Every idea

Ideas 5101–5250 of 14183.

Name	Kind	Subject
Schreier–Sims algorithm	Definition	Computer science
Provability logic	Definition	Mathematical logic and foundations
Neumann problem	Problem	Potential theory
Schwarz integral formula	Theorem	Functions of a complex variable
Hecke algebra of a locally compact group	Definition	Topological groups, Lie groups
Subshift of finite type	Concept	Dynamical systems and ergodic theory
Perfect set	Concept	General topology
B-spline	Concept	Approximations and expansions
Strictly convex set	Concept	Convex and discrete geometry
Simple ring	Concept	Associative rings and algebras
Perron–Frobenius theorem	Theorem	Linear and multilinear algebra; matrix theory
Homotopy extension property	Definition	Algebraic topology
n-body problem	Problem	Mechanics of particles and systems
Pickands–Balkema–De Haan theorem	Theorem	Statistics
Locale	Definition	Order, lattices, ordered algebraic structures
Global field	Concept	Number theory
Principal series representation	Definition	Topological groups, Lie groups
Soliton	Concept	Partial differential equations
Square root of a matrix	Concept	Linear and multilinear algebra; matrix theory
Zeta function regularization	Definition	Number theory
Distributive property	Concept	General algebraic systems
Modular function	Concept	Topological groups, Lie groups
Kolmogorov epsilon-entropy	Concept	Approximations and expansions
Regular local ring	Concept	Commutative algebra
Finite measure	Concept	Measure and integration
Yamabe problem	Problem	Differential geometry
Paraproduct	Definition	Harmonic analysis on Euclidean spaces
Monogenic function	Concept	Functions of a complex variable
Invariant mean	Definition	Abstract harmonic analysis
Max-plus algebra	Concept	Linear and multilinear algebra; matrix theory
Khovanov homology	Definition	Manifolds and cell complexes
Schur–Zassenhaus theorem	Theorem	Group theory and generalizations
Validated numerics	Definition	Numerical analysis
Quasi-identity	Definition	General algebraic systems
Codimension of a singularity	Definition	Global analysis, analysis on manifolds
Complete theory	Concept	Mathematical logic and foundations
Sampling distribution	Concept	Statistics
Inverse semigroup	Definition	Group theory and generalizations
Duality in projective geometry	Definition	Geometry
Butcher tableau	Definition	Numerical analysis
Normed field	Definition	Field theory and polynomials
Gelfand–Levitan theory	Definition	Ordinary differential equations
Schanuel's conjecture	Conjecture	Number theory
Discrete-time Fourier transform	Definition	Harmonic analysis on Euclidean spaces
Adjunction space	Definition	General topology
Yang–Baxter equation	Concept	Associative rings and algebras
Cardinal characteristics of the continuum	Concept	Mathematical logic and foundations
Central polynomial	Concept	Associative rings and algebras
Euclidean distance matrix	Definition	Geometry
Algebraic torus	Concept	Group theory and generalizations
Energy functional on paths	Definition	Global analysis, analysis on manifolds
Many-valued logic	Definition	Mathematical logic and foundations
Reflexive operator algebra	Concept	Operator theory
Convex integrand	Definition	Calculus of variations and optimal control; optimization
Index theory	Concept	Global analysis, analysis on manifolds
Substructure	Concept	Mathematical logic and foundations
Cyclic homology	Concept	Associative rings and algebras
Iwasawa main conjecture	Theorem	Number theory
Andreotti–Grauert theorem	Theorem	Several complex variables and analytic spaces
Unisolvent point set	Definition	Approximations and expansions
Global attractor	Definition	Partial differential equations
Topos	Concept	Category theory; homological algebra
Projective tensor product	Concept	Functional analysis
Telescope conjecture	Counterexample	Algebraic topology
Jordan curve theorem	Theorem	Manifolds and cell complexes
One-relator group	Concept	Group theory and generalizations
Localization of a module	Concept	Commutative algebra
Lie bracket of vector fields	Concept	Global analysis, analysis on manifolds
Moore space	Concept	General topology
q-gamma function	Concept	Special functions
Retract	Concept	General algebraic systems
Skolem's paradox	Example	Mathematical logic and foundations
Null set	Definition	Measure and integration
Abel equation	Concept	Difference and functional equations
Automorphic form	Definition	Number theory
