Every idea

Ideas 6751–6900 of 14183.

Name	Kind	Subject
Tensor field	Definition	Differential geometry
Kuranishi family	Definition	Several complex variables and analytic spaces
Long exact sequence of a pair	Theorem	Algebraic topology
Ultraproduct	Concept	Mathematical logic and foundations
1/3–2/3 conjecture	Conjecture	Order, lattices, ordered algebraic structures
Modulus of continuity	Concept	Real functions
Stereographic projection	Concept	Functions of a complex variable
Stiff equation	Definition	Numerical analysis
Polygon	Definition	Geometry
Hopf invariant	Definition	Algebraic topology
Fisher's equation	Concept	Partial differential equations
Schur orthogonality relations	Theorem	Group theory and generalizations
Proof that the kernel is a normal subgroup	Proof	Group theory and generalizations
Klein–Gordon equation	Concept	Partial differential equations
Fischer groups	Object	Group theory and generalizations
Dispersive partial differential equation	Concept	Partial differential equations
Essentially surjective functor	Definition	Category theory; homological algebra
Cut-elimination theorem	Theorem	Mathematical logic and foundations
Logistic regression	Definition	Statistics
Iterated function	Concept	Dynamical systems and ergodic theory
Linear integral equation	Concept	Integral equations
Painlevé transcendents	Concept	Special functions
Carathéodory's theorem on boundary extension	Theorem	Functions of a complex variable
Difference quotient	Concept	Real functions
Lens space	Example	Manifolds and cell complexes
Order embedding	Definition	Order, lattices, ordered algebraic structures
Ebin's slice theorem	Theorem	Global analysis, analysis on manifolds
Lifting property	Concept	Category theory; homological algebra
Smoothness and analyticity of harmonic functions	Theorem	Potential theory
Ergodic transformation	Concept	Dynamical systems and ergodic theory
Green's function and the Riemann map	Proposition	Potential theory
Support of a module	Definition	Commutative algebra
Sobolev inequality	Theorem	Functional analysis
Hecke algebra	Definition	Group theory and generalizations
Restricted isometry property	Concept	Information and communication theory, circuits
Cobweb plot	Concept	Dynamical systems and ergodic theory
Bounded poset	Concept	Order, lattices, ordered algebraic structures
Day terms	Concept	General algebraic systems
Elementary theory of the category of sets	Definition	Category theory; homological algebra
Convergence to equilibrium of ergodic Markov chains	Theorem	Probability theory and stochastic processes
Autoregressive–moving-average model	Concept	Statistics
Kurosh problem	Problem	Associative rings and algebras
Series acceleration	Concept	Numerical analysis
Infinitesimal stability	Definition	Global analysis, analysis on manifolds
Additive function	Definition	Difference and functional equations
Tate algebra	Concept	Several complex variables and analytic spaces
Eilenberg–Moore category	Definition	Category theory; homological algebra
Set-valued measure	Definition	Measure and integration
Fenchel conjugate	Definition	Convex and discrete geometry
Monad in nonstandard topology	Definition	General topology
Fáry–Milnor theorem	Theorem	Differential geometry
Stochastic differential equation	Concept	Probability theory and stochastic processes
Sasakian manifold	Concept	Differential geometry
Invariant measure	Concept	Dynamical systems and ergodic theory
Szemerédi's theorem	Theorem	Number theory
Stochastic optimal control	Concept	Systems theory; control
Geometrization conjecture	Theorem	Manifolds and cell complexes
Catenary ring	Concept	Commutative algebra
Eulerian number	Definition	Combinatorics
Magnus's Freiheitssatz	Theorem	Group theory and generalizations
Additive category	Concept	Category theory; homological algebra
Poincaré–Lelong formula	Theorem	Several complex variables and analytic spaces
Differentially closed field	Definition	Field theory and polynomials
Varignon's theorem	Theorem	Geometry
Uhlenbeck's removable singularity theorem	Theorem	Global analysis, analysis on manifolds
Harish-Chandra module	Definition	Topological groups, Lie groups
Malmquist's theorem	Theorem	Ordinary differential equations
Conley index	Concept	Dynamical systems and ergodic theory
Bombieri–Vinogradov theorem	Theorem	Number theory
Krawtchouk polynomials	Definition	Special functions
Affine scheme	Concept	Algebraic geometry
Kissing number	Concept	Convex and discrete geometry
Symmetric derivative	Concept	Real functions
