Concepts

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

Ideas 4351–4500 of 5206.

Name	Kind	Subject
Weyl tensor	Concept	Differential geometry
Marsden–Weinstein reduction	Concept	Differential geometry
Extremal graph theory	Concept	Combinatorics
Preadditive category	Concept	Category theory; homological algebra
Embedding of structures	Concept	General algebraic systems
Universal enveloping algebra	Concept	Nonassociative rings and algebras
Weierstrass polynomial	Concept	Several complex variables and analytic spaces
Spherical code	Concept	Convex and discrete geometry
Identity component	Concept	Topological groups, Lie groups
Model category	Concept	Category theory; homological algebra
Adele ring	Concept	Number theory
Puiseux series	Concept	Commutative algebra
Block system	Concept	Group theory and generalizations
Linking number	Concept	Manifolds and cell complexes
Relaxed control	Concept	Calculus of variations and optimal control; optimization
Hilbertian field	Concept	Field theory and polynomials
Energy of a measure	Concept	Potential theory
Quasi-arithmetic mean	Concept	Real functions
Ore localization	Concept	Associative rings and algebras
Mellin convergence	Concept	Integral transforms, operational calculus
Green's function	Concept	Ordinary differential equations
Local class field theory	Concept	Number theory
Order of an entire function	Concept	Functions of a complex variable
Gumm terms	Concept	General algebraic systems
Vlasov equation	Concept	Partial differential equations
Hamilton–Jacobi–Bellman equation	Concept	Calculus of variations and optimal control; optimization
Filtered back-projection	Concept	Integral transforms, operational calculus
Weak solution	Concept	Partial differential equations
Homotopy type	Concept	Algebraic topology
Peak function	Concept	Several complex variables and analytic spaces
Hellinger distance	Concept	Statistics
Indefinite sum	Concept	Difference and functional equations
Null-homotopic map	Concept	Algebraic topology
Grothendieck universe	Concept	Mathematical logic and foundations
Left-invariant vector field	Concept	Topological groups, Lie groups
Volterra equation of convolution type	Concept	Integral equations
Generalized Fourier series	Concept	Harmonic analysis on Euclidean spaces
Order of a difference equation	Concept	Difference and functional equations
Non-Euclidean geometry	Concept	Geometry
Topological group structure of a vector space	Concept	Functional analysis
Spherical geometry	Concept	Geometry
Carleson measure	Concept	Functions of a complex variable
Hadamard product	Concept	Linear and multilinear algebra; matrix theory
Gaussian curvature	Concept	Differential geometry
Functional equation	Concept	Difference and functional equations
Heaviside cover-up method	Concept	Real functions
Polynomial interpolation	Concept	Approximations and expansions
Bäcklund transform	Concept	Dynamical systems and ergodic theory
Beth number	Concept	Mathematical logic and foundations
Complete set of orthogonal idempotents	Concept	Associative rings and algebras
Hausdorff dimension	Concept	Measure and integration
Initial value problem for a recurrence	Concept	Difference and functional equations
Betti number	Concept	Algebraic topology
Poisson regression	Concept	Statistics
Calabi–Yau manifold	Concept	Algebraic geometry
Surface of general type	Concept	Algebraic geometry
Non-atomic measure	Concept	Measure and integration
Trigonometric interpolation	Concept	Harmonic analysis on Euclidean spaces
Lindelöf space	Concept	General topology
Deformation theory	Concept	Algebraic geometry
Rational point	Concept	Algebraic geometry
Crossing number	Concept	Manifolds and cell complexes
Universal covering group	Concept	Topological groups, Lie groups
Functor of points	Concept	Algebraic geometry
Tjurina number	Concept	Several complex variables and analytic spaces
Cartan–Eilenberg resolution	Concept	Category theory; homological algebra
Determinantal ideal	Concept	Commutative algebra
Spherical trigonometry	Concept	Geometry
Sequential probability ratio test	Concept	Statistics
Minkowski addition	Concept	Convex and discrete geometry
Irreducible component	Concept	Algebraic geometry
Quillen adjunction	Concept	Category theory; homological algebra
Banach limit	Concept	Sequences, series, summability
Carathéodory metric	Concept	Several complex variables and analytic spaces
Matroid rank	Concept	Combinatorics
