Every idea

Ideas 7201–7350 of 7806.

Name	Kind	Subject
De Finetti's theorem	Theorem	Probability theory and stochastic processes
Poisson kernel	Definition	Potential theory
Doubling measure	Concept	Measure and integration
Wreath product	Concept	Group theory and generalizations
Harris inequality	Theorem	Probability theory and stochastic processes
Serre's criterion for normality	Theorem	Commutative algebra
Dunford–Pettis property	Definition	Functional analysis
Consistency of summability methods	Concept	Sequences, series, summability
Matrix norm	Definition	Linear and multilinear algebra; matrix theory
Proof of Lagrange's theorem	Proof	Group theory and generalizations
Coherent ring	Concept	Commutative algebra
Class	Definition	Mathematical logic and foundations
Cellular homology	Concept	Algebraic topology
Reeb foliation	Example	Manifolds and cell complexes
Packing measure	Concept	Measure and integration
Lusternik–Schnirelmann category	Concept	Algebraic topology
Balog–Szemerédi–Gowers theorem	Theorem	Number theory
Canonical module	Concept	Commutative algebra
Symplectic vector space	Definition	Linear and multilinear algebra; matrix theory
Zero-dimensional space	Definition	General topology
Cofibration	Concept	Algebraic topology
Existence of transcendence bases	Theorem	Field theory and polynomials
Euler summation	Definition	Sequences, series, summability
Tennenbaum's theorem	Theorem	Mathematical logic and foundations
Prüfer domain	Definition	Commutative algebra
Turing machine	Definition	Mathematical logic and foundations
d'Alembert's equation	Example	Ordinary differential equations
Composition operator	Definition	Operator theory
Quaternion-Kähler manifold	Definition	Differential geometry
Schrödinger operator	Definition	Ordinary differential equations
Cerf theory	Concept	Manifolds and cell complexes
Legendre's equation	Example	Ordinary differential equations
Sequent calculus	Concept	Mathematical logic and foundations
Matrix function	Concept	Linear and multilinear algebra; matrix theory
Stiefel manifold	Example	Algebraic topology
Sturm comparison theorem	Theorem	Ordinary differential equations
Tensor rank	Concept	Linear and multilinear algebra; matrix theory
Dehn twist	Concept	Manifolds and cell complexes
Lambert summation	Concept	Sequences, series, summability
Impossibility of the classical construction problems	Theorem	Field theory and polynomials
Prime ideals of a localization	Proposition	Commutative algebra
Tube lemma	Lemma	General topology
Rees algebra	Concept	Commutative algebra
Frobenius method	Concept	Ordinary differential equations
Hamiltonian vector field	Definition	Differential geometry
Stopping time	Definition	Probability theory and stochastic processes
Nielsen–Schreier theorem	Theorem	Group theory and generalizations
Cantor space	Object	General topology
de Rham cohomology	Definition	Global analysis, analysis on manifolds
Sidon set	Definition	Number theory
Classifying space of a group	Concept	Algebraic topology
Cameron–Martin theorem	Theorem	Measure and integration
Jordan decomposition of a signed measure	Theorem	Measure and integration
Random walk on a group	Concept	Probability theory and stochastic processes
Eilenberg–MacLane space	Definition	Algebraic topology
Orlicz space	Concept	Functional analysis
Delzant's theorem on toric manifolds	Theorem	Differential geometry
Smooth manifold	Definition	Global analysis, analysis on manifolds
Tits group	Object	Group theory and generalizations
Axiom of determinacy	Definition	Mathematical logic and foundations
Complex multiplication	Definition	Number theory
Weyl tensor	Definition	Differential geometry
Outer measure	Definition	Measure and integration
Complex measure	Definition	Measure and integration
Space of null sequences	Example	Functional analysis
Matrix function	Definition	Linear and multilinear algebra; matrix theory
Signature	Concept	Mathematical logic and foundations
Chen's theorem	Theorem	Number theory
Van der Pol oscillator	Example	Ordinary differential equations
Sigma-finite measure	Concept	Measure and integration
Generic filter	Concept	Mathematical logic and foundations
Cobordism ring	Definition	Manifolds and cell complexes
Axiom of dependent choice	Concept	Mathematical logic and foundations
