Every idea

Ideas 11101–11250 of 14183.

Name	Kind	Subject
Korovkin's theorem	Theorem	Approximations and expansions
Polygon triangulation	Concept	Computer science
Vanishing moments of a wavelet	Definition	Harmonic analysis on Euclidean spaces
Young tableau	Concept	Combinatorics
Cartesian closed category	Definition	Category theory; homological algebra
Equational logic	Definition	General algebraic systems
Hermitian metric on a vector bundle	Concept	Several complex variables and analytic spaces
Compactification	Concept	General topology
Large deviations theory	Concept	Probability theory and stochastic processes
Spectral mapping theorem for polynomials	Theorem	Functional analysis
Completeness in order theory	Concept	Order, lattices, ordered algebraic structures
Polynomial greatest common divisor	Concept	Commutative algebra
Modular lattice	Definition	Order, lattices, ordered algebraic structures
Surgery exact sequence	Theorem	Manifolds and cell complexes
Denjoy theorem on rotation number	Theorem	Dynamical systems and ergodic theory
Biorthogonal wavelet	Concept	Harmonic analysis on Euclidean spaces
Lagrange multipliers on Banach spaces	Theorem	Calculus of variations and optimal control; optimization
Suspension	Concept	Algebraic topology
Feigenbaum–Cvitanović functional equation	Concept	Dynamical systems and ergodic theory
Polynomial identity ring	Definition	Associative rings and algebras
Lévy–Khintchine representation	Theorem	Probability theory and stochastic processes
Sentence	Definition	Mathematical logic and foundations
Snake lemma	Lemma	Category theory; homological algebra
Minimal model program	Concept	Algebraic geometry
Bicubic interpolation	Definition	Numerical analysis
Carathéodory's extension theorem	Theorem	Measure and integration
Mutually singular measures	Definition	Measure and integration
Banach–Stone theorem	Theorem	Functional analysis
Bloch–Wigner function	Concept	Special functions
Elastic net	Definition	Statistics
Gödel's consistency of CH and AC	Theorem	Mathematical logic and foundations
Near-ring	Definition	Associative rings and algebras
Strong amalgamation property	Concept	General algebraic systems
Kempner series	Example	Sequences, series, summability
Periodicity equation	Definition	Difference and functional equations
Germ of an analytic set	Concept	Several complex variables and analytic spaces
Coifman–Rochberg–Weiss commutator theorem	Theorem	Harmonic analysis on Euclidean spaces
Bialgebra	Concept	Associative rings and algebras
Quantum invariant of 3-manifolds	Definition	Manifolds and cell complexes
Order (ring theory)	Definition	Associative rings and algebras
Morse theory on Hilbert manifolds	Definition	Global analysis, analysis on manifolds
Perfectoid space	Concept	Algebraic geometry
Geometric algebra	Definition	Linear and multilinear algebra; matrix theory
Alexandrov space	Definition	Differential geometry
Holomorphic line bundle	Concept	Several complex variables and analytic spaces
Rubio de Francia extrapolation theorem	Theorem	Harmonic analysis on Euclidean spaces
Tor functor	Definition	Commutative algebra
Riesz mean	Definition	Sequences, series, summability
Congruence-modular variety	Concept	General algebraic systems
Lusternik–Schnirelmann theory of critical points	Concept	Global analysis, analysis on manifolds
Weierstrass zeta and sigma functions	Concept	Special functions
Murray–von Neumann classification of factors	Theorem	Functional analysis
Permuting congruences	Definition	General algebraic systems
Mixed volume	Concept	Convex and discrete geometry
Krylov subspace	Concept	Numerical analysis
Hahn–Banach theorem	Theorem	Functional analysis
Simple function	Definition	Measure and integration
Free object	Concept	Category theory; homological algebra
Finitely generated variety	Definition	General algebraic systems
Siciak extremal function	Concept	Several complex variables and analytic spaces
Double complex	Definition	Category theory; homological algebra
Stability of Volterra equations	Definition	Integral equations
HOMFLY polynomial	Concept	Manifolds and cell complexes
Annihilator method	Definition	Ordinary differential equations
Boundary layer	Definition	Ordinary differential equations
Hilbertian field	Definition	Field theory and polynomials
Dixon's identity	Theorem	Special functions
Banach–Mazur theorem	Theorem	Functional analysis
Lindenbaum–Tarski algebra	Concept	Mathematical logic and foundations
Separably generated extension	Definition	Field theory and polynomials
Hopf–Rinow theorem	Theorem	Differential geometry
