZ8MDBN6Q",
    "n": "Adjacency matrix",
    "k": "definition",
    "m": [
      "05C50"
    ],
    "u": "/wiki/adjacency-matrix-definition/"
  },
  {
    "t": "0NZVJYZVTZ",
    "n": "Angle-angle similarity",
    "a": [
      "aa-similarity",
      "aaa-similarity"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/angle-angle-similarity/"
  },
  {
    "t": "0P05RJC5XA",
    "n": "Leading coefficient",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/leading-coefficient-definition/"
  },
  {
    "t": "0P0DJHBGBB",
    "n": "Cesàro mean",
    "k": "definition",
    "m": [
      "40G05"
    ],
    "u": "/wiki/cesaro-mean-definition/"
  },
  {
    "t": "0P0MZ4X682",
    "n": "Independence of two events",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/independence-of-two-events-definition/"
  },
  {
    "t": "0P0XDY9FZN",
    "n": "Classification of isometries of the plane",
    "k": "statement",
    "m": [
      "51F20"
    ],
    "u": "/wiki/classification-of-isometries-of-the-plane/"
  },
  {
    "t": "0P11X5HKAX",
    "n": "Subgraph",
    "k": "definition",
    "m": [
      "05C99"
    ],
    "u": "/wiki/subgraph-definition/"
  },
  {
    "t": "0P17NGQQMQ",
    "n": "Hermitian matrix",
    "a": [
      "self-adjoint-matrix"
    ],
    "k": "concept",
    "m": [
      "15B57"
    ],
    "u": "/wiki/hermitian-matrix/"
  },
  {
    "t": "0P18JC72RE",
    "n": "Removable singularity",
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/removable-singularity-definition/"
  },
  {
    "t": "0P21AVFFSP",
    "n": "Equivalent matrices",
    "k": "definition",
    "m": [
      "15A21"
    ],
    "u": "/wiki/equivalent-matrices-definition/"
  },
  {
    "t": "0P234N3M28",
    "n": "Hyperbola",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/hyperbola-definition/"
  },
  {
    "t": "0P24YW565F",
    "n": "Matrix of a bilinear form",
    "k": "definition",
    "m": [
      "15A63"
    ],
    "u": "/wiki/matrix-of-a-bilinear-form-definition/"
  },
  {
    "t": "0P27W9RW0G",
    "n": "Continuous function",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/continuous-function-definition/"
  },
  {
    "t": "0P30YYZN85",
    "n": "Second-order Taylor expansion",
    "a": [
      "second-order-taylor-formula"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/second-order-taylor-expansion/"
  },
  {
    "t": "0P3A06QNDP",
    "n": "Negation of a universal statement",
    "k": "statement",
    "m": [
      "03B10"
    ],
    "u": "/wiki/negation-of-a-universal-statement/"
  },
  {
    "t": "0P3KZK0FTV",
    "n": "Solvable group",
    "k": "definition",
    "m": [
      "20F16"
    ],
    "u": "/wiki/solvable-group-definition/"
  },
  {
    "t": "0P3M4ZY9X8",
    "n": "Divergent sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/divergent-sequence/"
  },
  {
    "t": "0P3VCBDEE2",
    "n": "Ordered field",
    "k": "concept",
    "m": [
      "12J15"
    ],
    "u": "/wiki/ordered-field/"
  },
  {
    "t": "0P42JB4E3M",
    "n": "Glide reflection",
    "k": "definition",
    "m": [
      "51F20"
    ],
    "u": "/wiki/glide-reflection-definition/"
  },
  {
    "t": "0P4FTHHMYS",
    "n": "Standard deviation",
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/standard-deviation/"
  },
  {
    "t": "0P4JRMSWNH",
    "n": "Degree of a polynomial",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/degree-of-a-polynomial/"
  },
  {
    "t": "0P4NQD746K",
    "n": "Sine is 2π-periodic",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/sine-is-2-periodic/"
  },
  {
    "t": "0P4WX7Y502",
    "n": "Iterated integral",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/iterated-integral-definition/"
  },
  {
    "t": "0P506SPZP2",
    "n": "Non-commutativity of matrix multiplication",
    "k": "counterexample",
    "m": [
      "15A27"
    ],
    "u": "/wiki/non-commutativity-of-matrix-multiplication/"
  },
  {
    "t": "0P64VE79X3",
    "n": "A function with bounded derivative is Lipschitz",
    "k": "statement",
    "m": [
      "26A16"
    ],
    "u": "/wiki/a-function-with-bounded-derivative-is-lipschitz/"
  },
  {
    "t": "0P6KRD5B7A",
    "n": "Picard–Lindelöf theorem",
    "a": [
      "cauchy-lipschitz-theorem",
      "existence-and-uniqueness-theorem"
    ],
    "k": "statement",
    "m": [
      "34A12"
    ],
    "u": "/wiki/picard-lindelof-theorem/"
  },
  {
    "t": "0P6PMJB4MA",
    "n": "Compactness via open covers",
    "k": "statement",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compactness-via-open-covers/"
  },
  {
    "t": "0P6SBR7YM2",
    "n": "Simple extension",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/simple-extension-definition/"
  },
  {
    "t": "0P799D6AMN",
    "n": "Bilinear form",
    "k": "definition",
    "m": [
      "15A63"
    ],
    "u": "/wiki/bilinear-form-definition/"
  },
  {
    "t": "0P7A2MJD24",
    "n": "Coefficient matrix",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/coefficient-matrix-definition/"
  },
  {
    "t": "0P7CH1CND5",
    "n": "Characteristic of a ring",
    "k": "definition",
    "m": [
      "13A99"
    ],
    "u": "/wiki/characteristic-of-a-ring-definition/"
  },
  {
    "t": "0P7FZHXZ5S",
    "n": "Composition of an integer",
    "k": "concept",
    "m": [
      "05A17"
    ],
    "u": "/wiki/composition-of-an-integer/"
  },
  {
    "t": "0P7G9NGG2G",
    "n": "Faithful action",
    "a": [
      "effective-action"
    ],
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/faithful-action/"
  },
  {
    "t": "0P7PTC8DDE",
    "n": "Linearity of expectation",
    "a": [
      "expectation-is-linear"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/linearity-of-expectation/"
  },
  {
    "t": "0P84B554AS",
    "n": "Vandermonde determinant",
    "k": "statement",
    "m": [
      "15A15",
      "15B05"
    ],
    "u": "/wiki/vandermonde-determinant/"
  },
  {
    "t": "0P8BA7T7S5",
    "n": "Limit superior",
    "a": [
      "limsup"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limit-superior-definition/"
  },
  {
    "t": "0P8CY9V437",
    "n": "Action by conjugation",
    "k": "example",
    "m": [
      "20E45",
      "20B05"
    ],
    "u": "/wiki/action-by-conjugation/"
  },
  {
    "t": "0P953MG05E",
    "n": "Bounded set",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/bounded-set-definition/"
  },
  {
    "t": "0P97V20RW7",
    "n": "Ordinary differential equation",
    "a": [
      "ode"
    ],
    "k": "definition",
    "m": [
      "34A99"
    ],
    "u": "/wiki/ordinary-differential-equation-definition/"
  },
  {
    "t": "0P9BNBW2W3",
    "n": "The exponential function is positive",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/the-exponential-function-is-positive/"
  },
  {
    "t": "0P9DCDES73",
    "n": "Metric spaces are Hausdorff",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metric-spaces-are-hausdorff/"
  },
  {
    "t": "0P9T8WHNMH",
    "n": "Existence of a complementary subspace",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/existence-of-a-complementary-subspace/"
  },
  {
    "t": "0PAQM3H57X",
    "n": "Continuity is equivalent to sequential continuity",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/continuity-is-equivalent-to-sequential-continuity/"
  },
  {
    "t": "0PARCKE8WP",
    "n": "Sup norm on bounded continuous functions",
    "a": [
      "uniform-norm",
      "supremum-norm"
    ],
    "k": "example",
    "m": [
      "46E15"
    ],
    "u": "/wiki/sup-norm-on-bounded-continuous-functions/"
  },
  {
    "t": "0PASQ34GHG",
    "n": "Law of sines",
    "a": [
      "sine-rule"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/law-of-sines/"
  },
  {
    "t": "0PB7K8M7FG",
    "n": "Linear differential equation of order n",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-differential-equation-of-order-n-definition/"
  },
  {
    "t": "0PBFS92AJP",
    "n": "Jordan block",
    "k": "definition",
    "m": [
      "15A21"
    ],
    "u": "/wiki/jordan-block-definition/"
  },
  {
    "t": "0PBN8VEKY8",
    "n": "Annihilating polynomial",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/annihilating-polynomial/"
  },
  {
    "t": "0PBWWQD9KY",
    "n": "Monty Hall problem",
    "k": "problem",
    "m": [
      "60C05"
    ],
    "u": "/wiki/monty-hall-problem/"
  },
  {
    "t": "0PBY4E9GQF",
    "n": "Skew-symmetric matrix",
    "a": [
      "antisymmetric-matrix"
    ],
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/skew-symmetric-matrix/"
  },
  {
    "t": "0PCKBBMEXC",
    "n": "Order of the symmetric group",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/order-of-the-symmetric-group/"
  },
  {
    "t": "0PCV9EDJM2",
    "n": "Multinomial coefficient",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/multinomial-coefficient/"
  },
  {
    "t": "0PCVBRV9VJ",
    "n": "Fermat's theorem on stationary points",
    "a": [
      "interior-extremum-theorem"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/fermats-theorem-on-stationary-points/"
  },
  {
    "t": "0PD57PSHNR",
    "n": "Circuit",
    "k": "definition",
    "m": [
      "05C38"
    ],
    "u": "/wiki/circuit-definition/"
  },
  {
    "t": "0PDBVPP233",
    "n": "Converse of Lagrange's theorem fails for the alternating group A4",
    "k": "counterexample",
    "m": [
      "20D60"
    ],
    "u": "/wiki/converse-of-lagranges-theorem-fails-for-the-alternating-group-a4/"
  },
  {
    "t": "0PDVQEP0ZC",
    "n": "Matrix–vector product",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-vector-product/"
  },
  {
    "t": "0PEJH7AC74",
    "n": "Transitive closure",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/transitive-closure-definition/"
  },
  {
    "t": "0PF6TM8TWT",
    "n": "Algebraically closed field",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraically-closed-field/"
  },
  {
    "t": "0PFPWKBDTJ",
    "n": "Restriction of an endomorphism to an invariant subspace",
    "k": "definition",
    "m": [
      "15A04",
      "47A15"
    ],
    "u": "/wiki/restriction-of-an-endomorphism-to-an-invariant-subspace-definition/"
  },
  {
    "t": "0PG2H7WKGG",
    "n": "Divisibility",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/divisibility/"
  },
  {
    "t": "0PH0VHTQS0",
    "n": "Moment",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/moment-definition/"
  },
  {
    "t": "0PHAC833JF",
    "n": "Generating function",
    "k": "concept",
    "m": [
      "05A15"
    ],
    "u": "/wiki/generating-function/"
  },
  {
    "t": "0PHBS78HKT",
    "n": "First supplement to quadratic reciprocity",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/first-supplement-to-quadratic-reciprocity/"
  },
  {
    "t": "0PHC9FE2V5",
    "n": "Bernoulli trial",
    "a": [
      "binomial-trial"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/bernoulli-trial/"
  },
  {
    "t": "0PHDYNR24D",
    "n": "Null space",
    "k": "concept",
    "m": [
      "15A03",
      "15A06"
    ],
    "u": "/wiki/null-space/"
  },
  {
    "t": "0PHN07KVQT",
    "n": "Residue",
    "a": [
      "residue-of-a-function"
    ],
    "k": "concept",
    "m": [
      "30E20"
    ],
    "u": "/wiki/residue/"
  },
  {
    "t": "0PHT6NBYPB",
    "n": "Heine–Borel theorem in finite-dimensional normed spaces",
    "k": "statement",
    "m": [
      "46B20"
    ],
    "u": "/wiki/heine-borel-theorem-in-finite-dimensional-normed-spaces/"
  },
  {
    "t": "0PHTC93M58",
    "n": "Composition factors",
    "k": "concept",
    "m": [
      "20E15",
      "20D30"
    ],
    "u": "/wiki/composition-factors/"
  },
  {
    "t": "0PJXBR6QA3",
    "n": "Multi-index notation",
    "a": [
      "multi-index"
    ],
    "k": "concept",
    "m": [
      "26B99"
    ],
    "u": "/wiki/multi-index-notation/"
  },
  {
    "t": "0PK8QH1W1V",
    "n": "Alternating series test",
    "a": [
      "leibniz-test"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/alternating-series-test/"
  },
  {
    "t": "0PKG97PX9Y",
    "n": "Conservative vector field",
    "a": [
      "gradient-field"
    ],
    "k": "concept",
    "m": [
      "26B12"
    ],
    "u": "/wiki/conservative-vector-field/"
  },
  {
    "t": "0PKRYB8ATM",
    "n": "Limit of a function",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/limit-of-a-function/"
  },
  {
    "t": "0PM88Z9W4M",
    "n": "Projections are continuous",
    "k": "statement",
    "m": [
      "54B10"
    ],
    "u": "/wiki/projections-are-continuous/"
  },
  {
    "t": "0PMRQJVTME",
    "n": "Klein four-group",
    "a": [
      "vierergruppe"
    ],
    "k": "object",
    "m": [
      "20K01"
    ],
    "u": "/wiki/klein-four-group/"
  },
  {
    "t": "0PMT9YJZVW",
    "n": "Order of an inverse",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-an-inverse/"
  },
  {
    "t": "0PMY0YQYXX",
    "n": "The continued fraction of a rational number terminates",
    "k": "statement",
    "m": [
      "11A55"
    ],
    "u": "/wiki/the-continued-fraction-of-a-rational-number-terminates/"
  },
  {
    "t": "0PN13BB7BT",
    "n": "The Gaussian integers are a Euclidean domain",
    "k": "statement",
    "m": [
      "11R11"
    ],
    "u": "/wiki/the-gaussian-integers-are-a-euclidean-domain/"
  },
  {
    "t": "0PN2BXRS8G",
    "n": "Argument principle",
    "a": [
      "cauchys-argument-principle"
    ],
    "k": "statement",
    "m": [
      "30C15"
    ],
    "u": "/wiki/argument-principle/"
  },
  {
    "t": "0PN4QJE969",
    "n": "Farey sequence",
    "k": "definition",
    "m": [
      "11B57"
    ],
    "u": "/wiki/farey-sequence-definition/"
  },
  {
    "t": "0PN9WMRWT7",
    "n": "The constructible numbers form a field closed under square roots",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/the-constructible-numbers-form-a-field-closed-under-square-roots/"
  },
  {
    "t": "0PNPG2PP9H",
    "n": "Jordan's lemma",
    "a": [
      "jordan-lemma"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/jordans-lemma/"
  },
  {
    "t": "0PNRKMRC55",
    "n": "Random variable",
    "a": [
      "random-quantity",
      "stochastic-variable"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/random-variable/"
  },
  {
    "t": "0PNWCM559P",
    "n": "Interior is open",
    "k": "statement",
    "m": [
      "54A05"
    ],
    "u": "/wiki/interior-is-open/"
  },
  {
    "t": "0PP5ZAJPP7",
    "n": "Beta distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/beta-distribution-definition/"
  },
  {
    "t": "0PPG793642",
    "n": "Determinant is multilinear in the rows",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-is-multilinear-in-the-rows/"
  },
  {
    "t": "0PPP2J2DJV",
    "n": "Second isomorphism theorem",
    "a": [
      "diamond-isomorphism-theorem"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/second-isomorphism-theorem/"
  },
  {
    "t": "0PQ2GGY1QV",
    "n": "Null space",
    "k": "definition",
    "m": [
      "15A03",
      "15A06"
    ],
    "u": "/wiki/null-space-definition/"
  },
  {
    "t": "0PQEBTYDZM",
    "n": "Probability of the complement",
    "a": [
      "complement-rule"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/probability-of-the-complement/"
  },
  {
    "t": "0PQQGFAWSH",
    "n": "Alternating sum of binomial coefficients",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/alternating-sum-of-binomial-coefficients/"
  },
  {
    "t": "0PR5P9Z4KM",
    "n": "Principal axis theorem",
    "k": "statement",
    "m": [
      "15A63",
      "15A18"
    ],
    "u": "/wiki/principal-axis-theorem/"
  },
  {
    "t": "0PR88XHDMB",
    "n": "Dirichlet convolution of multiplicative functions is multiplicative",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/dirichlet-convolution-of-multiplicative-functions-is-multiplicative/"
  },
  {
    "t": "0PRAS55318",
    "n": "Angle between two vectors",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/angle-between-two-vectors-definition/"
  },
  {
    "t": "0PSKT5W817",
    "n": "Identity function",
    "a": [
      "identity-map"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/identity-function/"
  },
  {
    "t": "0PSRCMCM5X",
    "n": "Moore–Penrose inverse",
    "k": "definition",
    "m": [
      "15A09"
    ],
    "u": "/wiki/moore-penrose-inverse-definition/"
  },
  {
    "t": "0PT52XQZD7",
    "n": "Product of two subgroups",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/product-of-two-subgroups/"
  },
  {
    "t": "0PTBM7K0R2",
    "n": "Algebraic extension",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraic-extension/"
  },
  {
    "t": "0PTF1PTJK0",
    "n": "Endomorphism",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/endomorphism-definition/"
  },
  {
    "t": "0PTVNH4GPS",
    "n": "Linear congruence",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/linear-congruence/"
  },
  {
    "t": "0PV74TR5FP",
    "n": "Maximal ideal",
    "k": "concept",
    "m": [
      "13A15"
    ],
    "u": "/wiki/maximal-ideal/"
  },
  {
    "t": "0PVCTCKD3C",
    "n": "Expectation with respect to the binomial distribution",
    "a": [
      "mean-of-binomial-distribution"
    ],
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/expectation-with-respect-to-the-binomial-distribution/"
  },
  {
    "t": "0PVG1CRAJN",
    "n": "Injective function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/injective-function-definition/"
  },
  {
    "t": "0PVJRACB9H",
    "n": "The exponential series has infinite radius of convergence",
    "k": "statement",
    "m": [
      "30B10",
      "33B10"
    ],
    "u": "/wiki/the-exponential-series-has-infinite-radius-of-convergence/"
  },
  {
    "t": "0PWE3BCHVJ",
    "n": "Infinite set",
    "a": [
      "infinite"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/infinite-set/"
  },
  {
    "t": "0PWX18FM4G",
    "n": "Cauchy sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-sequence/"
  },
  {
    "t": "0PXN9G4MX1",
    "n": "Orthogonal complement of the orthogonal complement",
    "k": "statement",
    "m": [
      "46C05"
    ],
    "u": "/wiki/orthogonal-complement-of-the-orthogonal-complement/"
  },
  {
    "t": "0PXW0BN7DW",
    "n": "Commutator of two elements",
    "k": "concept",
    "m": [
      "20F12"
    ],
    "u": "/wiki/commutator-of-two-elements/"
  },
  {
    "t": "0PYEZM6CN9",
    "n": "Liouville number",
    "k": "concept",
    "m": [
      "11J81"
    ],
    "u": "/wiki/liouville-number/"
  },
  {
    "t": "0PYSR20HGF",
    "n": "Composition of relations",
    "a": [
      "relational-composition"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/composition-of-relations/"
  },
  {
    "t": "0PYW26VNT6",
    "n": "Affine subspace",
    "a": [
      "flat",
      "affine-subset"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-subspace/"
  },
  {
    "t": "0Q0H13G8ZB",
    "n": "Closed ball",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/closed-ball/"
  },
  {
    "t": "0Q0Z1BEXTF",
    "n": "Centraliser",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/centraliser-definition/"
  },
  {
    "t": "0Q1D85B8G6",
    "n": "Interval",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/interval/"
  },
  {
    "t": "0Q1FKQKTKJ",
    "n": "Exact equation",
    "a": [
      "exact-differential-equation"
    ],
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/exact-equation/"
  },
  {
    "t": "0Q2MDD13G4",
    "n": "Singular solution",
    "k": "concept",
    "m": [
      "34A09"
    ],
    "u": "/wiki/singular-solution/"
  },
  {
    "t": "0Q2MVQ7JMT",
    "n": "Internal direct product",
    "k": "definition",
    "m": [
      "20E34"
    ],
    "u": "/wiki/internal-direct-product-definition/"
  },
  {
    "t": "0Q2QC81VTW",
    "n": "Cumulant generating function",
    "k": "definition",
    "m": [
      "60E10"
    ],
    "u": "/wiki/cumulant-generating-function-definition/"
  },
  {
    "t": "0Q3AKZV74D",
    "n": "Stolz–Cesàro theorem",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/stolz-cesaro-theorem/"
  },
  {
    "t": "0Q3F20XB0A",
    "n": "Image of a set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/image-of-a-set-definition/"
  },
  {
    "t": "0Q3HYFT9RQ",
    "n": "Integral of a power",
    "k": "statement",
    "m": [
      "26A36"
    ],
    "u": "/wiki/integral-of-a-power/"
  },
  {
    "t": "0Q3ZT8J05R",
    "n": "Linear equation",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/linear-equation/"
  },
  {
    "t": "0Q4CBD3HX0",
    "n": "Domain",
    "a": [
      "domain-of-a-function"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/domain/"
  },
  {
    "t": "0Q4CJ5NAT1",
    "n": "Arc length parametrisation",
    "a": [
      "natural-parametrisation",
      "unit-speed-parametrisation"
    ],
    "k": "concept",
    "m": [
      "53A04"
    ],
    "u": "/wiki/arc-length-parametrisation/"
  },
  {
    "t": "0Q4DR37DVE",
    "n": "Uniform continuity",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/uniform-continuity-definition/"
  },
  {
    "t": "0Q4QJWEHW3",
    "n": "Second derivative",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/second-derivative/"
  },
  {
    "t": "0Q5A47J48D",
    "n": "Darboux's theorem",
    "a": [
      "intermediate-value-theorem-for-derivatives"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/darbouxs-theorem/"
  },
  {
    "t": "0Q5CG2NEQ8",
    "n": "Statistic",
    "a": [
      "sample-statistic"
    ],
    "k": "concept",
    "m": [
      "62A01"
    ],
    "u": "/wiki/statistic/"
  },
  {
    "t": "0Q5G5DJ4P2",
    "n": "Derived series",
    "k": "concept",
    "m": [
      "20F14"
    ],
    "u": "/wiki/derived-series/"
  },
  {
    "t": "0Q5NA8Y362",
    "n": "Galois group of a polynomial",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-group-of-a-polynomial/"
  },
  {
    "t": "0Q5SM60HTH",
    "n": "Permutation matrix",
    "k": "definition",
    "m": [
      "15A99",
      "05A05"
    ],
    "u": "/wiki/permutation-matrix-definition/"
  },
  {
    "t": "0Q70YFB6ZM",
    "n": "Regular graph",
    "k": "concept",
    "m": [
      "05C07"
    ],
    "u": "/wiki/regular-graph/"
  },
  {
    "t": "0Q7K4AXE53",
    "n": "The sequence r^n tends to zero for |r| \u003c 1",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/the-sequence-r-n-tends-to-zero-for-r-1/"
  },
  {
    "t": "0Q7M6K6VD7",
    "n": "Holomorphic functions with nonzero derivative are conformal",
    "a": [
      "holomorphic-maps-are-conformal"
    ],
    "k": "statement",
    "m": [
      "30C35"
    ],
    "u": "/wiki/holomorphic-functions-with-nonzero-derivative-are-conformal/"
  },
  {
    "t": "0Q7MMQHC1P",
    "n": "Nilpotent group",
    "k": "concept",
    "m": [
      "20F18"
    ],
    "u": "/wiki/nilpotent-group/"
  },
  {
    "t": "0Q88KQD17A",
    "n": "Conjugacy class",
    "k": "definition",
    "m": [
      "20E45"
    ],
    "u": "/wiki/conjugacy-class-definition/"
  },
  {
    "t": "0Q8BZXVT1Z",
    "n": "Orientation of a real vector space",
    "k": "definition",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/orientation-of-a-real-vector-space-definition/"
  },
  {
    "t": "0Q8DGAZSJ4",
    "n": "Third Sylow theorem",
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/third-sylow-theorem/"
  },
  {
    "t": "0Q8HZTJC7G",
    "n": "Orthogonal projection",
    "k": "definition",
    "m": [
      "15A04",
      "46C05"
    ],
    "u": "/wiki/orthogonal-projection-definition/"
  },
  {
    "t": "0Q8Y862DTZ",
    "n": "Outer automorphism group",
    "k": "concept",
    "m": [
      "20F28"
    ],
    "u": "/wiki/outer-automorphism-group/"
  },
  {
    "t": "0Q9EZS90GY",
    "n": "Polynomial ring",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/polynomial-ring-definition/"
  },
  {
    "t": "0Q9PGXD9E4",
    "n": "Diagonal matrix",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/diagonal-matrix-definition/"
  },
  {
    "t": "0QA1HBD9Z4",
    "n": "Convergence in probability",
    "k": "concept",
    "m": [
      "60F05"
    ],
    "u": "/wiki/convergence-in-probability/"
  },
  {
    "t": "0QA8CHH8MG",
    "n": "Field",
    "k": "definition",
    "m": [
      "12E99"
    ],
    "u": "/wiki/field-definition/"
  },
  {
    "t": "0QAJHFGZZJ",
    "n": "Uniqueness quantifier",
    "a": [
      "unique-existential-quantifier",
      "uniqueness-quantification"
    ],
    "k": "concept",
    "m": [
      "03B10"
    ],
    "u": "/wiki/uniqueness-quantifier/"
  },
  {
    "t": "0QAR0XDZH4",
    "n": "Joint probability distribution",
    "k": "definition",
    "m": [
      "62H05"
    ],
    "u": "/wiki/joint-probability-distribution-definition/"
