Every idea

Ideas 9601–9750 of 14183.

Name	Kind	Subject
Siggers term	Concept	General algebraic systems
Perverse sheaf	Definition	Several complex variables and analytic spaces
Favard's theorem on trigonometric approximation	Theorem	Approximations and expansions
Statistical inference	Concept	Statistics
Symmetric monoidal category	Definition	Category theory; homological algebra
Translation plane	Concept	Geometry
Statistical model	Definition	Statistics
Group extension	Definition	Group theory and generalizations
Fourier–Mukai transform	Definition	Algebraic geometry
Picard group	Definition	Algebraic geometry
Kontsevich quantization formula	Theorem	Differential geometry
Torsion tensor	Concept	Differential geometry
Torsion group	Concept	Group theory and generalizations
Existence of limits from products and equalizers	Theorem	Category theory; homological algebra
Dimension of the solution space of a linear recurrence	Theorem	Difference and functional equations
Distinguished boundary of a polydisc	Definition	Several complex variables and analytic spaces
Keller–Segel model	Concept	Partial differential equations
Hammersley–Clifford theorem	Theorem	Statistics
Product order	Concept	Order, lattices, ordered algebraic structures
Néron model	Concept	Algebraic geometry
Dirac bundle	Concept	Differential geometry
Autocorrelation function	Definition	Statistics
Complex geodesic	Definition	Several complex variables and analytic spaces
Advanced Z-transform	Concept	Integral transforms, operational calculus
Borel–Weil–Bott theorem	Theorem	Topological groups, Lie groups
Lie group	Definition	Topological groups, Lie groups
Local parametrization theorem	Theorem	Several complex variables and analytic spaces
Motive	Concept	Algebraic geometry
Category of topological spaces	Example	Category theory; homological algebra
Subanalytic set	Concept	Several complex variables and analytic spaces
Product category	Definition	Category theory; homological algebra
Calderón–Zygmund lemma	Lemma	Harmonic analysis on Euclidean spaces
Discrete-time algebraic Riccati equation	Concept	Linear and multilinear algebra; matrix theory
Spherical Bessel functions	Definition	Special functions
Baire function	Concept	Real functions
Struve function	Concept	Special functions
Stirling's series	Example	Special functions
Directed-complete partial order	Definition	Order, lattices, ordered algebraic structures
Strong amalgamation property	Definition	General algebraic systems
Fundamental solution	Concept	Partial differential equations
Order of a zero or pole	Definition	Functions of a complex variable
Order of a projective plane	Concept	Geometry
Sublinear function	Concept	Functional analysis
Frobenius norm	Definition	Linear and multilinear algebra; matrix theory
Statistical model	Concept	Statistics
Jacobi eigenvalue algorithm	Theorem	Numerical analysis
Percus–Yevick approximation	Example	Statistical mechanics, structure of matter
Van Wijngaarden transformation	Concept	Numerical analysis
Satisfiability	Definition	Mathematical logic and foundations
Berkovich space dynamics	Definition	Dynamical systems and ergodic theory
Higher-order logic	Definition	Mathematical logic and foundations
Hyperbolic knot	Concept	Manifolds and cell complexes
Ribbon Hopf algebra	Concept	Associative rings and algebras
Schröder's equation	Definition	Difference and functional equations
Dense order	Concept	Order, lattices, ordered algebraic structures
Field of extremals	Concept	Calculus of variations and optimal control; optimization
Bramble–Hilbert lemma	Lemma	Numerical analysis
Multidimensional transform	Definition	Integral transforms, operational calculus
Goldstine theorem	Theorem	Functional analysis
Calderón projector	Concept	Partial differential equations
Affine differential geometry	Concept	Differential geometry
Brauer–Fowler theorem	Theorem	Group theory and generalizations
Magma	Definition	Group theory and generalizations
Weak convergence of measures	Definition	Probability theory and stochastic processes
Dirichlet series as Mellin transforms	Concept	Number theory
Spectral theory	Concept	Operator theory
Total ring of fractions	Concept	Commutative algebra
Generalized linear model	Concept	Statistics
Strang splitting	Theorem	Numerical analysis
Value function	Concept	Calculus of variations and optimal control; optimization
Catenary ring	Definition	Commutative algebra
Linear recurrence with polynomial coefficients	Concept	Difference and functional equations
Reflection principle	Theorem	Probability theory and stochastic processes
