Concepts

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

Ideas 1351–1500 of 5206.

Name	Kind	Subject
Infinite product measure	Concept	Measure and integration
Sheafification	Concept	Category theory; homological algebra
Homology of a chain complex	Concept	Category theory; homological algebra
Holomorphic automorphisms of C^n	Concept	Several complex variables and analytic spaces
Stochastic geometry	Concept	Probability theory and stochastic processes
Autoregressive model	Concept	Statistics
Countably generated structure	Concept	General algebraic systems
Loop space	Concept	Algebraic topology
Associativity equation	Concept	Difference and functional equations
Y transform	Concept	Integral transforms, operational calculus
Unconditional convergence	Concept	Sequences, series, summability
Weak mixing	Concept	Dynamical systems and ergodic theory
Harish-Chandra module	Concept	Topological groups, Lie groups
Group von Neumann algebra	Concept	Topological groups, Lie groups
Relaxation oscillation	Concept	Ordinary differential equations
Linear logic	Concept	Mathematical logic and foundations
Free algebra	Concept	Associative rings and algebras
List of integral transforms	Concept	Integral transforms, operational calculus
Fourier–Mukai transform	Concept	Algebraic geometry
Hankel transform	Concept	Integral transforms, operational calculus
Born series	Concept	Quantum theory
Cofinal subset	Concept	Order, lattices, ordered algebraic structures
Path algebra	Concept	Associative rings and algebras
Abel function	Concept	Difference and functional equations
Wavelet packet decomposition	Concept	Harmonic analysis on Euclidean spaces
Least squares approximation	Concept	Approximations and expansions
Lattice of equational theories	Concept	General algebraic systems
Projective subspace	Concept	Geometry
Prüfer domain	Concept	Commutative algebra
Ehrenfeucht–Fraïssé game	Concept	Mathematical logic and foundations
Fredholm equation of the first kind	Concept	Integral equations
Iterative method	Concept	Numerical analysis
Poisson bracket	Concept	Differential geometry
Regular category	Concept	Category theory; homological algebra
Lifting idempotents	Concept	Associative rings and algebras
Geometric group theory	Concept	Group theory and generalizations
Finite element exterior calculus	Concept	Numerical analysis
Balanced set	Concept	Functional analysis
Design of experiments	Concept	Statistics
Generated subalgebra	Concept	General algebraic systems
Method of multiple scales	Concept	Ordinary differential equations
Fredholm index	Concept	Operator theory
I-adic topology	Concept	Commutative algebra
Derived category of coherent sheaves	Concept	Algebraic geometry
Noetherian topological space	Concept	General topology
Auslander–Reiten theory	Concept	Associative rings and algebras
Completion of a normed space	Concept	Functional analysis
Ideal of compact operators	Concept	Operator theory
Heegaard Floer homology	Concept	Manifolds and cell complexes
Prony's method	Concept	Numerical analysis
Bifurcation diagram	Concept	Dynamical systems and ergodic theory
Reductive group	Concept	Group theory and generalizations
Errors-in-variables model	Concept	Statistics
Möbius function of a poset	Concept	Order, lattices, ordered algebraic structures
Series-parallel partial order	Concept	Order, lattices, ordered algebraic structures
Todd class	Concept	Algebraic geometry
Milnor K-theory	Concept	K-theory
Mean curvature flow	Concept	Differential geometry
Convolution	Concept	Abstract harmonic analysis
Hermitian kernel	Concept	Integral equations
Smash product	Concept	Associative rings and algebras
Convex polytope	Concept	Convex and discrete geometry
Chromatic homotopy theory	Concept	Algebraic topology
Pseudogroup	Concept	Global analysis, analysis on manifolds
Higher-order differences	Concept	Difference and functional equations
Frame	Concept	Order, lattices, ordered algebraic structures
Time-scale calculus	Concept	Real functions
Toda bracket	Concept	Algebraic topology
Lanczos sigma factor	Concept	Harmonic analysis on Euclidean spaces
Clifford module	Concept	Linear and multilinear algebra; matrix theory
Angle of parallelism	Concept	Geometry
Lorentz space	Concept	Functional analysis
Heat kernel on a Riemannian manifold	Concept	Global analysis, analysis on manifolds
Interpretation of varieties	Concept	General algebraic systems
Hodge theory	Concept	Algebraic geometry