  },
  {
    "t": "0QB913WM5E",
    "n": "Probability distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-distribution-definition/"
  },
  {
    "t": "0QBYFZV91P",
    "n": "Subspace metric",
    "a": [
      "induced-metric"
    ],
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/subspace-metric/"
  },
  {
    "t": "0QD4E5JYPT",
    "n": "Reciprocal rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/reciprocal-rule/"
  },
  {
    "t": "0QD83RAN8G",
    "n": "Contour line",
    "a": [
      "isoline",
      "contour-map",
      "level-curve-of-a-graph"
    ],
    "k": "concept",
    "m": [
      "26B99"
    ],
    "u": "/wiki/contour-line/"
  },
  {
    "t": "0QDXMG46QW",
    "n": "Characteristic equation",
    "a": [
      "auxiliary-equation"
    ],
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/characteristic-equation-definition/"
  },
  {
    "t": "0QE5PFJY7V",
    "n": "Equivalence relation induced by a function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-relation-induced-by-a-function-definition/"
  },
  {
    "t": "0QE8STGJH2",
    "n": "Sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sequence-definition/"
  },
  {
    "t": "0QEAJB91GZ",
    "n": "Closure",
    "a": [
      "closure-of-a-set"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/closure/"
  },
  {
    "t": "0QEBN8DGVE",
    "n": "Holomorphic functions are infinitely differentiable",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/holomorphic-functions-are-infinitely-differentiable/"
  },
  {
    "t": "0QED0GPYKY",
    "n": "Alternating series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/alternating-series/"
  },
  {
    "t": "0QEM68Y0DE",
    "n": "Cayley–Hamilton theorem for linear maps",
    "k": "statement",
    "m": [
      "15A04",
      "15A18"
    ],
    "u": "/wiki/cayley-hamilton-theorem-for-linear-maps/"
  },
  {
    "t": "0QF1MZ9FRG",
    "n": "Infimum",
    "a": [
      "greatest-lower-bound",
      "inf"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/infimum/"
  },
  {
    "t": "0QF4ZEFG52",
    "n": "Eigenvalues are the roots of the minimal polynomial",
    "k": "statement",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvalues-are-the-roots-of-the-minimal-polynomial/"
  },
  {
    "t": "0QFT7Z76N5",
    "n": "Peano axioms",
    "a": [
      "dedekind-peano-axioms",
      "peano-postulates"
    ],
    "k": "concept",
    "m": [
      "03F30"
    ],
    "u": "/wiki/peano-axioms/"
  },
  {
    "t": "0QFTETCHKB",
    "n": "The algebraic numbers form a field",
    "k": "statement",
    "m": [
      "11R04"
    ],
    "u": "/wiki/the-algebraic-numbers-form-a-field/"
  },
  {
    "t": "0QFV5Y1Z5X",
    "n": "Gauss's lemma",
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/gausss-lemma/"
  },
  {
    "t": "0QG0Q3NDT9",
    "n": "Fundamental solution of Pell's equation",
    "k": "concept",
    "m": [
      "11D09"
    ],
    "u": "/wiki/fundamental-solution-of-pells-equation/"
  },
  {
    "t": "0QG9C579SR",
    "n": "Removable discontinuity",
    "k": "definition",
    "m": [
      "26A15"
    ],
    "u": "/wiki/removable-discontinuity-definition/"
  },
  {
    "t": "0QH5ENKZM1",
    "n": "Stochastic process",
    "a": [
      "random-process"
    ],
    "k": "concept",
    "m": [
      "60G05"
    ],
    "u": "/wiki/stochastic-process/"
  },
  {
    "t": "0QHEWQD30B",
    "n": "Predicate",
    "a": [
      "propositional-function"
    ],
    "k": "concept",
    "m": [
      "03B10"
    ],
    "u": "/wiki/predicate/"
  },
  {
    "t": "0QHTX7WQEY",
    "n": "Differential form",
    "k": "definition",
    "m": [
      "58A10"
    ],
    "u": "/wiki/differential-form-definition/"
  },
  {
    "t": "0QHX5GGABE",
    "n": "Affine map",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-map-definition/"
  },
  {
    "t": "0QHZX1PK8V",
    "n": "Irrationality of pi",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrationality-of-pi/"
  },
  {
    "t": "0QJJAQ6ZYZ",
    "n": "Orientation of a real vector space",
    "k": "concept",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/orientation-of-a-real-vector-space/"
  },
  {
    "t": "0QK6K857HS",
    "n": "Matrix of a bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/matrix-of-a-bilinear-form/"
  },
  {
    "t": "0QK7FPE6VE",
    "n": "Dimension of the coordinate space",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/dimension-of-the-coordinate-space/"
  },
  {
    "t": "0QKA345AW1",
    "n": "Implicit differentiation",
    "a": [
      "implicit-derivative"
    ],
    "k": "concept",
    "m": [
      "26B10"
    ],
    "u": "/wiki/implicit-differentiation/"
  },
  {
    "t": "0QKJ6NT0R9",
    "n": "Derivative function",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative-function/"
  },
  {
    "t": "0QKPNZKNEA",
    "n": "Cardinal number",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinal-number-definition/"
  },
  {
    "t": "0QKVE1GD9A",
    "n": "Euclidean domains are principal ideal domains",
    "k": "statement",
    "m": [
      "13F07"
    ],
    "u": "/wiki/euclidean-domains-are-principal-ideal-domains/"
  },
  {
    "t": "0QM0T7T3PZ",
    "n": "Element",
    "a": [
      "member",
      "membership"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/element/"
  },
  {
    "t": "0QM2G72DXA",
    "n": "Product of rings",
    "a": [
      "direct-product-of-rings"
    ],
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/product-of-rings/"
  },
  {
    "t": "0QM4TXT3DR",
    "n": "Riemann integral",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-integral-definition/"
  },
  {
    "t": "0QM98DNWVW",
    "n": "The Galois group has order at most the degree",
    "k": "statement",
    "m": [
      "12F10"
    ],
    "u": "/wiki/the-galois-group-has-order-at-most-the-degree/"
  },
  {
    "t": "0QMYQ1X03H",
    "n": "Orthocentre",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/orthocentre-definition/"
  },
  {
    "t": "0QMZAQ6QQ4",
    "n": "Galois extension",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-extension/"
  },
  {
    "t": "0QN3D80AWP",
    "n": "Euclidean vector",
    "a": [
      "vector",
      "geometric-vector"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/euclidean-vector/"
  },
  {
    "t": "0QN69YA357",
    "n": "Contraction mapping",
    "a": [
      "contraction",
      "contraction-map"
    ],
    "k": "concept",
    "m": [
      "47H09"
    ],
    "u": "/wiki/contraction-mapping/"
  },
  {
    "t": "0QNFRBJF4Q",
    "n": "Constructible number",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/constructible-number/"
  },
  {
    "t": "0QNRBHWV35",
    "n": "Sample mean",
    "k": "definition",
    "m": [
      "62F10"
    ],
    "u": "/wiki/sample-mean-definition/"
  },
  {
    "t": "0QNVQ4VD9T",
    "n": "Lipschitz continuity",
    "k": "definition",
    "m": [
      "26A16"
    ],
    "u": "/wiki/lipschitz-continuity/"
  },
  {
    "t": "0QNY6ZBXPN",
    "n": "Ratio test",
    "a": [
      "d-alembert-ratio-test"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/ratio-test/"
  },
  {
    "t": "0QP2YYR79N",
    "n": "Transitive action",
    "a": [
      "transitive-group-action"
    ],
    "k": "definition",
    "m": [
      "20B05"
    ],
    "u": "/wiki/transitive-action-definition/"
  },
  {
    "t": "0QPHW703PV",
    "n": "Compact space",
    "k": "definition",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-space-definition/"
  },
  {
    "t": "0QPYHHNRXC",
    "n": "Von Dyck's theorem",
    "k": "statement",
    "m": [
      "20F05"
    ],
    "u": "/wiki/von-dycks-theorem/"
  },
  {
    "t": "0QQ0F12962",
    "n": "Cycle graph",
    "k": "example",
    "m": [
      "05C38"
    ],
    "u": "/wiki/cycle-graph/"
  },
  {
    "t": "0QQCG3JWJ4",
    "n": "Positive definite matrix",
    "k": "definition",
    "m": [
      "15B57",
      "15A63"
    ],
    "u": "/wiki/positive-definite-matrix-definition/"
  },
  {
    "t": "0QQMXFTX0A",
    "n": "Derivative of a map into a product",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/derivative-of-a-map-into-a-product/"
  },
  {
    "t": "0QQQQCPZA8",
    "n": "Number of odd-degree vertices is even",
    "k": "statement",
    "m": [
      "05C07"
    ],
    "u": "/wiki/number-of-odd-degree-vertices-is-even/"
  },
  {
    "t": "0QQRP17Z7S",
    "n": "Linear differential equation of order n",
    "a": [
      "linear-differential-equation"
    ],
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-differential-equation-of-order-n/"
  },
  {
    "t": "0QR92XBV6H",
    "n": "Asymptotic equivalence",
    "k": "concept",
    "m": [
      "41A60"
    ],
    "u": "/wiki/asymptotic-equivalence/"
  },
  {
    "t": "0QRBVFJ50X",
    "n": "Orthogonal matrix",
    "k": "definition",
    "m": [
      "15B10"
    ],
    "u": "/wiki/orthogonal-matrix-definition/"
  },
  {
    "t": "0QRCFZKXH8",
    "n": "In a UFD irreducible elements are prime",
    "k": "statement",
    "m": [
      "13F15"
    ],
    "u": "/wiki/in-a-ufd-irreducible-elements-are-prime/"
  },
  {
    "t": "0QRQVH0CRW",
    "n": "Upper and lower Darboux sums",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/upper-and-lower-darboux-sums-definition/"
  },
  {
    "t": "0QRRYXG7V7",
    "n": "Recurrence for derangements",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/recurrence-for-derangements/"
  },
  {
    "t": "0QRV8FPK5M",
    "n": "Residue class",
    "a": [
      "congruence-class"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/residue-class-definition/"
  },
  {
    "t": "0QS8P74F2Z",
    "n": "Semisimple endomorphism",
    "k": "definition",
    "m": [
      "15A04",
      "15A20"
    ],
    "u": "/wiki/semisimple-endomorphism-definition/"
  },
  {
    "t": "0QSPNASE50",
    "n": "The reals form an ordered field",
    "k": "statement",
    "m": [
      "12J15"
    ],
    "u": "/wiki/the-reals-form-an-ordered-field/"
  },
  {
    "t": "0QT00PB5G2",
    "n": "Homeomorphism",
    "a": [
      "topological-isomorphism",
      "homeomorphic-spaces"
    ],
    "k": "concept",
    "m": [
      "54C05"
    ],
    "u": "/wiki/homeomorphism/"
  },
  {
    "t": "0QTHB6PE52",
    "n": "The group of units of Z/pZ is cyclic",
    "k": "statement",
    "m": [
      "11A07",
      "20K01"
    ],
    "u": "/wiki/the-group-of-units-of-z-pz-is-cyclic/"
  },
  {
    "t": "0QTZDKJEDV",
    "n": "Frattini argument",
    "a": [
      "frattinis-argument"
    ],
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/frattini-argument/"
  },
  {
    "t": "0QV2JS9RJ3",
    "n": "Partial order",
    "a": [
      "poset",
      "partially-ordered-set"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/partial-order/"
  },
  {
    "t": "0QV9VNNB4Z",
    "n": "Distance in a graph",
    "k": "concept",
    "m": [
      "05C12"
    ],
    "u": "/wiki/distance-in-a-graph/"
  },
  {
    "t": "0QVD7WBFGN",
    "n": "Integral domain",
    "k": "concept",
    "m": [
      "13G05"
    ],
    "u": "/wiki/integral-domain/"
  },
  {
    "t": "0QVDWMKQ0T",
    "n": "Homothety",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/homothety-definition/"
  },
  {
    "t": "0QVNCJXRY3",
    "n": "Inner product space",
    "a": [
      "pre-hilbert-space"
    ],
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/inner-product-space/"
  },
  {
    "t": "0QW084460E",
    "n": "Dimension of a subspace",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/dimension-of-a-subspace/"
  },
  {
    "t": "0QW64ARSHB",
    "n": "Simply connected domain",
    "a": [
      "simply-connected-space"
    ],
    "k": "concept",
    "m": [
      "55Q05"
    ],
    "u": "/wiki/simply-connected-domain/"
  },
  {
    "t": "0QWR8WTZEW",
    "n": "Every element of a finite field of order q satisfies x^q = x",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/every-element-of-a-finite-field-of-order-q-satisfies-x-q-x/"
  },
  {
    "t": "0QX19C7K1C",
    "n": "Order of a zero",
    "a": [
      "multiplicity-of-a-zero"
    ],
    "k": "concept",
    "m": [
      "30C15"
    ],
    "u": "/wiki/order-of-a-zero/"
  },
  {
    "t": "0QX7E9KAAX",
    "n": "Tangent–secant theorem",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/tangent-secant-theorem/"
  },
  {
    "t": "0QXM0A9878",
    "n": "Picard–Lindelöf hypotheses",
    "k": "concept",
    "m": [
      "34A12"
    ],
    "u": "/wiki/picard-lindelof-hypotheses/"
  },
  {
    "t": "0QY87R9CY3",
    "n": "Convergent sequences are Cauchy",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-sequences-are-cauchy/"
  },
  {
    "t": "0QZCY9PE3Q",
    "n": "Presentation of a group",
    "a": [
      "generators-and-relations"
    ],
    "k": "definition",
    "m": [
      "20F05"
    ],
    "u": "/wiki/presentation-of-a-group-definition/"
  },
  {
    "t": "0QZMTN5AXX",
    "n": "Cauchy sequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-sequence-definition/"
  },
  {
    "t": "0R03B54V4Z",
    "n": "Fermat number",
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/fermat-number-definition/"
  },
  {
    "t": "0R0D0XY4HT",
    "n": "Coefficient of a power series",
    "k": "concept",
    "m": [
      "13F25"
    ],
    "u": "/wiki/coefficient-of-a-power-series/"
  },
  {
    "t": "0R0MYT0BJD",
    "n": "Continuity of the sum of a uniformly convergent series of functions",
    "k": "statement",
    "m": [
      "40A30",
      "26A15"
    ],
    "u": "/wiki/continuity-of-the-sum-of-a-uniformly-convergent-series-of-functions/"
  },
  {
    "t": "0R0T1VWH5X",
    "n": "Fubini's theorem",
    "a": [
      "fubini-theorem"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/fubinis-theorem/"
  },
  {
    "t": "0R0X73XHAT",
    "n": "Abelian groups are solvable",
    "k": "statement",
    "m": [
      "20F16"
    ],
    "u": "/wiki/abelian-groups-are-solvable/"
  },
  {
    "t": "0R2X8K9QA7",
    "n": "Content of a polynomial",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/content-of-a-polynomial/"
  },
  {
    "t": "0R37DFJKFW",
    "n": "Connected set",
    "k": "definition",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-set-definition/"
  },
  {
    "t": "0R3B7DX55J",
    "n": "T0 space",
    "k": "definition",
    "m": [
      "54D10"
    ],
    "u": "/wiki/t0-space-definition/"
  },
  {
    "t": "0R3H35G96G",
    "n": "Derived series",
    "k": "definition",
    "m": [
      "20F14"
    ],
    "u": "/wiki/derived-series-definition/"
  },
  {
    "t": "0R3H5PANRQ",
    "n": "Supremum",
    "a": [
      "least-upper-bound",
      "sup"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/supremum/"
  },
  {
    "t": "0R41PVFA39",
    "n": "Type I and type II errors",
    "k": "definition",
    "m": [
      "62F03"
    ],
    "u": "/wiki/type-i-and-type-ii-errors-definition/"
  },
  {
    "t": "0R46A1XY60",
    "n": "Almost surely",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/almost-surely-definition/"
  },
  {
    "t": "0R47MAD57S",
    "n": "Monoid",
    "k": "definition",
    "m": [
      "20M10"
    ],
    "u": "/wiki/monoid-definition/"
  },
  {
    "t": "0R5HTV7REV",
    "n": "Directed graph",
    "k": "definition",
    "m": [
      "05C20"
    ],
    "u": "/wiki/directed-graph-definition/"
  },
  {
    "t": "0R5QPQ3AGJ",
    "n": "Translation",
    "k": "definition",
    "m": [
      "51F20"
    ],
    "u": "/wiki/translation-definition/"
  },
  {
    "t": "0R64A2CVN4",
    "n": "Fraction in lowest terms",
    "a": [
      "irreducible-fraction",
      "reduced-fraction"
    ],
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/fraction-in-lowest-terms/"
  },
  {
    "t": "0R6EWFKRCF",
    "n": "Compact set",
    "a": [
      "compact-subset"
    ],
    "k": "concept",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-set/"
  },
  {
    "t": "0R6M158SQ9",
    "n": "Annihilator of a subspace",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/annihilator-of-a-subspace-definition/"
  },
  {
    "t": "0R74MZYNRB",
    "n": "Universal property of the quotient ring",
    "k": "statement",
    "m": [
      "16D25"
    ],
    "u": "/wiki/universal-property-of-the-quotient-ring/"
  },
  {
    "t": "0R7BTEWCJ2",
    "n": "Compact subsets of a metric space are bounded",
    "k": "statement",
    "m": [
      "54E45"
    ],
    "u": "/wiki/compact-subsets-of-a-metric-space-are-bounded/"
  },
  {
    "t": "0R7JS3DP3W",
    "n": "Symmetry of binomial coefficients",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/symmetry-of-binomial-coefficients/"
  },
  {
    "t": "0R7SVNYTJS",
    "n": "pi is greater than 3",
    "k": "statement",
    "m": [
      "11Y60"
    ],
    "u": "/wiki/pi-is-greater-than-3/"
  },
  {
    "t": "0R7VXTYHYZ",
    "n": "A linear isometry preserves the inner product",
    "k": "statement",
    "m": [
      "15A04",
      "46C05"
    ],
    "u": "/wiki/a-linear-isometry-preserves-the-inner-product/"
  },
  {
    "t": "0R84PF4JV7",
    "n": "Dimension of a tensor product",
    "k": "statement",
    "m": [
      "15A69",
      "15A03"
    ],
    "u": "/wiki/dimension-of-a-tensor-product/"
  },
  {
    "t": "0R8J3ZQMJS",
    "n": "Subsequence",
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/subsequence-definition/"
  },
  {
    "t": "0R8JR0ARJ4",
    "n": "Geometric series as a power series",
    "k": "example",
    "m": [
      "13F25"
    ],
    "u": "/wiki/geometric-series-as-a-power-series/"
  },
  {
    "t": "0R8X9XA83A",
    "n": "A linear map is determined by its values on a basis",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/a-linear-map-is-determined-by-its-values-on-a-basis/"
  },
  {
    "t": "0R8YXRC9AJ",
    "n": "Integers modulo a prime form a field",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/integers-modulo-a-prime-form-a-field/"
  },
  {
    "t": "0R9B0B5458",
    "n": "Characterization of the floor",
    "k": "statement",
    "m": [
      "26A09"
    ],
    "u": "/wiki/characterization-of-the-floor/"
  },
  {
    "t": "0R9D4CEJEB",
    "n": "Divisibility by 3",
    "k": "statement",
    "m": [
      "11A63"
    ],
    "u": "/wiki/divisibility-by-3/"
  },
  {
    "t": "0R9F850CTH",
    "n": "Gcd of Fibonacci numbers",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/gcd-of-fibonacci-numbers/"
  },
  {
    "t": "0R9GF3JD0K",
    "n": "Linear Diophantine equation",
    "k": "concept",
    "m": [
      "11D04"
    ],
    "u": "/wiki/linear-diophantine-equation/"
  },
  {
    "t": "0R9JR0465V",
    "n": "Dyck word",
    "k": "definition",
    "m": [
      "68Q45"
    ],
    "u": "/wiki/dyck-word-definition/"
  },
  {
    "t": "0R9NMSM1ZP",
    "n": "Adjoint of a linear map",
    "k": "concept",
    "m": [
      "15A04",
      "47A05"
    ],
    "u": "/wiki/adjoint-of-a-linear-map/"
  },
  {
    "t": "0R9PHTGVNW",
    "n": "One-sided derivative",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/one-sided-derivative/"
  },
  {
    "t": "0R9R0Y1HDK",
    "n": "Unitary group",
    "k": "object",
    "m": [
      "15B57",
      "20G20"
    ],
    "u": "/wiki/unitary-group/"
  },
  {
    "t": "0RAM4E07NR",
    "n": "Limit of a sum of sequences",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limit-of-a-sum-of-sequences/"
  },
  {
    "t": "0RAS24E1R5",
    "n": "Bernoulli number",
    "k": "definition",
    "m": [
      "11B68"
    ],
    "u": "/wiki/bernoulli-number-definition/"
  },
  {
    "t": "0RBKKNH4GV",
    "n": "Focus of a conic",
    "a": [
      "focus"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/focus-of-a-conic/"
  },
  {
    "t": "0RBQS1JJCR",
    "n": "Quadratic form",
    "k": "concept",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/quadratic-form/"
  },
  {
    "t": "0RBT5PB74K",
    "n": "Bessel's inequality",
    "k": "statement",
    "m": [
      "46C05"
    ],
    "u": "/wiki/bessels-inequality/"
  },
  {
    "t": "0RCKQN1E09",
    "n": "Cluster point of a sequence",
    "a": [
      "accumulation-point-of-a-sequence"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cluster-point-of-a-sequence-definition/"
  },
  {
    "t": "0RCP929Y1M",
    "n": "Cyclic quadrilateral",
    "a": [
      "inscribed-quadrilateral"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/cyclic-quadrilateral/"
  },
  {
    "t": "0RCQZ36MME",
    "n": "Indicator function",
    "a": [
      "characteristic-function"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/indicator-function/"
  },
  {
    "t": "0RCV1ZFP8G",
    "n": "Boolean ring",
    "k": "concept",
    "m": [
      "06E20"
    ],
    "u": "/wiki/boolean-ring/"
  },
  {
    "t": "0RDJK7EQYY",
    "n": "Ordinal number",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/ordinal-number-definition/"
  },
  {
    "t": "0RDP2HEFEW",
    "n": "Arccosine",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/arccosine-definition/"
  },
  {
    "t": "0RDRPBMNAC",
    "n": "Cesàro means of a convergent sequence converge",
    "k": "statement",
    "m": [
      "40G05"
    ],
    "u": "/wiki/cesaro-means-of-a-convergent-sequence-converge/"
  },
  {
    "t": "0RE6X3BGPN",
    "n": "Space of matrices",
    "k": "example",
    "m": [
      "15A03"
    ],
    "u": "/wiki/space-of-matrices/"
  },
  {
    "t": "0REMT01N36",
    "n": "Generating function of a sum of independent random variables",
    "a": [
      "pgf-of-sum-of-independent-random-variables"
    ],
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/generating-function-of-a-sum-of-independent-random-variables/"
  },
  {
    "t": "0RFMMBHFTV",
    "n": "Chi-squared distribution",
    "k": "definition",
    "m": [
      "60E05",
      "62E15"
    ],
    "u": "/wiki/chi-squared-distribution-definition/"
  },
  {
    "t": "0RFP7F3SEW",
    "n": "Composition factors",
    "k": "definition",
    "m": [
      "20E15",
      "20D30"
    ],
    "u": "/wiki/composition-factors-definition/"
  },
  {
    "t": "0RFWW56Y22",
    "n": "Cauchy–Schwarz inequality",
    "k": "statement",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/cauchy-schwarz-inequality/"
  },
  {
    "t": "0RG9SPQSWM",
    "n": "Subgroup generated by a subset",
    "a": [
      "generated-subgroup",
      "subgroup-closure"
    ],
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/subgroup-generated-by-a-subset-definition/"
  },
  {
    "t": "0RGGF8ZS6D",
    "n": "Stabiliser",
    "k": "definition",
    "m": [
      "20B05"
    ],
    "u": "/wiki/stabiliser-definition/"
  },
  {
    "t": "0RGWYWWBM5",
    "n": "Incircle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/incircle-definition/"
  },
  {
    "t": "0RGZ10DFPG",
    "n": "Submodule",
    "k": "definition",
    "m": [
      "16D10"
    ],
    "u": "/wiki/submodule-definition/"
  },
  {
    "t": "0RH1TPDGCQ",
    "n": "Torsion subgroup",
    "k": "definition",
    "m": [
      "20K10"
    ],
    "u": "/wiki/torsion-subgroup-definition/"
  },
  {
    "t": "0RH4E3CAV9",
    "n": "Projection",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/projection-definition/"
  },
  {
    "t": "0RJ5NHWYTP",
    "n": "Picard iteration",
    "a": [
      "successive-approximations"
    ],
    "k": "concept",
    "m": [
      "34A12",
      "34A45"
    ],
    "u": "/wiki/picard-iteration/"
  },
  {
    "t": "0RJ5TZH6G0",
    "n": "Limit of the cumulative distribution function at infinity",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/limit-of-the-cumulative-distribution-function-at-infinity/"
  },
  {
    "t": "0RJF668P1T",
    "n": "Linear map",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-map-definition/"
  },
  {
    "t": "0RJMNEN3BJ",
    "n": "Symmetric group",
    "a": [
      "permutation-group-of-a-set"
    ],
    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/symmetric-group-definition/"
  },
  {
    "t": "0RJSBR9GW1",
    "n": "Totally disconnected space",
    "k": "concept",
    "m": [
      "54D05"
    ],
    "u": "/wiki/totally-disconnected-space/"
  },
  {
    "t": "0RJZV05MJA",
    "n": "Polar coordinates",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/polar-coordinates-definition/"
  },
  {
    "t": "0RKB5MKC05",
    "n": "Circumcircle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/circumcircle-definition/"
  },
  {
    "t": "0RKF1ZT5JJ",
    "n": "Complement",
    "a": [
      "absolute-complement"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/complement/"
  },
  {
    "t": "0RKG5YW66Y",
    "n": "LU decomposition",
    "a": [
      "lu-factorization"
    ],
    "k": "concept",
    "m": [
      "15A23",
      "65F05"
    ],
    "u": "/wiki/lu-decomposition/"
  },
  {
    "t": "0RKQQQACY7",
