Every idea

Ideas 11701–11850 of 14183.

Name	Kind	Subject
Differential Galois theory	Definition	Field theory and polynomials
Singular simplicial set	Concept	Algebraic topology
Regulator of a number field	Concept	Number theory
Lebesgue constants of the Dirichlet kernel	Proposition	Harmonic analysis on Euclidean spaces
Zeilberger's algorithm	Definition	Special functions
Church–Turing thesis	Concept	Mathematical logic and foundations
Noncommutative geometry	Definition	Global analysis, analysis on manifolds
Serre's modularity conjecture	Theorem	Number theory
Random ordinary differential equation	Concept	Ordinary differential equations
Dynkin quiver	Definition	Associative rings and algebras
Dirichlet distribution	Example	Probability theory and stochastic processes
Pfaffian system	Concept	Global analysis, analysis on manifolds
Fundamental theorem of calculus for Lebesgue integrals	Theorem	Real functions
Continuous lattice	Concept	Order, lattices, ordered algebraic structures
Discrete-time Fourier transform	Concept	Harmonic analysis on Euclidean spaces
Heyting arithmetic	Definition	Mathematical logic and foundations
Locally cyclic group	Concept
Phase space	Definition	Ordinary differential equations
Bluestein's FFT algorithm	Theorem	Numerical analysis
Kurosh subgroup theorem	Theorem	Group theory and generalizations
Riemann–Hilbert problem	Problem	Functions of a complex variable
Height function	Definition	Number theory
Euler's theorem on normal curvatures	Theorem	Differential geometry
Adjunction formula	Theorem	Algebraic geometry
Calderón–Zygmund estimates	Theorem	Partial differential equations
Infinite product	Definition	Sequences, series, summability
Nef line bundle	Concept	Algebraic geometry
Contingency table	Definition	Statistics
An infinite product converges iff its series of logarithms converges	Proposition	Sequences, series, summability
Schauder basis	Definition	Functional analysis
Abel–Poisson summation of Fourier series	Concept	Harmonic analysis on Euclidean spaces
Cramér's theorem	Theorem	Probability theory and stochastic processes
Zak transform	Concept	Harmonic analysis on Euclidean spaces
Nilpotent Lie group	Definition	Topological groups, Lie groups
Median algebra as a ternary algebra	Example	General algebraic systems
Mean-field game	Definition	Game theory, economics, finance, and other social and behavioral sciences
Dehn invariant	Concept	Convex and discrete geometry
Seifert–van Kampen theorem	Theorem	Manifolds and cell complexes
Erdős–Rado theorem	Theorem	Mathematical logic and foundations
Oka principle	Theorem	Several complex variables and analytic spaces
Uncertainty principle in Fourier analysis	Theorem	Harmonic analysis on Euclidean spaces
Exact functor	Concept	Category theory; homological algebra
Kirchhoff's matrix tree theorem	Theorem	Combinatorics
Quintic equation	Example	Field theory and polynomials
Fundamental group	Concept	Algebraic topology
Octonionic projective plane	Example	Geometry
Tessellation	Definition	Convex and discrete geometry
Optimal control of partial differential equations	Concept	Calculus of variations and optimal control; optimization
Suspension flow	Definition	Dynamical systems and ergodic theory
Minimal prime ideal	Concept	Commutative algebra
Karoubi envelope	Concept	Category theory; homological algebra
Minlos theorem	Theorem	Measure and integration
Schlegel diagram	Concept	Convex and discrete geometry
Socle of a module	Concept	Associative rings and algebras
Affine plane over a finite field	Example	Geometry
Hardy spaces of harmonic functions	Definition	Potential theory
Hopf's formula	Theorem	Group theory and generalizations
Axiom A	Definition	Dynamical systems and ergodic theory
Sheaf of modules	Concept	Algebraic geometry
Polyconvexity	Definition	Calculus of variations and optimal control; optimization
Localization of a module	Definition	Commutative algebra
Circle packing	Concept	Convex and discrete geometry
Hereditary ring	Definition	Associative rings and algebras
Fourier series	Definition	Harmonic analysis on Euclidean spaces
Zero divisors are the union of associated primes	Theorem	Commutative algebra
Countably compact space	Concept	General topology
Mixing	Concept	Dynamical systems and ergodic theory
Birkhoff sum and average	Definition	Dynamical systems and ergodic theory
Grothendieck topos	Concept	Category theory; homological algebra
Kernel	Concept	Category theory; homological algebra
Submanifold	Definition	Global analysis, analysis on manifolds
Comonad	Definition	Category theory; homological algebra
