Every idea

Ideas 4801–4950 of 7806.

Name	Kind	Subject
Convergence to equilibrium of ergodic Markov chains	Theorem	Probability theory and stochastic processes
Series acceleration	Concept	Numerical analysis
Set-valued measure	Definition	Measure and integration
Monad in nonstandard topology	Definition	General topology
Fáry–Milnor theorem	Theorem	Differential geometry
Stochastic differential equation	Concept	Probability theory and stochastic processes
Sasakian manifold	Concept	Differential geometry
Szemerédi's theorem	Theorem	Number theory
Geometrization conjecture	Theorem	Manifolds and cell complexes
Catenary ring	Concept	Commutative algebra
Eulerian number	Definition	Combinatorics
Magnus's Freiheitssatz	Theorem	Group theory and generalizations
Differentially closed field	Definition	Field theory and polynomials
Bombieri–Vinogradov theorem	Theorem	Number theory
Symmetric derivative	Concept	Real functions
Stallings–Swan theorem	Theorem	Group theory and generalizations
Symplectic integrator	Concept	Numerical analysis
Riemannian distance	Concept	Differential geometry
Regular prime	Concept	Number theory
Lindelöf summation	Concept	Sequences, series, summability
Analytic function between Banach spaces	Definition	Functional analysis
Asymptotic expansion	Definition	Approximations and expansions
Carleman's inequality	Theorem	Real functions
Jacobian conjecture	Conjecture	Algebraic geometry
Homological mirror symmetry	Conjecture	Differential geometry
Symplectic manifold	Definition	Differential geometry
Consistency of summability methods	Definition	Sequences, series, summability
Presburger arithmetic	Example	Mathematical logic and foundations
QR algorithm	Concept	Numerical analysis
Locally convex space	Concept	Functional analysis
Density of simple functions in Lp	Proposition	Functional analysis
Dieudonné's theorem on paracompact Hausdorff spaces	Theorem	General topology
Double sequence	Concept	Sequences, series, summability
Multiplicity of a local ring	Definition	Commutative algebra
Splitting of prime ideals	Concept	Number theory
Integral extension	Concept	Commutative algebra
Lorentz space	Definition	Functional analysis
Valuation	Concept	Field theory and polynomials
Infinite compositions of functions	Concept	Sequences, series, summability
Chebyshev functions	Concept	Number theory
Numerical linear algebra	Concept	Numerical analysis
Möbius inversion on posets	Theorem	Order, lattices, ordered algebraic structures
Ravenel conjectures	Theorem	Algebraic topology
Kesten's theorem on planar bond percolation	Theorem	Probability theory and stochastic processes
Borel measure	Definition	Measure and integration
Vizing's theorem	Theorem	Combinatorics
Willmore energy	Definition	Differential geometry
Sidon set	Concept	Number theory
Lagrange inversion theorem	Theorem	Combinatorics
Ring spectrum	Concept	Algebraic topology
Cofinality	Concept	Mathematical logic and foundations
Hyperbolic Dehn surgery theorem	Theorem	Manifolds and cell complexes
Artin's conjecture on primitive roots	Conjecture	Number theory
Dynkin's π-λ theorem	Theorem	Measure and integration
Expander graph	Definition	Combinatorics
Rank of an abelian group	Definition	Group theory and generalizations
H-space	Definition	Algebraic topology
Densely defined operator	Concept	Operator theory
Varadhan's lemma	Lemma	Probability theory and stochastic processes
Lambda calculus	Concept	Mathematical logic and foundations
Azuma's inequality	Theorem	Probability theory and stochastic processes
Fréchet manifold	Definition	Global analysis, analysis on manifolds
Multiply transitive group action	Concept	Group theory and generalizations
Gaussian free field	Definition	Probability theory and stochastic processes
Weitzenböck identity	Theorem	Differential geometry
Whitney sum	Concept	Algebraic topology
Uniformly convex space	Concept	Functional analysis
Artin–Schreier theory	Definition	Field theory and polynomials
Class field theory	Concept	Number theory
Pólya's recurrence theorem	Theorem	Probability theory and stochastic processes
Brauer group	Concept	Associative rings and algebras
Type and cotype	Concept	Functional analysis
Projective module	Concept	Commutative algebra
Dehn–Lickorish theorem	Theorem	Manifolds and cell complexes
Fagin's theorem	Theorem	Mathematical logic and foundations