    "n": "Slope field",
    "a": [
      "direction-field"
    ],
    "k": "definition",
    "m": [
      "34A26"
    ],
    "u": "/wiki/slope-field-definition/"
  },
  {
    "t": "0RKW2X63YR",
    "n": "Logarithm is the inverse of the exponential",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/logarithm-is-the-inverse-of-the-exponential/"
  },
  {
    "t": "0RMKABS2S5",
    "n": "Sum of subspaces",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/sum-of-subspaces-definition/"
  },
  {
    "t": "0RMVS7RXZX",
    "n": "Exponential function",
    "k": "definition",
    "m": [
      "33B10",
      "26A09"
    ],
    "u": "/wiki/exponential-function-definition/"
  },
  {
    "t": "0RN00NTM3S",
    "n": "Inner automorphism",
    "k": "concept",
    "m": [
      "20F28"
    ],
    "u": "/wiki/inner-automorphism/"
  },
  {
    "t": "0RN765S7DH",
    "n": "Proper metric space",
    "a": [
      "heine-borel-metric-space"
    ],
    "k": "concept",
    "m": [
      "54E45"
    ],
    "u": "/wiki/proper-metric-space/"
  },
  {
    "t": "0RN88KZBJ3",
    "n": "Homogeneous first-order equation",
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/homogeneous-first-order-equation/"
  },
  {
    "t": "0RNGDMHT7M",
    "n": "Complex power",
    "a": [
      "complex-exponentiation",
      "cpow"
    ],
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-power/"
  },
  {
    "t": "0RNMP6VCR2",
    "n": "Complement graph",
    "k": "definition",
    "m": [
      "05C76"
    ],
    "u": "/wiki/complement-graph-definition/"
  },
  {
    "t": "0RNXVVTJTJ",
    "n": "Damped harmonic oscillator",
    "k": "example",
    "m": [
      "70J30"
    ],
    "u": "/wiki/damped-harmonic-oscillator/"
  },
  {
    "t": "0RP20HFYM3",
    "n": "Positive definite quadratic form",
    "k": "concept",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/positive-definite-quadratic-form/"
  },
  {
    "t": "0RP7VWQ0YN",
    "n": "Subgroup generated by a subset",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/subgroup-generated-by-a-subset/"
  },
  {
    "t": "0RPDTWY2JS",
    "n": "Trace of a linear map",
    "k": "definition",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/trace-of-a-linear-map-definition/"
  },
  {
    "t": "0RQ8DHHR8V",
    "n": "Cantor set is homeomorphic to the space of binary sequences",
    "k": "statement",
    "m": [
      "54F65"
    ],
    "u": "/wiki/cantor-set-is-homeomorphic-to-the-space-of-binary-sequences/"
  },
  {
    "t": "0RQPZZ44T4",
    "n": "Identity element",
    "k": "definition",
    "m": [
      "08A02"
    ],
    "u": "/wiki/identity-element-definition/"
  },
  {
    "t": "0RQSNVTFVZ",
    "n": "Prime-counting function",
    "k": "concept",
    "m": [
      "11N05"
    ],
    "u": "/wiki/prime-counting-function/"
  },
  {
    "t": "0RRNVX1VKA",
    "n": "Wedderburn's little theorem",
    "k": "statement",
    "m": [
      "12E15"
    ],
    "u": "/wiki/wedderburns-little-theorem/"
  },
  {
    "t": "0RRWNMYRXC",
    "n": "Fixed points of an action",
    "a": [
      "fixed-point-set"
    ],
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/fixed-points-of-an-action/"
  },
  {
    "t": "0RT96J4D3H",
    "n": "Linear form",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-form-definition/"
  },
  {
    "t": "0RV3AEXPT6",
    "n": "Focus of a conic",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/focus-of-a-conic-definition/"
  },
  {
    "t": "0RVD9R2V99",
    "n": "Cauchy product",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-product/"
  },
  {
    "t": "0RVRNR7KA1",
    "n": "Gaussian prime",
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/gaussian-prime/"
  },
  {
    "t": "0RVYE75E2M",
    "n": "Converse",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/converse-definition/"
  },
  {
    "t": "0RW8KPMXF6",
    "n": "Spherical coordinates",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/spherical-coordinates-definition/"
  },
  {
    "t": "0RW9TNNT87",
    "n": "Orthonormal family",
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthonormal-family/"
  },
  {
    "t": "0RWE7CPJ32",
    "n": "Probability theory",
    "a": [
      "probability-calculus"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/probability-theory/"
  },
  {
    "t": "0RWKYX8339",
    "n": "Cartesian coordinate system",
    "a": [
      "cartesian-coordinates",
      "rectangular-coordinates"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/cartesian-coordinate-system/"
  },
  {
    "t": "0RWMRTPC87",
    "n": "Jensen's inequality",
    "k": "statement",
    "m": [
      "26D15"
    ],
    "u": "/wiki/jensens-inequality/"
  },
  {
    "t": "0RWQ5VZ6VQ",
    "n": "Every infinite set has a countably infinite subset",
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/every-infinite-set-has-a-countably-infinite-subset/"
  },
  {
    "t": "0RX7DDBYCK",
    "n": "Image of an intersection",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/image-of-an-intersection/"
  },
  {
    "t": "0RXD6EZYBK",
    "n": "Distributivity of matrix multiplication",
    "k": "statement",
    "m": [
      "15A99"
    ],
    "u": "/wiki/distributivity-of-matrix-multiplication/"
  },
  {
    "t": "0RXK2Z808Q",
    "n": "A continuous nowhere differentiable function",
    "k": "counterexample",
    "m": [
      "26A27"
    ],
    "u": "/wiki/a-continuous-nowhere-differentiable-function/"
  },
  {
    "t": "0RXKW044R4",
    "n": "Completely multiplicative function",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/completely-multiplicative-function/"
  },
  {
    "t": "0RXS8R6K37",
    "n": "Preorder",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/preorder-definition/"
  },
  {
    "t": "0RXX2PT1MQ",
    "n": "Chain rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/chain-rule/"
  },
  {
    "t": "0RY0B72XAS",
    "n": "Structure theorem for finitely generated abelian groups",
    "a": [
      "fundamental-theorem-of-finitely-generated-abelian-groups"
    ],
    "k": "statement",
    "m": [
      "20K25"
    ],
    "u": "/wiki/structure-theorem-for-finitely-generated-abelian-groups/"
  },
  {
    "t": "0RY4GGMEQG",
    "n": "Lucas's theorem",
    "k": "statement",
    "m": [
      "11B65"
    ],
    "u": "/wiki/lucass-theorem/"
  },
  {
    "t": "0RYTGBJAGN",
    "n": "Big O notation",
    "a": [
      "landau-big-o"
    ],
    "k": "definition",
    "m": [
      "41A60"
    ],
    "u": "/wiki/big-o-notation-definition/"
  },
  {
    "t": "0RYYK8PG4S",
    "n": "Law of excluded middle",
    "a": [
      "excluded-middle",
      "tertium-non-datur"
    ],
    "k": "statement",
    "m": [
      "03B05"
    ],
    "u": "/wiki/law-of-excluded-middle/"
  },
  {
    "t": "0RZ89QWTSJ",
    "n": "Separable polynomial",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/separable-polynomial/"
  },
  {
    "t": "0RZCTT30H5",
    "n": "A nontrivial finite p-group has nontrivial centre",
    "k": "statement",
    "m": [
      "20D15"
    ],
    "u": "/wiki/a-nontrivial-finite-p-group-has-nontrivial-centre/"
  },
  {
    "t": "0RZH6W98HK",
    "n": "Interior",
    "a": [
      "interior-of-a-set"
    ],
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/interior/"
  },
  {
    "t": "0RZYDVZ475",
    "n": "Principal ideal domain",
    "k": "definition",
    "m": [
      "13F10"
    ],
    "u": "/wiki/principal-ideal-domain-definition/"
  },
  {
    "t": "0S049HG1W5",
    "n": "Power-reduction formula for cosine",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/power-reduction-formula-for-cosine/"
  },
  {
    "t": "0S13V32CPB",
    "n": "Addition of natural numbers",
    "k": "concept",
    "m": [
      "03F30"
    ],
    "u": "/wiki/addition-of-natural-numbers/"
  },
  {
    "t": "0S166D363M",
    "n": "Wedge product of forms",
    "k": "definition",
    "m": [
      "15A75"
    ],
    "u": "/wiki/wedge-product-of-forms-definition/"
  },
  {
    "t": "0S19CWFZM2",
    "n": "Size of an orbit times the size of the stabiliser",
    "k": "statement",
    "m": [
      "20B05"
    ],
    "u": "/wiki/size-of-an-orbit-times-the-size-of-the-stabiliser/"
  },
  {
    "t": "0S1FJ8VEX9",
    "n": "Hausdorff space",
    "a": [
      "t2-space",
      "separated-space"
    ],
    "k": "concept",
    "m": [
      "54D10"
    ],
    "u": "/wiki/hausdorff-space/"
  },
  {
    "t": "0S1KG0XE40",
    "n": "Variation of constants formula for linear systems",
    "a": [
      "duhamel-formula"
    ],
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/variation-of-constants-formula-for-linear-systems/"
  },
  {
    "t": "0S21GNW9ZB",
    "n": "Image of a homomorphism",
    "a": [
      "range-of-a-homomorphism"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/image-of-a-homomorphism/"
  },
  {
    "t": "0S23E6YE83",
    "n": "Kernel of a linear map",
    "a": [
      "null-space-of-a-map"
    ],
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/kernel-of-a-linear-map/"
  },
  {
    "t": "0S29Y4ZW0Y",
    "n": "Surface area",
    "k": "concept",
    "m": [
      "28A75"
    ],
    "u": "/wiki/surface-area/"
  },
  {
    "t": "0S2SYHTWPY",
    "n": "Smallest prime factor",
    "a": [
      "least-prime-factor",
      "minfac"
    ],
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/smallest-prime-factor-definition/"
  },
  {
    "t": "0S2TEHX4E1",
    "n": "Discrete topology",
    "a": [
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    ],
    "k": "example",
    "m": [
      "54A05"
    ],
    "u": "/wiki/discrete-topology/"
  },
  {
    "t": "0S3SMRH0Z5",
    "n": "Continuous linear map",
    "k": "definition",
    "m": [
      "47B01"
    ],
    "u": "/wiki/continuous-linear-map-definition/"
  },
  {
    "t": "0S4EMDQS2F",
    "n": "Abel's theorem",
    "a": [
      "abel-limit-theorem"
    ],
    "k": "statement",
    "m": [
      "40A30"
    ],
    "u": "/wiki/abels-theorem/"
  },
  {
    "t": "0S4JF619V7",
    "n": "Convergent sequences are bounded",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-sequences-are-bounded/"
  },
  {
    "t": "0S4WTRE9GG",
    "n": "Inverse of a product",
    "k": "statement",
    "m": [
      "15A09"
    ],
    "u": "/wiki/inverse-of-a-product/"
  },
  {
    "t": "0S4ZEZM7KE",
    "n": "Spanning tree",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/spanning-tree/"
  },
  {
    "t": "0S52TNNTH9",
    "n": "Dot product",
    "a": [
      "scalar-product"
    ],
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/dot-product/"
  },
  {
    "t": "0S60DVMVPN",
    "n": "Upper bound",
    "a": [
      "lower-bound",
      "bounded-above"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/upper-bound/"
  },
  {
    "t": "0S61N75H45",
    "n": "Root of unity",
    "k": "definition",
    "m": [
      "11R18"
    ],
    "u": "/wiki/root-of-unity-definition/"
  },
  {
    "t": "0S6GMNJ62Y",
    "n": "Biconditional",
    "a": [
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      "iff"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/biconditional/"
  },
  {
    "t": "0S6T9KQNC0",
    "n": "Confidence interval",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "62F25"
    ],
    "u": "/wiki/confidence-interval/"
  },
  {
    "t": "0S706JBZBG",
    "n": "Midpoint",
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/midpoint/"
  },
  {
    "t": "0S7495H4HM",
    "n": "Order of the group of units of Z/nZ is Euler's totient",
    "k": "statement",
    "m": [
      "11A07",
      "11A25"
    ],
    "u": "/wiki/order-of-the-group-of-units-of-z-nz-is-eulers-totient/"
  },
  {
    "t": "0S7A0EMPF4",
    "n": "Algebraic multiplicity",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/algebraic-multiplicity-definition/"
  },
  {
    "t": "0S7G92KKA7",
    "n": "Indeterminate form",
    "k": "concept",
    "m": [
      "26A03"
    ],
    "u": "/wiki/indeterminate-form/"
  },
  {
    "t": "0S7W6EG32V",
    "n": "External direct sum",
    "k": "concept",
    "m": [
      "15A03",
      "16D10"
    ],
    "u": "/wiki/external-direct-sum/"
  },
  {
    "t": "0S7Y9Q990Q",
    "n": "Centre of a group",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/centre-of-a-group-definition/"
  },
  {
    "t": "0S8FE7ZMFM",
    "n": "Chain",
    "a": [
      "totally-ordered-subset"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/chain/"
  },
  {
    "t": "0S8WX8A4V9",
    "n": "Hartman–Grobman theorem",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "37C15",
      "34C20"
    ],
    "u": "/wiki/hartman-grobman-theorem/"
  },
  {
    "t": "0S9EK5MQPE",
    "n": "Continuity in R^n",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/continuity-in-r-n-definition/"
  },
  {
    "t": "0S9GGTR0EX",
    "n": "Orthonormal basis",
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthonormal-basis/"
  },
  {
    "t": "0S9ZVZ34MD",
    "n": "Correspondence theorem",
    "a": [
      "lattice-theorem",
      "fourth-isomorphism-theorem"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/correspondence-theorem/"
  },
  {
    "t": "0SAAHC36J9",
    "n": "Generalised eigenvector",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/generalised-eigenvector-definition/"
  },
  {
    "t": "0SAMR34WXC",
    "n": "Derivative of tangent",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivative-of-tangent/"
  },
  {
    "t": "0SAR26CKPS",
    "n": "Dirichlet convolution formula",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/dirichlet-convolution-formula/"
  },
  {
    "t": "0SB7Q8SYSF",
    "n": "Perfect number",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/perfect-number-definition/"
  },
  {
    "t": "0SB9FNZECG",
    "n": "Path component",
    "k": "definition",
    "m": [
      "54D05"
    ],
    "u": "/wiki/path-component-definition/"
  },
  {
    "t": "0SBRX5CZ5R",
    "n": "Multiplicative order",
    "a": [
      "order-modulo-n"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/multiplicative-order-definition/"
  },
  {
    "t": "0SC8T7548D",
    "n": "Golden ratio",
    "k": "object",
    "m": [
      "11B39"
    ],
    "u": "/wiki/golden-ratio/"
  },
  {
    "t": "0SCSQWXRA4",
    "n": "Hessian matrix",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/hessian-matrix-definition/"
  },
  {
    "t": "0SD237FEJD",
    "n": "Gradient theorem",
    "a": [
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      "fundamental-theorem-of-calculus-for-line-integrals"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/gradient-theorem/"
  },
  {
    "t": "0SD528P0EK",
    "n": "Minor",
    "k": "definition",
    "m": [
      "15A15"
    ],
    "u": "/wiki/minor-definition/"
  },
  {
    "t": "0SDC934R52",
    "n": "Polynomial ring",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/polynomial-ring/"
  },
  {
    "t": "0SDFXN1VDQ",
    "n": "Dihedral angle",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/dihedral-angle-definition/"
  },
  {
    "t": "0SDMPMCN43",
    "n": "Multilinear map",
    "k": "definition",
    "m": [
      "15A69"
    ],
    "u": "/wiki/multilinear-map-definition/"
  },
  {
    "t": "0SEDGXG9S3",
    "n": "Cross product",
    "k": "definition",
    "m": [
      "15A72"
    ],
    "u": "/wiki/cross-product-definition/"
  },
  {
    "t": "0SEX9F9J5Z",
    "n": "Order of a group",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-a-group-definition/"
  },
  {
    "t": "0SEZ3JGZP7",
    "n": "Countably infinite set",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/countably-infinite-set-definition/"
  },
  {
    "t": "0SF85PY0QN",
    "n": "Product rule in several variables",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/product-rule-in-several-variables/"
  },
  {
    "t": "0SG74WBFA2",
    "n": "Möbius transformation",
    "a": [
      "mobius-transformation",
      "linear-fractional-transformation",
      "fractional-linear-transformation"
    ],
    "k": "concept",
    "m": [
      "30C35"
    ],
    "u": "/wiki/mobius-transformation/"
  },
  {
    "t": "0SGTMBEWRF",
    "n": "Equivalence relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-relation-definition/"
  },
  {
    "t": "0SH5VT8QYA",
    "n": "Basis of a tensor product",
    "k": "statement",
    "m": [
      "15A69"
    ],
    "u": "/wiki/basis-of-a-tensor-product/"
  },
  {
    "t": "0SHC6Z304Z",
    "n": "Closure is the smallest closed superset",
    "k": "statement",
    "m": [
      "54A05"
    ],
    "u": "/wiki/closure-is-the-smallest-closed-superset/"
  },
  {
    "t": "0SHMC00RJV",
    "n": "Split polynomial",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/split-polynomial-definition/"
  },
  {
    "t": "0SHPXM2HWH",
    "n": "Pendulum equation",
    "k": "example",
    "m": [
      "70K05",
      "34C15"
    ],
    "u": "/wiki/pendulum-equation/"
  },
  {
    "t": "0SJ3RX9TXA",
    "n": "Set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/set-definition/"
  },
  {
    "t": "0SJ7Z6VKWK",
    "n": "Continued fraction expansion of a real number",
    "k": "definition",
    "m": [
      "11A55"
    ],
    "u": "/wiki/continued-fraction-expansion-of-a-real-number-definition/"
  },
  {
    "t": "0SJNCJCCQG",
    "n": "Falling factorial",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/falling-factorial/"
  },
  {
    "t": "0SK1VHZ5R2",
    "n": "Irreducibility of the cyclotomic polynomials over the rationals",
    "k": "statement",
    "m": [
      "11R18"
    ],
    "u": "/wiki/irreducibility-of-the-cyclotomic-polynomials-over-the-rationals/"
  },
  {
    "t": "0SK90238BH",
    "n": "Sign of a permutation",
    "a": [
      "sgn"
    ],
    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/sign-of-a-permutation-definition/"
  },
  {
    "t": "0SKVEMXJWF",
    "n": "Stability of linear systems via eigenvalues",
    "k": "statement",
    "m": [
      "34D20",
      "34A30"
    ],
    "u": "/wiki/stability-of-linear-systems-via-eigenvalues/"
  },
  {
    "t": "0SKYFQAFYD",
    "n": "General solution and particular solution",
    "k": "concept",
    "m": [
      "34A05"
    ],
    "u": "/wiki/general-solution-and-particular-solution/"
  },
  {
    "t": "0SM1REAVYJ",
    "n": "Edge bound for planar graphs",
    "k": "statement",
    "m": [
      "05C10"
    ],
    "u": "/wiki/edge-bound-for-planar-graphs/"
  },
  {
    "t": "0SN0MAEKYX",
    "n": "Prime number",
    "a": [
      "prime"
    ],
    "k": "definition",
    "m": [
      "11A41"
    ],
    "u": "/wiki/prime-number-definition/"
  },
  {
    "t": "0SNJM8HSD3",
    "n": "Erdős–Szekeres theorem",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/erdos-szekeres-theorem/"
  },
  {
    "t": "0SNQEF7Z53",
    "n": "Bijective function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/bijective-function-definition/"
  },
  {
    "t": "0SP14DZN0G",
    "n": "Primitive polynomial",
    "k": "definition",
    "m": [
      "13F20"
    ],
    "u": "/wiki/primitive-polynomial-definition/"
  },
  {
    "t": "0SP7P0G7KQ",
    "n": "A space is the direct sum of a subspace and its orthogonal complement",
    "k": "statement",
    "m": [
      "46C05"
    ],
    "u": "/wiki/a-space-is-the-direct-sum-of-a-subspace-and-its-orthogonal-complement/"
  },
  {
    "t": "0SPBEDVNW1",
    "n": "Existence of a prime divisor",
    "k": "statement",
    "m": [
      "11A41"
    ],
    "u": "/wiki/existence-of-a-prime-divisor/"
  },
  {
    "t": "0SPBPW3K61",
    "n": "Hypergeometric distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/hypergeometric-distribution-definition/"
  },
  {
    "t": "0SPE8WNWFV",
    "n": "Connected set",
    "a": [
      "connected-subset"
    ],
    "k": "concept",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-set/"
  },
  {
    "t": "0SPYAGE7T0",
    "n": "Change of basis for a bilinear form",
    "k": "statement",
    "m": [
      "15A63",
      "15A21"
    ],
    "u": "/wiki/change-of-basis-for-a-bilinear-form/"
  },
  {
    "t": "0SPYEFH7H4",
    "n": "The Gaussian integers form a Euclidean domain",
    "k": "statement",
    "m": [
      "11R11"
    ],
    "u": "/wiki/the-gaussian-integers-form-a-euclidean-domain/"
  },
  {
    "t": "0SPZ1H3N9V",
    "n": "Refinement of a partition",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/refinement-of-a-partition/"
  },
  {
    "t": "0SQ1F2BEDS",
    "n": "Branch of the logarithm",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/branch-of-the-logarithm-definition/"
  },
  {
    "t": "0SQ2PC596Y",
    "n": "Open map",
    "k": "definition",
    "m": [
      "54C10"
    ],
    "u": "/wiki/open-map-definition/"
  },
  {
    "t": "0SQDB87Z3T",
    "n": "Quadratic residue",
    "a": [
      "quadratic-nonresidue"
    ],
    "k": "definition",
    "m": [
      "11A15"
    ],
    "u": "/wiki/quadratic-residue-definition/"
  },
  {
    "t": "0SQSQP748R",
    "n": "Principal value of the argument",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/principal-value-of-the-argument/"
  },
  {
    "t": "0SQTMQTSRZ",
    "n": "Even and odd permutations",
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/even-and-odd-permutations/"
  },
  {
    "t": "0SQV2VJTGY",
    "n": "Parallelepiped",
    "k": "concept",
    "m": [
      "51M20"
    ],
    "u": "/wiki/parallelepiped/"
  },
  {
    "t": "0SQZMXB6GP",
    "n": "Bilinear form",
    "k": "concept",
    "m": [
      "15A63"
    ],
    "u": "/wiki/bilinear-form/"
  },
  {
    "t": "0SRATCFF1W",
    "n": "Subgroups of the integers",
    "k": "statement",
    "m": [
      "20K27"
    ],
    "u": "/wiki/subgroups-of-the-integers/"
  },
  {
    "t": "0SRE7K4E49",
    "n": "Characteristic subgroups are normal",
    "k": "statement",
    "m": [
      "20F28"
    ],
    "u": "/wiki/characteristic-subgroups-are-normal/"
  },
  {
    "t": "0SRWNR42BQ",
    "n": "Convergents of a continued fraction",
    "k": "definition",
    "m": [
      "11A55"
    ],
    "u": "/wiki/convergents-of-a-continued-fraction-definition/"
  },
  {
    "t": "0SRYJGXKR4",
    "n": "Convergence in distribution",
    "a": [
      "weak-convergence-of-random-variables",
      "convergence-in-law"
    ],
    "k": "concept",
    "m": [
      "60F05"
    ],
    "u": "/wiki/convergence-in-distribution/"
  },
  {
    "t": "0SS1P1YC9A",
    "n": "First integral",
    "k": "definition",
    "m": [
      "34A05",
      "34C14"
    ],
    "u": "/wiki/first-integral-definition/"
  },
  {
    "t": "0SS770NS8B",
    "n": "Differentiation as a linear map",
    "k": "example",
    "m": [
      "15A04",
      "12E10"
    ],
    "u": "/wiki/differentiation-as-a-linear-map/"
  },
  {
    "t": "0SSKBQN58M",
    "n": "Hurwitz's theorem",
    "a": [
      "hurwitz-theorem-complex-analysis"
    ],
    "k": "statement",
    "m": [
      "30C15"
    ],
    "u": "/wiki/hurwitzs-theorem/"
  },
  {
    "t": "0SSS6ERQ0S",
    "n": "Estimator",
    "a": [
      "point-estimator"
    ],
    "k": "concept",
    "m": [
      "62F10"
    ],
    "u": "/wiki/estimator/"
  },
  {
    "t": "0SSSM1D475",
    "n": "The degree of a constructible number is a power of two",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/the-degree-of-a-constructible-number-is-a-power-of-two/"
  },
  {
    "t": "0ST21PGDAP",
    "n": "Almost surely",
    "a": [
      "almost-sure",
      "with-probability-one"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/almost-surely/"
  },
  {
    "t": "0ST8QF9T3T",
    "n": "Adjoint of a linear map",
    "k": "definition",
    "m": [
      "15A04",
      "47A05"
    ],
    "u": "/wiki/adjoint-of-a-linear-map-definition/"
  },
  {
    "t": "0STK8KEY9G",
    "n": "Moments are derivatives of the moment-generating function at zero",
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/moments-are-derivatives-of-the-moment-generating-function-at-zero/"
  },
  {
    "t": "0STPPDXGME",
    "n": "C^1 functions are strictly differentiable",
    "a": [
      "continuously-differentiable-implies-strictly-differentiable"
    ],
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/c-1-functions-are-strictly-differentiable/"
  },
  {
    "t": "0STX0WRDNG",
    "n": "Density of the rationals",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/density-of-the-rationals/"
  },
  {
    "t": "0SV8K0TDGY",
    "n": "Sigma-algebra",
    "a": [
      "sigma-field"
    ],
    "k": "concept",
    "m": [
      "28A05"
    ],
    "u": "/wiki/sigma-algebra/"
  },
  {
    "t": "0SVN6X695K",
    "n": "Almost sure convergence implies convergence in probability",
    "k": "statement",
    "m": [
      "60F15"
    ],
    "u": "/wiki/almost-sure-convergence-implies-convergence-in-probability/"
