Concepts

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

Ideas 4501–4650 of 5200.

Name	Kind	Subject
Proper holomorphic map	Concept	Several complex variables and analytic spaces
Free product	Concept	Group theory and generalizations
Boundary value problem	Concept	Ordinary differential equations
Degree of a continuous map	Concept	Algebraic topology
Gegenbauer transform	Concept	Integral transforms, operational calculus
Primary ideal	Concept	Commutative algebra
Laplacian matrix	Concept	Combinatorics
Computably enumerable set	Concept	Mathematical logic and foundations
Formal group law in topology	Concept	Algebraic topology
Random graph	Concept	Combinatorics
Hyers–Ulam stability	Concept	Difference and functional equations
Lemniscate elliptic functions	Concept	Special functions
Local regression	Concept	Statistics
Root-finding algorithm	Concept	Numerical analysis
Closure of an operator	Concept	Operator theory
Jacobi polynomials	Concept	Special functions
Ill-posedness of real Laplace inversion	Concept	Integral transforms, operational calculus
Topological ring	Concept	Associative rings and algebras
Pick matrix	Concept	Functions of a complex variable
Discrete Fourier transform	Concept	Numerical analysis
Partial correlation	Concept	Statistics
Stokes phenomenon	Concept	Ordinary differential equations
Spectral density estimation	Concept	Statistics
Absolutely free algebra	Concept	General algebraic systems
Atom	Concept	Order, lattices, ordered algebraic structures
Locally finite poset	Concept	Order, lattices, ordered algebraic structures
Parallel transport	Concept	Differential geometry
Serial ring	Concept	Associative rings and algebras
Finite type invariant	Concept	Manifolds and cell complexes
Continuous-time Markov chain	Concept	Probability theory and stochastic processes
Beurling–Ahlfors transform	Concept	Harmonic analysis on Euclidean spaces
K-function	Concept	Special functions
Summation in topological groups	Concept	Sequences, series, summability
Representation of a quiver	Concept	Associative rings and algebras
Banach analytic space	Concept	Several complex variables and analytic spaces
Neville theta functions	Concept	Special functions
Complementary error function	Concept	Special functions
Adjoint functors	Concept	Category theory; homological algebra
Temperley–Lieb algebra	Concept	Associative rings and algebras
Disjoint union of posets	Concept	Order, lattices, ordered algebraic structures
Fourier monomial on the circle	Concept	Harmonic analysis on Euclidean spaces
Unital	Concept	Geometry
Triangulation of a point set	Concept	Convex and discrete geometry
Internal set theory	Concept	Mathematical logic and foundations
Valuation on convex bodies	Concept	Convex and discrete geometry
Completion of a topological group	Concept	Topological groups, Lie groups
Voronoi cell	Concept	Convex and discrete geometry
Cointegration	Concept	Statistics
G-delta set	Concept	General topology
Bessel potential	Concept	Potential theory
Tight frame	Concept	Harmonic analysis on Euclidean spaces
Epsilon-net of a set system	Concept	Convex and discrete geometry
Heap	Concept	Group theory and generalizations
Full subcategory	Concept	Category theory; homological algebra
Causal inference	Concept	Statistics
Cubic spline	Concept	Approximations and expansions
Dynkin system	Concept	Measure and integration
Rigidity of frameworks	Concept	Convex and discrete geometry
Convergence of Fourier series	Concept	Harmonic analysis on Euclidean spaces
p-adic integer	Concept	Field theory and polynomials
Radical extension	Concept	Field theory and polynomials
Residuated mapping	Concept	Order, lattices, ordered algebraic structures
Parabolic cylinder function	Concept	Special functions
Collineation	Concept	Geometry
Simplicial complex	Concept	Combinatorics
Martin's axiom	Concept	Mathematical logic and foundations
von Mises–Fisher distribution	Concept	Statistics
Newtonian space	Concept	Functional analysis
Serre's twisting sheaf	Concept	Algebraic geometry
X-ray transform	Concept	Integral transforms, operational calculus
Malcev completion	Concept	Topological groups, Lie groups
Zeilberger's algorithm	Concept	Special functions
Operator space	Concept	Operator theory
Minkowski plane	Concept	Geometry
Trigonometric integrals	Concept	Special functions