Manifold with corners	Concept	Global analysis, analysis on manifolds
Reduced ring	Concept	Commutative algebra
Admissible representation	Concept	Topological groups, Lie groups
Frölicher space	Concept	Global analysis, analysis on manifolds
Moving least squares	Concept	Numerical analysis
Subalgebra lattice	Concept	General algebraic systems
Minakshisundaram–Pleijel zeta function	Concept	Global analysis, analysis on manifolds
Holomorphic map between Riemann surfaces	Concept	Functions of a complex variable
Borel–Moore homology	Concept	Algebraic topology
Compositum of fields	Concept	Field theory and polynomials
Spectral element method	Concept	Numerical analysis
Local truncation error	Concept	Numerical analysis
Associative quotient of a magma	Concept	Group theory and generalizations
Berkovich space	Concept	Algebraic geometry
Maximal compact subgroup	Concept	Topological groups, Lie groups
Triangulated category	Concept	Category theory; homological algebra
Topological vector space	Concept	Functional analysis
Isomorphism of topological groups	Concept	Topological groups, Lie groups
Optimal control	Concept	Calculus of variations and optimal control; optimization
Nijenhuis tensor	Concept	Differential geometry
Omega-complete partial order	Concept	Order, lattices, ordered algebraic structures
Direct collocation	Concept	Calculus of variations and optimal control; optimization
Free distributive lattice	Concept	Order, lattices, ordered algebraic structures
Modular curve	Concept	Number theory
Gorenstein ring	Concept	Commutative algebra
Hodges–Lehmann estimator	Concept	Statistics
Fractional calculus	Concept	Real functions
Periodic point	Concept	Dynamical systems and ergodic theory
Lattice congruence	Concept	Order, lattices, ordered algebraic structures
E-infinity operad	Concept	Algebraic topology
Hammerstein integral equation	Concept	Integral equations
Ordered geometry	Concept	Geometry
Stable theory	Concept	Mathematical logic and foundations
Electrical network	Concept	Potential theory
Fenchel conjugate	Concept	Convex and discrete geometry
Muckenhoupt weights	Concept	Harmonic analysis on Euclidean spaces
Cobordism	Concept	Manifolds and cell complexes
Multivariate division algorithm	Concept	Commutative algebra
q-exponential	Concept	Combinatorics
Monodromy of the hypergeometric equation	Concept	Special functions
Rational difference equation	Concept	Difference and functional equations
Pointed space	Concept	Algebraic topology
Morse theory on Hilbert manifolds	Concept	Global analysis, analysis on manifolds
Reaction–diffusion system	Concept	Partial differential equations
Error-correcting code	Concept	Information and communication theory, circuits
Expansive homeomorphism	Concept	Dynamical systems and ergodic theory
Bicategory	Concept	Category theory; homological algebra
Integral geometry	Concept	Convex and discrete geometry
Algebraic statistics	Concept	Statistics
Faithful module	Concept	Associative rings and algebras
Picard–Vessiot extension	Concept	Field theory and polynomials
Sheaf	Concept	General topology
Triebel–Lizorkin space	Concept	Functional analysis
Poisson kernel	Concept	Potential theory
Mikusiński operational calculus	Concept	Integral transforms, operational calculus
Ehresmann connection	Concept	Differential geometry
Backward differentiation formula	Concept	Numerical analysis
Direct and inverse theorems of approximation	Concept	Approximations and expansions
Functional completeness	Concept	General algebraic systems
Direct method in the calculus of variations	Concept	Calculus of variations and optimal control; optimization
Hopf invariant	Concept	Algebraic topology
Descriptive set theory	Concept	Mathematical logic and foundations
Exact category	Concept	Category theory; homological algebra
Lie sphere geometry	Concept	Geometry
Geometric realization	Concept	Algebraic topology
Residually small variety	Concept	General algebraic systems
Integro-partial differential equation	Concept	Integral equations
Resistance form	Concept	Potential theory
Hartogs domain	Concept	Several complex variables and analytic spaces
Free category	Concept	Category theory; homological algebra
Differential game	Concept	Game theory, economics, finance, and other social and behavioral sciences
Group scheme	Concept	Algebraic geometry
Normal form	Concept	Ordinary differential equations
Finitely presented group	Concept	Group theory and generalizations
Ore condition	Concept	Associative rings and algebras