  },
  {
    "t": "0SVR29SV1V",
    "n": "Quotient space",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/quotient-space-definition/"
  },
  {
    "t": "0SVX98HYV1",
    "n": "Primitive element theorem",
    "k": "statement",
    "m": [
      "12F10"
    ],
    "u": "/wiki/primitive-element-theorem/"
  },
  {
    "t": "0SVYSP8HCG",
    "n": "Principal ideal",
    "k": "concept",
    "m": [
      "13A15"
    ],
    "u": "/wiki/principal-ideal/"
  },
  {
    "t": "0SWTJ5VC07",
    "n": "Linear equation with constant coefficients",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-equation-with-constant-coefficients/"
  },
  {
    "t": "0SWXJHKJ02",
    "n": "Sample space",
    "a": [
      "sample-description-space",
      "possibility-space"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/sample-space/"
  },
  {
    "t": "0SXDHQM2MH",
    "n": "Möbius transformations map circles and lines to circles and lines",
    "a": [
      "mobius-maps-preserve-generalized-circles"
    ],
    "k": "statement",
    "m": [
      "30C35"
    ],
    "u": "/wiki/mobius-transformations-map-circles-and-lines-to-circles-and-lines/"
  },
  {
    "t": "0SXDQ6TN00",
    "n": "Dimension of a quotient space",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/dimension-of-a-quotient-space/"
  },
  {
    "t": "0SXHBTNM9T",
    "n": "Acyclic graph",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/acyclic-graph/"
  },
  {
    "t": "0SXZ68HV6F",
    "n": "Integral of 1/z around the unit circle",
    "a": [
      "contour-integral-of-1-over-z"
    ],
    "k": "example",
    "m": [
      "30E20"
    ],
    "u": "/wiki/integral-of-1-z-around-the-unit-circle/"
  },
  {
    "t": "0SY9ECQ19Q",
    "n": "Continuous map of topological spaces",
    "a": [
      "continuous-map"
    ],
    "k": "definition",
    "m": [
      "54C05"
    ],
    "u": "/wiki/continuous-map-of-topological-spaces/"
  },
  {
    "t": "0SYR10HD4R",
    "n": "Cauchy principal value",
    "a": [
      "principal-value-integral"
    ],
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/cauchy-principal-value/"
  },
  {
    "t": "0SZ1KMNWVE",
    "n": "Order of the alternating group",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/order-of-the-alternating-group/"
  },
  {
    "t": "0SZCSYHW60",
    "n": "Miller–Rabin primality test",
    "a": [
      "rabin-miller-primality-test"
    ],
    "k": "concept",
    "m": [
      "11Y11"
    ],
    "u": "/wiki/miller-rabin-primality-test/"
  },
  {
    "t": "0T0EJDGHMB",
    "n": "Normal convergence",
    "k": "definition",
    "m": [
      "40A30"
    ],
    "u": "/wiki/normal-convergence-definition/"
  },
  {
    "t": "0T0F6CCS9W",
    "n": "Degree of a vertex",
    "k": "definition",
    "m": [
      "05C07"
    ],
    "u": "/wiki/degree-of-a-vertex-definition/"
  },
  {
    "t": "0T0JWJ3M47",
    "n": "Bertrand paradox",
    "a": [
      "bertrands-paradox"
    ],
    "k": "example",
    "m": [
      "60D05"
    ],
    "u": "/wiki/bertrand-paradox/"
  },
  {
    "t": "0T0KMZPYV9",
    "n": "Normal core",
    "k": "definition",
    "m": [
      "20D25"
    ],
    "u": "/wiki/normal-core-definition/"
  },
  {
    "t": "0T0X8GTYYS",
    "n": "Determinant is a coefficient of the characteristic polynomial",
    "k": "statement",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/determinant-is-a-coefficient-of-the-characteristic-polynomial/"
  },
  {
    "t": "0T13HM377F",
    "n": "Alternating group",
    "k": "definition",
    "m": [
      "20B30"
    ],
    "u": "/wiki/alternating-group-definition/"
  },
  {
    "t": "0T1BSD7H3M",
    "n": "Infinitely many primes congruent to 1 modulo n",
    "k": "statement",
    "m": [
      "11N13"
    ],
    "u": "/wiki/infinitely-many-primes-congruent-to-1-modulo-n/"
  },
  {
    "t": "0T1Q8D0FW8",
    "n": "Fundamental theorem of Galois theory",
    "k": "statement",
    "m": [
      "12F10"
    ],
    "u": "/wiki/fundamental-theorem-of-galois-theory/"
  },
  {
    "t": "0T233AZ1GE",
    "n": "Degree of a product",
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/degree-of-a-product/"
  },
  {
    "t": "0T2NTJCV83",
    "n": "Least element",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/least-element-definition/"
  },
  {
    "t": "0T2WYDTRP2",
    "n": "Subspace metric",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/subspace-metric-definition/"
  },
  {
    "t": "0T32ME0A6H",
    "n": "Power series of arctangent",
    "a": [
      "gregory-series"
    ],
    "k": "statement",
    "m": [
      "30B10",
      "33B10"
    ],
    "u": "/wiki/power-series-of-arctangent/"
  },
  {
    "t": "0T36P6TXQ6",
    "n": "Distributive lattice",
    "k": "definition",
    "m": [
      "06D05"
    ],
    "u": "/wiki/distributive-lattice-definition/"
  },
  {
    "t": "0T3DPBG981",
    "n": "Predicate",
    "k": "definition",
    "m": [
      "03B10"
    ],
    "u": "/wiki/predicate-definition/"
  },
  {
    "t": "0T3GK0XCBC",
    "n": "Phase portrait",
    "k": "concept",
    "m": [
      "34C05",
      "37C10"
    ],
    "u": "/wiki/phase-portrait/"
  },
  {
    "t": "0T3RZQXDYD",
    "n": "Limit superior",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/limit-superior/"
  },
  {
    "t": "0T3WVTD675",
    "n": "Frobenius endomorphism",
    "k": "concept",
    "m": [
      "13A35"
    ],
    "u": "/wiki/frobenius-endomorphism/"
  },
  {
    "t": "0T4EJ8ZJM9",
    "n": "Dirichlet function",
    "k": "counterexample",
    "m": [
      "26A15"
    ],
    "u": "/wiki/dirichlet-function/"
  },
  {
    "t": "0T4QHJXSD4",
    "n": "The cross product is perpendicular to its factors",
    "k": "statement",
    "m": [
      "15A72"
    ],
    "u": "/wiki/the-cross-product-is-perpendicular-to-its-factors/"
  },
  {
    "t": "0T6D4PE51C",
    "n": "Clairaut's equation",
    "k": "example",
    "m": [
      "34A09"
    ],
    "u": "/wiki/clairauts-equation/"
  },
  {
    "t": "0T6MWGZSXA",
    "n": "Augmented matrix",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/augmented-matrix/"
  },
  {
    "t": "0T6WS7TT77",
    "n": "First Borel–Cantelli lemma",
    "a": [
      "borel-cantelli-lemma"
    ],
    "k": "statement",
    "m": [
      "60F20"
    ],
    "u": "/wiki/first-borel-cantelli-lemma/"
  },
  {
    "t": "0T71SSYZ39",
    "n": "Cauchy–Riemann equations",
    "a": [
      "cauchy-riemann-conditions"
    ],
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/cauchy-riemann-equations/"
  },
  {
    "t": "0T7ABX4CWE",
    "n": "Circle integral",
    "k": "definition",
    "m": [
      "30E20"
    ],
    "u": "/wiki/circle-integral-definition/"
  },
  {
    "t": "0T7DX8NY1X",
    "n": "Tangent line to a circle",
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/tangent-line-to-a-circle/"
  },
  {
    "t": "0T89W1QZ9K",
    "n": "Integration in polar coordinates",
    "a": [
      "polar-change-of-variables"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/integration-in-polar-coordinates/"
  },
  {
    "t": "0T8BYAFEXX",
    "n": "The characteristic function determines the distribution",
    "a": [
      "uniqueness-theorem-for-characteristic-functions",
      "levy-inversion-formula"
    ],
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/the-characteristic-function-determines-the-distribution/"
  },
  {
    "t": "0T8M3YC5RG",
    "n": "Existence of finite fields of every prime power order",
    "k": "statement",
    "m": [
      "12E20"
    ],
    "u": "/wiki/existence-of-finite-fields-of-every-prime-power-order/"
  },
  {
    "t": "0T92VGGVWP",
    "n": "Bernoulli equation",
    "k": "concept",
    "m": [
      "34A34"
    ],
    "u": "/wiki/bernoulli-equation/"
  },
  {
    "t": "0TA7WT68RK",
    "n": "Carmichael number",
    "a": [
      "absolute-pseudoprime"
    ],
    "k": "definition",
    "m": [
      "11A51"
    ],
    "u": "/wiki/carmichael-number-definition/"
  },
  {
    "t": "0TB16T2C97",
    "n": "Axiom of extensionality",
    "a": [
      "extensionality"
    ],
    "k": "statement",
    "m": [
      "03E30"
    ],
    "u": "/wiki/axiom-of-extensionality/"
  },
  {
    "t": "0TBYMWPWWB",
    "n": "The successor function is injective",
    "k": "statement",
    "m": [
      "03F30"
    ],
    "u": "/wiki/the-successor-function-is-injective/"
  },
  {
    "t": "0TC99BRSSB",
    "n": "Dirac's theorem on Hamiltonian cycles",
    "k": "statement",
    "m": [
      "05C45"
    ],
    "u": "/wiki/diracs-theorem-on-hamiltonian-cycles/"
  },
  {
    "t": "0TCBZMEYGN",
    "n": "C^k function characterised by continuous derivatives",
    "k": "statement",
    "m": [
      "26B05"
    ],
    "u": "/wiki/c-k-function-characterised-by-continuous-derivatives/"
  },
  {
    "t": "0TCHAS04WK",
    "n": "Convex hull",
    "k": "definition",
    "m": [
      "52A20"
    ],
    "u": "/wiki/convex-hull-definition/"
  },
  {
    "t": "0TD904MG06",
    "n": "Orientable surface",
    "a": [
      "two-sided-surface"
    ],
    "k": "concept",
    "m": [
      "53A05"
    ],
    "u": "/wiki/orientable-surface/"
  },
  {
    "t": "0TDY6JZHKS",
    "n": "Product of the gcd and the lcm",
    "k": "statement",
    "m": [
      "11A05"
    ],
    "u": "/wiki/product-of-the-gcd-and-the-lcm/"
  },
  {
    "t": "0TEDQH56RW",
    "n": "Remainder theorem",
    "a": [
      "polynomial-remainder-theorem"
    ],
    "k": "statement",
    "m": [
      "13F20"
    ],
    "u": "/wiki/remainder-theorem/"
  },
  {
    "t": "0TEJ6QF7K9",
    "n": "Affine space",
    "k": "definition",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-space-definition/"
  },
  {
    "t": "0TFDZN6AXP",
    "n": "p-metric on R^n",
    "a": [
      "lp-metric"
    ],
    "k": "example",
    "m": [
      "46B20"
    ],
    "u": "/wiki/p-metric-on-r-n/"
  },
  {
    "t": "0TGV80E6A4",
    "n": "Big O notation",
    "k": "concept",
    "m": [
      "41A60"
    ],
    "u": "/wiki/big-o-notation/"
  },
  {
    "t": "0TH61JR04G",
    "n": "Derangement",
    "k": "definition",
    "m": [
      "05A05"
    ],
    "u": "/wiki/derangement-definition/"
  },
  {
    "t": "0TH78S7GBZ",
    "n": "Arc length",
    "k": "concept",
    "m": [
      "26A42",
      "53A04"
    ],
    "u": "/wiki/arc-length/"
  },
  {
    "t": "0TH9CPW3VS",
    "n": "Reduction of a higher-order equation to a first-order system",
    "k": "statement",
    "m": [
      "34A99"
    ],
    "u": "/wiki/reduction-of-a-higher-order-equation-to-a-first-order-system/"
  },
  {
    "t": "0THBK9V825",
    "n": "Function composition",
    "a": [
      "composite-function",
      "composition-of-functions"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/function-composition/"
  },
  {
    "t": "0THJ7416DX",
    "n": "Conditional independence",
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/conditional-independence/"
  },
  {
    "t": "0TJ1V9DDPC",
    "n": "Third isomorphism theorem",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/third-isomorphism-theorem/"
  },
  {
    "t": "0TJ8QBJX5K",
    "n": "Term-by-term differentiation",
    "k": "statement",
    "m": [
      "40A30",
      "26A24"
    ],
    "u": "/wiki/term-by-term-differentiation/"
  },
  {
    "t": "0TK8Y3J5RW",
    "n": "Interval",
    "k": "definition",
    "m": [
      "26A03"
    ],
    "u": "/wiki/interval-definition/"
  },
  {
    "t": "0TK9MCFHBW",
    "n": "Cylindrical coordinates",
    "a": [
      "cylindrical-coordinate-system"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/cylindrical-coordinates/"
  },
  {
    "t": "0TKG7T3K0E",
    "n": "Bounded derivative on a convex set implies Lipschitz",
    "k": "statement",
    "m": [
      "26B35"
    ],
    "u": "/wiki/bounded-derivative-on-a-convex-set-implies-lipschitz/"
  },
  {
    "t": "0TKP3TDD02",
    "n": "Bell numbers",
    "k": "concept",
    "m": [
      "11B73"
    ],
    "u": "/wiki/bell-numbers/"
  },
  {
    "t": "0TKYAEJ8N7",
    "n": "Orthogonal group",
    "k": "object",
    "m": [
      "15B10",
      "20G20"
    ],
    "u": "/wiki/orthogonal-group/"
  },
  {
    "t": "0TKZCSGCCA",
    "n": "Minimum degree",
    "k": "definition",
    "m": [
      "05C07"
    ],
    "u": "/wiki/minimum-degree-definition/"
  },
  {
    "t": "0TMZ21WKCN",
    "n": "Lipschitz map",
    "a": [
      "lipschitz-function"
    ],
    "k": "definition",
    "m": [
      "26A16"
    ],
    "u": "/wiki/lipschitz-map/"
  },
  {
    "t": "0TMZ89Q5KA",
    "n": "Set-builder notation",
    "a": [
      "set-comprehension"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/set-builder-notation/"
  },
  {
    "t": "0TNR9BQ871",
    "n": "Powers of a diagonalisable matrix",
    "k": "concept",
    "m": [
      "15A20",
      "15A16"
    ],
    "u": "/wiki/powers-of-a-diagonalisable-matrix/"
  },
  {
    "t": "0TNS65QB87",
    "n": "Prime subfield",
    "a": [
      "prime-field"
    ],
    "k": "concept",
    "m": [
      "12E99"
    ],
    "u": "/wiki/prime-subfield/"
  },
  {
    "t": "0TNZC55X3J",
    "n": "Partial derivatives do not imply differentiability",
    "k": "counterexample",
    "m": [
      "26B05"
    ],
    "u": "/wiki/partial-derivatives-do-not-imply-differentiability/"
  },
  {
    "t": "0TP2QKJ8DE",
    "n": "Circumcentre",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/circumcentre-definition/"
  },
  {
    "t": "0TPW25CBN6",
    "n": "Congruence modulo n",
    "a": [
      "congruence",
      "modular-congruence"
    ],
    "k": "definition",
    "m": [
      "11A07"
    ],
    "u": "/wiki/congruence-modulo-n-definition/"
  },
  {
    "t": "0TPWS0K1BC",
    "n": "An algebraic extension of an algebraic extension is algebraic",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/an-algebraic-extension-of-an-algebraic-extension-is-algebraic/"
  },
  {
    "t": "0TR9SR9FTB",
    "n": "Strictly monotone function",
    "a": [
      "strictly-increasing-function",
      "strictly-decreasing-function"
    ],
    "k": "definition",
    "m": [
      "26A48"
    ],
    "u": "/wiki/strictly-monotone-function-definition/"
  },
  {
    "t": "0TRNT4X7J0",
    "n": "Euclidean algorithm",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/euclidean-algorithm/"
  },
  {
    "t": "0TS7VZJBWD",
    "n": "Orthogonal vectors",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthogonal-vectors-definition/"
  },
  {
    "t": "0TST4MHA3A",
    "n": "Law of a random variable",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/law-of-a-random-variable-definition/"
  },
  {
    "t": "0TTA57SEJG",
    "n": "Convergence in mean",
    "k": "definition",
    "m": [
      "60F25"
    ],
    "u": "/wiki/convergence-in-mean-definition/"
  },
  {
    "t": "0TTDGTEFMN",
    "n": "Conditional expectation",
    "a": [
      "conditional-mean",
      "conditional-expected-value"
    ],
    "k": "concept",
    "m": [
      "60A10"
    ],
    "u": "/wiki/conditional-expectation/"
  },
  {
    "t": "0TTNRP5PFQ",
    "n": "Estimator",
    "k": "definition",
    "m": [
      "62F10"
    ],
    "u": "/wiki/estimator-definition/"
  },
  {
    "t": "0TV07AQT62",
    "n": "Real exponentiation",
    "k": "definition",
    "m": [
      "26A09",
      "33B10"
    ],
    "u": "/wiki/real-exponentiation-definition/"
  },
  {
    "t": "0TVJZYB6SH",
    "n": "Compact space",
    "k": "concept",
    "m": [
      "54D30"
    ],
    "u": "/wiki/compact-space/"
  },
  {
    "t": "0TWPTQ0AD7",
    "n": "Incentre",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/incentre-definition/"
  },
  {
    "t": "0TWQ5PRKWS",
    "n": "Equivalent metrics",
    "a": [
      "topologically-equivalent-metrics"
    ],
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/equivalent-metrics-definition/"
  },
  {
    "t": "0TWTS88TWN",
    "n": "Invertible matrix",
    "k": "definition",
    "m": [
      "15A09"
    ],
    "u": "/wiki/invertible-matrix-definition/"
  },
  {
    "t": "0TX2YH2FQS",
    "n": "Symmetric bilinear form associated with a quadratic form",
    "k": "definition",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/symmetric-bilinear-form-associated-with-a-quadratic-form-definition/"
  },
  {
    "t": "0TXCQ9CST1",
    "n": "Integration over a non-rectangular region",
    "a": [
      "integral-over-a-normal-domain",
      "type-i-and-type-ii-regions"
    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/integration-over-a-non-rectangular-region/"
  },
  {
    "t": "0TXNRQZY0H",
    "n": "Primitive polynomial",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/primitive-polynomial/"
  },
  {
    "t": "0TXTSEMHR5",
    "n": "Limit of a function",
    "k": "definition",
    "m": [
      "26A03"
    ],
    "u": "/wiki/limit-of-a-function-definition/"
  },
  {
    "t": "0TXWV1JGG1",
    "n": "Product of a subgroup and a normal subgroup is a subgroup",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/product-of-a-subgroup-and-a-normal-subgroup-is-a-subgroup/"
  },
  {
    "t": "0TYB3HM9KE",
    "n": "Isolated singularity",
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/isolated-singularity-definition/"
  },
  {
    "t": "0TYMASG33Y",
    "n": "Characteristic polynomial does not depend on the basis",
    "k": "statement",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/characteristic-polynomial-does-not-depend-on-the-basis/"
  },
  {
    "t": "0TYQNHVB4C",
    "n": "Surjective iff it has a right inverse",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/surjective-iff-it-has-a-right-inverse/"
  },
  {
    "t": "0TZ2DPT0JV",
    "n": "Principal part",
    "a": [
      "principal-part-of-a-laurent-series",
      "singular-part"
    ],
    "k": "concept",
    "m": [
      "30B10"
    ],
    "u": "/wiki/principal-part/"
  },
  {
    "t": "0TZAG60ZYT",
    "n": "Row rank equals column rank",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/row-rank-equals-column-rank/"
  },
  {
    "t": "0TZEEFTNCC",
    "n": "Maximal element",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/maximal-element-definition/"
  },
  {
    "t": "0TZK91NQE3",
    "n": "The sequence r^n tends to infinity for r \u003e 1",
    "k": "example",
    "m": [
      "40A05"
    ],
    "u": "/wiki/the-sequence-r-n-tends-to-infinity-for-r-1/"
  },
  {
    "t": "0V032VWTHD",
    "n": "Connected space",
    "a": [
      "connectedness"
    ],
    "k": "concept",
    "m": [
      "54D05"
    ],
    "u": "/wiki/connected-space/"
  },
  {
    "t": "0V05FC4GKQ",
    "n": "Induced subgraph",
    "k": "definition",
    "m": [
      "05C99"
    ],
    "u": "/wiki/induced-subgraph-definition/"
  },
  {
    "t": "0V0778DCW9",
    "n": "Variance of a sum of independent random variables",
    "a": [
      "bienayme-formula"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/variance-of-a-sum-of-independent-random-variables/"
  },
  {
    "t": "0V0E04DWX2",
    "n": "Sign of a cycle",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/sign-of-a-cycle/"
  },
  {
    "t": "0V0GC7BQAN",
    "n": "Complete bipartite graph",
    "k": "example",
    "m": [
      "05C99"
    ],
    "u": "/wiki/complete-bipartite-graph/"
  },
  {
    "t": "0V11FEXK08",
    "n": "Frobenius coin problem",
    "a": [
      "coin-problem",
      "frobenius-number"
    ],
    "k": "statement",
    "m": [
      "11D07"
    ],
    "u": "/wiki/frobenius-coin-problem/"
  },
  {
    "t": "0V1EJCT8G6",
    "n": "Derivative",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/derivative/"
  },
  {
    "t": "0V2DV29EGT",
    "n": "Derivative of cosine",
    "k": "statement",
    "m": [
      "33B10",
      "26A24"
    ],
    "u": "/wiki/derivative-of-cosine/"
  },
  {
    "t": "0V2H5PGJ9B",
    "n": "Aleph-null",
    "a": [
      "aleph-zero",
      "aleph-nought"
    ],
    "k": "object",
    "m": [
      "03E10"
    ],
    "u": "/wiki/aleph-null/"
  },
  {
    "t": "0V2WP9B1MF",
    "n": "Norm",
    "k": "concept",
    "m": [
      "46B20"
    ],
    "u": "/wiki/norm/"
  },
  {
    "t": "0V33BNKZ9S",
    "n": "Smooth function",
    "k": "concept",
    "m": [
      "26E10"
    ],
    "u": "/wiki/smooth-function/"
  },
  {
    "t": "0V33SPH7RR",
    "n": "Intersection of subspaces",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/intersection-of-subspaces/"
  },
  {
    "t": "0V3CFG1KK9",
    "n": "Semigroup",
    "k": "definition",
    "m": [
      "20M10"
    ],
    "u": "/wiki/semigroup-definition/"
  },
  {
    "t": "0V3FZMVB4K",
    "n": "Gamma function",
    "k": "definition",
    "m": [
      "33B15"
    ],
    "u": "/wiki/gamma-function-definition/"
  },
  {
    "t": "0V3RDQV3ZX",
    "n": "Cauchy principal value",
    "k": "definition",
    "m": [
      "26A42"
    ],
    "u": "/wiki/cauchy-principal-value-definition/"
  },
  {
    "t": "0V3XAMF3C1",
    "n": "Plane",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/plane/"
  },
  {
    "t": "0V49JEZW06",
    "n": "Laplace transform",
    "k": "concept",
    "m": [
      "44A10"
    ],
    "u": "/wiki/laplace-transform/"
  },
  {
    "t": "0V4DET59NW",
    "n": "Continuous real function on a compact set attains its bounds",
    "a": [
      "extreme-value-theorem"
    ],
    "k": "statement",
    "m": [
      "54C30"
    ],
    "u": "/wiki/continuous-real-function-on-a-compact-set-attains-its-bounds/"
  },
  {
    "t": "0V4E623THY",
    "n": "Separable equation",
    "k": "definition",
    "m": [
      "34A05"
    ],
    "u": "/wiki/separable-equation-definition/"
  },
  {
    "t": "0V4QXPGJQK",
    "n": "Vacuous truth",
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/vacuous-truth/"
  },
  {
    "t": "0V4VB6MQDC",
    "n": "Fibonacci numbers as sums of binomial coefficients",
    "k": "statement",
    "m": [
      "11B39"
    ],
    "u": "/wiki/fibonacci-numbers-as-sums-of-binomial-coefficients/"
  },
  {
    "t": "0V4VSCBXP3",
    "n": "Mean squared error",
    "k": "definition",
    "m": [
      "62F10"
    ],
    "u": "/wiki/mean-squared-error-definition/"
  },
  {
    "t": "0V547YQRMV",
    "n": "Subgroups of index two are normal",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/subgroups-of-index-two-are-normal/"
  },
  {
    "t": "0V58FPM3EQ",
    "n": "Minimal polynomial",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/minimal-polynomial-definition/"
  },
  {
    "t": "0V5B6D6BQH",
    "n": "Characteristic function",
    "a": [
      "characteristic-function-of-random-variable"
    ],
    "k": "concept",
    "m": [
      "60E10"
    ],
    "u": "/wiki/characteristic-function/"
  },
  {
    "t": "0V5GYWR8R8",
    "n": "Leading coefficient",
    "k": "concept",
    "m": [
      "13F20"
    ],
    "u": "/wiki/leading-coefficient/"
  },
  {
    "t": "0V63D9V0FY",
    "n": "Regular polygon",
    "k": "definition",
    "m": [
      "51M20"
    ],
    "u": "/wiki/regular-polygon-definition/"
  },
  {
    "t": "0V6GAWTBYW",
    "n": "Biconditional",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/biconditional-definition/"
  },
  {
    "t": "0V7090SSPC",
    "n": "Regular curve",
    "a": [
      "regular-parametrised-curve"
    ],
    "k": "concept",
    "m": [
      "53A04"
    ],
    "u": "/wiki/regular-curve/"
  },
  {
    "t": "0V7E9KP6Q2",
    "n": "Square root function",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/square-root-function-definition/"
  },
  {
    "t": "0V7G6WMFK0",
    "n": "Covariance matrix",
    "a": [
      "variance-covariance-matrix",
      "dispersion-matrix"
    ],
    "k": "concept",
    "m": [
      "62H05"
    ],
    "u": "/wiki/covariance-matrix/"
  },
  {
    "t": "0V7ZD6P7RK",
    "n": "Standard basis",
    "a": [
      "canonical-basis"
    ],
    "k": "object",
    "m": [
      "15A03"
    ],
    "u": "/wiki/standard-basis/"
  },
  {
    "t": "0V8046R0P9",
    "n": "Quotient topology",
    "k": "definition",
    "m": [
      "54B15"
    ],
    "u": "/wiki/quotient-topology-definition/"
  },
  {
    "t": "0V8F3E48E6",
    "n": "Linear combination",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/linear-combination/"
  },
  {
    "t": "0V948DE5KA",
    "n": "Logarithm of a power",
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/logarithm-of-a-power/"
  },
  {
    "t": "0V94H674MB",
    "n": "Determinant of a family of vectors in a basis",
    "k": "definition",
    "m": [
      "15A15",
      "15A75"
    ],
    "u": "/wiki/determinant-of-a-family-of-vectors-in-a-basis-definition/"
  },
  {
    "t": "0V98WY94B8",
    "n": "First Sylow theorem",
    "k": "statement",
    "m": [
      "20D20"
    ],
    "u": "/wiki/first-sylow-theorem/"
  },
  {
    "t": "0V9A43H7WV",
    "n": "Product rule",
    "a": [
      "leibniz-rule-for-products"
