Every idea

Ideas 5251–5400 of 14183.

Name	Kind	Subject
Legendre integral transform	Definition	Integral transforms, operational calculus
Category of rings	Example	Associative rings and algebras
QR algorithm	Definition	Numerical analysis
Schubert calculus	Definition	Algebraic geometry
Hahn–Banach separation theorem	Theorem	Functional analysis
Dolbeault cohomology	Definition	Several complex variables and analytic spaces
Harmonic majorant	Definition	Potential theory
Inverse scattering transform	Concept	Dynamical systems and ergodic theory
Riemann's differential equation	Definition	Special functions
Littlewood–Paley inequality	Theorem	Harmonic analysis on Euclidean spaces
Prandtl's lifting-line equation	Example	Fluid mechanics
Hecke algebra of a locally compact group	Concept	Topological groups, Lie groups
Thom spectrum	Concept	Algebraic topology
Frame	Definition	Order, lattices, ordered algebraic structures
Quantum dilogarithm	Concept	Special functions
Hilbert space adjoint	Concept	Operator theory
Bump function	Definition	Real functions
Product sigma-algebra	Concept	Measure and integration
Complete set of orthogonal idempotents	Definition	Associative rings and algebras
Circle map	Definition	Dynamical systems and ergodic theory
Schur complement	Concept	Linear and multilinear algebra; matrix theory
Blocking set	Definition	Geometry
Bergman projection	Concept	Several complex variables and analytic spaces
Two-sided Laplace transform	Concept	Integral transforms, operational calculus
Klein bottle	Example	Manifolds and cell complexes
Period-doubling cascade	Concept	Dynamical systems and ergodic theory
Limit-point and limit-circle	Concept	Ordinary differential equations
Local cohomology	Concept	Commutative algebra
Semiconjugacy and factor map	Definition	Dynamical systems and ergodic theory
Hamilton–Jacobi theory of the calculus of variations	Concept	Calculus of variations and optimal control; optimization
Representation theory of the symmetric group	Definition	Group theory and generalizations
Superalgebra	Concept	Nonassociative rings and algebras
Evans potential theorem	Theorem	Potential theory
Chattering control	Concept	Calculus of variations and optimal control; optimization
Stochastic optimal control	Definition	Systems theory; control
Bargmann transform	Definition	Integral transforms, operational calculus
Sheffer function	Definition	General algebraic systems
Charlier polynomials	Concept	Special functions
Stone space	Definition	Order, lattices, ordered algebraic structures
Vanishing mean oscillation	Definition	Harmonic analysis on Euclidean spaces
Successive over-relaxation	Theorem	Numerical analysis
Natural deduction	Concept	Mathematical logic and foundations
Almgren–Pitts min-max theory	Concept	Global analysis, analysis on manifolds
Bass–Serre theory	Concept	Group theory and generalizations
Submartingale	Concept	Probability theory and stochastic processes
Homogeneity equation	Definition	Difference and functional equations
Jacobson topology	Definition	Associative rings and algebras
Triangulation of a point set	Definition	Convex and discrete geometry
Butcher group	Object	Numerical analysis
Homotopy type	Definition	Algebraic topology
Adaptive step size	Concept	Numerical analysis
Spectral decomposition theorem	Theorem	Dynamical systems and ergodic theory
Chain recurrence	Concept	Dynamical systems and ergodic theory
Factor congruence	Concept	General algebraic systems
Witt vectors	Concept	Commutative algebra
Singular cohomology	Concept	Algebraic topology
Incompressible surface	Concept	Manifolds and cell complexes
Catenoid	Example	Differential geometry
Whitehead theorem	Theorem	Algebraic topology
Discontinuous Galerkin method	Concept	Numerical analysis
Amenable Banach algebra	Concept	Functional analysis
Differential of a smooth map	Concept	Global analysis, analysis on manifolds
Torsion submodule	Concept	Commutative algebra
Collatz conjecture	Conjecture	Number theory
Lie bracket of vector fields	Definition	Global analysis, analysis on manifolds
Kakeya set	Object	Measure and integration
Banach bundle	Definition	Global analysis, analysis on manifolds
Stein's lemma	Lemma	Statistics
Lefschetz number	Definition	Algebraic topology
d'Alembert's functional equation	Concept	Difference and functional equations
Reduction of a boundary value problem to a Fredholm equation	Proposition	Integral equations
Induced representation of a locally compact group	Concept	Topological groups, Lie groups
Population balance equation	Example	Integral equations
Monoid ring	Definition	Associative rings and algebras
Aleph number	Concept	Mathematical logic and foundations
