Every idea

Ideas 1951–2100 of 7806.

Name	Kind	Subject
Cauchy's estimates	Corollary	Functions of a complex variable
Abelian simple groups have prime order	Proposition	Group theory and generalizations
Kronecker product	Definition	Linear and multilinear algebra; matrix theory
Combinatorics	Concept	Combinatorics
Cauchy's theorem	Theorem	Group theory and generalizations
Logical equivalence	Concept	Mathematical logic and foundations
Sum of subspaces	Concept	Linear and multilinear algebra; matrix theory
Kernel of a ring homomorphism	Concept	Associative rings and algebras
Sample variance	Definition	Statistics
Lindemann–Weierstrass theorem	Theorem	Number theory
Convolution theorem for the Laplace transform	Theorem	Integral transforms, operational calculus
Universal set	Concept	Mathematical logic and foundations
Fundamental theorem of algebra	Theorem	Field theory and polynomials
Kőnig's theorem	Theorem	Combinatorics
Function of several variables	Concept	Real functions
Subgroups of abelian groups are normal	Proposition	Group theory and generalizations
Central binomial coefficient	Concept	Combinatorics
Order of an element	Definition	Group theory and generalizations
Order of the general linear group over a finite field	Theorem	Group theory and generalizations
Alternating harmonic series	Example	Sequences, series, summability
Weierstrass approximation theorem	Theorem	Approximations and expansions
Ordered pair	Definition	Mathematical logic and foundations
Multiplication of natural numbers	Definition	Mathematical logic and foundations
Inverse Laplace transform	Definition	Integral transforms, operational calculus
Bernstein polynomial	Concept	Approximations and expansions
Legendre symbol	Concept	Number theory
Cardinality	Definition	Mathematical logic and foundations
Estimate for approximate solutions	Theorem	Ordinary differential equations
System of linear equations	Definition	Linear and multilinear algebra; matrix theory
Tychonoff's theorem	Theorem	General topology
Integer partition	Concept	Combinatorics
Gaussian elimination	Concept	Linear and multilinear algebra; matrix theory
Split polynomial	Concept	Field theory and polynomials
Vector projection	Concept	Geometry
Existential quantifier	Definition	Mathematical logic and foundations
Saddle point	Concept	Real functions
Minimum spanning tree	Concept	Combinatorics
Concyclic points	Definition	Geometry
An orthonormal family is linearly independent	Proposition	Linear and multilinear algebra; matrix theory
Divergent series	Concept	Sequences, series, summability
Bayesian inference	Concept	Statistics
L'Hôpital's rule	Theorem	Real functions
Sylow p-subgroup	Definition	Group theory and generalizations
Divergence theorem	Theorem	Real functions
Legendre's theorem on continued fractions	Theorem	Number theory
Square matrix	Concept	Linear and multilinear algebra; matrix theory
Lifting-the-exponent lemma	Lemma	Number theory
Group homomorphism	Concept	Group theory and generalizations
Dihedral group	Concept	Group theory and generalizations
Power rule	Proposition	Real functions
Combination	Definition	Combinatorics
Galois group of a polynomial	Definition	Field theory and polynomials
Convex set	Definition	Convex and discrete geometry
Laplace transform of a derivative	Proposition	Integral transforms, operational calculus
Upper and lower Darboux sums	Concept	Real functions
Path-connected space	Definition	General topology
Sum of a series	Definition	Sequences, series, summability
Distance from a point to a plane	Proposition	Geometry
Lipschitz functions are uniformly continuous	Proposition	Real functions
Determinant of a triangular matrix	Proposition	Linear and multilinear algebra; matrix theory
Integral of 1/x	Proposition	Real functions
Automorphism group	Concept	Group theory and generalizations
Zero divisor	Definition	Associative rings and algebras
Scalar multiplication of matrices	Definition	Linear and multilinear algebra; matrix theory
Brahmagupta–Fibonacci identity	Proposition	Number theory
Logarithm of a product	Proposition	Special functions
Singular value	Definition	Linear and multilinear algebra; matrix theory
Minkowski's theorem	Theorem	Number theory
Solving initial value problems with the Laplace transform	Concept	Integral transforms, operational calculus
Factor theorem	Theorem	Commutative algebra
Topologist's sine curve	Counterexample	General topology
Confidence interval	Definition	Statistics
Determinant of a matrix with two equal rows	Proposition	Linear and multilinear algebra; matrix theory
Rayleigh quotient	Definition	Linear and multilinear algebra; matrix theory
Homogeneous first-order equation	Definition	Ordinary differential equations
