Every idea

Ideas 4651–4800 of 14183.

Name	Kind	Subject
Signature operator	Concept	Global analysis, analysis on manifolds
Integro-differential equation	Definition	Integral equations
Area-minimizing current	Concept	Calculus of variations and optimal control; optimization
Group ring	Concept	Associative rings and algebras
Eigenfunction of an integral operator	Concept	Integral equations
Nerve of a cover	Concept	Algebraic topology
Borel hierarchy	Concept	Mathematical logic and foundations
Packing density	Concept	Convex and discrete geometry
Ext functor	Concept	Commutative algebra
Smoothing by convolution	Proposition	Integral transforms, operational calculus
Sequential probability ratio test	Definition	Statistics
Strichartz estimate	Theorem	Partial differential equations
Zaremba's punctured ball	Counterexample	Potential theory
Importance sampling	Theorem	Numerical analysis
Multidimensional transform	Concept	Integral transforms, operational calculus
Wavelet	Concept	Harmonic analysis on Euclidean spaces
S-finite measure	Definition	Measure and integration
Weak homotopy equivalence	Concept	Algebraic topology
Percolation theory	Definition	Probability theory and stochastic processes
Axiom of constructibility	Concept	Mathematical logic and foundations
Factor analysis	Concept	Statistics
Bornological space	Concept	Functional analysis
Weak and strong extremum	Definition	Calculus of variations and optimal control; optimization
Exponential map of a Lie group	Definition	Topological groups, Lie groups
Laguerre polynomials	Definition	Special functions
F-algebra	Concept	Category theory; homological algebra
Hankel functions	Definition	Special functions
Stein factorization	Theorem	Algebraic geometry
Steiner quasigroup	Example	Group theory and generalizations
Biproduct	Definition	Category theory; homological algebra
Buchberger's algorithm	Concept	Commutative algebra
Power of a test	Concept	Statistics
Fiber bundle	Definition	Algebraic topology
Eckmann–Hilton duality	Definition	Algebraic topology
Minkowski content	Definition	Measure and integration
Harish-Chandra embedding	Theorem	Several complex variables and analytic spaces
Perfect set	Definition	General topology
Conformal geometric algebra	Concept	Linear and multilinear algebra; matrix theory
Oppenheim conjecture	Theorem	Number theory
Essential submodule	Definition	Associative rings and algebras
Maschke's theorem	Theorem	Group theory and generalizations
The integers modulo the even integers	Example	Group theory and generalizations
Global attractor	Concept	Partial differential equations
Almost convergence	Definition	Sequences, series, summability
Jones polynomial	Concept	Manifolds and cell complexes
Recurrent point	Concept	Dynamical systems and ergodic theory
Nilpotency class	Concept	Group theory and generalizations
Portmanteau theorem	Theorem	Probability theory and stochastic processes
Spheroidal wave function	Definition	Special functions
Quadrature rule	Definition	Numerical analysis
Mumford–Shah functional	Example	Calculus of variations and optimal control; optimization
Sobol sequence	Object	Number theory
Nef line bundle	Definition	Algebraic geometry
Limit point compact space	Definition	General topology
Kardar–Parisi–Zhang equation	Definition	Probability theory and stochastic processes
Loewner order	Definition	Linear and multilinear algebra; matrix theory
Coplanarity	Concept	Geometry
Feldman–Hájek theorem	Theorem	Measure and integration
Limit set	Definition	Dynamical systems and ergodic theory
Fractional calculus	Definition	Real functions
Field of rational functions	Concept	Field theory and polynomials
Characteristic value of a kernel	Definition	Integral equations
Dirichlet eigenvalue	Concept	Partial differential equations
Rack and quandle	Definition	Manifolds and cell complexes
Grünwald–Letnikov derivative	Definition	Real functions
Birational geometry	Definition	Algebraic geometry
Nevanlinna–Pick interpolation	Theorem	Functions of a complex variable
Markov partition	Concept	Dynamical systems and ergodic theory
Particular point topology	Example	General topology
Fredholm series for the resolvent	Theorem	Integral equations
Buekenhout geometry	Concept	Geometry
Approximate derivative	Concept	Real functions
Log-normal distribution	Example	Probability theory and stochastic processes
Pi-system	Concept	Measure and integration
Lichnerowicz formula	Theorem	Differential geometry
Matroid minor	Concept	Combinatorics
