Every idea

Ideas 3601–3750 of 7806.

Name	Kind	Subject
Measure-preserving transformation	Definition	Measure and integration
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
Nonexistence of infinite-dimensional Lebesgue measure	Theorem	Measure and integration
Primitive polynomial over a finite field	Definition	Number theory
Cohn's irreducibility criterion	Theorem	Number theory
Schur-convex function	Definition	Real functions
Scalar curvature	Definition	Differential geometry
Dirichlet L-function	Definition	Number theory
Choquet capacity	Concept	Measure and integration
Stable homotopy category	Concept	Algebraic topology
Gauss circle problem	Problem	Number theory
Classifying space	Definition	Algebraic topology
Subnormal operator	Definition	Operator theory
Exponential map	Definition	Differential geometry
Jacobi sum	Concept	Number theory
Reflexive space	Definition	Functional analysis
Free monoid	Definition	Group theory and generalizations
Kolmogorov backward equation	Definition	Probability theory and stochastic processes
Smooth morphism of rings	Concept	Commutative algebra
Young tableau	Definition	Combinatorics
Inner regular measure	Concept	Measure and integration
Regular summability method	Concept	Sequences, series, summability
Integrally closed domain	Definition	Commutative algebra
Osgood uniqueness criterion	Theorem	Ordinary differential equations
Markov kernel	Concept	Probability theory and stochastic processes
Homogeneous polynomial	Concept	Commutative algebra
Ordinal arithmetic	Definition	Mathematical logic and foundations
Artin's induction theorem	Theorem	Group theory and generalizations
Vietoris topology	Definition	General topology
Well-formed formula	Definition	Mathematical logic and foundations
Geodesic	Definition	Differential geometry
Bergman space	Concept	Functions of a complex variable
Köthe–Toeplitz dual	Definition	Functional analysis
Montel space	Definition	Functional analysis
Hilbert matrix	Example	Linear and multilinear algebra; matrix theory
Homotopy	Definition	Algebraic topology
Martingale representation theorem	Theorem	Probability theory and stochastic processes
Inaccessible cardinal	Definition	Mathematical logic and foundations
Theta function	Concept	Number theory
Green's function for the Laplacian	Definition	Potential theory
Von Neumann's theorem on self-adjoint extensions	Theorem	Operator theory
Conformal modulus	Concept	Functions of a complex variable
Integral quadratic form	Concept	Number theory
Absolutely continuous measure	Definition	Measure and integration
Lagrange resolvent	Concept	Field theory and polynomials
Reeb vector field	Definition	Differential geometry
Whitney embedding theorem	Theorem	Manifolds and cell complexes
Projective determinacy	Concept	Mathematical logic and foundations
Nilpotency class	Definition	Group theory and generalizations
Finite projective plane	Object	Geometry
Infinite product measure	Concept	Measure and integration
Itô's lemma	Theorem	Probability theory and stochastic processes
Stochastic geometry	Concept	Probability theory and stochastic processes
Cauchy matrix	Definition	Linear and multilinear algebra; matrix theory
Loop space	Concept	Algebraic topology
Weyl's law	Theorem	Partial differential equations
Nilradical	Definition	Commutative algebra
Amalgamation property	Definition	Mathematical logic and foundations
Hypergraph	Definition	Combinatorics
Unconditional convergence	Concept	Sequences, series, summability
Eberlein–Šmulian theorem	Theorem	Functional analysis
Space of convergent sequences c	Example	Functional analysis
Relaxation oscillation	Concept	Ordinary differential equations
Linear logic	Concept	Mathematical logic and foundations
Rectifiable set	Definition	Measure and integration
Hahn decomposition theorem	Theorem	Measure and integration
Jordan–Brouwer separation theorem	Theorem	Algebraic topology
Étale morphism of rings	Definition	Commutative algebra
Prüfer domain	Concept	Commutative algebra
Ehrenfeucht–Fraïssé game	Concept	Mathematical logic and foundations
Point spectrum	Definition	Operator theory
