Every idea

Ideas 4801–4950 of 14183.

Name	Kind	Subject
Matroid rank	Definition	Combinatorics
Numerical diffusion	Concept	Numerical analysis
p-adic absolute value	Definition	Field theory and polynomials
Finite measure	Definition	Measure and integration
Inverse distance weighting	Definition	Numerical analysis
Fodor's lemma	Lemma	Mathematical logic and foundations
Well-founded order	Concept	Order, lattices, ordered algebraic structures
Modular curve	Definition	Number theory
Class number formula	Theorem	Number theory
Hochster–Roberts theorem	Theorem	Commutative algebra
Wright omega function	Concept	Special functions
Coset	Concept
Differential of a smooth map	Definition	Global analysis, analysis on manifolds
Indecomposable continuum	Concept	General topology
Measure space	Definition	Measure and integration
Empirical risk minimization	Concept	Computer science
Empirical Bayes method	Definition	Statistics
Coherent sheaf	Concept	Algebraic geometry
Modification of a complex space	Definition	Several complex variables and analytic spaces
h-cobordism theorem	Theorem	Manifolds and cell complexes
Lieb–Thirring inequality	Theorem	Partial differential equations
Similarity solution	Concept	Partial differential equations
Analytic geometry	Definition	Geometry
Giraud's theorem	Theorem	Category theory; homological algebra
Effective resistance	Definition	Potential theory
Continuous wavelet transform	Concept	Harmonic analysis on Euclidean spaces
Ordinal analysis	Definition	Mathematical logic and foundations
Fuchsian group	Definition	Group theory and generalizations
Robin boundary condition	Concept	Ordinary differential equations
Polish space	Concept	General topology
Dolbeault–Grothendieck lemma	Lemma	Several complex variables and analytic spaces
Trajectory optimization	Concept	Calculus of variations and optimal control; optimization
Griffiths transversality	Theorem	Several complex variables and analytic spaces
Neville's algorithm	Concept	Numerical analysis
Parallelohedron	Definition	Convex and discrete geometry
Expansive homeomorphism	Definition	Dynamical systems and ergodic theory
Order statistic	Concept	Statistics
Artin–Schreier theorem	Theorem	Field theory and polynomials
Almost periodic sequence	Definition	Difference and functional equations
Complex projective plane	Example	Geometry
Woodin cardinal	Definition	Mathematical logic and foundations
Potential operator of a Markov process	Concept	Probability theory and stochastic processes
Continuous kernel	Definition	Integral equations
Dynamical system	Definition	Dynamical systems and ergodic theory
Esakia space	Definition	Order, lattices, ordered algebraic structures
Kac's theorem	Theorem	Associative rings and algebras
Littlewood polynomial	Concept	Harmonic analysis on Euclidean spaces
Scheme	Concept	Algebraic geometry
Discrete-time dynamical system	Concept	Dynamical systems and ergodic theory
Extension and contraction of ideals	Concept	Commutative algebra
Killing vector field	Concept	Differential geometry
Adic space	Definition	Algebraic geometry
Microlocal analysis	Concept	Partial differential equations
First variation	Concept	Calculus of variations and optimal control; optimization
Hyperfunction	Definition	Functional analysis
Perron's irreducibility criterion	Theorem	Field theory and polynomials
Proper group action	Definition	General topology
Opposite category	Definition	Category theory; homological algebra
Parseval formula for the Mellin transform	Theorem	Integral transforms, operational calculus
FBI transform	Concept	Partial differential equations
Hartogs domain	Definition	Several complex variables and analytic spaces
Elliptic function	Definition	Special functions
Neutral differential equation	Concept	Ordinary differential equations
Stochastic Volterra equation	Definition	Probability theory and stochastic processes
Pixley term	Concept	General algebraic systems
Continuous geometry	Concept	Order, lattices, ordered algebraic structures
Hardy inequality in Sobolev spaces	Theorem	Real functions
Karhunen–Loève theorem	Theorem	Probability theory and stochastic processes
Regular variation	Definition	Real functions
Atiyah–Guillemin–Sternberg convexity theorem	Theorem	Differential geometry
Algebraic independence	Definition	Field theory and polynomials
Torsor	Concept	Algebraic geometry
Complex cobordism	Concept	Algebraic topology
Differential dynamic programming	Concept	Calculus of variations and optimal control; optimization
Pettis integral	Definition	Measure and integration
Minkowski–Weyl theorem	Theorem	Convex and discrete geometry
