Every idea

Ideas 3751–3900 of 14183.

Name	Kind	Subject
Optimal truncation	Concept	Approximations and expansions
Perfect graph	Concept	Combinatorics
Continuous additive functions are linear	Theorem	Difference and functional equations
Separably generated extension	Concept	Field theory and polynomials
Energy of a measure	Definition	Potential theory
Dedekind number	Definition	Order, lattices, ordered algebraic structures
Dedekind domain	Definition	Commutative algebra
Regular chain	Concept	Commutative algebra
Topological group structure of a vector space	Definition	Functional analysis
Characteristic of a field	Concept	Field theory and polynomials
Order (ring theory)	Concept	Associative rings and algebras
Standard part function	Concept	Real functions
Shelf	Definition	Group theory and generalizations
Dual cone	Definition	Convex and discrete geometry
Milnor number	Concept	Several complex variables and analytic spaces
Split exact sequence	Concept	Category theory; homological algebra
Sequential analysis	Definition	Statistics
Radon–Nikodym theorem	Theorem	Measure and integration
Locally path-connected space	Concept	General topology
Clarke generalized gradient	Concept	Calculus of variations and optimal control; optimization
Berger's classification of holonomy groups	Theorem	Differential geometry
Self-similar measure	Definition	Measure and integration
Artinian ring	Concept	Commutative algebra
Shell theorem	Theorem	Potential theory
Locally compact group	Definition	Topological groups, Lie groups
Paley–Zygmund inequality	Theorem	Probability theory and stochastic processes
Homotopy groups of spheres	Definition	Algebraic topology
Crossing number	Definition	Manifolds and cell complexes
Grothendieck's Galois theory	Definition	Field theory and polynomials
Devaney chaos	Concept	Dynamical systems and ergodic theory
Elementary substructure	Definition	Mathematical logic and foundations
Tricomi equation	Concept	Partial differential equations
Period-doubling cascade	Definition	Dynamical systems and ergodic theory
Zassenhaus lemma	Lemma	Group theory and generalizations
Bayesian network	Concept	Statistics
Ergodic decomposition	Theorem	Dynamical systems and ergodic theory
Convex combination	Concept	Convex and discrete geometry
Sweedler notation	Definition	Associative rings and algebras
Heegner point	Concept	Number theory
Wiener process	Concept	Probability theory and stochastic processes
Jung's theorem	Theorem	Convex and discrete geometry
Hilbert–Samuel function	Definition	Commutative algebra
Complete measure	Concept	Measure and integration
Ideal sheaf	Definition	Algebraic geometry
Euler–Maruyama method	Concept	Numerical analysis
Gaussian process	Concept	Probability theory and stochastic processes
Weyl character formula for compact groups	Theorem	Topological groups, Lie groups
Quotient category	Definition	Category theory; homological algebra
Measure-preserving transformation	Definition	Measure and integration
Tricomi confluent hypergeometric function	Concept	Special functions
Formally real field	Definition	Field theory and polynomials
Lagrange interpolation	Concept	Approximations and expansions
Order of a zero or pole	Concept	Functions of a complex variable
Rubin causal model	Concept	Statistics
Nonexistence of infinite-dimensional Lebesgue measure	Theorem	Measure and integration
Primitive polynomial over a finite field	Definition	Number theory
Fundamental theorem of Γ-convergence	Theorem	Calculus of variations and optimal control; optimization
Thom's classification of elementary catastrophes	Theorem	Global analysis, analysis on manifolds
Fredholm theory	Concept	Integral equations
Cohn's irreducibility criterion	Theorem	Number theory
Serial ring	Definition	Associative rings and algebras
Schur-convex function	Definition	Real functions
Scalar curvature	Definition	Differential geometry
Expansion of iterated differences in shifts	Proposition	Difference and functional equations
Dirichlet L-function	Definition	Number theory
Urysohn integral equation	Definition	Integral equations
Conjugate residual method	Theorem	Numerical analysis
Sinai–Ruelle–Bowen measure	Concept	Dynamical systems and ergodic theory
Delaunay triangulation	Concept	Convex and discrete geometry
Choquet capacity	Concept	Measure and integration
Gelfand's problem on the index	Problem	Global analysis, analysis on manifolds
Schur test	Theorem	Integral equations
Strictly convex set	Definition	Convex and discrete geometry
Kolmogorov's everywhere divergent Fourier series	Counterexample	Harmonic analysis on Euclidean spaces
