Every idea

Ideas 6751–6900 of 7806.

Name	Kind	Subject
Strictly convex space	Definition	Functional analysis
Law of the iterated logarithm	Theorem	Probability theory and stochastic processes
Ring of invariants	Definition	Commutative algebra
Mazur's torsion theorem	Theorem	Number theory
Injective tensor product	Concept	Functional analysis
Borel summation	Definition	Sequences, series, summability
Intuitionism	Definition	Mathematical logic and foundations
Stiff equation	Concept	Numerical analysis
Baire property	Definition	General topology
Moduli of algebraic curves	Definition	Algebraic geometry
Normal coordinates	Concept	Differential geometry
Normal number	Definition	Number theory
Integrable function	Definition	Measure and integration
Gromov's theorem on groups of polynomial growth	Theorem	Group theory and generalizations
Spin structure	Concept	Differential geometry
Krein–Milman theorem	Theorem	Functional analysis
Apéry's theorem	Theorem	Number theory
Equidistribution modulo one	Definition	Number theory
Legendrian submanifold	Definition	Differential geometry
Set theory	Concept	Mathematical logic and foundations
Atomic domain	Definition	Commutative algebra
Global field	Definition	Number theory
Natural density	Concept	Number theory
Embedded prime	Concept	Commutative algebra
Hessenberg matrix	Definition	Linear and multilinear algebra; matrix theory
Infinite Galois theory	Concept	Field theory and polynomials
Proof of the uniqueness of inverses	Proof	Group theory and generalizations
Differential Galois theory	Definition	Field theory and polynomials
Singular simplicial set	Concept	Algebraic topology
Regulator of a number field	Concept	Number theory
Church–Turing thesis	Concept	Mathematical logic and foundations
Noncommutative geometry	Definition	Global analysis, analysis on manifolds
Serre's modularity conjecture	Theorem	Number theory
Random ordinary differential equation	Concept	Ordinary differential equations
Dirichlet distribution	Example	Probability theory and stochastic processes
Fundamental theorem of calculus for Lebesgue integrals	Theorem	Real functions
Heyting arithmetic	Definition	Mathematical logic and foundations
Phase space	Definition	Ordinary differential equations
Kurosh subgroup theorem	Theorem	Group theory and generalizations
Riemann–Hilbert problem	Problem	Functions of a complex variable
Height function	Definition	Number theory
Euler's theorem on normal curvatures	Theorem	Differential geometry
Infinite product	Definition	Sequences, series, summability
An infinite product converges iff its series of logarithms converges	Proposition	Sequences, series, summability
Schauder basis	Definition	Functional analysis
Abel–Poisson summation of Fourier series	Concept	Harmonic analysis on Euclidean spaces
Cramér's theorem	Theorem	Probability theory and stochastic processes
Seifert–van Kampen theorem	Theorem	Manifolds and cell complexes
Erdős–Rado theorem	Theorem	Mathematical logic and foundations
Kirchhoff's matrix tree theorem	Theorem	Combinatorics
Quintic equation	Example	Field theory and polynomials
Fundamental group	Concept	Algebraic topology
Minimal prime ideal	Concept	Commutative algebra
Minlos theorem	Theorem	Measure and integration
Hopf's formula	Theorem	Group theory and generalizations
Localization of a module	Definition	Commutative algebra
Fourier series	Definition	Harmonic analysis on Euclidean spaces
Zero divisors are the union of associated primes	Theorem	Commutative algebra
Countably compact space	Concept	General topology
Submanifold	Definition	Global analysis, analysis on manifolds
Tsirelson space	Example	Functional analysis
Torsion of a curve	Concept	Differential geometry
Radical ideal	Concept	Commutative algebra
Silverman–Toeplitz theorem	Theorem	Sequences, series, summability
Quasiconvex function	Concept	Real functions
Hecke operator	Concept	Number theory
Group of Lie type	Definition	Group theory and generalizations
Shanks transformation	Definition	Numerical analysis
Unique factorization of ideals in a Dedekind domain	Theorem	Commutative algebra
Arithmetic progression	Example	Number theory
Hardy's inequality	Theorem	Real functions
Green's relations	Concept	Group theory and generalizations
Operator space	Definition	Operator theory
Toda bracket	Definition	Algebraic topology
