Every idea

Ideas 13201–13350 of 14167.

Name	Kind	Subject
Baker–Campbell–Hausdorff formula	Theorem	Topological groups, Lie groups
Mayer–Vietoris sequence	Theorem	Algebraic topology
Eikonal equation	Definition	Partial differential equations
Separable algebra	Concept	Associative rings and algebras
Stinespring dilation theorem	Theorem	Functional analysis
Balancing domain decomposition	Theorem	Numerical analysis
Frölicher–Nijenhuis bracket	Definition	Global analysis, analysis on manifolds
Hilbert's tenth problem	Theorem	Number theory
Chebotarev's density theorem	Theorem	Number theory
Lattice	Definition	Order, lattices, ordered algebraic structures
Residually finite algebra	Concept	General algebraic systems
Bangert–Franks theorem on closed geodesics on the sphere	Theorem	Global analysis, analysis on manifolds
Permanent	Concept	Linear and multilinear algebra; matrix theory
Adjoint state method	Definition	Calculus of variations and optimal control; optimization
Direct limit	Concept	Category theory; homological algebra
Padua points	Example	Approximations and expansions
Hecke operator	Definition	Number theory
Sub-Gaussian distribution	Concept	Probability theory and stochastic processes
Laguerre–Pólya class	Concept	Functions of a complex variable
F. and M. Riesz theorem	Theorem	Functions of a complex variable
Gödel's incompleteness theorems	Theorem	Mathematical logic and foundations
Weyl's theorem on compact perturbations	Theorem	Operator theory
Jacobson radical	Concept	Commutative algebra
Logarithmic potential	Definition	Potential theory
Hilbert's fourth problem	Problem	Geometry
Matrix Lie group	Definition	Topological groups, Lie groups
Sub-Riemannian geodesic problem	Problem	Differential geometry
Proportional hazards model	Definition	Statistics
Uniform approximation	Concept	Approximations and expansions
Commutative magma	Concept	Group theory and generalizations
Effective resistance	Concept	Potential theory
Hodge conjecture	Conjecture	Algebraic geometry
Inverse limit	Definition	Category theory; homological algebra
Quasi-Monte Carlo method	Definition	Numerical analysis
Khovanov homology	Concept	Manifolds and cell complexes
Pseudo-spectral method	Concept	Numerical analysis
CAT(0) group	Concept	Group theory and generalizations
Schnirelmann density	Definition	Number theory
Cotlar–Stein lemma	Lemma	Harmonic analysis on Euclidean spaces
Lindelöf's theorem	Theorem	Functions of a complex variable
Euler–Poisson equation for higher derivatives	Concept	Calculus of variations and optimal control; optimization
Incomplete LU factorization	Concept	Numerical analysis
J-homomorphism	Definition	Algebraic topology
Harmonic space	Definition	Potential theory
Associated graded ring	Definition	Commutative algebra
Local martingale	Concept	Probability theory and stochastic processes
Kovacic's algorithm	Concept	Ordinary differential equations
Nuclear space	Concept	Functional analysis
Gromoll–Meyer theorem on closed geodesics	Theorem	Global analysis, analysis on manifolds
Prime ring	Definition	Associative rings and algebras
Probit model	Concept	Statistics
Blocking	Concept	Statistics
Primal algebra	Concept	General algebraic systems
A subgroup of order two in S3 is not normal	Example	Group theory and generalizations
Unary algebra	Concept	General algebraic systems
Affine plane	Definition	Geometry
Fubini's theorem on differentiation	Theorem	Real functions
Metric outer measure	Definition	Measure and integration
Harmonic polynomial	Definition	Potential theory
Branch point	Definition	Functions of a complex variable
Square root of a positive operator	Definition	Operator theory
Nagata ring	Definition	Commutative algebra
Brauer–Manin obstruction	Concept	Algebraic geometry
Fox–Wright function	Concept	Special functions
Section of a vector bundle	Definition	Algebraic topology
Face lattice	Example	Convex and discrete geometry
Lebesgue–Stieltjes measure	Definition	Measure and integration
Faddeeva function	Definition	Special functions
Modulation space	Definition	Harmonic analysis on Euclidean spaces
Gauss–Laguerre quadrature	Theorem	Numerical analysis
Square root of a matrix	Definition	Linear and multilinear algebra; matrix theory
Best approximation	Definition	Approximations and expansions
Asymptotic scale	Concept	Approximations and expansions
Siegel–Walfisz theorem	Theorem	Number theory
F-sigma set	Definition	General topology