Kuratowski's closure-complement problem	Problem	General topology
Injective hull	Concept	Commutative algebra
Generic smoothness	Theorem	Algebraic geometry
Martin boundary	Concept	Potential theory
Integral transforms of tempered distributions	Concept	Functional analysis
Lidskii's theorem	Theorem	Operator theory
Preservation of limits	Definition	Category theory; homological algebra
Topological index	Concept	Global analysis, analysis on manifolds
Standard probability space	Concept	Measure and integration
Frobenius theorem on real division algebras	Theorem	Associative rings and algebras
Ring of sets	Definition	Measure and integration
Voronoi diagram	Concept	Convex and discrete geometry
Hammerstein integral equation	Definition	Integral equations
Structure theorem for compactly generated LCA groups	Theorem	Topological groups, Lie groups
Van der Corput lemma	Lemma	Harmonic analysis on Euclidean spaces
Green's identities	Theorem	Potential theory
Allard regularity theorem	Theorem	Calculus of variations and optimal control; optimization
Finite difference coefficients	Definition	Numerical analysis
Scaling rule for the Laplace transform	Proposition	Integral transforms, operational calculus
Least harmonic majorant	Definition	Potential theory
Taylor term	Concept	General algebraic systems
Horvitz–Thompson estimator	Concept	Statistics
Narasimhan lemma	Lemma	Several complex variables and analytic spaces
Lommel function	Definition	Special functions
Reductive Lie group	Definition	Topological groups, Lie groups
Operator theory	Definition	Operator theory
Ahlfors theory	Definition	Functions of a complex variable
Rademacher's theorem	Theorem	Real functions
Vanishing cycle	Definition	Several complex variables and analytic spaces
Double-negation translation	Definition	Mathematical logic and foundations
Blakers–Massey theorem	Theorem	Algebraic topology
Goldie ring	Concept	Associative rings and algebras
Graph minor	Definition	Combinatorics
Endomorphism monoid	Concept	General algebraic systems
Bohr–Mollerup theorem	Theorem	Special functions
Spectral method	Definition	Numerical analysis
Poles of the gamma function	Theorem	Special functions
Signorini problem	Problem	Mechanics of deformable solids
Dual cone	Concept	Convex and discrete geometry
Legendre polynomials	Concept	Special functions
Radical of a module	Concept	Associative rings and algebras
Path space fibration	Definition	Algebraic topology
Algebra over a monad	Concept	Category theory; homological algebra
Parabolic cylinder function	Definition	Special functions
G2 manifold	Definition	Differential geometry
Convergence along an ultrafilter	Concept	General topology
Appell series	Concept	Special functions
Vanishing mean oscillation	Concept	Harmonic analysis on Euclidean spaces
Linear algebraic group	Definition	Group theory and generalizations
Monoidal functor	Definition	Category theory; homological algebra
Hankel transform of radial functions in the plane	Example	Integral transforms, operational calculus
Generic filter	Definition	Mathematical logic and foundations
Tannaka–Krein duality	Theorem	Topological groups, Lie groups
Ehrhart polynomial	Definition	Convex and discrete geometry
Singular point of an algebraic variety	Definition	Algebraic geometry
Analytic capacity	Concept	Functions of a complex variable
Lagrange interpolation	Definition	Approximations and expansions
Leray–Schauder method	Concept	Operator theory
Elliptic geometry	Definition	Geometry
Picard group of a ring	Definition	Commutative algebra
Levitzki's theorem	Theorem	Associative rings and algebras
Schnirelmann density	Concept	Number theory
Borsuk–Ulam theorem	Theorem	Algebraic topology
Inverse distance weighting	Concept	Numerical analysis
Beta function	Concept	Special functions
Steiner system	Definition	Combinatorics
Rogers' bound	Theorem	Convex and discrete geometry
Hurwitz quaternions	Object	Number theory
Overdetermined system	Concept	Linear and multilinear algebra; matrix theory
Spectrum of a ring	Definition	Algebraic geometry
Algebraic structure	Concept	General algebraic systems
Muckenhoupt weights	Definition	Harmonic analysis on Euclidean spaces
Left-orderable group	Definition	Group theory and generalizations
Gysin sequence	Theorem	Algebraic topology
First main theorem of Nevanlinna theory	Theorem	Functions of a complex variable
Bounded mean oscillation	Concept	Functions of a complex variable
Randomization	Definition	Statistics
Liouville's theorem for harmonic functions	Theorem	Potential theory
Ordinary point and singular point	Concept	Ordinary differential equations