Differentiable function	Concept	Real functions
Action by left multiplication	Example	Group theory and generalizations
Gaussian integers	Object	Number theory
Matrix exponential	Definition	Linear and multilinear algebra; matrix theory
Complement of an open set is closed	Proposition	General topology
Alternating multilinear map	Concept	Linear and multilinear algebra; matrix theory
Young diagram	Definition	Combinatorics
Maclaurin series	Concept	Approximations and expansions
Idempotent matrix	Definition	Linear and multilinear algebra; matrix theory
Isolated zeros theorem	Theorem	Functions of a complex variable
Associativity	Concept	General algebraic systems
Compactness and sequential compactness agree in metric spaces	Theorem	General topology
Removable discontinuity	Concept	Real functions
Lower central series	Concept	Group theory and generalizations
Continuous image of a compact set is compact	Proposition	General topology
Parallelepiped	Definition	Geometry
Inverse function theorem	Theorem	Real functions
General Leibniz rule	Theorem	Real functions
Ramsey number	Concept	Combinatorics
Regular graph	Definition	Combinatorics
Determinant via the Schur complement	Theorem	Linear and multilinear algebra; matrix theory
Upper and lower Darboux integrals	Concept	Real functions
Characteristic subgroup	Concept	Group theory and generalizations
Sum of binomial coefficients	Theorem	Combinatorics
Nondegenerate bilinear form	Definition	Linear and multilinear algebra; matrix theory
Subgroups of cyclic groups are cyclic	Theorem	Group theory and generalizations
Distributive law	Theorem	Mathematical logic and foundations
Covariance	Concept	Probability theory and stochastic processes
Reduced word	Concept	Group theory and generalizations
Bernoulli number	Concept	Number theory
Stirling's formula	Theorem	Approximations and expansions
Wronskian	Concept	Ordinary differential equations
Idempotent matrix	Concept	Linear and multilinear algebra; matrix theory
Basis	Concept	Linear and multilinear algebra; matrix theory
Venn diagram	Concept	Mathematical logic and foundations
Fundamental solution of Pell's equation	Definition	Number theory
Vertex cover	Definition	Combinatorics
Bolzano–Weierstrass theorem	Theorem	Sequences, series, summability
Exponential generating function	Definition	Combinatorics
Classification of Pythagorean triples	Theorem	Number theory
Directed graph	Concept	Combinatorics
The alternating group is generated by three-cycles	Proposition	Group theory and generalizations
Norm induced by an inner product	Definition	Functional analysis
Dirichlet convolution	Definition	Number theory
Posterior probability	Concept	Statistics
Affine combination	Concept	Geometry
A polynomial over a field has at most as many roots as its degree	Theorem	Field theory and polynomials
One-sided limits of a monotone function exist	Theorem	Real functions
Primitive root modulo n	Definition	Number theory
Hausdorff maximal principle	Theorem	Mathematical logic and foundations
Fixed field	Definition	Field theory and polynomials
Determinant of a linear map is the determinant of its matrix	Proposition	Linear and multilinear algebra; matrix theory
Strong induction	Theorem	Mathematical logic and foundations
Monotone sequence	Definition	Sequences, series, summability
Ring isomorphism	Concept	Associative rings and algebras
The exponential function is strictly increasing	Proposition	Special functions
Restriction of an endomorphism to an invariant subspace	Concept	Linear and multilinear algebra; matrix theory
Ceva's theorem	Theorem	Geometry
Maximum degree	Definition	Combinatorics
p-norm on R^n	Example	Functional analysis
Homogeneous linear equation	Concept	Ordinary differential equations
Dirac delta function	Object	Functional analysis
Signature of a quadratic form	Definition	Linear and multilinear algebra; matrix theory
Stationary distribution	Concept	Probability theory and stochastic processes
Continuity at a point	Concept	General topology
Symmetric bilinear form associated with a quadratic form	Concept	Linear and multilinear algebra; matrix theory
Degree of a vertex	Concept	Combinatorics
Nowhere dense set	Definition	General topology
Equivalence relation induced by a function	Concept	Mathematical logic and foundations
Jordan measure	Concept	Measure and integration
Free group	Concept	Group theory and generalizations
Cyclic group	Concept	Group theory and generalizations
Variance under scaling	Proposition	Probability theory and stochastic processes
Modulus of a complex number	Definition	Functions of a complex variable
Diameter of a set	Concept	General topology