q-convex manifold	Concept	Several complex variables and analytic spaces
n-skeleton	Concept	Manifolds and cell complexes
Cole–Hopf transformation	Concept	Partial differential equations
Ancillary statistic	Concept	Statistics
Kohn–Rossi cohomology	Concept	Several complex variables and analytic spaces
Fractional Brownian motion	Concept	Probability theory and stochastic processes
Word metric	Concept	Group theory and generalizations
Dual operator	Concept	Operator theory
Cyclotomic extension	Concept	Field theory and polynomials
Generalized hypergeometric function	Concept	Special functions
Order polynomial	Concept	Order, lattices, ordered algebraic structures
Geometric lattice	Concept	Order, lattices, ordered algebraic structures
Random integral equation	Concept	Integral equations
Hausdorff content	Concept	Measure and integration
Logarithmic kernel	Concept	Potential theory
Clenshaw–Curtis quadrature	Concept	Numerical analysis
Bayes risk	Concept	Statistics
Self-distributive operation	Concept	Group theory and generalizations
Curvelet	Concept	Harmonic analysis on Euclidean spaces
Wasserstein metric	Concept	Calculus of variations and optimal control; optimization
Ore extension	Concept	Associative rings and algebras
Nonexpansive map	Concept	Operator theory
Nonparametric statistics	Concept	Statistics
Cyclic extension	Concept	Field theory and polynomials
Minimal period	Concept	Dynamical systems and ergodic theory
Signed measure	Concept	Measure and integration
Surface	Concept	Manifolds and cell complexes
Stone-type duality for varieties	Concept	General algebraic systems
List coloring	Concept	Combinatorics
Algebraic set	Concept	Algebraic geometry
f-ring	Concept	Order, lattices, ordered algebraic structures
Fourier transform on locally compact abelian groups	Concept	Abstract harmonic analysis
Completely monotone function	Concept	Real functions
Lindeberg's condition	Concept	Probability theory and stochastic processes
Risch algorithm	Concept	Computer science
Zeta function regularization	Concept	Number theory
Radon transform	Concept	Integral transforms, operational calculus
Köthe–Toeplitz dual	Concept	Functional analysis
Hom functor	Concept	Category theory; homological algebra
Perfectly normal space	Concept	General topology
Absolute geometry	Concept	Geometry
Submanifold	Concept	Global analysis, analysis on manifolds
Deformation of complex structure	Concept	Several complex variables and analytic spaces
Azumaya algebra	Concept	Associative rings and algebras
Closed operator	Concept	Operator theory
Gibbs phenomenon	Concept	Harmonic analysis on Euclidean spaces
Exposed point	Concept	Convex and discrete geometry
Fuchsian group	Concept	Group theory and generalizations
Linear programming	Concept	Operations research, mathematical programming
Wandering set	Concept	Dynamical systems and ergodic theory
Function approximation	Concept	Approximations and expansions
Algebraic stack	Concept	Algebraic geometry
Heat equation	Concept	Partial differential equations
Romberg's method	Concept	Numerical analysis
Logarithmic integral	Concept	Special functions
Kriging	Concept	Statistics
Infinitesimal generator of a Markov process	Concept	Probability theory and stochastic processes
Algebraic combinatorics	Concept	Combinatorics
Associated Legendre polynomials	Concept	Special functions
Geometric integrator	Concept	Dynamical systems and ergodic theory
Line segment	Concept	Convex and discrete geometry
Null set	Concept	Measure and integration
Steenrod square	Concept	Algebraic topology
Eigenvalue perturbation	Concept	Linear and multilinear algebra; matrix theory
Uniform integrability	Concept	Measure and integration
Complete elliptic integral of the second kind	Concept	Special functions
Elliptic surface	Concept	Algebraic geometry
Totally unimodular matrix	Concept	Linear and multilinear algebra; matrix theory
Transfinite diameter	Concept	Potential theory
Interval order	Concept	Order, lattices, ordered algebraic structures
Braided monoidal category	Concept	Category theory; homological algebra
Isolated hypersurface singularity	Concept	Several complex variables and analytic spaces
Schröder's equation	Concept	Difference and functional equations
Character sum	Concept	Number theory
Perfect field	Concept	Field theory and polynomials