Leech lattice	Object	Number theory
Filippov's existence theorem	Theorem	Calculus of variations and optimal control; optimization
Adjoint integral equation	Concept	Integral equations
Kontorovich–Lebedev transform	Concept	Integral transforms, operational calculus
Superalgebra	Definition	Nonassociative rings and algebras
Continuous q-Hermite polynomials	Concept	Special functions
Sturmian word	Example	Computer science
Naive set theory	Concept	Mathematical logic and foundations
Hadamard's two-constants theorem	Theorem	Functions of a complex variable
Colimit	Definition	Category theory; homological algebra
Cartan–Kähler theorem	Theorem	Global analysis, analysis on manifolds
Regular semigroup	Concept	Group theory and generalizations
Stability conjecture	Theorem	Dynamical systems and ergodic theory
Colombeau algebra	Concept	Functional analysis
Analytic combinatorics	Definition	Combinatorics
Kähler manifold	Definition	Several complex variables and analytic spaces
Preconditioner	Definition	Numerical analysis
Elliptic cohomology	Concept	Algebraic topology
Train track	Concept	Manifolds and cell complexes
Geometric realization	Definition	Algebraic topology
Noether's theorem	Theorem	Mechanics of particles and systems
Skorokhod's embedding theorem	Theorem	Probability theory and stochastic processes
Beckman–Quarles theorem	Theorem	Geometry
Decay of Fourier coefficients and smoothness	Theorem	Harmonic analysis on Euclidean spaces
Interacting particle system	Definition	Probability theory and stochastic processes
Polyharmonic spline	Concept	Approximations and expansions
Separated morphism	Definition	Algebraic geometry
Normal fan	Concept	Convex and discrete geometry
Gleason–Yamabe theorem	Theorem	Topological groups, Lie groups
Algebraic curve	Concept	Algebraic geometry
Curvelet	Definition	Harmonic analysis on Euclidean spaces
p-Laplacian	Concept	Partial differential equations
Eilenberg–MacLane spectrum	Object	Algebraic topology
Semisimple Lie group	Concept	Topological groups, Lie groups
Mellin inversion theorem	Theorem	Integral transforms, operational calculus
Abelian algebra	Definition	General algebraic systems
Frobenius's theorem on Frobenius kernels	Theorem	Group theory and generalizations
Generalized least squares	Definition	Statistics
Hilbert scheme	Object	Algebraic geometry
Galois insertion	Definition	Order, lattices, ordered algebraic structures
Szász–Mirakyan operator	Definition	Approximations and expansions
Exchangeable random variables	Definition	Probability theory and stochastic processes
Function field	Concept	Field theory and polynomials
Empirical process	Concept	Probability theory and stochastic processes
Quillen adjunction	Definition	Category theory; homological algebra
Coefficient of determination	Definition	Statistics
Cohomological dimension of a field	Definition	Field theory and polynomials
Prime end	Definition	Functions of a complex variable
Grunsky matrix	Concept	Functions of a complex variable
Pentagon identity	Fact	Category theory; homological algebra
Theta transformation formula	Theorem	Number theory
Equidistribution modulo one	Concept	Number theory
Hilbert's theorem on the hyperbolic plane	Theorem	Differential geometry
Equilibrium problem with an external field	Problem	Potential theory
Schwarz triangle function	Concept	Special functions
AKS primality test	Theorem	Number theory
Associated bundle	Definition	Algebraic topology
Triangle removal lemma	Lemma	Combinatorics
Bounded gaps between primes	Theorem	Number theory
Néron–Severi group	Concept	Algebraic geometry
Hyperbolic conservation law	Concept	Partial differential equations
Substitution	Definition	Mathematical logic and foundations
Admissible decision rule	Definition	Statistics
Torus as a group	Example	Topological groups, Lie groups
Sumset	Concept	Number theory
Factorization of polynomials over finite fields	Concept	Number theory
Hemicontinuity	Concept	General topology
De la Vallée Poussin lower bound	Theorem	Approximations and expansions
Convex polytope	Definition	Convex and discrete geometry
Dirac equation	Concept	Partial differential equations
Dehn twist	Definition	Manifolds and cell complexes
Branch point	Concept	Functions of a complex variable
Polynomial operation	Concept	General algebraic systems
Nuclear operator	Concept	Operator theory
Nesbitt's inequality	Proposition	Real functions