Every idea

Ideas 12751–12900 of 14167.

Name	Kind	Subject
Properly discontinuous action	Definition	Manifolds and cell complexes
Wreath product	Concept	Group theory and generalizations
Harris inequality	Theorem	Probability theory and stochastic processes
Finitely generated algebra	Definition	General algebraic systems
Feynman–Kac formula	Theorem	Probability theory and stochastic processes
Serre's criterion for normality	Theorem	Commutative algebra
Hopkins–Levitzki theorem	Theorem	Associative rings and algebras
Intermittency	Concept	Dynamical systems and ergodic theory
Fine topology	Concept	Potential theory
Dunford–Pettis property	Definition	Functional analysis
Gelfand pair	Concept	Abstract harmonic analysis
Exceptional collection	Definition	Algebraic geometry
Consistency of summability methods	Concept	Sequences, series, summability
Hilbert–Schmidt operator	Concept	Operator theory
Dandelin spheres	Concept	Geometry
Robin constant	Concept	Potential theory
Riesz transform	Definition	Harmonic analysis on Euclidean spaces
Matrix norm	Definition	Linear and multilinear algebra; matrix theory
Fundamental theorem of affine geometry	Theorem	Geometry
Jacobi elliptic functions	Definition	Special functions
Elementary theory of the category of sets	Concept	Category theory; homological algebra
Proof of Lagrange's theorem	Proof	Group theory and generalizations
Coherent ring	Concept	Commutative algebra
Fixed point	Definition	Dynamical systems and ergodic theory
Class	Definition	Mathematical logic and foundations
Jakobson's theorem	Theorem	Dynamical systems and ergodic theory
Elliptic operator on a compact manifold	Definition	Global analysis, analysis on manifolds
Cellular homology	Concept	Algebraic topology
Schmidt's singular value decomposition of a kernel	Theorem	Integral equations
Monte Carlo method	Definition	Numerical analysis
Normal complex space	Definition	Several complex variables and analytic spaces
Split exact sequence	Definition	Category theory; homological algebra
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
Isospectral manifolds	Definition	Global analysis, analysis on manifolds
Zero-dimensional space	Definition	General topology
Natural duality	Concept	General algebraic systems
Cofibration	Concept	Algebraic topology
Submultiplicative function	Definition	Difference and functional equations
Existence of transcendence bases	Theorem	Field theory and polynomials
Five lemma	Lemma	Category theory; homological algebra
Euler summation	Definition	Sequences, series, summability
Homogeneous integral equation	Concept	Integral equations
Tennenbaum's theorem	Theorem	Mathematical logic and foundations
G-signature theorem	Theorem	Global analysis, analysis on manifolds
Kummer's equation	Definition	Special functions
Prüfer domain	Definition	Commutative algebra
Turing machine	Definition	Mathematical logic and foundations
Meromorphic function of several variables	Concept	Several complex variables and analytic spaces
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
Caccioppoli set	Concept	Calculus of variations and optimal control; optimization
Cerf theory	Concept	Manifolds and cell complexes
Kellogg–Evans theorem	Theorem	Potential theory
Chow group	Definition	Algebraic geometry
Legendre's equation	Example	Ordinary differential equations
Airfoil equation	Example	Integral equations
Sequent calculus	Concept	Mathematical logic and foundations
Dirichlet-to-Neumann operator	Concept	Partial differential equations
Neural network approximation	Concept	Approximations and expansions
Matrix function	Concept	Linear and multilinear algebra; matrix theory
Unary operation	Definition	General algebraic systems
Baum–Welch algorithm	Concept	Statistics
Eichler order	Concept	Number theory
MUSCL scheme	Concept	Numerical analysis
Stiefel manifold	Example	Algebraic topology
Sturm comparison theorem	Theorem	Ordinary differential equations
Limiting subdifferential	Concept	Calculus of variations and optimal control; optimization
Universal algebra	Concept	General algebraic systems
Finite lattice representation problem	Problem	Order, lattices, ordered algebraic structures
Tensor rank	Concept	Linear and multilinear algebra; matrix theory
