Every idea

Ideas 10351–10500 of 11985.

Name	Kind	Subject
Topological modular forms	Definition	Algebraic topology
Turing reduction	Definition	Mathematical logic and foundations
Steklov eigenvalue problem	Problem	Partial differential equations
Fractional calculus	Concept	Real functions
Periodic point	Concept	Dynamical systems and ergodic theory
Trigonometric integrals	Definition	Special functions
Lattice congruence	Concept	Order, lattices, ordered algebraic structures
E-infinity operad	Concept	Algebraic topology
Projective transformation	Definition	Geometry
Ordered geometry	Concept	Geometry
Generator of a semigroup	Definition	Operator theory
Stable theory	Concept	Mathematical logic and foundations
Fenchel conjugate	Concept	Convex and discrete geometry
Inner function	Definition	Functions of a complex variable
Muckenhoupt weights	Concept	Harmonic analysis on Euclidean spaces
Cobordism	Concept	Manifolds and cell complexes
Multivariate division algorithm	Concept	Commutative algebra
Residuated mapping	Definition	Order, lattices, ordered algebraic structures
Neville theta functions	Definition	Special functions
q-exponential	Concept	Combinatorics
Monodromy of the hypergeometric equation	Concept	Special functions
Bruhat decomposition	Theorem	Group theory and generalizations
Lebesgue's universal covering problem	Problem	Convex and discrete geometry
Wald test	Definition	Statistics
Outer function	Definition	Functions of a complex variable
Pontryagin–Thom construction	Definition	Manifolds and cell complexes
Szpilrajn extension theorem	Theorem	Order, lattices, ordered algebraic structures
Pointed space	Concept	Algebraic topology
Degree of a projective variety	Definition	Algebraic geometry
Factorization system	Definition	Category theory; homological algebra
Integral quadratic form	Definition	Number theory
Hölder summation	Definition	Sequences, series, summability
Reaction–diffusion system	Concept	Partial differential equations
HNN extension	Definition	Group theory and generalizations
Error-correcting code	Concept	Information and communication theory, circuits
Expansive homeomorphism	Concept	Dynamical systems and ergodic theory
Abian–Brown theorem	Theorem	Order, lattices, ordered algebraic structures
Bicategory	Concept	Category theory; homological algebra
Fractional integration	Definition	Harmonic analysis on Euclidean spaces
Tautological one-form	Definition	Differential geometry
Kawamata–Viehweg vanishing theorem	Theorem	Algebraic geometry
Integral geometry	Concept	Convex and discrete geometry
Ring of differential operators	Definition	Associative rings and algebras
Langevin equation	Definition	Probability theory and stochastic processes
Lévy–Prokhorov metric	Definition	Probability theory and stochastic processes
Direct limit	Definition	Category theory; homological algebra
Algebraic statistics	Concept	Statistics
Möbius–Kantor configuration	Example	Combinatorics
Square wave	Example	Harmonic analysis on Euclidean spaces
Gerstenhaber algebra	Definition	Nonassociative rings and algebras
Faithful module	Concept	Associative rings and algebras
Picard–Vessiot extension	Concept	Field theory and polynomials
Sheaf	Concept	General topology
Saddle-node bifurcation	Definition	Ordinary differential equations
Space form	Definition	Differential geometry
Discriminant of a field extension	Definition	Number theory
Hamburger moment problem	Problem	Integral transforms, operational calculus
Triebel–Lizorkin space	Concept	Functional analysis
Krull's height theorem	Theorem	Commutative algebra
Crown	Example	Order, lattices, ordered algebraic structures
Universal Turing machine	Object	Mathematical logic and foundations
Foster's theorem on primal algebras	Theorem	General algebraic systems
Upper nilradical	Definition	Associative rings and algebras
Systolic geometry	Definition	Differential geometry
Cotangent space of a local ring	Definition	Commutative algebra
F-coalgebra	Definition	Category theory; homological algebra
Poisson kernel	Concept	Potential theory
Ehresmann connection	Concept	Differential geometry
Coupling	Definition	Probability theory and stochastic processes
Magnus expansion	Definition	Ordinary differential equations
Backward differentiation formula	Concept	Numerical analysis
Multiple integral	Definition	Real functions
Tietze transformations	Definition	Group theory and generalizations