Delta functor	Concept	Category theory; homological algebra
Poincaré's functional equation	Concept	Difference and functional equations
Outer regular measure	Concept	Measure and integration
Casson invariant	Concept	Manifolds and cell complexes
Mortar methods	Concept	Numerical analysis
Fourier–Bessel series	Concept	Harmonic analysis on Euclidean spaces
Hyponormal operator	Concept	Operator theory
Proper forcing axiom	Concept	Mathematical logic and foundations
Current	Concept	Calculus of variations and optimal control; optimization
Dini derivative	Concept	Real functions
Factorization system	Concept	Category theory; homological algebra
Matrix Lie group	Concept	Topological groups, Lie groups
Choquet integral	Concept	Measure and integration
Dimension of an algebraic variety	Concept	Algebraic geometry
Selmer group	Concept	Number theory
Extremally disconnected space	Concept	General topology
Resurgent function	Concept	Ordinary differential equations
Hasse–Weil zeta function	Concept	Algebraic geometry
Koopman operator	Concept	Dynamical systems and ergodic theory
Hyperconnected space	Concept	General topology
Wilcoxon signed-rank test	Concept	Statistics
Strong maximal function	Concept	Harmonic analysis on Euclidean spaces
Delay differential equation	Concept	Ordinary differential equations
Generic point	Concept	Algebraic geometry
Small cancellation theory	Concept	Group theory and generalizations
Higher category theory	Concept	Category theory; homological algebra
Henselian field	Concept	Field theory and polynomials
p-adic Lie group	Concept	Topological groups, Lie groups
Maximal chain	Concept	Order, lattices, ordered algebraic structures
Betti numbers of a module	Concept	Commutative algebra
Probabilistic method	Concept	Combinatorics
von Neumann bounded set	Concept	Functional analysis
Discriminant of a field extension	Concept	Number theory
Loss function	Concept	Statistics
Priority method	Concept	Mathematical logic and foundations
Automorphic form	Concept	Number theory
Multialgebra	Concept	General algebraic systems
Associative algebra	Concept	Associative rings and algebras
Strassen algorithm	Concept	Numerical analysis
Doléans-Dade exponential	Concept	Probability theory and stochastic processes
Bilateral Z-transform	Concept	Integral transforms, operational calculus
Short-time Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Oscillatory solution of a difference equation	Concept	Difference and functional equations
Dirac operator	Concept	Global analysis, analysis on manifolds
Multivariate formal power series	Concept	Commutative algebra
Finitely presented module	Concept	Commutative algebra
Algebraic approach to constraint satisfaction	Concept	General algebraic systems
Spherical harmonics	Concept	Special functions
Whitney stratification	Concept	Several complex variables and analytic spaces
Orthogonal polynomials on the unit circle	Concept	Harmonic analysis on Euclidean spaces
Periodic boundary conditions	Concept	Ordinary differential equations
Upper nilradical	Concept	Associative rings and algebras
Fréchet space	Concept	Functional analysis
Faddeeva function	Concept	Special functions
Minimal surface equation	Concept	Partial differential equations
Algebraic lattice	Concept	Order, lattices, ordered algebraic structures
Polygamma function	Concept	Special functions
Derivation	Concept	Commutative algebra
Maximal torus	Concept	Topological groups, Lie groups
Trace of an integral operator	Concept	Integral equations
Dirichlet kernel	Concept	Harmonic analysis on Euclidean spaces
Square root of a positive operator	Concept	Operator theory
Robinson arithmetic	Concept	Mathematical logic and foundations
Moving frame	Concept	Differential geometry
Carleman matrix	Concept	Difference and functional equations
Ridge regression	Concept	Statistics
Inverse semigroup	Concept	Group theory and generalizations
Jónsson terms	Concept	General algebraic systems
Brownian bridge	Concept	Probability theory and stochastic processes
Einstein field equations	Concept	Relativity and gravitational theory
Deformation quantization	Concept	Differential geometry
Holomorphic map	Concept	Several complex variables and analytic spaces
Pluricomplex Green function	Concept	Several complex variables and analytic spaces
Extreme point	Concept	Functional analysis
Jordan–Kinderlehrer–Otto scheme	Concept	Calculus of variations and optimal control; optimization