Every idea

Ideas 10351–10500 of 14183.

Name	Kind	Subject
Measurable space	Concept	Measure and integration
Nonlinear integral equation	Definition	Integral equations
Minkowski inequality	Theorem	Real functions
Nest algebra	Definition	Operator theory
Ordered geometry	Definition	Geometry
Order polytope	Concept	Order, lattices, ordered algebraic structures
Space of functions vanishing at infinity	Concept	Functional analysis
Degenerate kernel	Definition	Integral equations
Polyharmonic function	Definition	Potential theory
Quotient algebra	Concept	General algebraic systems
Elliptic hypergeometric series	Definition	Special functions
The cosets of a subgroup that is not normal do not form a group	Example	Group theory and generalizations
Liouvillian function	Concept	Field theory and polynomials
Mellin transform	Concept	Integral transforms, operational calculus
Geometric morphism	Concept	Category theory; homological algebra
Divided differences	Concept	Numerical analysis
Hyperplane arrangement	Concept	Convex and discrete geometry
Smale horseshoe	Example	Dynamical systems and ergodic theory
Schur's lemma in abelian categories	Lemma	Category theory; homological algebra
Thom isomorphism	Theorem	Algebraic topology
Rounding	Definition	Numerical analysis
Algebraic statistics	Definition	Statistics
Adjunction space	Concept	General topology
Boltzmann equation	Definition	Partial differential equations
Complete reducibility of representations of compact groups	Theorem	Topological groups, Lie groups
Basic open set	Concept	Algebraic geometry
Fractional Sobolev space	Concept	Functional analysis
Perfect map	Concept	General topology
Sunflower lemma	Lemma	Combinatorics
Linearly disjoint extensions	Concept	Field theory and polynomials
Linear and stable summation methods	Concept	Sequences, series, summability
Minimal prime ideal	Definition	Commutative algebra
Gradient estimates for harmonic functions	Theorem	Potential theory
Homomorphism theorem	Theorem	General algebraic systems
Brouwer fixed-point theorem	Theorem	Algebraic topology
Shadowing lemma	Theorem	Dynamical systems and ergodic theory
Cap product	Concept	Algebraic topology
Double complex	Concept	Category theory; homological algebra
Combinatorics on words	Definition	Computer science
Lawvere's fixed-point theorem	Theorem	Category theory; homological algebra
Depth	Definition	Commutative algebra
Geometric algebra	Concept	Linear and multilinear algebra; matrix theory
Disintegration theorem	Theorem	Measure and integration
Adjoint of an unbounded operator	Definition	Operator theory
Fréchet space	Definition	Functional analysis
Hopf module	Concept	Associative rings and algebras
Stanley–Reisner ring	Definition	Commutative algebra
Cesàro summation	Concept	Sequences, series, summability
Sober space	Definition	General topology
Fefferman's theorem on extension of biholomorphisms	Theorem	Several complex variables and analytic spaces
Finite morphism	Concept	Algebraic geometry
Heteroclinic orbit	Concept	Ordinary differential equations
Term operation	Concept	General algebraic systems
Chebyshev set	Definition	Approximations and expansions
Anderson–Darling test	Concept	Statistics
Lebesgue constant	Definition	Approximations and expansions
Lacunary series	Concept	Harmonic analysis on Euclidean spaces
Idempotent semiring	Definition	Associative rings and algebras
Minimal harmonic function	Concept	Potential theory
Weighted least squares	Definition	Statistics
Positive element	Concept	Functional analysis
Minimax approximation	Definition	Approximations and expansions
Trajectory optimization	Definition	Calculus of variations and optimal control; optimization
Infinitesimal generator of a Markov process	Definition	Probability theory and stochastic processes
Quaternion-Kähler manifold	Concept	Differential geometry
Hunt's extension of Carleson's theorem	Theorem	Harmonic analysis on Euclidean spaces
Brauer's main theorems	Theorem	Group theory and generalizations
Distribution function of a measurable function	Definition	Measure and integration
Spheroidal wave function	Concept	Special functions
Osgood's lemma	Lemma	Several complex variables and analytic spaces
Sign test	Concept	Statistics
Tomita–Takesaki theory	Concept	Functional analysis
Independent component analysis	Concept	Statistics
Positive solutions of integral equations	Definition	Integral equations
Sweedler notation	Concept	Associative rings and algebras
