Every idea

Ideas 1651–1800 of 7806.

Name	Kind	Subject
Spanning tree	Definition	Combinatorics
Convergence of random variables	Concept	Probability theory and stochastic processes
Meagre set	Definition	General topology
Inverse of a complex number	Proposition	Field theory and polynomials
Convex hull	Concept	Convex and discrete geometry
Comparison test for improper integrals	Theorem	Sequences, series, summability
Heron's formula	Theorem	Geometry
Maximum likelihood estimation	Concept	Statistics
Scalar matrix	Definition	Linear and multilinear algebra; matrix theory
Sequential compactness	Concept	General topology
The complex numbers form a field	Theorem	Field theory and polynomials
Grönwall bound	Definition	Ordinary differential equations
Total order	Concept	Order, lattices, ordered algebraic structures
Trace is a coefficient of the characteristic polynomial	Proposition	Linear and multilinear algebra; matrix theory
Infinite pigeonhole principle	Theorem	Combinatorics
Determinant of a matrix with a zero row	Proposition	Linear and multilinear algebra; matrix theory
Bertrand's ballot theorem	Theorem	Combinatorics
Reversing a path changes the sign of a line integral	Proposition	Real functions
Multiplicativity of the totient function	Theorem	Number theory
Identity function	Definition	Mathematical logic and foundations
Complex conjugate	Concept	Functions of a complex variable
Choice function	Concept	Mathematical logic and foundations
Orthonormal basis	Definition	Linear and multilinear algebra; matrix theory
Transposition	Concept	Group theory and generalizations
Initial value problem	Concept	Ordinary differential equations
Solvable group	Concept	Group theory and generalizations
Algebraic multiplicity	Concept	Linear and multilinear algebra; matrix theory
Order of quantifiers	Concept	Mathematical logic and foundations
Recurrence relation	Concept	Difference and functional equations
Second derivative test	Proposition	Real functions
Deficient number	Definition	Number theory
Cardinality	Concept	Mathematical logic and foundations
Cyclic group of order n	Example	Group theory and generalizations
Transcendence of pi	Theorem	Number theory
Eigenspace	Concept	Linear and multilinear algebra; matrix theory
Galton–Watson process	Concept	Probability theory and stochastic processes
Sylvester's determinant theorem	Theorem	Linear and multilinear algebra; matrix theory
The complex exponential is entire	Proposition	Special functions
Tensor product of vector spaces	Definition	Linear and multilinear algebra; matrix theory
Continuous dependence on initial data	Theorem	Ordinary differential equations
Dedekind cut	Concept	Real functions
Markov chain	Concept	Probability theory and stochastic processes
Automorphism group of a cyclic group	Theorem	Group theory and generalizations
Sum of the reciprocals of the factorials	Example	Sequences, series, summability
Entire function	Concept	Functions of a complex variable
Completion of a metric space	Definition	General topology
Cylindrical coordinates	Definition	Geometry
Oriented angle	Definition	Geometry
Equilibrium point	Definition	Ordinary differential equations
Clique	Definition	Combinatorics
Multivariate normal distribution	Definition	Statistics
Closed set	Definition	General topology
Derivative of the inverse function	Proposition	Real functions
Cauchy sequences are bounded	Proposition	Sequences, series, summability
Lexicographic order	Definition	Order, lattices, ordered algebraic structures
Vector projection	Definition	Geometry
Parametrised curve	Concept	Differential geometry
Uniqueness of the complete ordered field	Theorem	Field theory and polynomials
Equivalence relation	Concept	Mathematical logic and foundations
Sequence	Concept	Sequences, series, summability
Inscribed angle theorem	Theorem	Geometry
Derivative of arcsine	Proposition	Special functions
Fibonacci sequence	Example	Number theory
Product topology	Concept	General topology
Independence of two random variables	Concept	Probability theory and stochastic processes
Epsilon-delta definition of a limit	Proposition	Real functions
Binomial coefficient	Concept	Combinatorics
Concave function	Concept	Real functions
Mutual independence of events	Definition	Probability theory and stochastic processes
Eccentricity	Definition	Geometry
Curl	Definition	Real functions
Prüfer sequence	Concept	Combinatorics
The quaternions	Example	Associative rings and algebras
Critical point	Definition	Real functions
Normal core	Concept	Group theory and generalizations