Regular chain	Definition	Commutative algebra
Deck transformation group	Concept	Manifolds and cell complexes
Caputo fractional derivative	Definition	Real functions
Symmetric spectrum	Definition	Algebraic topology
Percolation theory	Concept	Probability theory and stochastic processes
Cyclotomic field	Definition	Number theory
Outer measure	Concept	Measure and integration
Asymptotic expansion	Concept	Approximations and expansions
Vietoris topology	Concept	General topology
Floquet theory	Concept	Ordinary differential equations
Euler class	Concept	Manifolds and cell complexes
Tate–Shafarevich group	Concept	Number theory
Dynamic equation on time scales	Concept	Ordinary differential equations
The cosets of 3Z in the integers	Example	Group theory and generalizations
Proof that the order of an element divides the order of the group	Proof	Group theory and generalizations
Regular singular point	Definition	Ordinary differential equations
Algebra of bounded operators on a Hilbert space	Object	Operator theory
Galois theory	Definition	Field theory and polynomials
Spectrum of an operator	Concept	Operator theory
Submersion	Concept	Manifolds and cell complexes
Heyting algebra	Definition	Order, lattices, ordered algebraic structures
E8 manifold	Object	Manifolds and cell complexes
Hilbert–Samuel function	Concept	Commutative algebra
Braid group	Concept	Group theory and generalizations
Hyperbolic 3-manifold	Definition	Manifolds and cell complexes
Convergence in measure	Definition	Measure and integration
Matrix pencil	Definition	Linear and multilinear algebra; matrix theory
Dahlquist barriers	Theorem	Numerical analysis
Ramification group	Concept	Number theory
Term	Definition	Mathematical logic and foundations
Algebra of sets	Definition	Measure and integration
Blancmange curve	Example	Real functions
Extraspecial group	Definition	Group theory and generalizations
Embedding dimension	Definition	Commutative algebra
Strong Cesàro summability	Definition	Sequences, series, summability
Random walk on a group	Definition	Probability theory and stochastic processes
Bring radical	Definition	Field theory and polynomials
Von Neumann bicommutant theorem	Theorem	Functional analysis
Bring radical	Concept	Field theory and polynomials
Place (number field)	Concept	Number theory
p-adic number	Concept	Field theory and polynomials
Projective special linear group	Example	Group theory and generalizations
Soul theorem	Theorem	Differential geometry
Landau's constants	Definition	Functions of a complex variable
Implicit function theorem in Banach spaces	Theorem	Global analysis, analysis on manifolds
Totally positive matrix	Definition	Linear and multilinear algebra; matrix theory
First fundamental form	Definition	Differential geometry
Reduction modulo n is a homomorphism	Example	Group theory and generalizations
Euler product for multiplicative functions	Theorem	Number theory
Difference algebra	Definition	Field theory and polynomials
Ultraweak topology	Definition	Functional analysis
Melnikov method	Definition	Ordinary differential equations
Watson's lemma	Lemma	Approximations and expansions
Connected sum	Definition	Manifolds and cell complexes
Locally convex space	Definition	Functional analysis
Decreasing rearrangement	Concept	Functional analysis
Hardy's Tauberian theorem for Cesàro means	Theorem	Sequences, series, summability
Wiman–Valiron theory	Concept	Functions of a complex variable
Infinitely divisible distribution	Concept	Probability theory and stochastic processes
Linear multistep method	Concept	Numerical analysis
Gross–Zagier theorem	Theorem	Number theory
Bernoulli polynomials	Object	Number theory
Regular summability method	Definition	Sequences, series, summability
Lorentzian manifold	Concept	Differential geometry
Erdős–Kac theorem	Theorem	Number theory
Dominated convergence theorem	Theorem	Measure and integration
Grönwall area theorem	Theorem	Functions of a complex variable
Mordell's theorem	Theorem	Number theory
Rado's theorem	Theorem	Combinatorics
Figure-eight knot	Example	Manifolds and cell complexes
Vinogradov's theorem	Theorem	Number theory
Cobordism ring	Concept	Manifolds and cell complexes
Moment map	Definition	Differential geometry
Shanks transformation	Concept	Numerical analysis
Proof-theoretic ordinal	Definition	Mathematical logic and foundations