Every idea

Ideas 8251–8400 of 14183.

Name	Kind	Subject
Algebraic dimension	Concept	Several complex variables and analytic spaces
Tensor product of modules	Concept	Commutative algebra
Laguerre plane	Concept	Geometry
Exact couple	Definition	Algebraic topology
Pluripolar set	Definition	Several complex variables and analytic spaces
Fekete points	Concept	Potential theory
Prüfer group	Example	Group theory and generalizations
Bernstein's inequality for polynomials	Theorem	Approximations and expansions
Walsh function	Concept	Harmonic analysis on Euclidean spaces
Von Neumann algebra	Definition	Functional analysis
Nonlinear Volterra equation	Concept	Integral equations
Whitney stratification	Definition	Several complex variables and analytic spaces
Rokhlin lemma	Lemma	Dynamical systems and ergodic theory
Stalk	Definition	General topology
Feigenbaum constants	Object	Dynamical systems and ergodic theory
Height function	Concept	Number theory
Equational theory	Concept	General algebraic systems
Integrable system	Definition	Dynamical systems and ergodic theory
Constructivism	Definition	Mathematical logic and foundations
Tridiagonal matrix algorithm	Theorem	Numerical analysis
Helly's theorem	Theorem	Convex and discrete geometry
Left-orderable group	Concept	Group theory and generalizations
Pseudospectrum	Concept	Numerical analysis
Chern–Simons theory	Concept	Manifolds and cell complexes
Semiorder	Concept	Order, lattices, ordered algebraic structures
Acyclic object	Concept	Category theory; homological algebra
Forcing	Concept	Mathematical logic and foundations
Harish-Chandra character	Concept	Topological groups, Lie groups
Homotopic maps	Concept	Algebraic topology
Hartman–Wintner theorem	Theorem	Ordinary differential equations
Curve of constant width	Definition	Convex and discrete geometry
Delta functor	Definition	Category theory; homological algebra
Principal symbol	Concept	Partial differential equations
Bounded variation	Definition	Real functions
Center manifold	Definition	Ordinary differential equations
Atomic domain	Concept	Commutative algebra
Lattice polytope	Concept	Convex and discrete geometry
Lamé equations of elasticity	Definition	Mechanics of deformable solids
Quantum unique ergodicity conjecture	Conjecture	Global analysis, analysis on manifolds
Krull topology	Concept	Field theory and polynomials
Stable distribution	Concept	Probability theory and stochastic processes
Intermittency	Definition	Dynamical systems and ergodic theory
Synthetic differential geometry	Concept	Geometry
Kleene's recursion theorem	Theorem	Mathematical logic and foundations
Monad	Definition	Category theory; homological algebra
Quasi-ergodicity	Concept	Dynamical systems and ergodic theory
Einstein problem	Theorem	Convex and discrete geometry
Smooth manifold	Concept	Global analysis, analysis on manifolds
Sturm–Liouville problem as an integral equation	Example	Integral equations
Domain theory	Definition	Order, lattices, ordered algebraic structures
Frame bundle	Concept	Global analysis, analysis on manifolds
Minkowski addition	Definition	Convex and discrete geometry
Laplace–Beltrami operator	Concept	Global analysis, analysis on manifolds
Banach bundle	Concept	Global analysis, analysis on manifolds
Cauchy–Kovalevskaya theorem for ODEs	Theorem	Ordinary differential equations
McKean–Singer formula	Theorem	Global analysis, analysis on manifolds
Reduced product	Concept	General algebraic systems
Compact Lie group	Definition	Topological groups, Lie groups
Fitting's lemma	Lemma	Associative rings and algebras
Stochastic difference equation	Definition	Difference and functional equations
Subanalytic set	Definition	Several complex variables and analytic spaces
Dixmier conjecture	Conjecture	Associative rings and algebras
Gross–Pitaevskii equation	Concept	Partial differential equations
Hopf bifurcation	Concept	Ordinary differential equations
Dini test	Theorem	Harmonic analysis on Euclidean spaces
Holomorphic line bundle	Definition	Several complex variables and analytic spaces
Hörmander–Mikhlin multiplier theorem	Theorem	Harmonic analysis on Euclidean spaces
Asymptotics of Bessel functions	Theorem	Special functions
Quasi-measure-preserving map	Concept	Measure and integration
Regular polytope	Concept	Geometry
Dynamic programming in continuous time	Definition	Calculus of variations and optimal control; optimization
Information geometry	Concept	Differential geometry
Siegel disc	Definition	Dynamical systems and ergodic theory
Pólya's conjecture on Laplacian eigenvalues	Conjecture	Partial differential equations