Levi-flat hypersurface	Concept	Several complex variables and analytic spaces
Tsirelson space	Example	Functional analysis
Torsion of a curve	Concept	Differential geometry
Radical ideal	Concept	Commutative algebra
Silverman–Toeplitz theorem	Theorem	Sequences, series, summability
Stone's representation theorem for Boolean algebras	Theorem	Order, lattices, ordered algebraic structures
Quasiconvex function	Concept	Real functions
Hecke operator	Concept	Number theory
Rankine–Hugoniot conditions	Theorem	Partial differential equations
Product	Concept	Category theory; homological algebra
Hochschild homology	Concept	Associative rings and algebras
Period-doubling bifurcation	Definition	Dynamical systems and ergodic theory
Haar measure on a Lie group	Definition	Topological groups, Lie groups
Group of Lie type	Definition	Group theory and generalizations
Fox H-function transforms	Concept	Integral transforms, operational calculus
Skew polynomial ring	Concept	Associative rings and algebras
Fiber product of schemes	Definition	Algebraic geometry
Shanks transformation	Definition	Numerical analysis
Relaxation of a variational problem	Definition	Calculus of variations and optimal control; optimization
Unique factorization of ideals in a Dedekind domain	Theorem	Commutative algebra
Survival analysis	Definition	Statistics
Arithmetic progression	Example	Number theory
Hardy's inequality	Theorem	Real functions
Bidiagonalization	Theorem	Numerical analysis
Class operators H S P	Concept	General algebraic systems
Green's relations	Concept	Group theory and generalizations
Operator space	Definition	Operator theory
Riccati difference equation	Definition	Difference and functional equations
Toda bracket	Definition	Algebraic topology
Incidence structure	Definition	Geometry
Principal symbol of an operator on a manifold	Concept	Global analysis, analysis on manifolds
Laplace's equation	Concept	Partial differential equations
Brown–Peterson cohomology	Concept	Algebraic topology
Persistent homology	Concept	Algebraic topology
Foliation	Definition	Manifolds and cell complexes
Selberg integral	Theorem	Special functions
Prime model	Concept	Mathematical logic and foundations
Chebyshev's sum inequality	Theorem	Real functions
Divisible group	Definition	Group theory and generalizations
Fatou's lemma	Lemma	Measure and integration
Fast Fourier transform	Theorem	Numerical analysis
Wave equation	Definition	Partial differential equations
Conjugate prior	Definition	Statistics
Muckenhoupt's theorem	Theorem	Harmonic analysis on Euclidean spaces
Kleene's T predicate	Concept	Mathematical logic and foundations
Category of elements	Concept	Category theory; homological algebra
Lambek's lemma	Lemma	Category theory; homological algebra
Herglotz–Riesz kernel	Definition	Potential theory
Kummer's transformation	Theorem	Special functions
Residuated lattice	Definition	Order, lattices, ordered algebraic structures
Priestley duality	Theorem	Order, lattices, ordered algebraic structures
Weak solution	Definition	Partial differential equations
Reduced homology	Definition	Algebraic topology
Einstein–Hilbert action	Definition	Relativity and gravitational theory
Real form of a Lie group	Concept	Topological groups, Lie groups
Mellin transform of a theta series and the zeta function	Example	Number theory
Model predictive control	Definition	Systems theory; control
Clifford theory	Theorem	Group theory and generalizations
Homological algebra	Concept	Category theory; homological algebra
Frame operator	Definition	Harmonic analysis on Euclidean spaces
Moore plane	Counterexample	General topology
Variety of algebras	Definition	General algebraic systems
Kolmogorov–Smirnov test	Definition	Statistics
Lp space	Concept	Functional analysis
Quaternionic analysis	Concept	Functions of a complex variable
Artin group	Concept	Group theory and generalizations
Lebesgue differentiation theorem	Theorem	Measure and integration
Injective tensor product	Definition	Functional analysis
MUSCL scheme	Definition	Numerical analysis
Modification of a complex space	Concept	Several complex variables and analytic spaces
Denjoy–Carleman–Ahlfors theorem	Theorem	Functions of a complex variable
Quasiconformal mapping	Concept	Functions of a complex variable
Weyl–von Neumann theorem	Theorem	Operator theory
Binary quadratic form	Concept	Number theory
Koenigs function	Definition	Functions of a complex variable
Weyl tensor	Concept	Differential geometry
Marsden–Weinstein reduction	Concept	Differential geometry
Control system	Definition	Systems theory; control