Wilson polynomials	Definition	Special functions
Rotation group SO(3)	Example	Topological groups, Lie groups
Ball's existence theorem in nonlinear elasticity	Theorem	Mechanics of deformable solids
Low-discrepancy sequence	Definition	Number theory
Dickey–Fuller test	Concept	Statistics
Stable homotopy category	Concept	Algebraic topology
Forgetful functor	Definition	Category theory; homological algebra
Gauss circle problem	Problem	Number theory
Classifying space	Definition	Algebraic topology
Grothendieck construction	Concept	Category theory; homological algebra
Subnormal operator	Definition	Operator theory
Exponential map	Definition	Differential geometry
Complex geodesic	Concept	Several complex variables and analytic spaces
Jacobi sum	Concept	Number theory
Left-invariant vector field	Definition	Topological groups, Lie groups
Reflexive space	Definition	Functional analysis
Iterative root	Concept	Difference and functional equations
Somos sequence	Example	Number theory
Kleinian group	Concept	Functions of a complex variable
Free monoid	Definition	Group theory and generalizations
Holomorphic inverse function theorem	Theorem	Several complex variables and analytic spaces
Kolmogorov backward equation	Definition	Probability theory and stochastic processes
Smooth morphism of rings	Concept	Commutative algebra
Young tableau	Definition	Combinatorics
Maslov index	Definition	Differential geometry
Minimal curvature property of natural cubic splines	Theorem	Approximations and expansions
Tautological line bundle	Definition	Algebraic geometry
Inner regular measure	Concept	Measure and integration
Words and profiles	Concept	Combinatorics
Functor	Concept	Category theory; homological algebra
Order type	Definition	Order, lattices, ordered algebraic structures
Fractional Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Ind-completion	Definition	Category theory; homological algebra
Koopman operator	Definition	Dynamical systems and ergodic theory
Periodic tiling	Definition	Convex and discrete geometry
Regular summability method	Concept	Sequences, series, summability
Ornstein–Zernike equation	Example	Statistical mechanics, structure of matter
Malgrange preparation theorem	Theorem	Global analysis, analysis on manifolds
Artin–Mazur zeta function	Concept	Dynamical systems and ergodic theory
Integrally closed domain	Definition	Commutative algebra
Projection method for integral equations	Concept	Integral equations
Osgood uniqueness criterion	Theorem	Ordinary differential equations
Positive linear operator	Definition	Operator theory
Markov kernel	Concept	Probability theory and stochastic processes
Adjoint representation of a Lie group	Definition	Topological groups, Lie groups
Topological transformation group	Concept	General topology
Shifted Legendre polynomials	Definition	Special functions
Admissibility condition for wavelets	Concept	Harmonic analysis on Euclidean spaces
Permuting congruences	Concept	General algebraic systems
Unitary dual	Definition	Topological groups, Lie groups
Universal coalgebra	Concept	General algebraic systems
Factor congruence	Definition	General algebraic systems
Herbrand universe	Example	Mathematical logic and foundations
Grätzer–Schmidt theorem	Theorem	General algebraic systems
Operational calculus	Definition	Integral transforms, operational calculus
Homogeneous polynomial	Concept	Commutative algebra
Ordinal arithmetic	Definition	Mathematical logic and foundations
Semiperfect ring	Definition	Associative rings and algebras
Artin's induction theorem	Theorem	Group theory and generalizations
Vietoris topology	Definition	General topology
Well-formed formula	Definition	Mathematical logic and foundations
Discrete series representation	Definition	Topological groups, Lie groups
Cellular automaton	Definition	Dynamical systems and ergodic theory
Geodesic	Definition	Differential geometry
Grauert's Oka principle for vector bundles	Theorem	Several complex variables and analytic spaces
Category of groups	Example	Group theory and generalizations
E8 lattice	Object	Number theory
Fully nonlinear PDE	Concept	Partial differential equations
Kleene algebra	Definition	Associative rings and algebras
Function field of a variety	Concept	Algebraic geometry
Bergman space	Concept	Functions of a complex variable
Horocycle flow	Example	Dynamical systems and ergodic theory
Mathieu function	Concept	Special functions
Köthe–Toeplitz dual	Definition	Functional analysis
Montel space	Definition	Functional analysis
Koksma–Hlawka inequality	Theorem	Number theory