Strongly measurable function	Definition	Measure and integration
Ring with involution	Definition	Associative rings and algebras
Brown–McCoy radical	Definition	Associative rings and algebras
Determinant line bundle	Concept	Global analysis, analysis on manifolds
Seiberg–Witten invariants	Definition	Manifolds and cell complexes
Cross-polytope	Example	Convex and discrete geometry
Representation theory of SL2(R)	Example	Topological groups, Lie groups
Harmonic analysis on groups	Concept	Abstract harmonic analysis
Brieskorn manifold	Example	Several complex variables and analytic spaces
Wave equation	Concept	Partial differential equations
Uniformization theorem	Theorem	Functions of a complex variable
Saddle point of a Lagrangian	Concept	Operations research, mathematical programming
Zeros of holomorphic functions are not isolated	Proposition	Several complex variables and analytic spaces
Semiprime ring	Concept	Associative rings and algebras
Brent's method	Theorem	Numerical analysis
Real Hardy space H1	Definition	Harmonic analysis on Euclidean spaces
Totally unimodular matrix	Definition	Linear and multilinear algebra; matrix theory
Classification of second-order PDEs	Concept	Partial differential equations
Cartan's theorem A	Theorem	Several complex variables and analytic spaces
Grothendieck group	Concept	K-theory
Haagerup property	Concept	Topological groups, Lie groups
Quasi-projective variety	Definition	Algebraic geometry
Spectral density estimation	Definition	Statistics
Convolution integral equation	Definition	Integral equations
Hilbert polynomial	Definition	Commutative algebra
Z-transform	Concept	Integral transforms, operational calculus
Covariant derivative	Concept	Differential geometry
Integral extensions of fields	Proposition	Commutative algebra
Hypergeometric series	Definition	Special functions
Cartan–Iwasawa–Malcev theorem	Theorem	Topological groups, Lie groups
Totally positive matrix	Concept	Linear and multilinear algebra; matrix theory
Involution as solution of Babbage's equation	Example	Difference and functional equations
Algebraic K-theory	Concept	Associative rings and algebras
Lattice ideal	Concept	Order, lattices, ordered algebraic structures
Strichartz estimates in Lorentz space	Lemma	Partial differential equations
Extensive category	Concept	Category theory; homological algebra
Minkowski's second theorem	Theorem	Number theory
Wiener algebra	Concept	Harmonic analysis on Euclidean spaces
Lasker–Noether theorem	Theorem	Commutative algebra
Riemannian manifold	Definition	Differential geometry
Hyperconnected space	Definition	General topology
Central simple algebra	Concept	Associative rings and algebras
Weierstrass transform	Concept	Integral transforms, operational calculus
Cartan's coherence theorem for ideal sheaves	Theorem	Several complex variables and analytic spaces
Macdonald constant term conjecture	Theorem	Special functions
Nonlinear Schrödinger equation	Definition	Partial differential equations
Hecke algebra	Concept	Group theory and generalizations
Induced representation of a locally compact group	Definition	Topological groups, Lie groups
Spectral graph theory	Concept	Combinatorics
de Boor's algorithm	Concept	Numerical analysis
Glimm scheme	Definition	Partial differential equations
Accelerated failure time model	Definition	Statistics
Wedge sum	Concept	General topology
Borel subgroup	Concept	Group theory and generalizations
Sheaf of modules	Definition	Algebraic geometry
Finite Hilbert transform	Concept	Integral transforms, operational calculus
Riemann surface	Concept	Functions of a complex variable
Majorization	Concept	Real functions
Duhamel's integral	Theorem	Ordinary differential equations
Stable homotopy theory	Definition	Algebraic topology
Satellite knot	Definition	Manifolds and cell complexes
Mergelyan's theorem	Theorem	Functions of a complex variable
Idele class group	Definition	Number theory
Bromwich integral	Concept	Integral transforms, operational calculus
Brauer's height zero conjecture	Conjecture	Group theory and generalizations
Essential extension	Concept	General algebraic systems
Fractional iteration	Concept	Difference and functional equations
Julia set	Concept	Dynamical systems and ergodic theory
Flat morphism	Concept	Algebraic geometry
Discrete subgroup	Concept	Topological groups, Lie groups
Itô isometry	Theorem	Probability theory and stochastic processes
Naive set theory	Definition	Mathematical logic and foundations
Weak dimension	Concept	Associative rings and algebras
Heegaard splitting	Definition	Manifolds and cell complexes