Concepts

A mathematical idea. It can have more than one definition.

Ideas 4051–4200 of 5206.

Name	Kind	Subject
Energy functional on paths	Concept	Global analysis, analysis on manifolds
Information-based complexity	Concept	Numerical analysis
Category theory	Concept	Category theory; homological algebra
Hausdorff measure	Concept	Measure and integration
Khinchin integral	Concept	Real functions
Asymptotic analysis	Concept	Approximations and expansions
Legendrian submanifold	Concept	Differential geometry
Domain theory	Concept	Order, lattices, ordered algebraic structures
Configuration	Concept	Combinatorics
Unary operation	Concept	General algebraic systems
Periodic sequence	Concept	Difference and functional equations
Graphical model	Concept	Statistics
Vandermonde matrix	Concept	Linear and multilinear algebra; matrix theory
Quadric	Concept	Geometry
K3 surface	Concept	Algebraic geometry
Type theory	Concept	Mathematical logic and foundations
Dehn function	Concept	Group theory and generalizations
H-cone	Concept	Potential theory
Zonal spherical harmonics	Concept	Special functions
Method of steepest descent	Concept	Approximations and expansions
Galois connection	Concept	Order, lattices, ordered algebraic structures
Direct limit of rings	Concept	Associative rings and algebras
Riemannian metric	Concept	Differential geometry
Pushout	Concept	Category theory; homological algebra
Polygon triangulation	Concept	Computer science
Young tableau	Concept	Combinatorics
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
Completeness in order theory	Concept	Order, lattices, ordered algebraic structures
Polynomial greatest common divisor	Concept	Commutative algebra
Biorthogonal wavelet	Concept	Harmonic analysis on Euclidean spaces
Suspension	Concept	Algebraic topology
Feigenbaum–Cvitanović functional equation	Concept	Dynamical systems and ergodic theory
Minimal model program	Concept	Algebraic geometry
Bloch–Wigner function	Concept	Special functions
Strong amalgamation property	Concept	General algebraic systems
Germ of an analytic set	Concept	Several complex variables and analytic spaces
Bialgebra	Concept	Associative rings and algebras
Perfectoid space	Concept	Algebraic geometry
Holomorphic line bundle	Concept	Several complex variables and analytic spaces
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
Mixed volume	Concept	Convex and discrete geometry
Krylov subspace	Concept	Numerical analysis
Free object	Concept	Category theory; homological algebra
Siciak extremal function	Concept	Several complex variables and analytic spaces
HOMFLY polynomial	Concept	Manifolds and cell complexes
Lindenbaum–Tarski algebra	Concept	Mathematical logic and foundations
Injective hull	Concept	Commutative algebra
Martin boundary	Concept	Potential theory
Integral transforms of tempered distributions	Concept	Functional analysis
Topological index	Concept	Global analysis, analysis on manifolds
Standard probability space	Concept	Measure and integration
Voronoi diagram	Concept	Convex and discrete geometry
Taylor term	Concept	General algebraic systems
Horvitz–Thompson estimator	Concept	Statistics
Goldie ring	Concept	Associative rings and algebras
Endomorphism monoid	Concept	General algebraic systems
Dual cone	Concept	Convex and discrete geometry
Legendre polynomials	Concept	Special functions
Radical of a module	Concept	Associative rings and algebras
Algebra over a monad	Concept	Category theory; homological algebra
Convergence along an ultrafilter	Concept	General topology
Appell series	Concept	Special functions
Vanishing mean oscillation	Concept	Harmonic analysis on Euclidean spaces
Analytic capacity	Concept	Functions of a complex variable
Leray–Schauder method	Concept	Operator theory
Schnirelmann density	Concept	Number theory
Inverse distance weighting	Concept	Numerical analysis
Beta function	Concept	Special functions
Overdetermined system	Concept	Linear and multilinear algebra; matrix theory
Algebraic structure	Concept	General algebraic systems
Bounded mean oscillation	Concept	Functions of a complex variable
Ordinary point and singular point	Concept	Ordinary differential equations
Spectral geometry	Concept	Global analysis, analysis on manifolds
Whitehead product	Concept	Algebraic topology