Brown–Peterson cohomology	Concept	Algebraic topology
Persistent homology	Concept	Algebraic topology
Foliation	Definition	Manifolds and cell complexes
Prime model	Concept	Mathematical logic and foundations
Chebyshev's sum inequality	Theorem	Real functions
Divisible group	Definition	Group theory and generalizations
Fatou's lemma	Lemma	Measure and integration
Kleene's T predicate	Concept	Mathematical logic and foundations
Reduced homology	Definition	Algebraic topology
Clifford theory	Theorem	Group theory and generalizations
Moore plane	Counterexample	General topology
Lp space	Concept	Functional analysis
Quaternionic analysis	Concept	Functions of a complex variable
Artin group	Concept	Group theory and generalizations
Lebesgue differentiation theorem	Theorem	Measure and integration
Injective tensor product	Definition	Functional analysis
Denjoy–Carleman–Ahlfors theorem	Theorem	Functions of a complex variable
Quasiconformal mapping	Concept	Functions of a complex variable
Weyl–von Neumann theorem	Theorem	Operator theory
Binary quadratic form	Concept	Number theory
Weyl tensor	Concept	Differential geometry
Marsden–Weinstein reduction	Concept	Differential geometry
Control system	Definition	Systems theory; control
F-space	Definition	Functional analysis
Supercompact cardinal	Definition	Mathematical logic and foundations
Extremal graph theory	Concept	Combinatorics
Periodic boundary conditions	Definition	Ordinary differential equations
Elliptic operator	Definition	Operator theory
Homogeneous polynomial	Definition	Commutative algebra
Maximum and minimum	Definition	Real functions
Tensor product of fields	Definition	Field theory and polynomials
Shafarevich's theorem on solvable Galois groups	Theorem	Field theory and polynomials
Adele ring	Concept	Number theory
Loop-erased random walk	Definition	Probability theory and stochastic processes
Puiseux series	Concept	Commutative algebra
Krein space	Definition	Functional analysis
Block system	Concept	Group theory and generalizations
Linking number	Concept	Manifolds and cell complexes
Hilbertian field	Concept	Field theory and polynomials
Excision theorem	Theorem	Algebraic topology
Duffing equation	Example	Ordinary differential equations
Cayley–Hamilton theorem for modules	Proposition	Commutative algebra
Green's function	Concept	Ordinary differential equations
Singular homology	Definition	Algebraic topology
Local class field theory	Concept	Number theory
Order of an entire function	Concept	Functions of a complex variable
Siegel zero	Definition	Number theory
Elliptic curve	Definition	Algebraic geometry
Homology sphere	Definition	Manifolds and cell complexes
Hamilton–Jacobi–Bellman equation	Concept	Calculus of variations and optimal control; optimization
Krull's principal ideal theorem	Theorem	Commutative algebra
Homotopy type	Concept	Algebraic topology
Monodromy	Definition	Ordinary differential equations
Tracy–Widom distribution	Definition	Probability theory and stochastic processes
Lefschetz principle	Theorem	Mathematical logic and foundations
Golay code	Object	Information and communication theory, circuits
Group algebra	Definition	Group theory and generalizations
Null-homotopic map	Concept	Algebraic topology
Tensor product of modules	Definition	Commutative algebra
Grothendieck universe	Concept	Mathematical logic and foundations
Tensor rank	Definition	Linear and multilinear algebra; matrix theory
Whitney immersion theorem	Theorem	Manifolds and cell complexes
Delay differential equation	Definition	Ordinary differential equations
Hasse principle	Definition	Number theory
Topological group structure of a vector space	Concept	Functional analysis
Auslander–Buchsbaum formula	Theorem	Commutative algebra
Carleson measure	Concept	Functions of a complex variable
Hadamard product	Concept	Linear and multilinear algebra; matrix theory
Gaussian curvature	Concept	Differential geometry
Abelian extension	Definition	Field theory and polynomials
Ultrafilter	Definition	General topology
Weak homotopy equivalence	Definition	Algebraic topology
Braid group	Definition	Group theory and generalizations
Polynomial interpolation	Concept	Approximations and expansions
Beth number	Concept	Mathematical logic and foundations
Inner regular measure	Definition	Measure and integration