Butterfly catastrophe	Example	Global analysis, analysis on manifolds
Stallings–Swan theorem	Theorem	Group theory and generalizations
Coefficient of determination	Concept	Statistics
Integral geometry	Definition	Convex and discrete geometry
Symplectic integrator	Concept	Numerical analysis
Multilevel Monte Carlo method	Theorem	Numerical analysis
Codimension of a singularity	Concept	Global analysis, analysis on manifolds
Riemannian distance	Concept	Differential geometry
Elliptic partial differential equation	Concept	Partial differential equations
Band-limited function	Definition	Information and communication theory, circuits
Regular prime	Concept	Number theory
Curve of constant width	Concept	Convex and discrete geometry
Linear system of divisors	Definition	Algebraic geometry
Lindelöf summation	Concept	Sequences, series, summability
Exterior cone condition	Theorem	Potential theory
Analytic function between Banach spaces	Definition	Functional analysis
Asymptotic expansion	Definition	Approximations and expansions
Linear PDE	Definition	Partial differential equations
Carleman's inequality	Theorem	Real functions
Difference kernel	Concept	Integral equations
Period and index	Concept	Associative rings and algebras
Peirce decomposition	Proposition	Associative rings and algebras
Jacobian conjecture	Conjecture	Algebraic geometry
Homological mirror symmetry	Conjecture	Differential geometry
Symplectic manifold	Definition	Differential geometry
Differentiation operator p	Definition	Integral transforms, operational calculus
Consistency of summability methods	Definition	Sequences, series, summability
Presburger arithmetic	Example	Mathematical logic and foundations
Pappus's hexagon theorem	Theorem	Geometry
P-adic dynamics	Concept	Dynamical systems and ergodic theory
Numerical analysis	Concept	Numerical analysis
QR algorithm	Concept	Numerical analysis
Locally convex space	Concept	Functional analysis
Topological homogeneity	Definition	General topology
Yang–Mills functional	Definition	Global analysis, analysis on manifolds
Density of simple functions in Lp	Proposition	Functional analysis
Rigid monoidal category	Definition	Category theory; homological algebra
Dieudonné's theorem on paracompact Hausdorff spaces	Theorem	General topology
Double sequence	Concept	Sequences, series, summability
Triangulated category	Definition	Category theory; homological algebra
Topological mixing	Concept	Dynamical systems and ergodic theory
Motive	Definition	Algebraic geometry
Regular boundary point	Concept	Potential theory
Kaplan–Meier estimator	Concept	Statistics
Multiplicity of a local ring	Definition	Commutative algebra
Asymptotic expansion from poles of a Mellin transform	Concept	Integral transforms, operational calculus
Locally ringed space	Concept	Algebraic geometry
Proper cone	Definition	Convex and discrete geometry
Cramér–von Mises criterion	Definition	Statistics
Selberg's 1/4 conjecture	Conjecture	Number theory
Splitting of prime ideals	Concept	Number theory
Uniform structure of a topological group	Definition	Topological groups, Lie groups
Integral extension	Concept	Commutative algebra
Lorentz space	Definition	Functional analysis
Spectral geometry	Definition	Global analysis, analysis on manifolds
Cubic spline	Definition	Approximations and expansions
Distance geometry	Definition	Geometry
Fuzzy algebraic structure	Definition	General algebraic systems
Valuation	Concept	Field theory and polynomials
Infinite compositions of functions	Concept	Sequences, series, summability
Chebyshev functions	Concept	Number theory
Non-wandering set	Definition	Dynamical systems and ergodic theory
Jacobi method	Theorem	Numerical analysis
Plücker coordinates	Concept	Geometry
Spectrum of the Laplace–Beltrami operator	Concept	Global analysis, analysis on manifolds
Numerical linear algebra	Concept	Numerical analysis
Möbius inversion on posets	Theorem	Order, lattices, ordered algebraic structures
Ravenel conjectures	Theorem	Algebraic topology
Kesten's theorem on planar bond percolation	Theorem	Probability theory and stochastic processes
Borel measure	Definition	Measure and integration
Intersection multiplicity	Definition	Algebraic geometry
Vizing's theorem	Theorem	Combinatorics
Willmore energy	Definition	Differential geometry
Constructive function theory	Concept	Approximations and expansions
Stone duality	Theorem	Order, lattices, ordered algebraic structures
Chern connection	Definition	Differential geometry
Z-transform as a generating function	Definition	Integral transforms, operational calculus