Log-rank test	Concept	Statistics
Sine-Gordon equation	Definition	Partial differential equations
Bloch space	Concept	Functions of a complex variable
Filter limit	Concept	General topology
Adic space	Concept	Algebraic geometry
Cauchy's exponential equation	Definition	Difference and functional equations
Positive-definite function	Concept	Harmonic analysis on Euclidean spaces
Hausdorff distance	Concept	General topology
Whittaker transform	Definition	Integral transforms, operational calculus
Dodgson condensation	Definition	Linear and multilinear algebra; matrix theory
Beltrami identity	Proposition	Calculus of variations and optimal control; optimization
Lagrange resolvent	Definition	Field theory and polynomials
Minkowski–Bouligand dimension	Definition	Measure and integration
Adaptive step size	Definition	Numerical analysis
Maximal compact subgroup	Definition	Topological groups, Lie groups
Cauchy–Davenport theorem	Theorem	Number theory
State on a C*-algebra	Concept	Functional analysis
Join and meet	Definition	Order, lattices, ordered algebraic structures
Epsilon-net of a set system	Definition	Convex and discrete geometry
Mathematical formulation of quantum mechanics	Definition	Quantum theory
Fractional Laplacian	Concept	Partial differential equations
Autoregressive–moving-average model	Definition	Statistics
Borel–Carathéodory theorem	Theorem	Functions of a complex variable
Hierarchical matrix	Definition	Numerical analysis
Problem of Apollonius	Problem	Geometry
Darboux integral	Concept	Real functions
Finiteness of the class number	Theorem	Number theory
Homotopy continuation for polynomial systems	Definition	Numerical analysis
Subdirect product	Definition	General algebraic systems
Shearlet	Concept	Harmonic analysis on Euclidean spaces
Yoneda embedding	Definition	Category theory; homological algebra
Arithmetic dynamics	Definition	Dynamical systems and ergodic theory
Weak mixing	Definition	Dynamical systems and ergodic theory
Classification of Fatou components	Theorem	Dynamical systems and ergodic theory
Compactness of the spectrum	Theorem	Functional analysis
Principal curvature	Concept	Differential geometry
Dido's problem	Problem	Calculus of variations and optimal control; optimization
Bidual and canonical embedding	Definition	Functional analysis
f-ring	Definition	Order, lattices, ordered algebraic structures
Besov space	Definition	Functional analysis
Square-integrable kernel	Definition	Integral equations
Stone algebra	Definition	Order, lattices, ordered algebraic structures
Hamilton's principle	Theorem	Mechanics of particles and systems
Fourier analysis	Concept	Harmonic analysis on Euclidean spaces
Spectrum of a ring	Concept	Algebraic geometry
Bayes risk is at most minimax risk	Proposition	Statistics
Cubic formula	Theorem	Field theory and polynomials
Integers modulo n form a cyclic group	Example	Group theory and generalizations
Whitney decomposition	Lemma	Harmonic analysis on Euclidean spaces
Chern–Weil homomorphism	Definition	Differential geometry
Complete category	Definition	Category theory; homological algebra
Carleson's theorem	Theorem	Harmonic analysis on Euclidean spaces
Godunov's scheme	Definition	Numerical analysis
Contact structure on a jet bundle	Definition	Global analysis, analysis on manifolds
Seifert–Weber space	Example	Manifolds and cell complexes
Polynomial operation	Definition	General algebraic systems
Gabriel's theorem	Theorem	Associative rings and algebras
Reflective subcategory	Concept	Category theory; homological algebra
Accessible category	Concept	Category theory; homological algebra
Sampling distribution	Definition	Statistics
Vitali covering lemma	Lemma	Measure and integration
Nikodym convergence theorem	Theorem	Measure and integration
Henstock–Kurzweil integral	Concept	Real functions
Wigner distribution function	Concept	Quantum theory
Convolution on the half-line	Concept	Integral transforms, operational calculus
Primary obstruction	Concept	Algebraic topology
Quasi-invariant measure	Concept	Measure and integration
Support function	Definition	Convex and discrete geometry
Nested radical	Example	Sequences, series, summability
Local property	Definition	Commutative algebra
Differential-algebraic system of equations	Definition	Ordinary differential equations
Dirichlet space	Definition	Functions of a complex variable
Biholomorphism	Definition	Several complex variables and analytic spaces
Noether theorems for singular integral equations	Theorem	Integral equations
Iterated kernel	Definition	Integral equations
Kan complex	Concept	Category theory; homological algebra