HOMFLY polynomial	Definition	Manifolds and cell complexes
Jensen's functional equation	Concept	Difference and functional equations
Finite Desarguesian planes are Pappian	Corollary	Geometry
Constructive function theory	Definition	Approximations and expansions
Dual matroid	Concept	Combinatorics
Veblen function	Definition	Mathematical logic and foundations
Double bubble theorem	Theorem	Calculus of variations and optimal control; optimization
Variational inequality	Problem	Operator theory
Holomorphic automorphisms of C^n	Definition	Several complex variables and analytic spaces
Axiom of regularity	Definition	Mathematical logic and foundations
Mahler's compactness theorem	Theorem	Number theory
Mal'cev condition	Concept	General algebraic systems
Hardy spaces of harmonic functions	Concept	Potential theory
Ring spectrum	Definition	Algebraic topology
Mutual energy	Definition	Potential theory
Birkhoff's representation theorem	Theorem	Order, lattices, ordered algebraic structures
Fukaya category	Definition	Differential geometry
Linear topology	Concept	Commutative algebra
Atom	Definition	Order, lattices, ordered algebraic structures
Berkovich space dynamics	Concept	Dynamical systems and ergodic theory
Immersion	Concept	Manifolds and cell complexes
Kummer theory	Definition	Number theory
Hopfian group	Definition	Group theory and generalizations
Gagliardo–Nirenberg interpolation inequality	Theorem	Functional analysis
Einstein manifold	Definition	Differential geometry
Rigged Hilbert space	Concept	Functional analysis
Fundamental group of the circle	Theorem	Algebraic topology
Descending chain condition	Concept	Order, lattices, ordered algebraic structures
Algebraic K-theory	Definition	Associative rings and algebras
Triangulability of analytic sets	Theorem	Several complex variables and analytic spaces
Bertrand's test	Theorem	Sequences, series, summability
Projective dimension	Definition	Commutative algebra
Constructible universe	Object	Mathematical logic and foundations
Krylov–Bogolyubov averaging	Concept	Ordinary differential equations
Newtonian kernel	Concept	Potential theory
Homology manifold	Concept	Manifolds and cell complexes
Variogram	Definition	Statistics
Young measure	Concept	Calculus of variations and optimal control; optimization
Modica–Mortola theorem	Theorem	Calculus of variations and optimal control; optimization
Dynamical Mordell–Lang conjecture	Conjecture	Dynamical systems and ergodic theory
Fourier transform	Definition	Harmonic analysis on Euclidean spaces
Ideal of an algebraic set	Definition	Algebraic geometry
Kobayashi hyperbolic manifold	Definition	Several complex variables and analytic spaces
Robbins–Monro algorithm	Definition	Statistics
Compressed sensing	Concept	Information and communication theory, circuits
Sheaf of differentials	Concept	Algebraic geometry
Cesàro summation	Definition	Sequences, series, summability
Peter–Weyl theorem	Theorem	Topological groups, Lie groups
Convex cone	Concept	Convex and discrete geometry
Embedding theorem for Stein manifolds	Theorem	Several complex variables and analytic spaces
Pseudo-Riemannian manifold	Definition	Differential geometry
The left cosets of a subgroup of order two in S3	Example	Group theory and generalizations
Kolmogorov's weak-type estimate for the conjugate function	Theorem	Harmonic analysis on Euclidean spaces
Feit–Thompson theorem	Theorem	Group theory and generalizations
Caputo fractional derivative	Concept	Real functions
Mutual energy	Concept	Potential theory
Ring of invariants	Concept	Commutative algebra
Markov random field	Concept	Statistics
Method of fundamental solutions	Concept	Numerical analysis
Genus of a curve	Concept	Algebraic geometry
Theta correspondence	Definition	Number theory
Holomorphic dynamics in several variables	Concept	Dynamical systems and ergodic theory
Gamma function as Mellin transform of the exponential	Example	Integral transforms, operational calculus
Determinantal variety	Concept	Algebraic geometry
Contiguity of measures	Definition	Statistics
Klein quadric	Object	Geometry
Kähler–Einstein metric	Definition	Several complex variables and analytic spaces
Exotic sphere	Object	Manifolds and cell complexes
Fundamental recurrence formulas	Theorem	Sequences, series, summability
Analyticity of the Laplace transform in its half-plane	Theorem	Integral transforms, operational calculus
Wynn's epsilon algorithm	Concept	Numerical analysis
Invariance of domain	Theorem	Algebraic topology
Abel–Poisson summation of Fourier series	Definition	Harmonic analysis on Euclidean spaces
Hadamard conjecture	Conjecture	Combinatorics
Normal closure	Concept	Field theory and polynomials