    ],
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/product-rule/"
  },
  {
    "t": "0V9ME8GQE7",
    "n": "Dirichlet's test",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/dirichlets-test/"
  },
  {
    "t": "0V9PMN0RBH",
    "n": "Special linear group",
    "k": "object",
    "m": [
      "15A15",
      "20G15"
    ],
    "u": "/wiki/special-linear-group/"
  },
  {
    "t": "0VABYWJWH9",
    "n": "Preorder",
    "a": [
      "quasiorder"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/preorder/"
  },
  {
    "t": "0VARVQ9ZW1",
    "n": "Power series in the complex plane",
    "k": "definition",
    "m": [
      "30B10"
    ],
    "u": "/wiki/power-series-in-the-complex-plane-definition/"
  },
  {
    "t": "0VB8BFRABH",
    "n": "Square root",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/square-root-definition/"
  },
  {
    "t": "0VB9G5B034",
    "n": "Multiplicativity of the Möbius function",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/multiplicativity-of-the-mobius-function/"
  },
  {
    "t": "0VBWK9XYDG",
    "n": "Kummer's theorem",
    "k": "statement",
    "m": [
      "11B65"
    ],
    "u": "/wiki/kummers-theorem/"
  },
  {
    "t": "0VBZH90R1A",
    "n": "Internal direct product",
    "k": "concept",
    "m": [
      "20E34"
    ],
    "u": "/wiki/internal-direct-product/"
  },
  {
    "t": "0VC4DVE7DQ",
    "n": "Euler's theorem",
    "a": [
      "fermat-euler-theorem",
      "euler-totient-theorem"
    ],
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/eulers-theorem/"
  },
  {
    "t": "0VCTBJMEJF",
    "n": "Improper integral",
    "k": "definition",
    "m": [
      "26A42",
      "40A10"
    ],
    "u": "/wiki/improper-integral-definition/"
  },
  {
    "t": "0VD9ZSWWJG",
    "n": "Matrix",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix/"
  },
  {
    "t": "0VDD7W0EKZ",
    "n": "Morera's theorem",
    "a": [
      "moreras-theorem"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/moreras-theorem/"
  },
  {
    "t": "0VEFSSKX18",
    "n": "Poisson distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/poisson-distribution-definition/"
  },
  {
    "t": "0VEKNG02W0",
    "n": "Volume of a box",
    "a": [
      "volume-of-a-rectangular-box"
    ],
    "k": "statement",
    "m": [
      "28A75"
    ],
    "u": "/wiki/volume-of-a-box/"
  },
  {
    "t": "0VF11ZTTMD",
    "n": "Field of fractions",
    "k": "definition",
    "m": [
      "13B30"
    ],
    "u": "/wiki/field-of-fractions-definition/"
  },
  {
    "t": "0VFW4Y69BT",
    "n": "Quotient ring",
    "k": "definition",
    "m": [
      "16D25"
    ],
    "u": "/wiki/quotient-ring-definition/"
  },
  {
    "t": "0VG02M1FEZ",
    "n": "Every polynomial has a root in some extension field",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/every-polynomial-has-a-root-in-some-extension-field/"
  },
  {
    "t": "0VG7VNEWMG",
    "n": "Abundant number",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/abundant-number/"
  },
  {
    "t": "0VGFHTM75Y",
    "n": "Continuous map",
    "a": [
      "continuous-function"
    ],
    "k": "concept",
    "m": [
      "54C05"
    ],
    "u": "/wiki/continuous-map/"
  },
  {
    "t": "0VGKB2NC4T",
    "n": "Improper integral of x^p on an unbounded interval",
    "k": "example",
    "m": [
      "40A10"
    ],
    "u": "/wiki/improper-integral-of-x-p-on-an-unbounded-interval/"
  },
  {
    "t": "0VGMEBVW1M",
    "n": "Probability measure",
    "k": "definition",
    "m": [
      "60A10"
    ],
    "u": "/wiki/probability-measure-definition/"
  },
  {
    "t": "0VGMHCF4SC",
    "n": "Product of continuous functions is continuous",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/product-of-continuous-functions-is-continuous/"
  },
  {
    "t": "0VGPKZ8MRK",
    "n": "Continuity is equivalent to sequential continuity in metric spaces",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/continuity-is-equivalent-to-sequential-continuity-in-metric-spaces/"
  },
  {
    "t": "0VGPX25NXQ",
    "n": "Conditional variance",
    "k": "concept",
    "m": [
      "60A10"
    ],
    "u": "/wiki/conditional-variance/"
  },
  {
    "t": "0VGSYBWHV2",
    "n": "Inner product",
    "k": "definition",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/inner-product-definition/"
  },
  {
    "t": "0VGWKX2JHB",
    "n": "Abel's identity",
    "a": [
      "abel-formula"
    ],
    "k": "statement",
    "m": [
      "34A30"
    ],
    "u": "/wiki/abels-identity/"
  },
  {
    "t": "0VH1TC1PWF",
    "n": "Companion matrix",
    "k": "definition",
    "m": [
      "15A21"
    ],
    "u": "/wiki/companion-matrix-definition/"
  },
  {
    "t": "0VHAVXW08V",
    "n": "Subsequences of a convergent sequence converge to the same limit",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/subsequences-of-a-convergent-sequence-converge-to-the-same-limit/"
  },
  {
    "t": "0VHJRXNAAS",
    "n": "Chromatic number",
    "k": "concept",
    "m": [
      "05C15"
    ],
    "u": "/wiki/chromatic-number/"
  },
  {
    "t": "0VHNKP1N3K",
    "n": "Conformal map",
    "k": "definition",
    "m": [
      "30C35"
    ],
    "u": "/wiki/conformal-map-definition/"
  },
  {
    "t": "0VHSHB9B6J",
    "n": "Symmetric polynomial",
    "k": "concept",
    "m": [
      "05E05"
    ],
    "u": "/wiki/symmetric-polynomial/"
  },
  {
    "t": "0VJBSK15SN",
    "n": "Finite-dimensional spaces are isomorphic iff they have equal dimension",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/finite-dimensional-spaces-are-isomorphic-iff-they-have-equal-dimension/"
  },
  {
    "t": "0VJF99CZ0Z",
    "n": "Homogeneous linear system with constant coefficients",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/homogeneous-linear-system-with-constant-coefficients-definition/"
  },
  {
    "t": "0VJZM0F9YM",
    "n": "Walk",
    "k": "definition",
    "m": [
      "05C38"
    ],
    "u": "/wiki/walk-definition/"
  },
  {
    "t": "0VK0W4D5Y5",
    "n": "De Morgan's laws for sets",
    "k": "statement",
    "m": [
      "03E20"
    ],
    "u": "/wiki/de-morgans-laws-for-sets/"
  },
  {
    "t": "0VK5V9P8G3",
    "n": "Size of a conjugacy class is the index of the centraliser",
    "k": "statement",
    "m": [
      "20E45"
    ],
    "u": "/wiki/size-of-a-conjugacy-class-is-the-index-of-the-centraliser/"
  },
  {
    "t": "0VK6VEH345",
    "n": "Banach fixed point theorem",
    "a": [
      "contraction-mapping-theorem",
      "banach-fixed-point-theorem"
    ],
    "k": "statement",
    "m": [
      "47H10"
    ],
    "u": "/wiki/banach-fixed-point-theorem/"
  },
  {
    "t": "0VKCCEXBJ1",
    "n": "Ellipse",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/ellipse/"
  },
  {
    "t": "0VKD1TP7F3",
    "n": "Metric space",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metric-space/"
  },
  {
    "t": "0VKKP8X6Q6",
    "n": "Lagrange multipliers",
    "a": [
      "lagrange-multiplier-theorem",
      "method-of-lagrange-multipliers"
    ],
    "k": "statement",
    "m": [
      "90C46"
    ],
    "u": "/wiki/lagrange-multipliers/"
  },
  {
    "t": "0VM8B2SB4P",
    "n": "Decimal expansion",
    "a": [
      "decimal-representation"
    ],
    "k": "concept",
    "m": [
      "11A63"
    ],
    "u": "/wiki/decimal-expansion/"
  },
  {
    "t": "0VMG8TA8VF",
    "n": "Limit of a function of several variables",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/limit-of-a-function-of-several-variables-definition/"
  },
  {
    "t": "0VMWGYY35Q",
    "n": "Cartan–Dieudonné theorem",
    "k": "statement",
    "m": [
      "51F15",
      "15B10"
    ],
    "u": "/wiki/cartan-dieudonne-theorem/"
  },
  {
    "t": "0VMWPGGG3C",
    "n": "Smallest prime factor",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/smallest-prime-factor/"
  },
  {
    "t": "0VN4H8M12X",
    "n": "If 2^n + 1 is prime then n is a power of 2",
    "k": "statement",
    "m": [
      "11A41"
    ],
    "u": "/wiki/if-2-n-1-is-prime-then-n-is-a-power-of-2/"
  },
  {
    "t": "0VNE161QCK",
    "n": "Polynomials of degree two or three are irreducible iff they have no roots",
    "k": "statement",
    "m": [
      "12E05"
    ],
    "u": "/wiki/polynomials-of-degree-two-or-three-are-irreducible-iff-they-have-no-roots/"
  },
  {
    "t": "0VP3A1290K",
    "n": "Pythagorean theorem",
    "a": [
      "pythagoras-theorem"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/pythagorean-theorem/"
  },
  {
    "t": "0VP4TBVJ19",
    "n": "Frobenius automorphism of a finite field",
    "k": "definition",
    "m": [
      "12E20"
    ],
    "u": "/wiki/frobenius-automorphism-of-a-finite-field-definition/"
  },
  {
    "t": "0VP56B4EMX",
    "n": "Power series",
    "k": "definition",
    "m": [
      "30B10"
    ],
    "u": "/wiki/power-series-definition/"
  },
  {
    "t": "0VPCJWGMP9",
    "n": "Space of linear maps",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/space-of-linear-maps-definition/"
  },
  {
    "t": "0VPFBAY7MW",
    "n": "Prime subfield",
    "k": "definition",
    "m": [
      "12E99"
    ],
    "u": "/wiki/prime-subfield-definition/"
  },
  {
    "t": "0VPK4X73Q0",
    "n": "Rule of product",
    "a": [
      "multiplication-principle",
      "product-rule"
    ],
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/rule-of-product/"
  },
  {
    "t": "0VQA7F720Z",
    "n": "Sequence tending to infinity",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/sequence-tending-to-infinity/"
  },
  {
    "t": "0VQQCVG8WA",
    "n": "Combinations with repetition",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/combinations-with-repetition/"
  },
  {
    "t": "0VQYCCQVJ5",
    "n": "Nowhere dense set",
    "k": "concept",
    "m": [
      "54E52"
    ],
    "u": "/wiki/nowhere-dense-set/"
  },
  {
    "t": "0VR671PHE5",
    "n": "Symmetric matrix",
    "k": "concept",
    "m": [
      "15A99",
      "15B57"
    ],
    "u": "/wiki/symmetric-matrix/"
  },
  {
    "t": "0VRD8GC5BM",
    "n": "Isometric isomorphism",
    "k": "definition",
    "m": [
      "54E40"
    ],
    "u": "/wiki/isometric-isomorphism-definition/"
  },
  {
    "t": "0VRWZDWW6B",
    "n": "Binomial distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/binomial-distribution-definition/"
  },
  {
    "t": "0VS0MP1P5H",
    "n": "Abundant number",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/abundant-number-definition/"
  },
  {
    "t": "0VSB0XF4G7",
    "n": "Indicator function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/indicator-function-definition/"
  },
  {
    "t": "0VSNHTHK8T",
    "n": "A tree on n vertices has n − 1 edges",
    "k": "statement",
    "m": [
      "05C05"
    ],
    "u": "/wiki/a-tree-on-n-vertices-has-n-1-edges/"
  },
  {
    "t": "0VSNX4P2Q0",
    "n": "Cancellation laws",
    "a": [
      "cancellation-law"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cancellation-laws/"
  },
  {
    "t": "0VSSPAFM2C",
    "n": "Characteristic polynomial",
    "k": "concept",
    "m": [
      "15A15",
      "15A18"
    ],
    "u": "/wiki/characteristic-polynomial/"
  },
  {
    "t": "0VT2QK6X6Q",
    "n": "Riccati equation",
    "k": "concept",
    "m": [
      "34A34"
    ],
    "u": "/wiki/riccati-equation/"
  },
  {
    "t": "0VT6P0GNQR",
    "n": "Gram–Schmidt process",
    "k": "concept",
    "m": [
      "15A63",
      "65F25"
    ],
    "u": "/wiki/gram-schmidt-process/"
  },
  {
    "t": "0VTAD25A3G",
    "n": "Minimal polynomial divides every annihilating polynomial",
    "k": "statement",
    "m": [
      "15A18"
    ],
    "u": "/wiki/minimal-polynomial-divides-every-annihilating-polynomial/"
  },
  {
    "t": "0VTAXQEWQD",
    "n": "Sup metric on R^n",
    "a": [
      "chebyshev-distance",
      "maximum-metric"
    ],
    "k": "example",
    "m": [
      "54E35"
    ],
    "u": "/wiki/sup-metric-on-r-n/"
  },
  {
    "t": "0VTCABADBE",
    "n": "Turán graph",
    "k": "example",
    "m": [
      "05C35"
    ],
    "u": "/wiki/turan-graph/"
  },
  {
    "t": "0VTH8KPCG2",
    "n": "Ring homomorphism",
    "k": "concept",
    "m": [
      "16B99"
    ],
    "u": "/wiki/ring-homomorphism/"
  },
  {
    "t": "0VTN5RKNC5",
    "n": "Standard deviation",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/standard-deviation-definition/"
  },
  {
    "t": "0VTQTPQGAV",
    "n": "Basis",
    "k": "definition",
    "m": [
      "15A03"
    ],
    "u": "/wiki/basis-definition/"
  },
  {
    "t": "0VTQXTCR2G",
    "n": "Transcendental number",
    "k": "concept",
    "m": [
      "11J81"
    ],
    "u": "/wiki/transcendental-number/"
  },
  {
    "t": "0VV04M41AN",
    "n": "Euler's totient function",
    "a": [
      "euler-phi-function",
      "totient-function",
      "phi-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/eulers-totient-function-definition/"
  },
  {
    "t": "0VV0HSW1ZS",
    "n": "Convex function",
    "k": "definition",
    "m": [
      "26A51"
    ],
    "u": "/wiki/convex-function-definition/"
  },
  {
    "t": "0VV3ZMRF88",
    "n": "Number of divisors",
    "k": "concept",
    "m": [
      "11A25"
    ],
    "u": "/wiki/number-of-divisors/"
  },
  {
    "t": "0VVK64Q4JK",
    "n": "Discriminant of a polynomial",
    "k": "concept",
    "m": [
      "12E05"
    ],
    "u": "/wiki/discriminant-of-a-polynomial/"
  },
  {
    "t": "0VVPQNVM8S",
    "n": "Order of a power",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-a-power/"
  },
  {
    "t": "0VVY4H92G2",
    "n": "Term test",
    "a": [
      "nth-term-test",
      "divergence-test"
    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/term-test/"
  },
  {
    "t": "0VW90BBSJ4",
    "n": "Continuously differentiable function",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/continuously-differentiable-function/"
  },
  {
    "t": "0VW9E4QXR6",
    "n": "Likelihood function",
    "a": [
      "likelihood"
    ],
    "k": "concept",
    "m": [
      "62F10"
    ],
    "u": "/wiki/likelihood-function/"
  },
  {
    "t": "0VX0CPRQTZ",
    "n": "Euler line",
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/euler-line/"
  },
  {
    "t": "0VX9EP2GS8",
    "n": "Minimal polynomial (field theory)",
    "a": [
      "minimal-polynomial"
    ],
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/minimal-polynomial-field-theory/"
  },
  {
    "t": "0VXJHZ1G9J",
    "n": "Standard score",
    "a": [
      "z-score",
      "standardized-variable"
    ],
    "k": "concept",
    "m": [
      "62P99"
    ],
    "u": "/wiki/standard-score/"
  },
  {
    "t": "0VXYV3NQQ1",
    "n": "Gradient is orthogonal to level sets",
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/gradient-is-orthogonal-to-level-sets/"
  },
  {
    "t": "0VY3WPP9Y3",
    "n": "Bézout's identity in a Euclidean domain",
    "k": "statement",
    "m": [
      "13F07"
    ],
    "u": "/wiki/bezouts-identity-in-a-euclidean-domain/"
  },
  {
    "t": "0VYCDGMJJJ",
    "n": "Row echelon form",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/row-echelon-form/"
  },
  {
    "t": "0VZ48N083F",
    "n": "Coprime integers",
    "k": "concept",
    "m": [
      "11A05"
    ],
    "u": "/wiki/coprime-integers/"
  },
  {
    "t": "0VZVV8VME5",
    "n": "Compact closed unit ball implies finite dimension",
    "k": "statement",
    "m": [
      "46B50"
    ],
    "u": "/wiki/compact-closed-unit-ball-implies-finite-dimension/"
  },
  {
    "t": "0W02QESPJQ",
    "n": "Orthogonal matrix",
    "k": "concept",
    "m": [
      "15B10"
    ],
    "u": "/wiki/orthogonal-matrix/"
  },
  {
    "t": "0W0KVBM54S",
    "n": "Cyclotomic polynomial",
    "k": "definition",
    "m": [
      "11T22"
    ],
    "u": "/wiki/cyclotomic-polynomial-definition/"
  },
  {
    "t": "0W0TZDRF9C",
    "n": "Continuous functions on a closed bounded interval are uniformly continuous",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/continuous-functions-on-a-closed-bounded-interval-are-uniformly-continuous/"
  },
  {
    "t": "0W1C598HMS",
    "n": "Euler's formula for planar graphs",
    "k": "statement",
    "m": [
      "05C10"
    ],
    "u": "/wiki/eulers-formula-for-planar-graphs/"
  },
  {
    "t": "0W1K48V5SG",
    "n": "Rearrangement of a series",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/rearrangement-of-a-series/"
  },
  {
    "t": "0W1QMKJ9W8",
    "n": "Uniform convergence on a set",
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/uniform-convergence-on-a-set/"
  },
  {
    "t": "0W276SSSCG",
    "n": "Linear approximation",
    "a": [
      "linearisation",
      "tangent-line-approximation"
    ],
    "k": "concept",
    "m": [
      "26B05"
    ],
    "u": "/wiki/linear-approximation/"
  },
  {
    "t": "0W29TBTY12",
    "n": "Riemann integral",
    "k": "concept",
    "m": [
      "26A42"
    ],
    "u": "/wiki/riemann-integral/"
  },
  {
    "t": "0W2QAVJQ1W",
    "n": "Cofactor",
    "k": "definition",
    "m": [
      "15A15"
    ],
    "u": "/wiki/cofactor-definition/"
  },
  {
    "t": "0W3K3QPEWT",
    "n": "Absolute convergence",
    "a": [
      "absolutely-convergent-series"
    ],
    "k": "definition",
    "m": [
      "40A05"
    ],
    "u": "/wiki/absolute-convergence-definition/"
  },
  {
    "t": "0W3W1VYWBP",
    "n": "Line integral as an integral over the parameter interval",
    "a": [
      "parametric-formula-for-line-integrals"
    ],
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/line-integral-as-an-integral-over-the-parameter-interval/"
  },
  {
    "t": "0W41XG4W60",
    "n": "Complete subspaces are closed",
    "k": "statement",
    "m": [
      "54E50"
    ],
    "u": "/wiki/complete-subspaces-are-closed/"
  },
  {
    "t": "0W44K2VNBD",
    "n": "Sesquilinear form",
    "k": "definition",
    "m": [
      "15A63"
    ],
    "u": "/wiki/sesquilinear-form-definition/"
  },
  {
    "t": "0W4CN9E2W5",
    "n": "Convergent sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/convergent-sequence/"
  },
  {
    "t": "0W4FSW1TVB",
    "n": "Rank–nullity theorem",
    "a": [
      "dimension-theorem-for-linear-maps"
    ],
    "k": "statement",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/rank-nullity-theorem/"
  },
  {
    "t": "0W4GQSG7B6",
    "n": "Irrationality of e",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrationality-of-e/"
  },
  {
    "t": "0W4RPA8QH3",
    "n": "Disjoint sets",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/disjoint-sets-definition/"
  },
  {
    "t": "0W4X9G6263",
    "n": "Unique factorisation domain",
    "a": [
      "unique-factorization-domain",
      "ufd",
      "factorial-ring"
    ],
    "k": "concept",
    "m": [
      "13F15"
    ],
    "u": "/wiki/unique-factorisation-domain/"
  },
  {
    "t": "0W50MT1C6X",
    "n": "Trail",
    "k": "concept",
    "m": [
      "05C38"
    ],
    "u": "/wiki/trail/"
  },
  {
    "t": "0W5DSDFQ4G",
    "n": "Addition of natural numbers",
    "k": "definition",
    "m": [
      "03F30"
    ],
    "u": "/wiki/addition-of-natural-numbers-definition/"
  },
  {
    "t": "0W5NJQ8MKY",
    "n": "Harmonic function",
    "k": "definition",
    "m": [
      "31B05"
    ],
    "u": "/wiki/harmonic-function-definition/"
  },
  {
    "t": "0W62TKMW7V",
    "n": "Law of total probability for an event and its complement",
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/law-of-total-probability-for-an-event-and-its-complement/"
  },
  {
    "t": "0W6M3PSD08",
    "n": "Dual basis",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-basis-definition/"
  },
  {
    "t": "0W766JAPSN",
    "n": "Inverse function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/inverse-function-definition/"
  },
  {
    "t": "0W77CVBCHQ",
    "n": "Normal subgroup",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/normal-subgroup-definition/"
  },
  {
    "t": "0W7FBYS1F1",
    "n": "Uncountable set",
    "a": [
      "uncountably-infinite",
      "nondenumerable"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/uncountable-set/"
  },
  {
    "t": "0W7NFW23RF",
    "n": "Sample space",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/sample-space-definition/"
  },
  {
    "t": "0W809K6AW0",
    "n": "Transpose",
    "k": "definition",
    "m": [
      "15A99"
    ],
    "u": "/wiki/transpose-definition/"
  },
  {
    "t": "0W88CEGQP1",
    "n": "Kernel of a homomorphism",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/kernel-of-a-homomorphism/"
  },
  {
    "t": "0W8ETY2AZ6",
    "n": "Tangent half-angle substitution",
    "a": [
      "weierstrass-substitution"
    ],
    "k": "concept",
    "m": [
      "26A36"
    ],
    "u": "/wiki/tangent-half-angle-substitution/"
  },
  {
    "t": "0W8QHVSN95",
    "n": "Branch cut",
    "a": [
      "cut"
    ],
    "k": "concept",
    "m": [
      "30A99"
    ],
    "u": "/wiki/branch-cut/"
  },
  {
    "t": "0W8YHHGCJG",
    "n": "Epsilon-delta definition of continuity",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/epsilon-delta-definition-of-continuity/"
  },
  {
    "t": "0W93FJAC8F",
    "n": "Fermat pseudoprime",
    "k": "concept",
    "m": [
      "11A51"
    ],
    "u": "/wiki/fermat-pseudoprime/"
  },
  {
    "t": "0W95W33CMP",
    "n": "Equivalence class",
    "a": [
      "equivalence-classes"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/equivalence-class/"
  },
  {
    "t": "0W97J8QED7",
    "n": "Chinese remainder theorem for rings",
    "k": "statement",
    "m": [
      "13A15"
    ],
    "u": "/wiki/chinese-remainder-theorem-for-rings/"
  },
  {
    "t": "0WA7ZR95V4",
    "n": "Time translation of solutions of an autonomous system",
    "k": "statement",
    "m": [
      "34A34"
    ],
    "u": "/wiki/time-translation-of-solutions-of-an-autonomous-system/"
  },
  {
    "t": "0WAR4F23B4",
    "n": "Double integral",
    "a": [
      "double-riemann-integral"
    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/double-integral/"
  },
  {
    "t": "0WAY5WX8NY",
    "n": "Congruence modulo n",
    "k": "concept",
    "m": [
      "11A07"
    ],
    "u": "/wiki/congruence-modulo-n/"
  },
  {
    "t": "0WB57D9488",
    "n": "Sine and cosine",
    "k": "definition",
    "m": [
      "33B10",
      "26A09"
    ],
    "u": "/wiki/sine-and-cosine-definition/"
  },
  {
    "t": "0WB619CA0V",
    "n": "Orthocentre",
    "a": [
      "orthocenter"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/orthocentre/"
  },
  {
    "t": "0WB6DH499T",
    "n": "Path-connected space",
    "a": [
      "pathwise-connected-space"
    ],
    "k": "concept",
    "m": [
      "54D05"
    ],
    "u": "/wiki/path-connected-space/"
  },
  {
    "t": "0WBFFC8XZ9",
    "n": "Subgraph",
    "k": "concept",
    "m": [
      "05C99"
    ],
    "u": "/wiki/subgraph/"
  },
  {
    "t": "0WBRJXXDPZ",
    "n": "Norm on the Gaussian integers",
    "k": "concept",
    "m": [
      "11R11"
    ],
    "u": "/wiki/norm-on-the-gaussian-integers/"
  },
  {
    "t": "0WBTWFXJQG",
    "n": "Integration by partial fractions",
    "k": "concept",
    "m": [
      "26A36"
    ],
    "u": "/wiki/integration-by-partial-fractions/"
  },
  {
    "t": "0WC28W9DNM",
    "n": "Cardinality of the continuum",
    "a": [
      "continuum-cardinality"
    ],
    "k": "object",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cardinality-of-the-continuum/"
  },
  {
    "t": "0WCKRBHFFD",
    "n": "Clique number",
    "k": "definition",
    "m": [
      "05C69"
    ],
    "u": "/wiki/clique-number-definition/"
  },
  {
    "t": "0WCP0PVET6",
    "n": "Proof by cases",
    "a": [
      "proof-by-exhaustion",
      "case-analysis"
    ],
    "k": "concept",
    "m": [
      "00A35"
    ],
    "u": "/wiki/proof-by-cases/"
  },
  {
    "t": "0WCPH5Z7FA",
    "n": "Trace of a linear map is the trace of its matrix",
    "k": "statement",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/trace-of-a-linear-map-is-the-trace-of-its-matrix/"
  },
  {
    "t": "0WCWA1KT3M",
    "n": "Binomial distribution",
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/binomial-distribution/"
  },
  {
    "t": "0WCX7NB4N7",
    "n": "Separable extension",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/separable-extension/"
  },
  {
    "t": "0WCY42EV9V",
    "n": "Group action",
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/group-action/"
  },
  {
    "t": "0WCZH4AFMT",
    "n": "Rational function",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/rational-function-definition/"
  },
  {
    "t": "0WD3SE7S1X",
    "n": "R/M is a field iff M is maximal",
    "k": "statement",
    "m": [