Tate module	Definition	Algebraic geometry
Wiener's lemma	Theorem	Harmonic analysis on Euclidean spaces
Euler class	Definition	Manifolds and cell complexes
Operator system	Definition	Functional analysis
Equidistribution theorem	Theorem	Number theory
Substitution	Concept	Mathematical logic and foundations
Floer homology	Concept	Differential geometry
Quasitriangular Hopf algebra	Concept	Associative rings and algebras
Clarke generalized gradient	Definition	Calculus of variations and optimal control; optimization
Desarguesian plane	Definition	Geometry
Fourier–Motzkin elimination	Definition	Operations research, mathematical programming
Holonomic sequence	Definition	Difference and functional equations
Noetherian scheme	Concept	Algebraic geometry
Lindelöf summation	Definition	Sequences, series, summability
Lehmer's conjecture	Conjecture	Number theory
Unit in the last place	Definition	Numerical analysis
Wilkinson's polynomial	Example	Numerical analysis
Dyson conjecture	Theorem	Combinatorics
Petersson inner product	Definition	Number theory
Surface of revolution	Example	Differential geometry
Exponential family	Definition	Statistics
Algebraic cycle	Definition	Algebraic geometry
Incidence algebra	Definition	Order, lattices, ordered algebraic structures
Logarithmically convex domain	Definition	Several complex variables and analytic spaces
Influence function	Definition	Statistics
Śleszyński–Pringsheim theorem	Theorem	Sequences, series, summability
Hyperfunction	Concept	Functional analysis
Burgers' equation	Concept	Partial differential equations
Categorical logic	Concept	Mathematical logic and foundations
Bézier curve	Concept	Numerical analysis
Dulac's theorem on finiteness of limit cycles	Theorem	Ordinary differential equations
Completely positive map	Definition	Functional analysis
Monotone operator method for Hammerstein equations	Theorem	Integral equations
Premeasure	Definition	Measure and integration
Y transform	Definition	Integral transforms, operational calculus
Orlicz–Pettis theorem	Theorem	Functional analysis
Atomless Boolean algebra	Concept	Order, lattices, ordered algebraic structures
Three-term recurrence relation	Concept	Difference and functional equations
Krein space	Concept	Functional analysis
Axiom of regularity	Concept	Mathematical logic and foundations
Intersection form	Definition	Manifolds and cell complexes
Functional equation of the Riemann zeta function	Theorem	Number theory
Discriminant of a number field	Definition	Number theory
Steinhaus theorem on regular methods	Theorem	Sequences, series, summability
Survival function	Definition	Statistics
Stopped process	Concept	Probability theory and stochastic processes
Heyting algebra	Concept	Order, lattices, ordered algebraic structures
Subalgebra	Definition	Associative rings and algebras
Inverse tangent integral	Concept	Special functions
Umbilical point	Definition	Differential geometry
Kripke semantics	Concept	Mathematical logic and foundations
Swallowtail catastrophe	Example	Global analysis, analysis on manifolds
Coercive functional	Concept	Calculus of variations and optimal control; optimization
Krylov–Bogolyubov averaging	Definition	Ordinary differential equations
Well-quasi-ordering	Concept	Order, lattices, ordered algebraic structures
Radial basis function interpolation	Definition	Numerical analysis
Pfaffian	Concept	Linear and multilinear algebra; matrix theory
Partition of unity	Concept	Global analysis, analysis on manifolds
Liouville's theorem on conformal mappings	Theorem	Differential geometry
Finite geometry	Definition	Geometry
Essential spectrum	Definition	Operator theory
Poincaré homology sphere	Example	Manifolds and cell complexes
Gosper's algorithm	Concept	Special functions
Variety of lattices	Example	Order, lattices, ordered algebraic structures
Flag variety	Concept	Algebraic geometry
Heegner point	Definition	Number theory
Regular polytope	Definition	Geometry
Surgery theory	Definition	Manifolds and cell complexes
Lyapunov exponent	Concept	Ordinary differential equations
Oseledets theorem	Theorem	Dynamical systems and ergodic theory
Connection on a principal bundle	Concept	Differential geometry
Residue field	Concept	Commutative algebra
Genus	Concept	Manifolds and cell complexes
Itô calculus	Definition	Probability theory and stochastic processes
Minkowski problem	Problem	Convex and discrete geometry