Natural boundary	Definition	Functions of a complex variable
Aitken's delta-squared process	Concept	Numerical analysis
Stable manifold theorem	Theorem	Ordinary differential equations
Reflection formula for the gamma function	Theorem	Special functions
Rate function	Definition	Probability theory and stochastic processes
Hilbert symbol	Concept	Number theory
Anderson localization	Definition	Statistical mechanics, structure of matter
Riemann surface	Definition	Functions of a complex variable
p-adic absolute value	Concept	Field theory and polynomials
Inner model	Definition	Mathematical logic and foundations
Holonomy	Concept	Differential geometry
Filtration of a module	Concept	Commutative algebra
Hadamard three-lines theorem	Theorem	Functions of a complex variable
Hilbert sum	Concept	Functional analysis
Provability logic	Concept	Mathematical logic and foundations
Calabi conjecture	Theorem	Several complex variables and analytic spaces
Local ring	Definition	Commutative algebra
Matrix congruence	Concept	Linear and multilinear algebra; matrix theory
Hopf algebra structure on cohomology	Concept	Algebraic topology
Smoothness classes	Concept	Real functions
Double sequence	Definition	Sequences, series, summability
Intersection form	Concept	Manifolds and cell complexes
Alexander polynomial	Definition	Manifolds and cell complexes
Pseudocompact space	Definition	General topology
Nonstandard analysis	Concept	Real functions
Sequential space	Concept	General topology
Baker's theorem	Theorem	Number theory
Corona theorem	Theorem	Functions of a complex variable
Luzin N property	Concept	Real functions
Richardson extrapolation	Concept	Numerical analysis
Wirtinger derivatives	Concept	Functions of a complex variable
Morley rank	Concept	Mathematical logic and foundations
Series in Banach spaces	Concept	Sequences, series, summability
Divisor class group	Concept	Commutative algebra
Lattice (group)	Concept	Number theory
Stopping time	Concept	Probability theory and stochastic processes
Galois theory	Concept	Field theory and polynomials
Contact manifold	Definition	Differential geometry
Whitehead product	Definition	Algebraic topology
Robertson–Seymour theorem	Theorem	Combinatorics
Penrose–Hawking singularity theorems	Theorem	Relativity and gravitational theory
Essential supremum	Concept	Measure and integration
Field trace	Concept	Field theory and polynomials
Stieltjes function	Concept	Real functions
Gödel's completeness theorem	Theorem	Mathematical logic and foundations
Ideal class group	Concept	Number theory
Easton's theorem	Theorem	Mathematical logic and foundations
Metacompact space	Concept	General topology
McKay conjecture	Theorem	Group theory and generalizations
Tight and overtwisted contact structures	Concept	Manifolds and cell complexes
Null-homotopic map	Definition	Algebraic topology
Kolmogorov extension theorem	Theorem	Probability theory and stochastic processes
Bridge number	Definition	Manifolds and cell complexes
Linear and stable summation methods	Definition	Sequences, series, summability
Menger sponge	Example	General topology
Henselian ring	Definition	Commutative algebra
Lebesgue's density theorem	Theorem	Measure and integration
Classifying space	Concept	Algebraic topology
Euler transform	Concept	Sequences, series, summability
G-structure	Definition	Differential geometry
Cobordism	Definition	Manifolds and cell complexes
Riemann–Lebesgue lemma	Theorem	Harmonic analysis on Euclidean spaces
Bézout domain	Definition	Commutative algebra
Riesz–Fischer theorem	Theorem	Functional analysis
Schottky group	Definition	Functions of a complex variable
Fubini's theorem for series	Theorem	Sequences, series, summability
Kullback–Leibler divergence	Definition	Information and communication theory, circuits
Hilbert class field	Concept	Number theory
Section of a vector bundle	Concept	Algebraic topology
Wang sequence	Theorem	Algebraic topology
Invariant set	Concept	Ordinary differential equations
Koebe quarter theorem	Theorem	Functions of a complex variable
Borromean rings	Example	Manifolds and cell complexes
Tensor field	Concept	Differential geometry
Algebraic number field	Definition	Number theory
Euler's thirty-six officers problem	Problem	Combinatorics
Tangent bundle	Concept	Global analysis, analysis on manifolds