Fixed-point iteration	Concept	Operator theory
Dehn function	Definition	Group theory and generalizations
Monomial order	Definition	Commutative algebra
Relatively free algebra	Definition	General algebraic systems
Navier–Stokes equations	Definition	Partial differential equations
Perfectoid space	Definition	Algebraic geometry
Rational equivalence	Concept	Algebraic geometry
Walsh–Hadamard transform	Concept	Harmonic analysis on Euclidean spaces
Equivalence of categories	Concept	Category theory; homological algebra
Set of uniqueness	Concept	Harmonic analysis on Euclidean spaces
Limit-point and limit-circle	Definition	Ordinary differential equations
Poincaré–Birkhoff theorem	Theorem	Dynamical systems and ergodic theory
Supporting hyperplane	Concept	Convex and discrete geometry
Wiman–Valiron theory	Definition	Functions of a complex variable
Credible interval	Definition	Statistics
de Rham theorem	Theorem	Global analysis, analysis on manifolds
Ricci curvature	Definition	Differential geometry
Seifert surface	Concept	Manifolds and cell complexes
Miquel's theorem	Theorem	Geometry
j-invariant	Definition	Number theory
Optimal transport and the Monge problem	Problem	Calculus of variations and optimal control; optimization
Homotopy category of chain complexes	Definition	Category theory; homological algebra
Sketch	Concept	Category theory; homological algebra
q-Pochhammer symbol	Definition	Combinatorics
Finitary operation	Definition	General algebraic systems
Cohomology operation	Concept	Algebraic topology
Pseudogroup	Definition	Global analysis, analysis on manifolds
Banach analytic space	Definition	Several complex variables and analytic spaces
Cumulant	Definition	Probability theory and stochastic processes
Fundamental class	Definition	Manifolds and cell complexes
Conformal modulus	Definition	Functions of a complex variable
Hypoelliptic operator	Concept	Partial differential equations
Fractional Helly theorem	Theorem	Convex and discrete geometry
Pick's theorem	Theorem	Convex and discrete geometry
Combinatorial species	Definition	Combinatorics
Heap	Definition	Group theory and generalizations
Profinite group	Concept	Group theory and generalizations
Palais–Smale compactness condition	Definition	Global analysis, analysis on manifolds
Random walk as a difference equation	Example	Difference and functional equations
Birational map	Concept	Algebraic geometry
Stochastic Volterra equation	Concept	Probability theory and stochastic processes
Pfaff and Euler transformations	Theorem	Special functions
Ordinal arithmetic	Concept	Mathematical logic and foundations
Additive functor	Concept	Category theory; homological algebra
Computational geometry	Concept	Computer science
Nagata–Smirnov metrization theorem	Theorem	General topology
Sheaf cohomology in topology	Concept	Algebraic topology
Existence and uniqueness of Haar measure	Theorem	Measure and integration
Completion of a ring	Concept	Commutative algebra
Hilbert C*-module	Concept	Functional analysis
Progenerator	Definition	Associative rings and algebras
Isoperimetric inequality	Theorem	Convex and discrete geometry
Homomorphism	Concept	General algebraic systems
Cartan–Brauer–Hua theorem	Theorem	Associative rings and algebras
Postnikov tower	Definition	Algebraic topology
Multivariate formal power series	Definition	Commutative algebra
Van Vleck's theorem	Theorem	Sequences, series, summability
Representable functor	Concept	Category theory; homological algebra
Sphere eversion	Theorem	Manifolds and cell complexes
Semialgebraic set	Definition	Algebraic geometry
VC dimension	Concept	Combinatorics
Lie groupoid	Definition	Topological groups, Lie groups
Contraction mapping principle for integral equations	Theorem	Integral equations
Intuitionistic type theory	Definition	Mathematical logic and foundations
Bergman's gap theorem	Theorem	Associative rings and algebras
Ridge regression	Definition	Statistics
Heat kernel	Concept	Partial differential equations
Approximation property	Definition	Functional analysis
Cubic surface	Example	Algebraic geometry
Density of trigonometric polynomials in continuous functions	Theorem	Harmonic analysis on Euclidean spaces
Jordan decomposition of a function of bounded variation	Theorem	Real functions
C* identity	Concept	Functional analysis
Isomonodromic deformation	Concept	Ordinary differential equations
Automatic differentiation	Definition	Numerical analysis
Padé table	Definition	Approximations and expansions
Periodogram	Definition	Statistics
Preconditioner	Concept	Numerical analysis