      "13A15"
    ],
    "u": "/wiki/r-m-is-a-field-iff-m-is-maximal/"
  },
  {
    "t": "0WDAKKN4NC",
    "n": "x^2 sin(1/x) is differentiable with discontinuous derivative",
    "k": "counterexample",
    "m": [
      "26A24"
    ],
    "u": "/wiki/x-2-sin-1-x-is-differentiable-with-discontinuous-derivative/"
  },
  {
    "t": "0WDNRBXX7K",
    "n": "Cauchy–Euler equation",
    "a": [
      "euler-cauchy-equation",
      "equidimensional-equation"
    ],
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/cauchy-euler-equation-definition/"
  },
  {
    "t": "0WE2NHZJ7B",
    "n": "Order of an element",
    "a": [
      "period-of-an-element"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/order-of-an-element/"
  },
  {
    "t": "0WE5BBHGM6",
    "n": "Totally bounded set",
    "k": "definition",
    "m": [
      "54E35"
    ],
    "u": "/wiki/totally-bounded-set-definition/"
  },
  {
    "t": "0WETJCKNRG",
    "n": "Euclid–Euler theorem",
    "k": "statement",
    "m": [
      "11A25"
    ],
    "u": "/wiki/euclid-euler-theorem/"
  },
  {
    "t": "0WF4EJP91W",
    "n": "Probability mass function",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-mass-function-definition/"
  },
  {
    "t": "0WF5AQYTW6",
    "n": "Reduced row echelon form",
    "a": [
      "rref"
    ],
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/reduced-row-echelon-form/"
  },
  {
    "t": "0WFBH1Q3WC",
    "n": "Local maximum and minimum",
    "a": [
      "local-extremum",
      "relative-extremum"
    ],
    "k": "concept",
    "m": [
      "26B99"
    ],
    "u": "/wiki/local-maximum-and-minimum/"
  },
  {
    "t": "0WFCGVMRRC",
    "n": "Factorial",
    "k": "definition",
    "m": [
      "05A10"
    ],
    "u": "/wiki/factorial-definition/"
  },
  {
    "t": "0WFCNG0MZC",
    "n": "Ordered pair",
    "a": [
      "pair"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/ordered-pair/"
  },
  {
    "t": "0WFED3K3DQ",
    "n": "Sylvester's law of inertia",
    "k": "statement",
    "m": [
      "15A63",
      "11E04"
    ],
    "u": "/wiki/sylvesters-law-of-inertia/"
  },
  {
    "t": "0WFF6AZPBP",
    "n": "Monotone function",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/monotone-function-definition/"
  },
  {
    "t": "0WFMKK7DFZ",
    "n": "Gambler's ruin",
    "a": [
      "gamblers-ruin-problem"
    ],
    "k": "problem",
    "m": [
      "60G50",
      "60G40"
    ],
    "u": "/wiki/gamblers-ruin/"
  },
  {
    "t": "0WFZX06698",
    "n": "Inverse hyperbolic functions",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/inverse-hyperbolic-functions/"
  },
  {
    "t": "0WG2A3HE0S",
    "n": "Newton's identities",
    "a": [
      "girard-newton-formulae"
    ],
    "k": "statement",
    "m": [
      "05E05"
    ],
    "u": "/wiki/newtons-identities/"
  },
  {
    "t": "0WG43AC0EV",
    "n": "Two-element Boolean algebra",
    "k": "example",
    "m": [
      "06E05"
    ],
    "u": "/wiki/two-element-boolean-algebra/"
  },
  {
    "t": "0WGAXEK99E",
    "n": "A subspace of full dimension is the whole space",
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/a-subspace-of-full-dimension-is-the-whole-space/"
  },
  {
    "t": "0WGDPYR30Q",
    "n": "Continuous uniform distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/continuous-uniform-distribution-definition/"
  },
  {
    "t": "0WH1GVBJNH",
    "n": "Circle as a quotient of the real line",
    "a": [
      "real-line-modulo-integers"
    ],
    "k": "example",
    "m": [
      "54B15"
    ],
    "u": "/wiki/circle-as-a-quotient-of-the-real-line/"
  },
  {
    "t": "0WH916TJNY",
    "n": "There is a natural number n with 1/n below any positive epsilon",
    "k": "statement",
    "m": [
      "26A03"
    ],
    "u": "/wiki/there-is-a-natural-number-n-with-1-n-below-any-positive-epsilon/"
  },
  {
    "t": "0WHCA4SVP2",
    "n": "Invariant factors and elementary divisors",
    "k": "concept",
    "m": [
      "20K01",
      "20K25"
    ],
    "u": "/wiki/invariant-factors-and-elementary-divisors/"
  },
  {
    "t": "0WJGR81HBD",
    "n": "Taylor's theorem with the integral remainder",
    "k": "statement",
    "m": [
      "41A80"
    ],
    "u": "/wiki/taylors-theorem-with-the-integral-remainder/"
  },
  {
    "t": "0WJX8MGG37",
    "n": "Free abelian group",
    "k": "concept",
    "m": [
      "20K15",
      "20K20"
    ],
    "u": "/wiki/free-abelian-group/"
  },
  {
    "t": "0WK0Y8RH1M",
    "n": "Dimension theorem for vector spaces",
    "a": [
      "invariance-of-dimension"
    ],
    "k": "statement",
    "m": [
      "15A03"
    ],
    "u": "/wiki/dimension-theorem-for-vector-spaces/"
  },
  {
    "t": "0WKEF78PMV",
    "n": "Sylvester's criterion",
    "k": "statement",
    "m": [
      "15B57",
      "15A15"
    ],
    "u": "/wiki/sylvesters-criterion/"
  },
  {
    "t": "0WKG15TV3G",
    "n": "Fermat number",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/fermat-number/"
  },
  {
    "t": "0WKG8CYY6A",
    "n": "Cholesky decomposition",
    "k": "statement",
    "m": [
      "15A23",
      "65F05"
    ],
    "u": "/wiki/cholesky-decomposition/"
  },
  {
    "t": "0WM7DJCM6G",
    "n": "Product of exponentials",
    "a": [
      "exponential-of-a-sum"
    ],
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/product-of-exponentials/"
  },
  {
    "t": "0WMDV48VSN",
    "n": "Volume of a ball in R^3",
    "a": [
      "volume-of-a-sphere"
    ],
    "k": "statement",
    "m": [
      "26B15"
    ],
    "u": "/wiki/volume-of-a-ball-in-r-3/"
  },
  {
    "t": "0WMJSEFYFE",
    "n": "A prime is a Gaussian prime if and only if it is 3 modulo 4",
    "k": "statement",
    "m": [
      "11R11"
    ],
    "u": "/wiki/a-prime-is-a-gaussian-prime-if-and-only-if-it-is-3-modulo-4/"
  },
  {
    "t": "0WN1QXR7R3",
    "n": "Indefinite integral",
    "k": "concept",
    "m": [
      "26A36"
    ],
    "u": "/wiki/indefinite-integral/"
  },
  {
    "t": "0WN5G117YC",
    "n": "Hyperbola",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/hyperbola/"
  },
  {
    "t": "0WNGQBPPQX",
    "n": "Edge set",
    "k": "definition",
    "m": [
      "05C99"
    ],
    "u": "/wiki/edge-set-definition/"
  },
  {
    "t": "0WPDNXGSSN",
    "n": "Hoeffding's inequality",
    "k": "statement",
    "m": [
      "60E15"
    ],
    "u": "/wiki/hoeffdings-inequality/"
  },
  {
    "t": "0WPQYW8MTE",
    "n": "Pole",
    "a": [
      "simple-pole"
    ],
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/pole-definition/"
  },
  {
    "t": "0WPZ5YPAGR",
    "n": "Distance in a graph",
    "k": "definition",
    "m": [
      "05C12"
    ],
    "u": "/wiki/distance-in-a-graph-definition/"
  },
  {
    "t": "0WQ19TJV24",
    "n": "Distance from a point to a set",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/distance-from-a-point-to-a-set/"
  },
  {
    "t": "0WQ1A8SHTZ",
    "n": "Field extension",
    "k": "definition",
    "m": [
      "12F05"
    ],
    "u": "/wiki/field-extension-definition/"
  },
  {
    "t": "0WQE3G7B88",
    "n": "Surface area",
    "k": "definition",
    "m": [
      "28A75"
    ],
    "u": "/wiki/surface-area-definition/"
  },
  {
    "t": "0WQJJCCTC8",
    "n": "Normal vector",
    "a": [
      "normal"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/normal-vector/"
  },
  {
    "t": "0WQNRCNY3M",
    "n": "Expected value",
    "a": [
      "expectation",
      "mean",
      "expected-value-of-random-variable",
      "mathematical-expectation"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/expected-value/"
  },
  {
    "t": "0WQVXP7PDB",
    "n": "Moment-generating function",
    "a": [
      "moment-generating-function",
      "mgf"
    ],
    "k": "concept",
    "m": [
      "60E10"
    ],
    "u": "/wiki/moment-generating-function/"
  },
  {
    "t": "0WQXY32Q8D",
    "n": "Borel sigma-algebra",
    "a": [
      "borel-algebra",
      "borel-set",
      "borel-sets"
    ],
    "k": "concept",
    "m": [
      "28A05"
    ],
    "u": "/wiki/borel-sigma-algebra/"
  },
  {
    "t": "0WRZ170YEH",
    "n": "Moment-generating function of a sum of independent random variables",
    "k": "statement",
    "m": [
      "60E10"
    ],
    "u": "/wiki/moment-generating-function-of-a-sum-of-independent-random-variables/"
  },
  {
    "t": "0WS1A8E2P9",
    "n": "Extreme value theorem",
    "k": "statement",
    "m": [
      "26A15"
    ],
    "u": "/wiki/extreme-value-theorem/"
  },
  {
    "t": "0WS9P12FQR",
    "n": "Subspace topology",
    "a": [
      "induced-topology",
      "relative-topology"
    ],
    "k": "concept",
    "m": [
      "54B05"
    ],
    "u": "/wiki/subspace-topology/"
  },
  {
    "t": "0WSFKKT6FF",
    "n": "Image of a linear map",
    "a": [
      "range-of-a-linear-map"
    ],
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/image-of-a-linear-map/"
  },
  {
    "t": "0WTEMGYV2C",
    "n": "Cantor's theorem",
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cantors-theorem/"
  },
  {
    "t": "0WW060JR6P",
    "n": "Nullcline",
    "a": [
      "zero-growth-isocline"
    ],
    "k": "definition",
    "m": [
      "34C05"
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    "u": "/wiki/nullcline-definition/"
  },
  {
    "t": "0WW85SQVS3",
    "n": "Bell numbers",
    "k": "definition",
    "m": [
      "11B73"
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    "u": "/wiki/bell-numbers-definition/"
  },
  {
    "t": "0WWRD82HD2",
    "n": "Right inverse",
    "a": [
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    "k": "concept",
    "m": [
      "03E20"
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    "u": "/wiki/right-inverse/"
  },
  {
    "t": "0WX11EA3F3",
    "n": "Group of nth roots of unity",
    "a": [
      "roots-of-unity"
    ],
    "k": "object",
    "m": [
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    ],
    "u": "/wiki/group-of-nth-roots-of-unity/"
  },
  {
    "t": "0WXBGBTA3D",
    "n": "Gram–Schmidt vectors are orthogonal",
    "k": "statement",
    "m": [
      "15A63",
      "65F25"
    ],
    "u": "/wiki/gram-schmidt-vectors-are-orthogonal/"
  },
  {
    "t": "0WYTM4C9QG",
    "n": "A monotone function has countably many discontinuities",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "26A48"
    ],
    "u": "/wiki/a-monotone-function-has-countably-many-discontinuities/"
  },
  {
    "t": "0WZCHE1ZF9",
    "n": "Iterated integral",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "26B15"
    ],
    "u": "/wiki/iterated-integral/"
  },
  {
    "t": "0WZTM0EFR6",
    "n": "Hölder continuity",
    "k": "definition",
    "m": [
      "26A16"
    ],
    "u": "/wiki/holder-continuity-definition/"
  },
  {
    "t": "0WZXK05ME7",
    "n": "Division ring",
    "k": "definition",
    "m": [
      "12E15"
    ],
    "u": "/wiki/division-ring-definition/"
  },
  {
    "t": "0X05GS525E",
    "n": "Boolean function",
    "k": "concept",
    "m": [
      "06E30",
      "94C11"
    ],
    "u": "/wiki/boolean-function/"
  },
  {
    "t": "0X0HQYSZ0K",
    "n": "Determinant of a linear map",
    "k": "concept",
    "m": [
      "15A04",
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-linear-map/"
  },
  {
    "t": "0X0N833FF8",
    "n": "Number of injections",
    "k": "statement",
    "m": [
      "05A05"
    ],
    "u": "/wiki/number-of-injections/"
  },
  {
    "t": "0X1GSWNBN1",
    "n": "Union",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/union/"
  },
  {
    "t": "0X1JXT47GA",
    "n": "Subgroup",
    "k": "concept",
    "m": [
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    "u": "/wiki/subgroup/"
  },
  {
    "t": "0X2FY491PF",
    "n": "Complex logarithm",
    "k": "definition",
    "m": [
      "33B10"
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    "u": "/wiki/complex-logarithm-definition/"
  },
  {
    "t": "0X2GJPNPFN",
    "n": "Hall's theorem for bipartite graphs",
    "k": "statement",
    "m": [
      "05C70"
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    "u": "/wiki/halls-theorem-for-bipartite-graphs/"
  },
  {
    "t": "0X2J0VY6DN",
    "n": "Discrete random variable",
    "a": [
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    ],
    "k": "concept",
    "m": [
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    "u": "/wiki/discrete-random-variable/"
  },
  {
    "t": "0X2T63GFQQ",
    "n": "Countable intersection of dense open sets is dense",
    "k": "statement",
    "m": [
      "54E52"
    ],
    "u": "/wiki/countable-intersection-of-dense-open-sets-is-dense/"
  },
  {
    "t": "0X308R2DBE",
    "n": "The exterior derivative squares to zero",
    "a": [
      "d-squared-is-zero"
    ],
    "k": "statement",
    "m": [
      "58A10"
    ],
    "u": "/wiki/the-exterior-derivative-squares-to-zero/"
  },
  {
    "t": "0X3EG7Y65T",
    "n": "Path component",
    "a": [
      "path-connected-component"
    ],
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/path-component/"
  },
  {
    "t": "0X3TEM69AA",
    "n": "Congruent triangles",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/congruent-triangles-definition/"
  },
  {
    "t": "0X3WGX95FE",
    "n": "Continuous function",
    "k": "concept",
    "m": [
      "26A15"
    ],
    "u": "/wiki/continuous-function/"
  },
  {
    "t": "0X3XD2ATB0",
    "n": "Laurent series",
    "k": "definition",
    "m": [
      "30B10"
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    "u": "/wiki/laurent-series-definition/"
  },
  {
    "t": "0X3Y0ZSKNF",
    "n": "Hypergeometric distribution",
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/hypergeometric-distribution/"
  },
  {
    "t": "0X45ZM731G",
    "n": "Cayley transform",
    "a": [
      "cayley-transform-of-the-upper-half-plane"
    ],
    "k": "example",
    "m": [
      "30C20"
    ],
    "u": "/wiki/cayley-transform/"
  },
  {
    "t": "0X4JKZXJ86",
    "n": "Idempotent element",
    "k": "definition",
    "m": [
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    "u": "/wiki/idempotent-element-definition/"
  },
  {
    "t": "0X4NT20S3G",
    "n": "Forced oscillation and resonance",
    "k": "example",
    "m": [
      "70J35"
    ],
    "u": "/wiki/forced-oscillation-and-resonance/"
  },
  {
    "t": "0X52TNMTCJ",
    "n": "Tietze extension theorem",
    "a": [
      "tietze-urysohn-extension-theorem"
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    "k": "statement",
    "m": [
      "54C20"
    ],
    "u": "/wiki/tietze-extension-theorem/"
  },
  {
    "t": "0X55M9XET4",
    "n": "Uncountable set",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/uncountable-set-definition/"
  },
  {
    "t": "0X5QVCF06N",
    "n": "Elementary symmetric polynomial",
    "k": "concept",
    "m": [
      "05E05"
    ],
    "u": "/wiki/elementary-symmetric-polynomial/"
  },
  {
    "t": "0X60VE98HN",
    "n": "Quantile function",
    "a": [
      "inverse-distribution-function",
      "percent-point-function"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/quantile-function/"
  },
  {
    "t": "0X6AB5P3G1",
    "n": "Algebraic closure",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/algebraic-closure/"
  },
  {
    "t": "0X6C0MAF84",
    "n": "Hyperbolic tangent",
    "k": "concept",
    "m": [
      "33B10"
    ],
    "u": "/wiki/hyperbolic-tangent/"
  },
  {
    "t": "0X6V9B1V10",
    "n": "Consistent and inconsistent systems",
    "k": "concept",
    "m": [
      "15A06"
    ],
    "u": "/wiki/consistent-and-inconsistent-systems/"
  },
  {
    "t": "0X7CVDE3BG",
    "n": "Impossibility of squaring the circle",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/impossibility-of-squaring-the-circle/"
  },
  {
    "t": "0X7EEWES5G",
    "n": "Centroid",
    "a": [
      "barycentre",
      "centre-of-mass"
    ],
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/centroid/"
  },
  {
    "t": "0X7G61297X",
    "n": "Arc length",
    "k": "definition",
    "m": [
      "26A42",
      "53A04"
    ],
    "u": "/wiki/arc-length-definition/"
  },
  {
    "t": "0X7SBS8E0F",
    "n": "Winding number",
    "a": [
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    ],
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/winding-number-definition/"
  },
  {
    "t": "0X89GC65N1",
    "n": "Altitude of a triangle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/altitude-of-a-triangle-definition/"
  },
  {
    "t": "0X8HBKCSYB",
    "n": "Continuity of probability measures",
    "a": [
      "continuity-from-below",
      "continuity-from-above"
    ],
    "k": "statement",
    "m": [
      "60A10"
    ],
    "u": "/wiki/continuity-of-probability-measures/"
  },
  {
    "t": "0X8NMST0J2",
    "n": "Reflexive relation",
    "a": [
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    ],
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/reflexive-relation/"
  },
  {
    "t": "0X9MBPP2Z3",
    "n": "Space of linear maps",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/space-of-linear-maps/"
  },
  {
    "t": "0X9XT05JVC",
    "n": "Uniform limit theorem",
    "a": [
      "uniform-limit-of-continuous-functions-is-continuous"
    ],
    "k": "statement",
    "m": [
      "40A30",
      "26A15"
    ],
    "u": "/wiki/uniform-limit-theorem/"
  },
  {
    "t": "0XADJKM699",
    "n": "Boolean algebra",
    "k": "concept",
    "m": [
      "06E05"
    ],
    "u": "/wiki/boolean-algebra/"
  },
  {
    "t": "0XAP8WHNES",
    "n": "Handshaking lemma",
    "k": "statement",
    "m": [
      "05C07"
    ],
    "u": "/wiki/handshaking-lemma/"
  },
  {
    "t": "0XB0J0P64D",
    "n": "Simple continued fraction",
    "k": "concept",
    "m": [
      "11A55"
    ],
    "u": "/wiki/simple-continued-fraction/"
  },
  {
    "t": "0XB9GQTN9G",
    "n": "Poisson distribution",
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/poisson-distribution/"
  },
  {
    "t": "0XBRG3965F",
    "n": "Negative binomial distribution",
    "a": [
      "pascal-distribution"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/negative-binomial-distribution/"
  },
  {
    "t": "0XC1RDBY7A",
    "n": "Trace of a matrix",
    "k": "concept",
    "m": [
      "15A15"
    ],
    "u": "/wiki/trace-of-a-matrix/"
  },
  {
    "t": "0XCE070V8B",
    "n": "Independence of random variables",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/independence-of-random-variables-definition/"
  },
  {
    "t": "0XCH8QVDCQ",
    "n": "Cantor's diagonal argument",
    "a": [
      "diagonal-argument",
      "diagonalization"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/cantors-diagonal-argument/"
  },
  {
    "t": "0XCVV5Q500",
    "n": "Geometric distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/geometric-distribution-definition/"
  },
  {
    "t": "0XCYA4YERS",
    "n": "Wallis product",
    "k": "statement",
    "m": [
      "11Y60"
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    "u": "/wiki/wallis-product/"
  },
  {
    "t": "0XCYGCCX8V",
    "n": "Number of elements of each order in a cyclic group",
    "k": "statement",
    "m": [
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    ],
    "u": "/wiki/number-of-elements-of-each-order-in-a-cyclic-group/"
  },
  {
    "t": "0XD22PBMWA",
    "n": "Monotonicity of the cumulative distribution function",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/monotonicity-of-the-cumulative-distribution-function/"
  },
  {
    "t": "0XDB5AW7M1",
    "n": "Jacobi symbol",
    "k": "definition",
    "m": [
      "11A15"
    ],
    "u": "/wiki/jacobi-symbol-definition/"
  },
  {
    "t": "0XDK9CGYKJ",
    "n": "Rational function",
    "k": "concept",
    "m": [
      "26A09"
    ],
    "u": "/wiki/rational-function/"
  },
  {
    "t": "0XE690QF65",
    "n": "Even and odd functions",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/even-and-odd-functions-definition/"
  },
  {
    "t": "0XEGNW851S",
    "n": "Reflexive relation",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/reflexive-relation-definition/"
  },
  {
    "t": "0XFC1VQYEK",
    "n": "Multinomial theorem",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/multinomial-theorem/"
  },
  {
    "t": "0XFZ1BMF5Q",
    "n": "Euler's partition theorem",
    "k": "statement",
    "m": [
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    ],
    "u": "/wiki/eulers-partition-theorem/"
  },
  {
    "t": "0XGCZ4GDZ6",
    "n": "Meagre set",
    "a": [
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    ],
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/meagre-set/"
  },
  {
    "t": "0XH79S06J3",
    "n": "Archimedean ordered field",
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/archimedean-ordered-field/"
  },
  {
    "t": "0XHDTE5YMZ",
    "n": "Function",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/function-definition/"
  },
  {
    "t": "0XHM30WBVB",
    "n": "Finitely generated module",
    "k": "definition",
    "m": [
      "13E15",
      "16D10"
    ],
    "u": "/wiki/finitely-generated-module-definition/"
  },
  {
    "t": "0XHWTD3MPV",
    "n": "Derangement",
    "k": "concept",
    "m": [
      "05A05"
    ],
    "u": "/wiki/derangement/"
  },
  {
    "t": "0XHZW0VCPR",
    "n": "K-colourable graph",
    "k": "concept",
    "m": [
      "05C15"
    ],
    "u": "/wiki/k-colourable-graph/"
  },
  {
    "t": "0XJ02JBD6S",
    "n": "Indiscrete topology",
    "a": [
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    ],
    "k": "example",
    "m": [
      "54A05"
    ],
    "u": "/wiki/indiscrete-topology/"
  },
  {
    "t": "0XJVF81QF6",
    "n": "Consistent estimator",
    "k": "definition",
    "m": [
      "62F12"
    ],
    "u": "/wiki/consistent-estimator-definition/"
  },
  {
    "t": "0XJXTBCB2T",
    "n": "Orthogonal complement",
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthogonal-complement/"
  },
  {
    "t": "0XK0G19SK8",
    "n": "Order of a differential equation",
    "k": "concept",
    "m": [
      "34A99"
    ],
    "u": "/wiki/order-of-a-differential-equation/"
  },
  {
    "t": "0XK6FECMW5",
    "n": "Decomposition of a permutation into transpositions",
    "k": "statement",
    "m": [
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    ],
    "u": "/wiki/decomposition-of-a-permutation-into-transpositions/"
  },
  {
    "t": "0XKBKGTCPC",
    "n": "Length of a vector",
    "a": [
      "magnitude-of-a-vector",
      "euclidean-norm"
    ],
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/length-of-a-vector/"
  },
  {
    "t": "0XKH881BZ7",
    "n": "Surjective function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/surjective-function-definition/"
  },
  {
    "t": "0XKJPFS2W0",
    "n": "Periodic continued fraction",
    "k": "definition",
    "m": [
      "11A55"
    ],
    "u": "/wiki/periodic-continued-fraction-definition/"
  },
  {
    "t": "0XKTZRWTXX",
    "n": "Poisson limit theorem",
    "a": [
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      "poisson-approximation-to-the-binomial"
    ],
    "k": "statement",
    "m": [
      "60F05"
    ],
    "u": "/wiki/poisson-limit-theorem/"
  },
  {
    "t": "0XKWSSY8P2",
    "n": "Limit of a sequence",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/limit-of-a-sequence-definition/"
  },
  {
    "t": "0XM8BZD76G",
    "n": "Coordinate space",
    "k": "object",
    "m": [
      "15A03"
    ],
    "u": "/wiki/coordinate-space/"
  },
  {
    "t": "0XM8ZA9RNM",
    "n": "Sieve of Eratosthenes",
    "k": "concept",
    "m": [
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    ],
    "u": "/wiki/sieve-of-eratosthenes/"
  },
  {
    "t": "0XMEM406JM",
    "n": "Semigroup",
    "k": "concept",
    "m": [
      "20M10"
    ],
    "u": "/wiki/semigroup/"
  },
  {
    "t": "0XMF00T4XQ",
    "n": "Squeeze theorem",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/squeeze-theorem/"
  },
  {
    "t": "0XN3K7RSZY",
    "n": "Multivariate normal distribution",
    "a": [
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      "joint-normal-distribution",
      "gaussian-random-vector"
    ],
    "k": "concept",
    "m": [
      "62H05"
    ],
    "u": "/wiki/multivariate-normal-distribution/"
  },
  {
    "t": "0XN66MZN0Y",
    "n": "Equicontinuity",
    "a": [
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    ],
    "k": "concept",
    "m": [
      "54C35"
    ],
    "u": "/wiki/equicontinuity/"
  },
  {
    "t": "0XN7KEVSSS",
    "n": "Negative binomial distribution",
    "k": "definition",
    "m": [
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    ],