Fully invariant congruence	Concept	General algebraic systems
Lagrangian singularity	Concept	Differential geometry
Bidual and canonical embedding	Concept	Functional analysis
Prime ideal of a lattice	Concept	Order, lattices, ordered algebraic structures
Fermat point	Concept	Geometry
Graphon	Concept	Combinatorics
Box spline	Concept	Approximations and expansions
Dirac operator on a spin manifold	Concept	Differential geometry
Abel transform	Concept	Integral transforms, operational calculus
Laurent polynomial ring	Concept	Associative rings and algebras
Satisfiability	Concept	Mathematical logic and foundations
Prolate spheroidal wave functions	Concept	Special functions
Congruence generated by a relation	Concept	General algebraic systems
Polytope	Concept	Convex and discrete geometry
Deformation of algebras	Concept	Associative rings and algebras
Total curvature	Concept	Differential geometry
Bargmann transform	Concept	Integral transforms, operational calculus
Interval arithmetic	Concept	Numerical analysis
Cartan connection	Concept	Differential geometry
Dynamic programming in continuous time	Concept	Calculus of variations and optimal control; optimization
Method of matched asymptotic expansions	Concept	Ordinary differential equations
Boundary integral method for the Dirichlet problem	Concept	Potential theory
Lie group method for PDEs	Concept	Partial differential equations
Heaviside operational calculus	Concept	Integral transforms, operational calculus
Nilradical	Concept	Commutative algebra
Wigner D-matrix	Concept	Special functions
Topological manifold	Concept	Manifolds and cell complexes
Dunford–Pettis property	Concept	Functional analysis
Absolutely monotonic function	Concept	Real functions
Horn clause	Concept	Mathematical logic and foundations
Uniformly most powerful test	Concept	Statistics
Logical connective	Concept	Mathematical logic and foundations
Singular values of a compact operator	Concept	Operator theory
Valuation ring	Concept	Commutative algebra
Multidimensional Laplace transform	Concept	Integral transforms, operational calculus
Shimura variety	Concept	Algebraic geometry
Survival function	Concept	Statistics
Natural boundary condition	Concept	Calculus of variations and optimal control; optimization
Basis of a matroid	Concept	Combinatorics
Perspectivity	Concept	Geometry
Lebesgue–Stieltjes measure	Concept	Measure and integration
Mahler measure	Concept	Number theory
Hypersingular integral equation	Concept	Integral equations
Cayley–Abels graph	Concept	Topological groups, Lie groups
Exponential functions on semigroups	Concept	Difference and functional equations
Quasi-primal algebra	Concept	General algebraic systems
Modular lattice	Concept	Order, lattices, ordered algebraic structures
Topological semigroup	Concept	Topological groups, Lie groups
Determinacy	Concept	Mathematical logic and foundations
Open subgroup	Concept	Topological groups, Lie groups
Knot	Concept	Manifolds and cell complexes
Pringsheim convergence	Concept	Sequences, series, summability
Tate's thesis	Concept	Number theory
Wiener–Hopf equation	Concept	Integral equations
Incomplete Cholesky factorization	Concept	Numerical analysis
Cohomological dimension of a field	Concept	Field theory and polynomials
Pincherle derivative	Concept	Operator theory
Kuranishi family	Concept	Several complex variables and analytic spaces
Perron–Wiener–Brelot solution	Concept	Potential theory
Filtered algebra	Concept	Associative rings and algebras
3-manifold	Concept	Manifolds and cell complexes
Brauer character	Concept	Group theory and generalizations
Smooth structure	Concept	Manifolds and cell complexes
Galois connection between subgroups and subfields	Concept	Field theory and polynomials
Fréchet–Urysohn space	Concept	General topology
Power series in several variables	Concept	Several complex variables and analytic spaces
Integral equation	Concept	Integral equations
Semilocally simply connected space	Concept	Manifolds and cell complexes
Projective conic	Concept	Geometry
Kummer–Artin–Schreier–Witt theory	Concept	Field theory and polynomials
Torus integral	Concept	Several complex variables and analytic spaces
Gelfand–Levitan theory	Concept	Ordinary differential equations