Induction from an arbitrary base case	Theorem	Mathematical logic and foundations
Subfield	Concept	Field theory and polynomials
Pointwise convergence	Concept	Sequences, series, summability
Coprime integers	Definition	Number theory
Bijective function	Concept	Mathematical logic and foundations
Ring homomorphism	Definition	Associative rings and algebras
P-value	Concept	Statistics
Forest	Concept	Combinatorics
Frobenius endomorphism	Definition	Commutative algebra
Universal quantifier	Concept	Mathematical logic and foundations
General solution of an inhomogeneous linear equation	Theorem	Ordinary differential equations
Euclidean domain	Definition	Commutative algebra
Polynomial evaluation	Definition	Commutative algebra
Universal property of the quotient group	Theorem	Group theory and generalizations
Angle at a point	Concept	Geometry
Mersenne number	Definition	Number theory
Cancellation in an integral domain	Proposition	Commutative algebra
Trace is linear	Proposition	Linear and multilinear algebra; matrix theory
Addition formulas for hyperbolic functions	Proposition	Special functions
Function for which the iterated integrals differ	Counterexample	Real functions
Transitive relation	Concept	Mathematical logic and foundations
Minimal polynomial of an algebraic element	Definition	Field theory and polynomials
Solution space of a homogeneous linear equation has dimension n	Theorem	Ordinary differential equations
Separable space	Definition	General topology
The alternating group A5 is simple	Example	Group theory and generalizations
Adjugate matrix	Definition	Linear and multilinear algebra; matrix theory
Absolute value is multiplicative	Proposition	Real functions
Subring	Concept	Associative rings and algebras
Nilpotent groups are solvable	Proposition	Group theory and generalizations
Antichain	Definition	Order, lattices, ordered algebraic structures
Dirichlet's theorem on arithmetic progressions	Theorem	Number theory
Chain	Definition	Order, lattices, ordered algebraic structures
Complete residue system	Concept	Number theory
Cardinality of the power set	Proposition	Mathematical logic and foundations
Cauchy distribution	Concept	Probability theory and stochastic processes
The medians meet at the centroid	Theorem	Geometry
Skewness	Definition	Statistics
Independence of random variables	Concept	Probability theory and stochastic processes
Quotient of continuous functions is continuous	Proposition	Real functions
Wedge product of forms	Concept	Linear and multilinear algebra; matrix theory
Curl-free field that is not conservative	Counterexample	Real functions
Angles in the same segment are equal	Corollary	Geometry
Completely multiplicative function	Definition	Number theory
Degree of a field extension	Definition	Field theory and polynomials
Thales's theorem	Theorem	Geometry
Ideal generated by a subset	Concept	Commutative algebra
Extended real number line	Object	Real functions
System of linear equations	Concept	Linear and multilinear algebra; matrix theory
Decimal expansion as a series	Example	Sequences, series, summability
Triple integral	Definition	Real functions
Gaussian prime	Definition	Number theory
Cavalieri's principle	Theorem	Measure and integration
Bijection principle	Theorem	Combinatorics
Disjunctive normal form	Concept	Mathematical logic and foundations
Moment of inertia	Definition	Real functions
Fundamental theorem of symmetric polynomials	Theorem	Combinatorics
Hyperbolic sine	Definition	Special functions
One-point compactification	Concept	General topology
Area under a curve	Concept	Real functions
Integral of sine	Proposition	Real functions
Telescoping series	Concept	Sequences, series, summability
Laurent series	Concept	Functions of a complex variable
Units of Z/nZ are the residues coprime to n	Proposition	Number theory
Second derivative test in several variables	Theorem	Calculus of variations and optimal control; optimization
Commutative ring	Definition	Commutative algebra
Cayley graph	Concept	Combinatorics
Divergence theorem on a rectangle in the plane	Proposition	Real functions
Ascending chain condition	Concept	Order, lattices, ordered algebraic structures
Function space	Example	Linear and multilinear algebra; matrix theory
Dirichlet integral	Example	Real functions
Characteristic equation	Concept	Ordinary differential equations
Conjugate subgroup	Concept	Group theory and generalizations
Fundamental matrix	Concept	Ordinary differential equations
Hyperbolic sine	Concept	Special functions
Arithmetic function	Definition	Number theory