Gauss–Codazzi equations	Theorem	Differential geometry
Direct product of algebras	Definition	General algebraic systems
Dynkin system	Definition	Measure and integration
Wirtinger derivatives	Definition	Functions of a complex variable
Mori domain	Concept	Commutative algebra
Regular sequence	Concept	Commutative algebra
Legendre functions	Concept	Special functions
Ordinal sum of posets	Concept	Order, lattices, ordered algebraic structures
Self-injective ring	Definition	Associative rings and algebras
Free product of algebras	Definition	General algebraic systems
Koszul duality	Concept	Associative rings and algebras
Confluent hypergeometric function	Concept	Special functions
Simple random sample	Definition	Statistics
Directly indecomposable algebra	Concept	General algebraic systems
Birkhoff's axioms	Concept	Geometry
Oka's solution of the Levi problem	Theorem	Several complex variables and analytic spaces
Kripke semantics	Definition	Mathematical logic and foundations
Building	Concept	Group theory and generalizations
F-coalgebra	Concept	Category theory; homological algebra
Shannon wavelet	Example	Harmonic analysis on Euclidean spaces
Jordan algebra	Concept	Nonassociative rings and algebras
Frisch–Waugh–Lovell theorem	Theorem	Statistics
False discovery rate and the Benjamini–Hochberg procedure	Concept	Statistics
Cancellation property	Concept	General algebraic systems
Rogers polynomials	Definition	Special functions
Mapping cone	Concept	Category theory; homological algebra
Almost everywhere	Definition	Measure and integration
Rough path	Definition	Probability theory and stochastic processes
Right-angled Artin group	Concept	Group theory and generalizations
Term	Concept	Mathematical logic and foundations
Capacitability of Borel sets	Theorem	Measure and integration
Zak transform	Definition	Harmonic analysis on Euclidean spaces
Runge–Kutta–Fehlberg method	Proposition	Numerical analysis
Regular sequence	Definition	Commutative algebra
Homoclinic orbit	Concept	Ordinary differential equations
Runge's theorem	Theorem	Functions of a complex variable
Penny graph	Concept	Combinatorics
Five-term relation for the dilogarithm	Theorem	Special functions
Concrete category of algebras	Definition	General algebraic systems
Local asymptotic normality	Concept	Statistics
Ramanujan tau function	Concept	Number theory
Commutator theory	Concept	General algebraic systems
Polar polytope	Concept	Convex and discrete geometry
Semi-local ring	Concept	Commutative algebra
Linear PDE	Concept	Partial differential equations
Erdős–Rényi model	Concept	Combinatorics
Weierstrass–Erdmann corner conditions	Theorem	Calculus of variations and optimal control; optimization
Rearrangement inequality	Theorem	Real functions
Discrete Poisson equation	Concept	Difference and functional equations
Poisson boundary	Concept	Probability theory and stochastic processes
Chow's theorem	Theorem	Several complex variables and analytic spaces
Essentially surjective functor	Concept	Category theory; homological algebra
Final topology	Concept	General topology
Kähler–Einstein metric	Concept	Several complex variables and analytic spaces
Instrumental variables estimation	Concept	Statistics
Algebraic torus	Definition	Group theory and generalizations
Variety as a reflective subcategory	Proposition	General algebraic systems
Lévy–Steinitz theorem	Theorem	Sequences, series, summability
Fuchs' theorem	Theorem	Ordinary differential equations
Simplicial polytope	Definition	Convex and discrete geometry
Carlson's theorem	Theorem	Functions of a complex variable
Stationary set	Definition	Mathematical logic and foundations
Calkin algebra	Object	Functional analysis
Arc in a finite plane	Concept	Geometry
Catastrophe theory	Concept	Global analysis, analysis on manifolds
Quasi-isometry	Concept	Group theory and generalizations
Orthomodular lattice	Concept	Order, lattices, ordered algebraic structures
Isoperimetric problem of the calculus of variations	Problem	Calculus of variations and optimal control; optimization
Domain of holomorphy	Definition	Several complex variables and analytic spaces
Co-Heyting algebra	Concept	Order, lattices, ordered algebraic structures
Preissmann's theorem	Theorem	Differential geometry
Generic point	Definition	Algebraic geometry
Basu's theorem	Theorem	Statistics
Group algebra of a locally compact group	Concept	Topological groups, Lie groups
Cantor normal form	Theorem	Mathematical logic and foundations