Dehn twist	Concept	Manifolds and cell complexes
Linear extension	Concept	Order, lattices, ordered algebraic structures
False discovery rate and the Benjamini–Hochberg procedure	Definition	Statistics
Tension field	Concept	Global analysis, analysis on manifolds
Nemytskii operator	Concept	Operator theory
Lambert summation	Concept	Sequences, series, summability
Impossibility of the classical construction problems	Theorem	Field theory and polynomials
H-representation and V-representation	Concept	Convex and discrete geometry
Prime ideals of a localization	Proposition	Commutative algebra
Particle filter	Definition	Statistics
Sinai–Ruelle–Bowen measure	Definition	Dynamical systems and ergodic theory
Hypergeometric differential equation	Concept	Special functions
Weak derivative	Definition	Functional analysis
Tube lemma	Lemma	General topology
Term operation	Definition	General algebraic systems
Rees algebra	Concept	Commutative algebra
Frobenius method	Concept	Ordinary differential equations
Stein equation	Definition	Linear and multilinear algebra; matrix theory
Completely distributive lattice	Definition	Order, lattices, ordered algebraic structures
Hamiltonian vector field	Definition	Differential geometry
Enumerative geometry	Definition	Algebraic geometry
Besicovitch set of measure zero	Example	Measure and integration
Kaplan–Meier estimator	Definition	Statistics
Stopping time	Definition	Probability theory and stochastic processes
Nielsen–Schreier theorem	Theorem	Group theory and generalizations
Newton–Cotes formulas	Definition	Numerical analysis
Néron model	Definition	Algebraic geometry
Sets of capacity zero	Concept	Potential theory
End and coend	Concept	Category theory; homological algebra
Laplacian on the Sierpiński gasket	Example	Potential theory
Geometric graph	Definition	Combinatorics
Cantor space	Object	General topology
Kelvin transform	Concept	Potential theory
Sieve	Definition	Category theory; homological algebra
Reinhardt domain	Concept	Several complex variables and analytic spaces
Differential dynamic programming	Definition	Calculus of variations and optimal control; optimization
de Rham cohomology	Definition	Global analysis, analysis on manifolds
Fully faithful essentially surjective functor is an equivalence	Theorem	Category theory; homological algebra
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
Laguerre polynomials	Concept	Special functions
Many-sorted algebra	Concept	General algebraic systems
Kohn Laplacian	Definition	Several complex variables and analytic spaces
Random walk on a group	Concept	Probability theory and stochastic processes
Eilenberg–MacLane space	Definition	Algebraic topology
Range conditions for the Radon transform	Theorem	Integral transforms, operational calculus
Neyman construction	Definition	Statistics
Orlicz space	Concept	Functional analysis
Delzant's theorem on toric manifolds	Theorem	Differential geometry
Gamma function has no zeros	Theorem	Special functions
Hyperbolic conservation law	Definition	Partial differential equations
Commutator theory	Definition	General algebraic systems
Smooth manifold	Definition	Global analysis, analysis on manifolds
Wilf–Zeilberger pair	Concept	Special functions
Tits group	Object	Group theory and generalizations
Ternary operation	Concept	General algebraic systems
Penny graph	Definition	Combinatorics
Axiom of determinacy	Definition	Mathematical logic and foundations
Hyperelliptic curve	Definition	Algebraic geometry
Sparse approximation	Concept	Approximations and expansions
Nonlinear difference equation	Definition	Difference and functional equations
Invariant basis number	Definition	Associative rings and algebras
Wielandt's theorem	Theorem	Special functions
Complex multiplication	Definition	Number theory
Laplace transform method for the heat equation	Example	Integral transforms, operational calculus
Azumaya algebra	Definition	Associative rings and algebras
Weyl tensor	Definition	Differential geometry
Outer measure	Definition	Measure and integration
Indecomposable module	Definition	Associative rings and algebras
Extreme set	Concept	Convex and discrete geometry
Complex measure	Definition	Measure and integration