    "u": "/wiki/negative-binomial-distribution-definition/"
  },
  {
    "t": "0XNN9Z8E5A",
    "n": "Acyclic graph",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/acyclic-graph-definition/"
  },
  {
    "t": "0XNZWJ96HK",
    "n": "Rotation",
    "k": "definition",
    "m": [
      "51F20"
    ],
    "u": "/wiki/rotation-definition/"
  },
  {
    "t": "0XPKR18APA",
    "n": "Cofactor",
    "k": "concept",
    "m": [
      "15A15"
    ],
    "u": "/wiki/cofactor/"
  },
  {
    "t": "0XPR1E85W0",
    "n": "Euclidean space",
    "a": [
      "euclidean-n-space"
    ],
    "k": "object",
    "m": [
      "51M05"
    ],
    "u": "/wiki/euclidean-space/"
  },
  {
    "t": "0XPX5NC67E",
    "n": "Spectrum of a matrix",
    "k": "concept",
    "m": [
      "15A18"
    ],
    "u": "/wiki/spectrum-of-a-matrix/"
  },
  {
    "t": "0XQ2ZVN1PZ",
    "n": "Laplacian",
    "k": "definition",
    "m": [
      "35J05"
    ],
    "u": "/wiki/laplacian-definition/"
  },
  {
    "t": "0XR2QK49V6",
    "n": "Greatest element",
    "a": [
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      "greatest-element"
    ],
    "k": "concept",
    "m": [
      "06A06"
    ],
    "u": "/wiki/greatest-element/"
  },
  {
    "t": "0XR7A7RSXB",
    "n": "Negation",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/negation-definition/"
  },
  {
    "t": "0XRB469Z32",
    "n": "Method of undetermined coefficients",
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/method-of-undetermined-coefficients/"
  },
  {
    "t": "0XRDYJQES6",
    "n": "Farey sequence",
    "k": "concept",
    "m": [
      "11B57"
    ],
    "u": "/wiki/farey-sequence/"
  },
  {
    "t": "0XRJB5SSNE",
    "n": "Prime-counting function",
    "k": "definition",
    "m": [
      "11N05"
    ],
    "u": "/wiki/prime-counting-function-definition/"
  },
  {
    "t": "0XRRYF1HPE",
    "n": "Dini's theorem",
    "k": "statement",
    "m": [
      "40A30"
    ],
    "u": "/wiki/dinis-theorem/"
  },
  {
    "t": "0XSDBCP4RZ",
    "n": "Eisenstein's lemma",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/eisensteins-lemma/"
  },
  {
    "t": "0XSJ25Z9M4",
    "n": "Linear isomorphism",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/linear-isomorphism-definition/"
  },
  {
    "t": "0XTNJ6SVAC",
    "n": "Cluster point of a sequence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cluster-point-of-a-sequence/"
  },
  {
    "t": "0XTY86BZKY",
    "n": "Galois group",
    "k": "concept",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-group/"
  },
  {
    "t": "0XV2A49X6Q",
    "n": "Composition series",
    "k": "concept",
    "m": [
      "20E15",
      "20D30"
    ],
    "u": "/wiki/composition-series/"
  },
  {
    "t": "0XVEZDE9J8",
    "n": "Unit of a ring",
    "a": [
      "invertible-element"
    ],
    "k": "concept",
    "m": [
      "16U60"
    ],
    "u": "/wiki/unit-of-a-ring/"
  },
  {
    "t": "0XVGJE7Q04",
    "n": "The principal logarithm is holomorphic off the branch cut",
    "a": [
      "derivative-of-the-logarithm"
    ],
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/the-principal-logarithm-is-holomorphic-off-the-branch-cut/"
  },
  {
    "t": "0XVR72M51M",
    "n": "Galois group",
    "k": "definition",
    "m": [
      "12F10"
    ],
    "u": "/wiki/galois-group-definition/"
  },
  {
    "t": "0XW54DH28V",
    "n": "Upper central series",
    "k": "concept",
    "m": [
      "20F14"
    ],
    "u": "/wiki/upper-central-series/"
  },
  {
    "t": "0XW7V9ZZ05",
    "n": "Euclidean plane",
    "a": [
      "cartesian-plane"
    ],
    "k": "object",
    "m": [
      "51M05"
    ],
    "u": "/wiki/euclidean-plane/"
  },
  {
    "t": "0XW8HX8VEV",
    "n": "Median of a triangle",
    "a": [
      "median"
    ],
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/median-of-a-triangle/"
  },
  {
    "t": "0XWCKJZRYH",
    "n": "A root of an integer is an integer or irrational",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/a-root-of-an-integer-is-an-integer-or-irrational/"
  },
  {
    "t": "0XWG0JGDFW",
    "n": "Factorial",
    "k": "concept",
    "m": [
      "05A10"
    ],
    "u": "/wiki/factorial/"
  },
  {
    "t": "0XYAFCN0PT",
    "n": "Second fundamental theorem of calculus",
    "k": "statement",
    "m": [
      "26A42"
    ],
    "u": "/wiki/second-fundamental-theorem-of-calculus/"
  },
  {
    "t": "0XYKE8BE7X",
    "n": "Normal matrix",
    "k": "definition",
    "m": [
      "15B57",
      "15A21"
    ],
    "u": "/wiki/normal-matrix-definition/"
  },
  {
    "t": "0XYP2KKSPC",
    "n": "Normal vector",
    "k": "definition",
    "m": [
      "51N20"
    ],
    "u": "/wiki/normal-vector-definition/"
  },
  {
    "t": "0XYVDWGQX2",
    "n": "De Morgan's laws in a Boolean algebra",
    "k": "statement",
    "m": [
      "06E05"
    ],
    "u": "/wiki/de-morgans-laws-in-a-boolean-algebra/"
  },
  {
    "t": "0XYYT5KNTX",
    "n": "Direct sum of subspaces",
    "a": [
      "internal-direct-sum"
    ],
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/direct-sum-of-subspaces/"
  },
  {
    "t": "0XZ37KAB1Z",
    "n": "Disjoint sets",
    "a": [
      "pairwise-disjoint",
      "mutually-disjoint"
    ],
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/disjoint-sets/"
  },
  {
    "t": "0Y0JGC2K9T",
    "n": "Rooted tree",
    "k": "concept",
    "m": [
      "05C05"
    ],
    "u": "/wiki/rooted-tree/"
  },
  {
    "t": "0Y0KFHF47G",
    "n": "Graph of a function",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/graph-of-a-function-definition/"
  },
  {
    "t": "0Y0MQYST0M",
    "n": "Modus ponens",
    "a": [
      "implication-elimination"
    ],
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/modus-ponens/"
  },
  {
    "t": "0Y0WS5BCJ7",
    "n": "Inflection point",
    "k": "definition",
    "m": [
      "26A51"
    ],
    "u": "/wiki/inflection-point-definition/"
  },
  {
    "t": "0Y123X48GA",
    "n": "Absolutely convergent series converge",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/absolutely-convergent-series-converge/"
  },
  {
    "t": "0Y12QYTJK3",
    "n": "Limit at infinity",
    "k": "definition",
    "m": [
      "26A03"
    ],
    "u": "/wiki/limit-at-infinity-definition/"
  },
  {
    "t": "0Y17PEKF24",
    "n": "Diagonalisable matrix",
    "k": "definition",
    "m": [
      "15A20"
    ],
    "u": "/wiki/diagonalisable-matrix-definition/"
  },
  {
    "t": "0Y1MG9R5VN",
    "n": "Catalan recurrence",
    "k": "statement",
    "m": [
      "05A15"
    ],
    "u": "/wiki/catalan-recurrence/"
  },
  {
    "t": "0Y2X7P2WB7",
    "n": "Orthogonal vectors",
    "k": "concept",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/orthogonal-vectors/"
  },
  {
    "t": "0Y34JMJNE9",
    "n": "Gauss–Wantzel theorem",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/gauss-wantzel-theorem/"
  },
  {
    "t": "0Y3KSN2E9X",
    "n": "Series of functions",
    "a": [
      "function-series"
    ],
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/series-of-functions/"
  },
  {
    "t": "0Y4B7P0GS8",
    "n": "The order modulo p divides p − 1",
    "k": "statement",
    "m": [
      "11A07"
    ],
    "u": "/wiki/the-order-modulo-p-divides-p-1/"
  },
  {
    "t": "0Y4NF1DRKD",
    "n": "Trace of a product is symmetric",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/trace-of-a-product-is-symmetric/"
  },
  {
    "t": "0Y4TV2D5RQ",
    "n": "Brooks' theorem",
    "k": "statement",
    "m": [
      "05C15"
    ],
    "u": "/wiki/brooks-theorem/"
  },
  {
    "t": "0Y5Q8Q9WJ7",
    "n": "Level set",
    "k": "definition",
    "m": [
      "26B99"
    ],
    "u": "/wiki/level-set-definition/"
  },
  {
    "t": "0Y5R7TPNT1",
    "n": "Outcome",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/outcome-definition/"
  },
  {
    "t": "0Y5RHNRKJZ",
    "n": "Centroid",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/centroid-definition/"
  },
  {
    "t": "0Y5X3SDBCZ",
    "n": "Fermat's Last Theorem",
    "a": [
      "flt"
    ],
    "k": "statement",
    "m": [
      "11D41"
    ],
    "u": "/wiki/fermats-last-theorem/"
  },
  {
    "t": "0Y6QNF1J49",
    "n": "Tail sum formula for expectation",
    "a": [
      "tail-sum-formula",
      "layer-cake-formula-for-expectation"
    ],
    "k": "statement",
    "m": [
      "60A05"
    ],
    "u": "/wiki/tail-sum-formula-for-expectation/"
  },
  {
    "t": "0Y6TH5PQVS",
    "n": "Variation of parameters",
    "a": [
      "variation-of-constants"
    ],
    "k": "concept",
    "m": [
      "34A30"
    ],
    "u": "/wiki/variation-of-parameters/"
  },
  {
    "t": "0Y74KN99A5",
    "n": "Order isomorphism",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/order-isomorphism-definition/"
  },
  {
    "t": "0Y7H3SAVA1",
    "n": "Matrix addition",
    "k": "concept",
    "m": [
      "15A99"
    ],
    "u": "/wiki/matrix-addition/"
  },
  {
    "t": "0Y7PVW4Q44",
    "n": "Directional derivative",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/directional-derivative-definition/"
  },
  {
    "t": "0Y7VDAX8Q3",
    "n": "K-colourable graph",
    "k": "definition",
    "m": [
      "05C15"
    ],
    "u": "/wiki/k-colourable-graph-definition/"
  },
  {
    "t": "0Y85GYEGSF",
    "n": "Existence of an orthonormal basis",
    "k": "statement",
    "m": [
      "15A63",
      "46C05"
    ],
    "u": "/wiki/existence-of-an-orthonormal-basis/"
  },
  {
    "t": "0Y8FRYX8Q2",
    "n": "Sequence of functions",
    "k": "concept",
    "m": [
      "40A30"
    ],
    "u": "/wiki/sequence-of-functions/"
  },
  {
    "t": "0Y95Z7MT02",
    "n": "Distinct eigenvalues imply diagonalisable",
    "k": "statement",
    "m": [
      "15A20"
    ],
    "u": "/wiki/distinct-eigenvalues-imply-diagonalisable/"
  },
  {
    "t": "0Y97E2DMB7",
    "n": "Binary trees are counted by Catalan numbers",
    "k": "statement",
    "m": [
      "05C05"
    ],
    "u": "/wiki/binary-trees-are-counted-by-catalan-numbers/"
  },
  {
    "t": "0Y9D2FJRQ4",
    "n": "Second derivative",
    "k": "definition",
    "m": [
      "26A24"
    ],
    "u": "/wiki/second-derivative-definition/"
  },
  {
    "t": "0Y9H52BT03",
    "n": "Order on the natural numbers",
    "k": "definition",
    "m": [
      "03F30"
    ],
    "u": "/wiki/order-on-the-natural-numbers-definition/"
  },
  {
    "t": "0YA7X86K05",
    "n": "Characteristic polynomial of a linear recurrence",
    "k": "concept",
    "m": [
      "39A06"
    ],
    "u": "/wiki/characteristic-polynomial-of-a-linear-recurrence/"
  },
  {
    "t": "0YAA9CJQXF",
    "n": "Primitive element of a finite field",
    "k": "definition",
    "m": [
      "12E20"
    ],
    "u": "/wiki/primitive-element-of-a-finite-field-definition/"
  },
  {
    "t": "0YAG43TCXQ",
    "n": "Mersenne number",
    "k": "concept",
    "m": [
      "11A41"
    ],
    "u": "/wiki/mersenne-number/"
  },
  {
    "t": "0YAMJRK04E",
    "n": "Conditional expectation",
    "k": "definition",
    "m": [
      "60A10"
    ],
    "u": "/wiki/conditional-expectation-definition/"
  },
  {
    "t": "0YB2NRP0T5",
    "n": "Cayley table",
    "a": [
      "multiplication-table"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cayley-table/"
  },
  {
    "t": "0YB93GWTKK",
    "n": "Absorbing Markov chain",
    "k": "definition",
    "m": [
      "60J10"
    ],
    "u": "/wiki/absorbing-markov-chain-definition/"
  },
  {
    "t": "0YBDSJARWN",
    "n": "Absolute convergence",
    "k": "concept",
    "m": [
      "40A05"
    ],
    "u": "/wiki/absolute-convergence/"
  },
  {
    "t": "0YBHSJMN3J",
    "n": "Comparability of cardinals",
    "a": [
      "trichotomy-of-cardinals"
    ],
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/comparability-of-cardinals/"
  },
  {
    "t": "0YBR6QPY4Y",
    "n": "Groups of order pq",
    "k": "example",
    "m": [
      "20D20"
    ],
    "u": "/wiki/groups-of-order-pq/"
  },
  {
    "t": "0YBVKMYX0W",
    "n": "Identity theorem",
    "a": [
      "uniqueness-theorem-for-holomorphic-functions"
    ],
    "k": "statement",
    "m": [
      "30C15"
    ],
    "u": "/wiki/identity-theorem/"
  },
  {
    "t": "0YBY3VYX0K",
    "n": "Term-by-term integration",
    "k": "statement",
    "m": [
      "40A30",
      "26A42"
    ],
    "u": "/wiki/term-by-term-integration/"
  },
  {
    "t": "0YC8JT513J",
    "n": "Matrix exponential as the solution of a linear system",
    "k": "statement",
    "m": [
      "34A30",
      "15A16"
    ],
    "u": "/wiki/matrix-exponential-as-the-solution-of-a-linear-system/"
  },
  {
    "t": "0YCDZ7N8VD",
    "n": "Augmented matrix",
    "k": "definition",
    "m": [
      "15A06"
    ],
    "u": "/wiki/augmented-matrix-definition/"
  },
  {
    "t": "0YCG648KDD",
    "n": "Open map",
    "a": [
      "open-mapping"
    ],
    "k": "concept",
    "m": [
      "54C10"
    ],
    "u": "/wiki/open-map/"
  },
  {
    "t": "0YCW781Q9D",
    "n": "Seven Bridges of Königsberg",
    "k": "example",
    "m": [
      "05C45"
    ],
    "u": "/wiki/seven-bridges-of-konigsberg/"
  },
  {
    "t": "0YDRV01R8F",
    "n": "Universal property of the tensor product",
    "k": "statement",
    "m": [
      "15A69"
    ],
    "u": "/wiki/universal-property-of-the-tensor-product/"
  },
  {
    "t": "0YE5868HZB",
    "n": "Open ball",
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/open-ball/"
  },
  {
    "t": "0YE597NHGB",
    "n": "Cayley graph",
    "a": [
      "cayley-diagram"
    ],
    "k": "definition",
    "m": [
      "05C25",
      "20F65"
    ],
    "u": "/wiki/cayley-graph-definition/"
  },
  {
    "t": "0YEQG3VBYC",
    "n": "Combinations with repetition",
    "k": "definition",
    "m": [
      "05A10"
    ],
    "u": "/wiki/combinations-with-repetition-definition/"
  },
  {
    "t": "0YEW47VJ0J",
    "n": "Divisor function",
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/divisor-function-definition/"
  },
  {
    "t": "0YF0VXKXGB",
    "n": "Jacobian matrix",
    "k": "definition",
    "m": [
      "26B10"
    ],
    "u": "/wiki/jacobian-matrix-definition/"
  },
  {
    "t": "0YF6QXXWB5",
    "n": "Similar triangles",
    "k": "concept",
    "m": [
      "51M04"
    ],
    "u": "/wiki/similar-triangles/"
  },
  {
    "t": "0YF82GBTND",
    "n": "Continuity via open sets",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/continuity-via-open-sets/"
  },
  {
    "t": "0YG0ZJPTWG",
    "n": "Harmonic oscillator",
    "a": [
      "simple-harmonic-oscillator"
    ],
    "k": "example",
    "m": [
      "70J30"
    ],
    "u": "/wiki/harmonic-oscillator/"
  },
  {
    "t": "0YGN3VAA0D",
    "n": "Normaliser",
    "a": [
      "normalizer"
    ],
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/normaliser/"
  },
  {
    "t": "0YH1M56SBN",
    "n": "Sum of independent Poisson random variables",
    "k": "statement",
    "m": [
      "60E05"
    ],
    "u": "/wiki/sum-of-independent-poisson-random-variables/"
  },
  {
    "t": "0YHFMXJJAZ",
    "n": "Irrationality of the square root of a prime",
    "k": "statement",
    "m": [
      "11J72"
    ],
    "u": "/wiki/irrationality-of-the-square-root-of-a-prime/"
  },
  {
    "t": "0YJ3WRR9RY",
    "n": "Integers modulo n as a quotient group",
    "k": "example",
    "m": [
      "20K01"
    ],
    "u": "/wiki/integers-modulo-n-as-a-quotient-group/"
  },
  {
    "t": "0YK27TJ4WF",
    "n": "Order of a pole",
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/order-of-a-pole-definition/"
  },
  {
    "t": "0YKA9J3XEE",
    "n": "Hilbert's basis theorem",
    "k": "statement",
    "m": [
      "13E05"
    ],
    "u": "/wiki/hilberts-basis-theorem/"
  },
  {
    "t": "0YKDJBV26S",
    "n": "Essential singularity",
    "k": "definition",
    "m": [
      "30D30"
    ],
    "u": "/wiki/essential-singularity-definition/"
  },
  {
    "t": "0YKY4M3KRQ",
    "n": "Principal branch",
    "a": [
      "principal-branch-of-the-logarithm"
    ],
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/principal-branch-definition/"
  },
  {
    "t": "0YM6P6C206",
    "n": "Existence of nth roots of complex numbers",
    "k": "statement",
    "m": [
      "12D99"
    ],
    "u": "/wiki/existence-of-nth-roots-of-complex-numbers/"
  },
  {
    "t": "0YMB1676R1",
    "n": "Affine span",
    "a": [
      "affine-hull"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/affine-span/"
  },
  {
    "t": "0YMP521ZR5",
    "n": "Power series are holomorphic in the disc of convergence",
    "a": [
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    ],
    "k": "statement",
    "m": [
      "30B10"
    ],
    "u": "/wiki/power-series-are-holomorphic-in-the-disc-of-convergence/"
  },
  {
    "t": "0YMSEZE1VH",
    "n": "Free abelian group",
    "k": "definition",
    "m": [
      "20K15",
      "20K20"
    ],
    "u": "/wiki/free-abelian-group-definition/"
  },
  {
    "t": "0YMT0D2442",
    "n": "Irreducible element",
    "k": "concept",
    "m": [
      "13A05"
    ],
    "u": "/wiki/irreducible-element/"
  },
  {
    "t": "0YMYMNQ0QZ",
    "n": "Simple group",
    "k": "concept",
    "m": [
      "20E32"
    ],
    "u": "/wiki/simple-group/"
  },
  {
    "t": "0YP7WYXF9V",
    "n": "Direct product of groups",
    "a": [
      "external-direct-product"
    ],
    "k": "definition",
    "m": [
      "20E34"
    ],
    "u": "/wiki/direct-product-of-groups-definition/"
  },
  {
    "t": "0YPRY7T4PK",
    "n": "Flux through a surface",
    "k": "definition",
    "m": [
      "26B15"
    ],
    "u": "/wiki/flux-through-a-surface-definition/"
  },
  {
    "t": "0YQ458D7PF",
    "n": "Fundamental theorem of contour integration",
    "a": [
      "fundamental-theorem-for-complex-line-integrals"
    ],
    "k": "statement",
    "m": [
      "30E20"
    ],
    "u": "/wiki/fundamental-theorem-of-contour-integration/"
  },
  {
    "t": "0YQPZB5Q1G",
    "n": "Orbit",
    "a": [
      "orbit-of-a-group-action"
    ],
    "k": "concept",
    "m": [
      "20B05"
    ],
    "u": "/wiki/orbit/"
  },
  {
    "t": "0YQQYET8YQ",
    "n": "Intersecting chords theorem",
    "a": [
      "chord-theorem"
    ],
    "k": "statement",
    "m": [
      "51M04"
    ],
    "u": "/wiki/intersecting-chords-theorem/"
  },
  {
    "t": "0YQSGNYE3K",
    "n": "Matrix of a linear map",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/matrix-of-a-linear-map/"
  },
  {
    "t": "0YRG241HQQ",
    "n": "Pascal's rule",
    "k": "statement",
    "m": [
      "05A10"
    ],
    "u": "/wiki/pascals-rule/"
  },
  {
    "t": "0YS40B38JD",
    "n": "Closed balls are closed",
    "k": "statement",
    "m": [
      "54E35"
    ],
    "u": "/wiki/closed-balls-are-closed/"
  },
  {
    "t": "0YS8RX87F4",
    "n": "Line integral of a vector field",
    "k": "definition",
    "m": [
      "26B12"
    ],
    "u": "/wiki/line-integral-of-a-vector-field-definition/"
  },
  {
    "t": "0YSCSX5YZC",
    "n": "Ordinal number",
    "a": [
      "ordinal",
      "von-neumann-ordinal"
    ],
    "k": "concept",
    "m": [
      "03E10"
    ],
    "u": "/wiki/ordinal-number/"
  },
  {
    "t": "0YSE802YCQ",
    "n": "Group action",
    "a": [
      "g-set",
      "left-group-action"
    ],
    "k": "definition",
    "m": [
      "20B05"
    ],
    "u": "/wiki/group-action-definition/"
  },
  {
    "t": "0YSRR1JTKZ",
    "n": "x^n converges pointwise but not uniformly on [0, 1]",
    "k": "counterexample",
    "m": [
      "40A30"
    ],
    "u": "/wiki/x-n-converges-pointwise-but-not-uniformly-on-0-1/"
  },
  {
    "t": "0YT586TKXF",
    "n": "Cyclic subgroup generated by an element",
    "a": [
      "cyclic-subgroup"
    ],
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/cyclic-subgroup-generated-by-an-element-definition/"
  },
  {
    "t": "0YTCMFB4HC",
    "n": "Critical point",
    "k": "concept",
    "m": [
      "26A24"
    ],
    "u": "/wiki/critical-point/"
  },
  {
    "t": "0YTJ3RN3GE",
    "n": "Dyck word",
    "k": "concept",
    "m": [
      "68Q45"
    ],
    "u": "/wiki/dyck-word/"
  },
  {
    "t": "0YV2CKP2AV",
    "n": "Root of unity",
    "k": "concept",
    "m": [
      "11R18"
    ],
    "u": "/wiki/root-of-unity/"
  },
  {
    "t": "0YVDC5PYDW",
    "n": "Conditional probability distribution",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/conditional-probability-distribution-definition/"
  },
  {
    "t": "0YVKNB7V5F",
    "n": "Metric topology",
    "a": [
      "topology-of-a-metric-space"
    ],
    "k": "concept",
    "m": [
      "54E35"
    ],
    "u": "/wiki/metric-topology/"
  },
  {
    "t": "0YVQKBNV2R",
    "n": "Skewness",
    "k": "concept",
    "m": [
      "62E10"
    ],
    "u": "/wiki/skewness/"
  },
  {
    "t": "0YVRNEDSVG",
    "n": "Floor function",
    "k": "definition",
    "m": [
      "26A09"
    ],
    "u": "/wiki/floor-function-definition/"
  },
  {
    "t": "0YVVN6R715",
    "n": "Homotopy invariance of line integrals of closed forms",
    "a": [
      "helmholtz-theorem-for-lamellar-fields"
    ],
    "k": "statement",
    "m": [
      "26B20"
    ],
    "u": "/wiki/homotopy-invariance-of-line-integrals-of-closed-forms/"
  },
  {
    "t": "0YVVXT3A0B",
    "n": "Number of distinct prime factors",
    "a": [
      "little-omega-function"
    ],
    "k": "definition",
    "m": [
      "11A25"
    ],
    "u": "/wiki/number-of-distinct-prime-factors-definition/"
  },
  {
    "t": "0YWDAZPRPQ",
    "n": "Decomposition of a permutation into disjoint cycles",
    "k": "statement",
    "m": [
      "20B30"
    ],
    "u": "/wiki/decomposition-of-a-permutation-into-disjoint-cycles/"
  },
  {
    "t": "0YWZJEABB2",
    "n": "Catalan numbers",
    "k": "concept",
    "m": [
      "05A15"
    ],
    "u": "/wiki/catalan-numbers/"
  },
  {
    "t": "0YXEHVA93R",
    "n": "Tangent plane to a graph",
    "k": "definition",
    "m": [
      "26B05"
    ],
    "u": "/wiki/tangent-plane-to-a-graph-definition/"
  },
  {
    "t": "0YXEQWRGP0",
    "n": "Choice function",
    "k": "definition",
    "m": [
      "03E25"
    ],
    "u": "/wiki/choice-function-definition/"
  },
  {
    "t": "0YY06KP3ZQ",
    "n": "Quadratic reciprocity for the Jacobi symbol",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/quadratic-reciprocity-for-the-jacobi-symbol/"
  },
  {
    "t": "0YY8VX28JR",
    "n": "Moore–Penrose inverse",
    "a": [
      "pseudoinverse"
    ],
    "k": "concept",
    "m": [
      "15A09"
    ],
    "u": "/wiki/moore-penrose-inverse/"
  },
  {
    "t": "0YYMY95FWS",
    "n": "Matrix of a linear map",
    "k": "definition",
    "m": [
      "15A04"
    ],
    "u": "/wiki/matrix-of-a-linear-map-definition/"
  },
  {
    "t": "0YYT36R4YD",
    "n": "Conformal map",
    "a": [
      "conformal-mapping",
      "angle-preserving-map"
    ],
    "k": "concept",
    "m": [
      "30C35"
    ],
    "u": "/wiki/conformal-map/"
  },
  {
    "t": "0YYWCNTPWR",
    "n": "Quotient group",
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/quotient-group-definition/"
  },
  {
    "t": "0YZ3T5Q7XN",
    "n": "Determinant as a group homomorphism",
    "k": "example",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-as-a-group-homomorphism/"
  },
  {
    "t": "0YZXNE3HFR",
    "n": "Mercator series",
    "k": "statement",
    "m": [
      "30B10",
      "33B10"
    ],
    "u": "/wiki/mercator-series/"
  },
  {
    "t": "0Z05VCBQ7Y",
    "n": "Cycle",
    "k": "concept",
    "m": [
      "05C38"
    ],
    "u": "/wiki/cycle/"
  },
  {
    "t": "0Z0NE3J6JX",
    "n": "Pell's equation",
    "k": "concept",
    "m": [
      "11D09"
    ],
    "u": "/wiki/pells-equation/"
  },
  {
    "t": "0Z1G2F8DGY",
    "n": "Power series of complex cosine",
    "a": [
      "taylor-series-of-cosine"
    ],
    "k": "statement",
    "m": [
      "33B10"
    ],
    "u": "/wiki/power-series-of-complex-cosine/"
  },
  {
    "t": "0Z1Y7JHGBR",
    "n": "Diffeomorphism",
    "k": "definition",
    "m": [
      "58C25"
    ],
    "u": "/wiki/diffeomorphism-definition/"
  },
  {
    "t": "0Z22VQH17V",
    "n": "Stirling numbers of the first kind",
    "k": "definition",
    "m": [
      "11B73"
    ],
    "u": "/wiki/stirling-numbers-of-the-first-kind-definition/"
  },
  {
    "t": "0Z2P41SVDP",
    "n": "Separable space",
    "k": "concept",
    "m": [
      "54D65"
    ],
    "u": "/wiki/separable-space/"
  },
  {
    "t": "0Z367CGNRM",
    "n": "Minimum spanning tree",
    "k": "definition",
    "m": [
      "05C05"
    ],
    "u": "/wiki/minimum-spanning-tree-definition/"
  },
  {
    "t": "0Z3FEWZ8HA",
    "n": "Diagonalisation of a quadratic form",
    "k": "statement",
    "m": [