Peixoto's theorem	Theorem	Dynamical systems and ergodic theory
Extremal length	Definition	Functions of a complex variable
Kaplansky density theorem	Theorem	Functional analysis
Invertible ideal	Definition	Commutative algebra
Bessel function of the first kind	Definition	Special functions
Functional completeness	Concept	General algebraic systems
Tarski monster group	Object	Group theory and generalizations
Direct method in the calculus of variations	Concept	Calculus of variations and optimal control; optimization
Periodic point	Definition	Dynamical systems and ergodic theory
Hirzebruch signature theorem	Theorem	Manifolds and cell complexes
Hopf invariant	Concept	Algebraic topology
Lagrange polynomial	Definition	Approximations and expansions
Resolvent	Definition	Operator theory
Finite ring	Definition	Associative rings and algebras
Aleph number	Definition	Mathematical logic and foundations
Descriptive set theory	Concept	Mathematical logic and foundations
Exact category	Concept	Category theory; homological algebra
Pivotal quantity	Definition	Statistics
Lie sphere geometry	Concept	Geometry
Capacity of a set	Definition	Potential theory
Banach algebra	Definition	Functional analysis
Geometric realization	Concept	Algebraic topology
ℓ-adic cohomology	Definition	Algebraic geometry
Chevalley's theorem on constructible sets	Theorem	Algebraic geometry
Join-prime element	Definition	Order, lattices, ordered algebraic structures
Down-closure	Definition	Order, lattices, ordered algebraic structures
Block design	Definition	Combinatorics
Residually small variety	Concept	General algebraic systems
Proof theory	Definition	Mathematical logic and foundations
Generalized linear model	Definition	Statistics
Free category	Concept	Category theory; homological algebra
Spectral triple	Definition	Global analysis, analysis on manifolds
Paley–Wiener theorem	Theorem	Functions of a complex variable
Random graph	Definition	Combinatorics
Group scheme	Concept	Algebraic geometry
Normal form	Concept	Ordinary differential equations
The alternating group is the kernel of the sign	Example	Group theory and generalizations
Discrete Fourier transform	Definition	Numerical analysis
Finitely presented group	Concept	Group theory and generalizations
Ore condition	Concept	Associative rings and algebras
Hahn series	Definition	Commutative algebra
Hyperreal number	Definition	Real functions
Filtered category	Definition	Category theory; homological algebra
Cluster algebra	Concept	Commutative algebra
Nonharmonic Fourier series	Concept	Harmonic analysis on Euclidean spaces
Elastic net	Concept	Statistics
Taft algebra	Example	Associative rings and algebras
Schur product theorem	Theorem	Linear and multilinear algebra; matrix theory
Löwner–John theorem	Theorem	Convex and discrete geometry
Free product	Concept	Group theory and generalizations
Borel density theorem	Theorem	Topological groups, Lie groups
Boundary value problem	Concept	Ordinary differential equations
Nevanlinna class	Definition	Functions of a complex variable
Scott continuity	Definition	Order, lattices, ordered algebraic structures
Eichler order	Definition	Number theory
Degree of a continuous map	Concept	Algebraic topology
Semilocally simply connected space	Definition	Manifolds and cell complexes
Semiprimitive ring	Definition	Associative rings and algebras
Primary ideal	Concept	Commutative algebra
Iterated function system	Definition	Measure and integration
Neighborly polytope	Definition	Convex and discrete geometry
Nome	Definition	Special functions
Friendship theorem	Theorem	Combinatorics
Laplacian matrix	Concept	Combinatorics
Computably enumerable set	Concept	Mathematical logic and foundations
Formal group law in topology	Concept	Algebraic topology
Baby Monster group	Object	Group theory and generalizations
Random graph	Concept	Combinatorics
Fundamental theorem of space curves	Theorem	Differential geometry
Stable vector bundle	Definition	Algebraic geometry
Whitehead link	Example	Manifolds and cell complexes
Proper map	Definition	General topology
Fejér's theorem	Theorem	Harmonic analysis on Euclidean spaces
Axiom of dependent choice	Definition	Mathematical logic and foundations
Lang's conjectures	Conjecture	Algebraic geometry
Cyclic polytope	Definition	Convex and discrete geometry
Lemniscate elliptic functions	Concept	Special functions