Dehn–Sommerville equations	Theorem	Convex and discrete geometry
Tate algebra	Definition	Several complex variables and analytic spaces
Graded poset	Definition	Order, lattices, ordered algebraic structures
Kuranishi structure	Concept	Differential geometry
Harmonic at a point	Definition	Potential theory
Céa's lemma	Lemma	Numerical analysis
Stieltjes function	Definition	Real functions
Nonexpansive map	Definition	Operator theory
Weak operator topology	Concept	Operator theory
Cayley–Abels graph	Definition	Topological groups, Lie groups
Bohr compactification	Definition	Topological groups, Lie groups
Finite model theory	Concept	Mathematical logic and foundations
Poincaré–Hopf theorem	Theorem	Manifolds and cell complexes
Arithmetic group	Concept	Group theory and generalizations
Darboux integral	Definition	Real functions
Association scheme	Definition	Combinatorics
Approximately finite-dimensional C*-algebra	Concept	Functional analysis
Descriptive geometry	Concept	Geometry
Iwasawa decomposition of a Lie group	Theorem	Topological groups, Lie groups
Chu–Vandermonde identity	Theorem	Special functions
Universal property of the free magma	Proposition	General algebraic systems
Starred transform	Concept	Integral transforms, operational calculus
Subvariety	Concept	General algebraic systems
Capacity of a set	Concept	Potential theory
Modular lambda function	Object	Number theory
Ore localization	Definition	Associative rings and algebras
Monotone likelihood ratio	Concept	Statistics
Newtonian potential	Definition	Potential theory
Affine differential geometry	Definition	Differential geometry
Benedicks' theorem	Theorem	Harmonic analysis on Euclidean spaces
Holomorphic function of several variables	Concept	Several complex variables and analytic spaces
Birkhoff's HSP theorem	Theorem	General algebraic systems
Paris–Harrington theorem	Theorem	Mathematical logic and foundations
Partial algebra	Definition	General algebraic systems
Linear difference equation	Definition	Difference and functional equations
Volterra integro-differential equation	Concept	Integral equations
Thom space	Definition	Algebraic topology
Loewner differential equation	Concept	Functions of a complex variable
Rademacher functions	Concept	Harmonic analysis on Euclidean spaces
Legendre integral transform	Concept	Integral transforms, operational calculus
Birational geometry	Concept	Algebraic geometry
Selberg sieve	Concept	Number theory
Fredholm integral equation	Concept	Integral equations
Unisolvent point set	Concept	Approximations and expansions
Schauder basis	Concept	Functional analysis
Koenigs function	Concept	Functions of a complex variable
Hermitian symmetric space	Definition	Several complex variables and analytic spaces
Brownian bridge	Definition	Probability theory and stochastic processes
Analytic set	Definition	Mathematical logic and foundations
Hermite functions	Concept	Special functions
Intuitionistic logic	Definition	Mathematical logic and foundations
Stirling's formula for the gamma function	Theorem	Special functions
First Cousin problem	Problem	Several complex variables and analytic spaces
Lax–Friedrichs method	Definition	Numerical analysis
Shimura variety	Definition	Algebraic geometry
Inertial manifold	Definition	Dynamical systems and ergodic theory
Bochner's classification of orthogonal polynomial eigenfunctions	Theorem	Special functions
Weierstrass product for the gamma function	Theorem	Special functions
Kleisli category	Definition	Category theory; homological algebra
Orthocentric system	Definition	Geometry
Consistency of the maximum likelihood estimator	Theorem	Statistics
Stable homotopy theory	Concept	Algebraic topology
Saturation of approximation methods	Definition	Approximations and expansions
Compact group	Definition	Topological groups, Lie groups
Halton sequence	Object	Number theory
Monodromy theorem	Theorem	Functions of a complex variable
Matrix norm	Concept	Linear and multilinear algebra; matrix theory
Geodesic curvature	Concept	Differential geometry
Wiener process	Definition	Probability theory and stochastic processes
The special linear group is the kernel of the determinant	Example	Group theory and generalizations
Measure-preserving transformation	Concept	Measure and integration
Numerical methods for ordinary differential equations	Concept	Numerical analysis
Godunov's theorem	Theorem	Numerical analysis
Rational surface	Concept	Algebraic geometry