      "11E04",
      "15A63"
    ],
    "u": "/wiki/diagonalisation-of-a-quadratic-form/"
  },
  {
    "t": "0Z3GDY89T5",
    "n": "Decomposition into generalised eigenspaces",
    "k": "statement",
    "m": [
      "15A18",
      "15A21"
    ],
    "u": "/wiki/decomposition-into-generalised-eigenspaces/"
  },
  {
    "t": "0Z3YKRQZ48",
    "n": "Linear first-order equation",
    "k": "definition",
    "m": [
      "34A30"
    ],
    "u": "/wiki/linear-first-order-equation-definition/"
  },
  {
    "t": "0Z409N8RDG",
    "n": "Intermediate field",
    "k": "concept",
    "m": [
      "12F05"
    ],
    "u": "/wiki/intermediate-field/"
  },
  {
    "t": "0Z41C17TGP",
    "n": "A function with nonnegative second derivative is convex",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/a-function-with-nonnegative-second-derivative-is-convex/"
  },
  {
    "t": "0Z424HK8CQ",
    "n": "Kernel of a homomorphism",
    "a": [
      "kernel-of-a-group-homomorphism"
    ],
    "k": "definition",
    "m": [
      "20A05"
    ],
    "u": "/wiki/kernel-of-a-homomorphism-definition/"
  },
  {
    "t": "0Z47M1B2VS",
    "n": "Burnside's lemma",
    "a": [
      "orbit-counting-theorem",
      "cauchy-frobenius-lemma"
    ],
    "k": "statement",
    "m": [
      "20B05",
      "05E18"
    ],
    "u": "/wiki/burnsides-lemma/"
  },
  {
    "t": "0Z49NTR1DZ",
    "n": "Symmetric difference",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/symmetric-difference-definition/"
  },
  {
    "t": "0Z49YH6ZWY",
    "n": "Taylor series",
    "k": "concept",
    "m": [
      "41A58"
    ],
    "u": "/wiki/taylor-series/"
  },
  {
    "t": "0Z4BWARC38",
    "n": "Determinant of the identity matrix",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-the-identity-matrix/"
  },
  {
    "t": "0Z4V98VN5E",
    "n": "Proper metric space",
    "k": "definition",
    "m": [
      "54E45"
    ],
    "u": "/wiki/proper-metric-space-definition/"
  },
  {
    "t": "0Z57EC6YX3",
    "n": "Product topology",
    "k": "definition",
    "m": [
      "54B10"
    ],
    "u": "/wiki/product-topology-definition/"
  },
  {
    "t": "0Z5905Q73D",
    "n": "Alternating group",
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/alternating-group/"
  },
  {
    "t": "0Z5R9TVWQH",
    "n": "Interval of convergence",
    "k": "definition",
    "m": [
      "30B10"
    ],
    "u": "/wiki/interval-of-convergence-definition/"
  },
  {
    "t": "0Z7HDDXX3X",
    "n": "Greatest element",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/greatest-element-definition/"
  },
  {
    "t": "0Z83DHFMYM",
    "n": "Computing the inverse by row reduction",
    "k": "concept",
    "m": [
      "15A09",
      "65F05"
    ],
    "u": "/wiki/computing-the-inverse-by-row-reduction/"
  },
  {
    "t": "0Z87BHAFTB",
    "n": "Matching",
    "k": "definition",
    "m": [
      "05C70"
    ],
    "u": "/wiki/matching-definition/"
  },
  {
    "t": "0Z8ATBPM5W",
    "n": "The complex conjugate is not holomorphic",
    "a": [
      "z-conjugate-is-not-holomorphic"
    ],
    "k": "counterexample",
    "m": [
      "30A99"
    ],
    "u": "/wiki/the-complex-conjugate-is-not-holomorphic/"
  },
  {
    "t": "0Z8CSYVHDJ",
    "n": "Local homeomorphism from the inverse function theorem",
    "a": [
      "invertible-derivative-implies-local-homeomorphism"
    ],
    "k": "statement",
    "m": [
      "26B10"
    ],
    "u": "/wiki/local-homeomorphism-from-the-inverse-function-theorem/"
  },
  {
    "t": "0Z8FM54P86",
    "n": "Countable union of countable sets is countable",
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/countable-union-of-countable-sets-is-countable/"
  },
  {
    "t": "0Z8PSSAVBA",
    "n": "Probability-generating function",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-generating-function-definition/"
  },
  {
    "t": "0Z962ECCXR",
    "n": "Trial division",
    "k": "concept",
    "m": [
      "11Y05"
    ],
    "u": "/wiki/trial-division/"
  },
  {
    "t": "0Z9JB71BS0",
    "n": "Constant multiple rule",
    "k": "statement",
    "m": [
      "26A24"
    ],
    "u": "/wiki/constant-multiple-rule/"
  },
  {
    "t": "0Z9N1ER0W0",
    "n": "Dimension of the space of linear maps",
    "k": "statement",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/dimension-of-the-space-of-linear-maps/"
  },
  {
    "t": "0ZA4AX4MW3",
    "n": "Cauchy criterion for sequences",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/cauchy-criterion-for-sequences/"
  },
  {
    "t": "0ZAF9KHDDF",
    "n": "Greatest common divisor in an integral domain",
    "k": "concept",
    "m": [
      "13A05"
    ],
    "u": "/wiki/greatest-common-divisor-in-an-integral-domain/"
  },
  {
    "t": "0ZAZZ34WQS",
    "n": "Memorylessness",
    "a": [
      "memoryless-property",
      "lack-of-memory"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/memorylessness/"
  },
  {
    "t": "0ZB2JG1M9C",
    "n": "Nilpotent element",
    "k": "concept",
    "m": [
      "16N40"
    ],
    "u": "/wiki/nilpotent-element/"
  },
  {
    "t": "0ZB3M68NYQ",
    "n": "Pairwise independence",
    "a": [
      "pairwise-independent"
    ],
    "k": "concept",
    "m": [
      "60A05"
    ],
    "u": "/wiki/pairwise-independence/"
  },
  {
    "t": "0ZB7J071WQ",
    "n": "A complex number times its conjugate",
    "k": "statement",
    "m": [
      "30A99"
    ],
    "u": "/wiki/a-complex-number-times-its-conjugate/"
  },
  {
    "t": "0ZB84QCDKR",
    "n": "Bernoulli equation",
    "k": "definition",
    "m": [
      "34A34"
    ],
    "u": "/wiki/bernoulli-equation-definition/"
  },
  {
    "t": "0ZC78099PA",
    "n": "Gradient points in the direction of steepest ascent",
    "k": "statement",
    "m": [
      "26B12"
    ],
    "u": "/wiki/gradient-points-in-the-direction-of-steepest-ascent/"
  },
  {
    "t": "0ZC7FYE0NZ",
    "n": "Orbits partition the set",
    "k": "statement",
    "m": [
      "20B05"
    ],
    "u": "/wiki/orbits-partition-the-set/"
  },
  {
    "t": "0ZC9YTXZRY",
    "n": "Rank of a matrix",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/rank-of-a-matrix/"
  },
  {
    "t": "0ZCAXY9563",
    "n": "Ascending chain condition",
    "k": "definition",
    "m": [
      "06A06"
    ],
    "u": "/wiki/ascending-chain-condition-definition/"
  },
  {
    "t": "0ZCK8DQYN1",
    "n": "Closed set",
    "k": "concept",
    "m": [
      "54A05"
    ],
    "u": "/wiki/closed-set/"
  },
  {
    "t": "0ZCSMYHTBP",
    "n": "Jacobian determinant",
    "a": [
      "jacobian-of-a-map"
    ],
    "k": "concept",
    "m": [
      "26B10"
    ],
    "u": "/wiki/jacobian-determinant/"
  },
  {
    "t": "0ZCWPNZTQ3",
    "n": "Companion matrix",
    "k": "concept",
    "m": [
      "15A21"
    ],
    "u": "/wiki/companion-matrix/"
  },
  {
    "t": "0ZCY0Z80B6",
    "n": "Neighbourhood",
    "k": "concept",
    "m": [
      "05C07"
    ],
    "u": "/wiki/neighbourhood/"
  },
  {
    "t": "0ZCZK72B45",
    "n": "Tangent vector of a curve",
    "a": [
      "velocity-vector"
    ],
    "k": "concept",
    "m": [
      "53A04"
    ],
    "u": "/wiki/tangent-vector-of-a-curve/"
  },
  {
    "t": "0ZD2CF6ZS0",
    "n": "Dual basis",
    "k": "concept",
    "m": [
      "15A04"
    ],
    "u": "/wiki/dual-basis/"
  },
  {
    "t": "0ZDDNBQSC4",
    "n": "Angle at a point",
    "k": "definition",
    "m": [
      "51M05"
    ],
    "u": "/wiki/angle-at-a-point-definition/"
  },
  {
    "t": "0ZDW0H0VX4",
    "n": "Exponent of a group",
    "k": "concept",
    "m": [
      "20F50"
    ],
    "u": "/wiki/exponent-of-a-group/"
  },
  {
    "t": "0ZEHZY85E6",
    "n": "Angle between two vectors",
    "k": "concept",
    "m": [
      "51N20"
    ],
    "u": "/wiki/angle-between-two-vectors/"
  },
  {
    "t": "0ZEPNS9BXK",
    "n": "g to the order of the group is the identity",
    "a": [
      "power-of-the-group-order-is-identity"
    ],
    "k": "statement",
    "m": [
      "20D60"
    ],
    "u": "/wiki/g-to-the-order-of-the-group-is-the-identity/"
  },
  {
    "t": "0ZERJX6PH6",
    "n": "Universal property of the quotient space",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/universal-property-of-the-quotient-space/"
  },
  {
    "t": "0ZET0ZH16W",
    "n": "Median of a triangle",
    "k": "definition",
    "m": [
      "51M04"
    ],
    "u": "/wiki/median-of-a-triangle-definition/"
  },
  {
    "t": "0ZFZ8ZG3EN",
    "n": "Minimum degree",
    "k": "concept",
    "m": [
      "05C07"
    ],
    "u": "/wiki/minimum-degree/"
  },
  {
    "t": "0ZG1PNEP35",
    "n": "Homothety",
    "a": [
      "dilation",
      "central-similarity"
    ],
    "k": "concept",
    "m": [
      "51N10"
    ],
    "u": "/wiki/homothety/"
  },
  {
    "t": "0ZG3Z5JZ85",
    "n": "Symmetry group",
    "k": "concept",
    "m": [
      "20B25"
    ],
    "u": "/wiki/symmetry-group/"
  },
  {
    "t": "0ZG61TFBES",
    "n": "Countable set",
    "k": "definition",
    "m": [
      "03E10"
    ],
    "u": "/wiki/countable-set-definition/"
  },
  {
    "t": "0ZG9QF40HE",
    "n": "Parametrised surface",
    "a": [
      "parametric-surface"
    ],
    "k": "concept",
    "m": [
      "53A05"
    ],
    "u": "/wiki/parametrised-surface/"
  },
  {
    "t": "0ZGC7ZESYN",
    "n": "Proposition",
    "k": "concept",
    "m": [
      "03B05"
    ],
    "u": "/wiki/proposition/"
  },
  {
    "t": "0ZH5AJ2ED7",
    "n": "Baire space",
    "k": "concept",
    "m": [
      "54E52"
    ],
    "u": "/wiki/baire-space/"
  },
  {
    "t": "0ZHQMQ2C1N",
    "n": "Transfinite induction",
    "a": [
      "well-founded-induction"
    ],
    "k": "statement",
    "m": [
      "03E10"
    ],
    "u": "/wiki/transfinite-induction/"
  },
  {
    "t": "0ZHSTAG8ZY",
    "n": "Exterior derivative",
    "k": "concept",
    "m": [
      "58A10"
    ],
    "u": "/wiki/exterior-derivative/"
  },
  {
    "t": "0ZHWKQMVX5",
    "n": "Finite-dimensional vector space",
    "k": "concept",
    "m": [
      "15A03"
    ],
    "u": "/wiki/finite-dimensional-vector-space/"
  },
  {
    "t": "0ZJ87ZZ8PK",
    "n": "Conditional independence",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/conditional-independence-definition/"
  },
  {
    "t": "0ZJM9D7NPS",
    "n": "Canonical isomorphism with the double dual",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/canonical-isomorphism-with-the-double-dual/"
  },
  {
    "t": "0ZKPH2BD1T",
    "n": "Cycle notation",
    "k": "concept",
    "m": [
      "20B30"
    ],
    "u": "/wiki/cycle-notation/"
  },
  {
    "t": "0ZKZBJPG2J",
    "n": "Absorption law",
    "k": "statement",
    "m": [
      "06B05"
    ],
    "u": "/wiki/absorption-law/"
  },
  {
    "t": "0ZMT1GP4KM",
    "n": "Path-connected spaces are connected",
    "k": "statement",
    "m": [
      "54D05"
    ],
    "u": "/wiki/path-connected-spaces-are-connected/"
  },
  {
    "t": "0ZMY8441GW",
    "n": "Elementary symmetric polynomials",
    "k": "definition",
    "m": [
      "05E05"
    ],
    "u": "/wiki/elementary-symmetric-polynomials/"
  },
  {
    "t": "0ZMYX7GMH0",
    "n": "First isomorphism theorem for rings",
    "k": "statement",
    "m": [
      "16D25"
    ],
    "u": "/wiki/first-isomorphism-theorem-for-rings/"
  },
  {
    "t": "0ZN07RQ3JS",
    "n": "Stirling numbers of the second kind",
    "k": "definition",
    "m": [
      "11B73"
    ],
    "u": "/wiki/stirling-numbers-of-the-second-kind-definition/"
  },
  {
    "t": "0ZN2J42SK7",
    "n": "Determinant of a 2 by 2 matrix",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-2-by-2-matrix/"
  },
  {
    "t": "0ZN39QDTP9",
    "n": "K(a) is isomorphic to K[x] modulo the minimal polynomial",
    "k": "statement",
    "m": [
      "12F05"
    ],
    "u": "/wiki/k-a-is-isomorphic-to-k-x-modulo-the-minimal-polynomial/"
  },
  {
    "t": "0ZN9EZTEM6",
    "n": "Conditional probability distribution",
    "a": [
      "conditional-distribution",
      "conditional-law"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/conditional-probability-distribution/"
  },
  {
    "t": "0ZND7NQ970",
    "n": "Eigenvalue",
    "k": "definition",
    "m": [
      "15A18"
    ],
    "u": "/wiki/eigenvalue-definition/"
  },
  {
    "t": "0ZNMMA9TF5",
    "n": "Intersection",
    "k": "concept",
    "m": [
      "03E20"
    ],
    "u": "/wiki/intersection/"
  },
  {
    "t": "0ZNSSK8ZK1",
    "n": "p-series test",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/p-series-test/"
  },
  {
    "t": "0ZNX6DQ3EJ",
    "n": "Implication",
    "k": "definition",
    "m": [
      "03B05"
    ],
    "u": "/wiki/implication-definition/"
  },
  {
    "t": "0ZNXZB4HNB",
    "n": "Power sum symmetric polynomial",
    "k": "concept",
    "m": [
      "05E05"
    ],
    "u": "/wiki/power-sum-symmetric-polynomial/"
  },
  {
    "t": "0ZNZH0EXFX",
    "n": "Inverse element",
    "k": "concept",
    "m": [
      "08A02"
    ],
    "u": "/wiki/inverse-element/"
  },
  {
    "t": "0ZPB3180AY",
    "n": "Matrix of the dual map is the transpose",
    "k": "statement",
    "m": [
      "15A04"
    ],
    "u": "/wiki/matrix-of-the-dual-map-is-the-transpose/"
  },
  {
    "t": "0ZPQHH37PF",
    "n": "Grönwall bound",
    "k": "concept",
    "m": [
      "34A40"
    ],
    "u": "/wiki/gronwall-bound/"
  },
  {
    "t": "0ZPV68RN1X",
    "n": "Recursively defined sequence",
    "k": "concept",
    "m": [
      "11B37"
    ],
    "u": "/wiki/recursively-defined-sequence/"
  },
  {
    "t": "0ZQJ7KEFQ5",
    "n": "Tower law for indices",
    "a": [
      "multiplicativity-of-the-index"
    ],
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/tower-law-for-indices/"
  },
  {
    "t": "0ZS54B9GJF",
    "n": "The logarithm is strictly concave",
    "k": "statement",
    "m": [
      "26A51"
    ],
    "u": "/wiki/the-logarithm-is-strictly-concave/"
  },
  {
    "t": "0ZT24EC90K",
    "n": "Central moment",
    "k": "definition",
    "m": [
      "60E05"
    ],
    "u": "/wiki/central-moment-definition/"
  },
  {
    "t": "0ZTEH055YF",
    "n": "Operator norm",
    "k": "definition",
    "m": [
      "47A30"
    ],
    "u": "/wiki/operator-norm-definition/"
  },
  {
    "t": "0ZTGMDNVTB",
    "n": "Intersection of subgroups is a subgroup",
    "k": "statement",
    "m": [
      "20A05"
    ],
    "u": "/wiki/intersection-of-subgroups-is-a-subgroup/"
  },
  {
    "t": "0ZTKJJDGR7",
    "n": "Zero matrix",
    "k": "object",
    "m": [
      "15A99"
    ],
    "u": "/wiki/zero-matrix/"
  },
  {
    "t": "0ZV14XRNF0",
    "n": "Closed and exact forms",
    "k": "concept",
    "m": [
      "58A12"
    ],
    "u": "/wiki/closed-and-exact-forms/"
  },
  {
    "t": "0ZV2YKKZ58",
    "n": "Solution of a linear recurrence",
    "k": "definition",
    "m": [
      "39A06"
    ],
    "u": "/wiki/solution-of-a-linear-recurrence-definition/"
  },
  {
    "t": "0ZV9A7EV0F",
    "n": "Complex power",
    "k": "definition",
    "m": [
      "33B10"
    ],
    "u": "/wiki/complex-power-definition/"
  },
  {
    "t": "0ZVEAYVRC3",
    "n": "Law of large numbers",
    "a": [
      "lln"
    ],
    "k": "concept",
    "m": [
      "60F05",
      "60F15"
    ],
    "u": "/wiki/law-of-large-numbers/"
  },
  {
    "t": "0ZVHXDSZC7",
    "n": "Quotient set",
    "k": "definition",
    "m": [
      "03E20"
    ],
    "u": "/wiki/quotient-set-definition/"
  },
  {
    "t": "0ZVQKTRKVQ",
    "n": "Bipartite graph",
    "k": "concept",
    "m": [
      "05C75"
    ],
    "u": "/wiki/bipartite-graph/"
  },
  {
    "t": "0ZXJ2455NJ",
    "n": "Uniqueness of limits",
    "k": "statement",
    "m": [
      "40A05"
    ],
    "u": "/wiki/uniqueness-of-limits/"
  },
  {
    "t": "0ZXSF2YQV2",
    "n": "Isometric isomorphism",
    "a": [
      "surjective-isometry",
      "bijective-isometry"
    ],
    "k": "concept",
    "m": [
      "54E40"
    ],
    "u": "/wiki/isometric-isomorphism/"
  },
  {
    "t": "0ZXW95S44M",
    "n": "Second supplement to quadratic reciprocity",
    "k": "statement",
    "m": [
      "11A15"
    ],
    "u": "/wiki/second-supplement-to-quadratic-reciprocity/"
  },
  {
    "t": "0ZXZ82FTX2",
    "n": "Finite field",
    "k": "concept",
    "m": [
      "12E20"
    ],
    "u": "/wiki/finite-field/"
  },
  {
    "t": "0ZY9DX8FBF",
    "n": "Probability density function",
    "a": [
      "pdf",
      "density-function",
      "density"
    ],
    "k": "concept",
    "m": [
      "60E05"
    ],
    "u": "/wiki/probability-density-function/"
  },
  {
    "t": "0ZYBZ34RT2",
    "n": "Probability space",
    "k": "definition",
    "m": [
      "60A05"
    ],
    "u": "/wiki/probability-space-definition/"
  },
  {
    "t": "0ZZ4RHTR9X",
    "n": "Taylor polynomial",
    "k": "concept",
    "m": [
      "41A58"
    ],
    "u": "/wiki/taylor-polynomial/"
  },
  {
    "t": "0ZZ7ZYDR8W",
    "n": "Meromorphic function",
    "a": [
      "meromorphic"
    ],
    "k": "concept",
    "m": [
      "30D30"
    ],
    "u": "/wiki/meromorphic-function/"
  },
  {
    "t": "0ZZQ2E1MTE",
    "n": "Determinant of a transpose",
    "k": "statement",
    "m": [
      "15A15"
    ],
    "u": "/wiki/determinant-of-a-transpose/"
  },
  {
    "t": "0ZZR8D7Y1Z",
    "n": "Subnormal series",
    "k": "concept",
    "m": [
      "20E15"
    ],
    "u": "/wiki/subnormal-series/"
  },
  {
    "t": "0ZZRSX91QR",
    "n": "Argument of a complex number",
    "k": "definition",
    "m": [
      "30A99"
    ],
    "u": "/wiki/argument-of-a-complex-number-definition/"
  },
  {
    "t": "0ZZXSBTR4J",
    "n": "Rank of a linear map",
    "k": "concept",
    "m": [
      "15A03",
      "15A04"
    ],
    "u": "/wiki/rank-of-a-linear-map/"
  },
  {
    "t": "3C53TD",
    "n": "Lagrange's theorem",
    "k": "statement",
    "m": [
      "20D60"
    ],
    "u": "/wiki/lagranges-theorem/"
  },
  {
    "t": "AAYEQE",
    "n": "The subgroups of the symmetric group S4",
    "k": "computation",
    "u": "/wiki/the-subgroups-of-the-symmetric-group-s4/"
  },
  {
    "t": "G5S1M9",
    "n": "Group",
    "k": "concept",
    "m": [
      "20A05"
    ],
    "u": "/wiki/group/"
  },
  {
    "t": "00-README",
    "n": "Math 2.0: specification",
    "k": "spec",
    "u": "/spec/00-README/"
  },
  {
    "t": "01-research-2026",
    "n": "01. The state of the field, October 2026",
    "k": "spec",
    "u": "/spec/01-research-2026/"
  },
  {
    "t": "02-the-goal",
    "n": "02. The goal",
    "k": "spec",
    "u": "/spec/02-the-goal/"
  },
  {
    "t": "03-architecture",
    "n": "03. Architecture",
    "k": "spec",
    "u": "/spec/03-architecture/"
  },
  {
    "t": "04-object-model",
    "n": "04. The object model",
    "k": "spec",
    "u": "/spec/04-object-model/"
  },
  {
    "t": "05-knowledge-graph",
    "n": "05. The knowledge graph",
    "k": "spec",
    "u": "/spec/05-knowledge-graph/"
  },
  {
    "t": "06-versioned-storage",
    "n": "06. Versioned storage: metadata, artefacts, provenance",
    "k": "spec",
    "u": "/spec/06-versioned-storage/"
  },
  {
    "t": "07-formal-engine",
    "n": "07. The formal engine: Lean 4, Mathlib, proof checking",
    "k": "spec",
    "u": "/spec/07-formal-engine/"
  },
  {
    "t": "08-computational-engine",
    "n": "08. The computational engine: CAS, SMT, numerical experiments",
    "k": "spec",
    "u": "/spec/08-computational-engine/"
  },
  {
    "t": "09-literature-ingestion",
    "n": "09. Literature ingestion: papers, books, existing libraries",
    "k": "spec",
    "u": "/spec/09-literature-ingestion/"
  },
  {
    "t": "10-autoformalization-and-fidelity",
    "n": "10. Autoformalization and statement fidelity",
    "k": "spec",
    "u": "/spec/10-autoformalization-and-fidelity/"
  },
  {
    "t": "11-api-and-orchestrator",
    "n": "11. The Mathematical API and the agent orchestrator",
    "k": "spec",
    "u": "/spec/11-api-and-orchestrator/"
  },
  {
    "t": "12-research-agents",
    "n": "12. Research agents",
    "k": "spec",
    "u": "/spec/12-research-agents/"
  },
  {
    "t": "13-research-workspace",
    "n": "13. The research workspace: search, explore, explain, collaborate",
    "k": "spec",
    "u": "/spec/13-research-workspace/"
  },
  {
    "t": "14-search",
    "n": "14. Search",
    "k": "spec",
    "u": "/spec/14-search/"
  },
  {
    "t": "15-trust-and-audit",
    "n": "15. Trust and the audit",
    "k": "spec",
    "u": "/spec/15-trust-and-audit/"
  },
  {
    "t": "16-collaboration-and-governance",
    "n": "16. Collaboration and governance",
    "k": "spec",
    "u": "/spec/16-collaboration-and-governance/"
  },
  {
    "t": "17-evaluation",
    "n": "17. Evaluation",
    "k": "spec",
    "u": "/spec/17-evaluation/"
  },
  {
    "t": "18-coverage-all-math",
    "n": "18. Coverage: what \"all mathematics\" means",
    "k": "spec",
    "u": "/spec/18-coverage-all-math/"
  },
  {
    "t": "19-milestones",
    "n": "19. Milestones",
    "k": "spec",
    "u": "/spec/19-milestones/"
  },
  {
    "t": "20-repository-layout",
    "n": "20. Repository layout",
    "k": "spec",
    "u": "/spec/20-repository-layout/"
  },
  {
    "t": "21-open-questions",
    "n": "21. Open questions",
    "k": "spec",
    "u": "/spec/21-open-questions/"
  },
  {
    "t": "corpus/00-README",
    "n": "Math 2.0: the corpus specification",
    "k": "spec",
    "u": "/spec/corpus/00-README/"
  },
  {
    "t": "corpus/01-research",
    "n": "K01. Research",
    "k": "spec",
    "u": "/spec/corpus/01-research/"
  },
  {
    "t": "corpus/01a-reference-works",
    "n": "K01, part A. Encyclopedic, reference and database sources of mathematics written by people",
    "k": "spec",
    "u": "/spec/corpus/01a-reference-works/"
  },
  {
    "t": "corpus/01b-literature-and-books",
    "n": "K01, part B. Literature indexes, open textbooks and syllabi: sizes, licences, channels (research for math2)",
    "k": "spec",
    "u": "/spec/corpus/01b-literature-and-books/"
  },
  {
    "t": "corpus/01c-formal-libraries",
    "n": "K01, part C. Formal libraries and formal / informal-formal datasets",
    "k": "spec",
    "u": "/spec/corpus/01c-formal-libraries/"
  },
  {
    "t": "corpus/01d-model-generation",
    "n": "K01, part D. LLM generation at scale: quality, prior projects, memorization, law, terms and cost",
    "k": "spec",
    "u": "/spec/corpus/01d-model-generation/"
  },
  {
    "t": "corpus/01e-representation-and-packaging",
    "n": "K01, part E. Representation, pedagogy, exercises, packaging and notation",
    "k": "spec",
    "u": "/spec/corpus/01e-representation-and-packaging/"
  },
  {
    "t": "corpus/02-the-goal",
    "n": "K02. The goal of the corpus",
    "k": "spec",
    "u": "/spec/corpus/02-the-goal/"
  },
  {
    "t": "corpus/03-identifiers",
    "n": "K03. Identifiers: tags of ten characters",
    "k": "spec",
    "u": "/spec/corpus/03-identifiers/"
  },
  {
    "t": "corpus/04-inventory",
    "n": "K04. The inventory",
    "k": "spec",
    "u": "/spec/corpus/04-inventory/"
  },
  {
    "t": "corpus/05-human-sources",
    "n": "K05. Human sources",
    "k": "spec",
    "u": "/spec/corpus/05-human-sources/"
  },
  {
    "t": "corpus/06-formal-sources",
    "n": "K06. Formal sources",
    "k": "spec",
    "u": "/spec/corpus/06-formal-sources/"
  },
  {
    "t": "corpus/07-machine-generation",
    "n": "K07. Machine generation: what models write, and how",
    "k": "spec",
    "u": "/spec/corpus/07-machine-generation/"
  },
  {
    "t": "corpus/08-the-node-card",
    "n": "K08. The node card: what a good node contains",
    "k": "spec",
    "u": "/spec/corpus/08-the-node-card/"
  },
  {
    "t": "corpus/09-quality",
    "n": "K09. Quality: how the corpus stays correct",
    "k": "spec",
    "u": "/spec/corpus/09-quality/"
  },
  {
    "t": "corpus/10-structure-and-notation",
    "n": "K10. Structure, notation and conventions",
    "k": "spec",
    "u": "/spec/corpus/10-structure-and-notation/"
  },
  {
    "t": "corpus/11-packaging",
    "n": "K11. Packaging: from nodes to courses, books and articles",
    "k": "spec",
    "u": "/spec/corpus/11-packaging/"
  },
  {
    "t": "corpus/12-pipeline-and-operations",
    "n": "K12. Pipeline and operations",
    "k": "spec",
    "u": "/spec/corpus/12-pipeline-and-operations/"
  },
  {
    "t": "corpus/13-legal-and-ethics",
    "n": "K13. Law and ethics",
    "k": "spec",
    "u": "/spec/corpus/13-legal-and-ethics/"
  },
  {
    "t": "corpus/14-roadmap",
    "n": "K14. Roadmap",
    "k": "spec",
    "u": "/spec/corpus/14-roadmap/"
  },
  {
    "t": "corpus/15-open-questions",
    "n": "K15. Open questions",
    "k": "spec",
    "u": "/spec/corpus/15-open-questions/"
  }
]