Poisson bracket	Concept	Differential geometry
Field of formal Laurent series	Definition	Commutative algebra
Chinese restaurant process	Example	Probability theory and stochastic processes
Classification of surfaces	Theorem	Manifolds and cell complexes
Geometric group theory	Concept	Group theory and generalizations
Monotone class theorem	Theorem	Measure and integration
Balanced set	Concept	Functional analysis
Beurling's theorem	Theorem	Operator theory
Method of multiple scales	Concept	Ordinary differential equations
Absorbing set	Definition	Functional analysis
Matlis duality	Theorem	Commutative algebra
Fredholm index	Concept	Operator theory
Suspension	Definition	Algebraic topology
I-adic topology	Concept	Commutative algebra
Noetherian topological space	Concept	General topology
Dense linear order	Example	Mathematical logic and foundations
Completion of a normed space	Concept	Functional analysis
Ideal of compact operators	Concept	Operator theory
Heegaard Floer homology	Concept	Manifolds and cell complexes
Z* theorem	Theorem	Group theory and generalizations
Knot group	Definition	Manifolds and cell complexes
Cartan formula	Theorem	Algebraic topology
Relative homotopy group	Definition	Algebraic topology
Milnor K-theory	Concept	K-theory
Singular function	Definition	Real functions
Lebesgue measure	Object	Measure and integration
Schwartz kernel theorem	Theorem	Functional analysis
Kirszbraun theorem	Theorem	Real functions
Lyapunov's convexity theorem	Theorem	Measure and integration
Chromatic homotopy theory	Concept	Algebraic topology
Time-scale calculus	Concept	Real functions
Artin–Rees lemma	Lemma	Commutative algebra
Toda bracket	Concept	Algebraic topology
Perfect map	Definition	General topology
Restriction of a measure	Definition	Measure and integration
Nevanlinna characteristic	Definition	Functions of a complex variable
Sylvester equation	Definition	Linear and multilinear algebra; matrix theory
Stationary process	Definition	Probability theory and stochastic processes
Jones index theorem	Theorem	Functional analysis
Lorentz space	Concept	Functional analysis
Outer regular measure	Concept	Measure and integration
Casson invariant	Concept	Manifolds and cell complexes
Cauchy–Pompeiu formula	Theorem	Functions of a complex variable
Slowly varying function	Definition	Real functions
Donaldson's theorem	Theorem	Manifolds and cell complexes
Moore space	Definition	General topology
Compactification	Definition	General topology
Jacobi's formula	Theorem	Linear and multilinear algebra; matrix theory
Hadwiger conjecture	Conjecture	Combinatorics
Hyponormal operator	Concept	Operator theory
Proper forcing axiom	Concept	Mathematical logic and foundations
Lovász local lemma	Lemma	Combinatorics
Thue equation	Definition	Number theory
Current	Concept	Calculus of variations and optimal control; optimization
Weierstrass elliptic function	Object	Special functions
Conway groups	Object	Group theory and generalizations
Dini derivative	Concept	Real functions
Cuntz algebra	Example	Functional analysis
Choquet integral	Concept	Measure and integration
Suzuki groups	Object	Group theory and generalizations
Selmer group	Concept	Number theory
Extremally disconnected space	Concept	General topology
Resurgent function	Concept	Ordinary differential equations
Hasse–Weil zeta function	Concept	Algebraic geometry
Hyperconnected space	Concept	General topology
Minkowski functional	Definition	Functional analysis
Sporadic group	Definition	Group theory and generalizations
Quasiconvex function	Definition	Real functions
Symbolic method	Definition	Combinatorics
Delay differential equation	Concept	Ordinary differential equations
Small cancellation theory	Concept	Group theory and generalizations
A translation of the integers is not a homomorphism	Example	Group theory and generalizations
Henselian field	Concept	Field theory and polynomials
Regulator of a number field	Definition	Number theory
Triangular matrix	Definition	Linear and multilinear algebra; matrix theory
Betti numbers of a module	Concept	Commutative algebra
Probabilistic method	Concept	Combinatorics