Concepts

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

Ideas 4201–4350 of 5206.

Name	Kind	Subject
Oriented matroid	Concept	Convex and discrete geometry
Contractible space	Concept	Algebraic topology
Hecke character	Concept	Number theory
Dual pair	Concept	Functional analysis
Fixed point	Concept	Dynamical systems and ergodic theory
Unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Seeley–DeWitt coefficients	Concept	Global analysis, analysis on manifolds
Clifford–Klein form	Concept	Manifolds and cell complexes
Initial algebra	Concept	Category theory; homological algebra
Kernel approximation in reproducing kernel Hilbert spaces	Concept	Functional analysis
Vertex of a polytope	Concept	Convex and discrete geometry
Abelian variety	Concept	Algebraic geometry
Willmore energy	Concept	Differential geometry
Convex hull algorithms	Concept	Computer science
Self-similar measure	Concept	Measure and integration
Hilbert manifold	Concept	Global analysis, analysis on manifolds
Zolotarev polynomials	Concept	Approximations and expansions
Weierstrass excess function	Concept	Calculus of variations and optimal control; optimization
Univalent function	Concept	Functions of a complex variable
Isometry of Riemannian manifolds	Concept	Differential geometry
Topological monoid	Concept	Topological groups, Lie groups
Width of a poset	Concept	Order, lattices, ordered algebraic structures
Hamiltonian of an optimal control problem	Concept	Calculus of variations and optimal control; optimization
Minimal sufficient statistic	Concept	Statistics
Monad in nonstandard topology	Concept	General topology
Lp multiplier	Concept	Harmonic analysis on Euclidean spaces
Almost everywhere	Concept	Measure and integration
Self-similar process	Concept	Probability theory and stochastic processes
Huber loss	Concept	Statistics
Semilinear PDE	Concept	Partial differential equations
Anosov diffeomorphism	Concept	Dynamical systems and ergodic theory
Order topology	Concept	General topology
Post algebra	Concept	Order, lattices, ordered algebraic structures
Morita equivalence	Concept	Associative rings and algebras
Way-below relation	Concept	Order, lattices, ordered algebraic structures
Cohomology ring	Concept	Algebraic topology
Indirect method by shooting	Concept	Calculus of variations and optimal control; optimization
Quiver	Concept	Associative rings and algebras
Contravariant functor	Concept	Category theory; homological algebra
Congruence lattice	Concept	General algebraic systems
Compact-open topology	Concept	General topology
Stieltjes transform	Concept	Integral transforms, operational calculus
Strong dual space	Concept	Functional analysis
Gauss–Legendre quadrature	Concept	Numerical analysis
Order embedding	Concept	Order, lattices, ordered algebraic structures
Butcher tableau	Concept	Numerical analysis
Structural rigidity	Concept	Convex and discrete geometry
Nontangential limit	Concept	Potential theory
Parabolic and hyperbolic Riemann surfaces	Concept	Functions of a complex variable
Exponential object	Concept	Category theory; homological algebra
Integral of a Hopf algebra	Concept	Associative rings and algebras
Unification	Concept	Computer science
Functional equations on groups	Concept	Difference and functional equations
Fourier–Legendre series	Concept	Harmonic analysis on Euclidean spaces
Attainable null space	Concept	Functional analysis
Noncentral chi-squared distribution	Concept	Statistics
Complete elliptic integral of the first kind	Concept	Special functions
Turing pattern	Concept	Partial differential equations
Hilbert polynomial	Concept	Commutative algebra
Saturated model	Concept	Mathematical logic and foundations
Character of a representation	Concept	Group theory and generalizations
Bartle–Dunford–Schwartz integral	Concept	Functional analysis
Semicontinuity	Concept	General topology
Kan extension	Concept	Category theory; homological algebra
Euler characteristic	Concept	Algebraic topology
Hyperoval	Concept	Geometry
Brunn–Minkowski theory	Concept	Convex and discrete geometry
Strictly singular operator	Concept	Operator theory
Henselian ring	Concept	Commutative algebra
Orbifold	Concept	Manifolds and cell complexes
Constant-mean-curvature surface	Concept	Differential geometry
c-cyclical monotonicity	Concept	Calculus of variations and optimal control; optimization
Kardar–Parisi–Zhang equation	Concept	Probability theory and stochastic processes
Volterra series	Concept	Systems theory; control
Dodgson condensation	Concept	Linear and multilinear algebra; matrix theory
Archimedean equivalence classes	Concept	Order, lattices, ordered algebraic structures
Stable vector bundle	Concept	Algebraic geometry
Injective tensor product	Concept	Functional analysis
Askey scheme	Concept	Special functions
Stiff equation	Concept	Numerical analysis
Normal coordinates	Concept	Differential geometry
Ample line bundle	Concept	Algebraic geometry
Symmetric and self-reciprocal kernels	Concept	Integral transforms, operational calculus
Riemann's differential equation	Concept	Special functions
Eilenberg swindle	Concept	Associative rings and algebras
Askey–Wilson polynomials	Concept	Special functions
Spin structure	Concept	Differential geometry
Sheaf on a site	Concept	Category theory; homological algebra
Set theory	Concept	Mathematical logic and foundations
Floating-point arithmetic	Concept	Numerical analysis
Mesh generation	Concept	Numerical analysis
Nerve of a category	Concept	Category theory; homological algebra
Natural density	Concept	Number theory
Embedded prime	Concept	Commutative algebra
Infinite Galois theory	Concept	Field theory and polynomials
Epimorphism	Concept	Category theory; homological algebra
Euler equations	Concept	Partial differential equations
Jordan–Dedekind chain condition	Concept	Order, lattices, ordered algebraic structures
Group action on a variety	Concept	Algebraic geometry
Singular simplicial set	Concept	Algebraic topology
Regulator of a number field	Concept	Number theory
Church–Turing thesis	Concept	Mathematical logic and foundations
Random ordinary differential equation	Concept	Ordinary differential equations
Pfaffian system	Concept	Global analysis, analysis on manifolds
Continuous lattice	Concept	Order, lattices, ordered algebraic structures
Discrete-time Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Locally cyclic group	Concept
Nef line bundle	Concept	Algebraic geometry
Abel–Poisson summation of Fourier series	Concept	Harmonic analysis on Euclidean spaces
Zak transform	Concept	Harmonic analysis on Euclidean spaces
Dehn invariant	Concept	Convex and discrete geometry
Exact functor	Concept	Category theory; homological algebra
Fundamental group	Concept	Algebraic topology
Optimal control of partial differential equations	Concept	Calculus of variations and optimal control; optimization
Minimal prime ideal	Concept	Commutative algebra
Karoubi envelope	Concept	Category theory; homological algebra
Schlegel diagram	Concept	Convex and discrete geometry
Socle of a module	Concept	Associative rings and algebras
Sheaf of modules	Concept	Algebraic geometry
Circle packing	Concept	Convex and discrete geometry
Countably compact space	Concept	General topology
Mixing	Concept	Dynamical systems and ergodic theory
Grothendieck topos	Concept	Category theory; homological algebra
Kernel	Concept	Category theory; homological algebra
Levi-flat hypersurface	Concept	Several complex variables and analytic spaces
Torsion of a curve	Concept	Differential geometry
Radical ideal	Concept	Commutative algebra
Quasiconvex function	Concept	Real functions
Hecke operator	Concept	Number theory
Product	Concept	Category theory; homological algebra
Hochschild homology	Concept	Associative rings and algebras
Fox H-function transforms	Concept	Integral transforms, operational calculus
Skew polynomial ring	Concept	Associative rings and algebras
Class operators H S P	Concept	General algebraic systems
Green's relations	Concept	Group theory and generalizations
Principal symbol of an operator on a manifold	Concept	Global analysis, analysis on manifolds
Laplace's equation	Concept	Partial differential equations
Brown–Peterson cohomology	Concept	Algebraic topology
Persistent homology	Concept	Algebraic topology
Prime model	Concept	Mathematical logic and foundations
Kleene's T predicate	Concept	Mathematical logic and foundations
Category of elements	Concept	Category theory; homological algebra
Real form of a Lie group	Concept	Topological groups, Lie groups
Homological algebra	Concept	Category theory; homological algebra
Lp space	Concept	Functional analysis
Quaternionic analysis	Concept	Functions of a complex variable
Artin group	Concept	Group theory and generalizations
Modification of a complex space	Concept	Several complex variables and analytic spaces
Quasiconformal mapping	Concept	Functions of a complex variable
Binary quadratic form	Concept	Number theory