Every idea

Ideas 4051–4200 of 14183.

Name	Kind	Subject
Noetherian topological space	Concept	General topology
Auslander–Reiten theory	Concept	Associative rings and algebras
Mac Lane's coherence theorem	Theorem	Category theory; homological algebra
Dense linear order	Example	Mathematical logic and foundations
Completion of a normed space	Concept	Functional analysis
Mathematical statistics	Definition	Statistics
Natural duality	Definition	General algebraic systems
Ideal of compact operators	Concept	Operator theory
Heegaard Floer homology	Concept	Manifolds and cell complexes
Prony's method	Concept	Numerical analysis
F-test	Definition	Statistics
Polylogarithm	Definition	Special functions
Z* theorem	Theorem	Group theory and generalizations
Bifurcation diagram	Concept	Dynamical systems and ergodic theory
Atomless Boolean algebra	Definition	Order, lattices, ordered algebraic structures
Laplace transform of the Dirac delta	Example	Integral transforms, operational calculus
Reductive group	Concept	Group theory and generalizations
Errors-in-variables model	Concept	Statistics
Bialgebra	Definition	Associative rings and algebras
Benamou–Brenier formula	Theorem	Calculus of variations and optimal control; optimization
Knot group	Definition	Manifolds and cell complexes
Möbius function of a poset	Concept	Order, lattices, ordered algebraic structures
Factor analysis	Definition	Statistics
Series-parallel partial order	Concept	Order, lattices, ordered algebraic structures
Todd class	Concept	Algebraic geometry
Disjoint union of posets	Definition	Order, lattices, ordered algebraic structures
Cartan formula	Theorem	Algebraic topology
Relative homotopy group	Definition	Algebraic topology
Milnor K-theory	Concept	K-theory
Singular function	Definition	Real functions
Mean curvature flow	Concept	Differential geometry
Convolution	Concept	Abstract harmonic analysis
Lebesgue measure	Object	Measure and integration
von Neumann stability analysis	Theorem	Numerical analysis
Hermitian kernel	Concept	Integral equations
Smash product	Concept	Associative rings and algebras
Wold's decomposition theorem	Theorem	Probability theory and stochastic processes
Schwartz kernel theorem	Theorem	Functional analysis
Kirszbraun theorem	Theorem	Real functions
Lyapunov's convexity theorem	Theorem	Measure and integration
Convex polytope	Concept	Convex and discrete geometry
Chromatic homotopy theory	Concept	Algebraic topology
Pseudogroup	Concept	Global analysis, analysis on manifolds
Higher-order differences	Concept	Difference and functional equations
Frame	Concept	Order, lattices, ordered algebraic structures
Time-scale calculus	Concept	Real functions
Meshfree methods	Definition	Numerical analysis
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
Stein's unbiased risk estimate	Theorem	Statistics
Sylvester equation	Definition	Linear and multilinear algebra; matrix theory
Stationary process	Definition	Probability theory and stochastic processes
Malgrange–Ehrenpreis theorem	Theorem	Partial differential equations
Demailly's regularization of currents	Theorem	Several complex variables and analytic spaces
Cauchy integral on Lipschitz curves	Theorem	Harmonic analysis on Euclidean spaces
Lanczos sigma factor	Concept	Harmonic analysis on Euclidean spaces
Jones index theorem	Theorem	Functional analysis
Clifford module	Concept	Linear and multilinear algebra; matrix theory
Angle of parallelism	Concept	Geometry
Lorentz space	Concept	Functional analysis
Heat kernel on a Riemannian manifold	Concept	Global analysis, analysis on manifolds
De Giorgi–Nash–Moser theorem	Theorem	Partial differential equations
Linear programming	Definition	Operations research, mathematical programming
Interpretation of varieties	Concept	General algebraic systems
Wigner D-matrix	Definition	Special functions
Minimal model program	Definition	Algebraic geometry
Hodge theory	Concept	Algebraic geometry
Delta functor	Concept	Category theory; homological algebra
Laguerre plane	Definition	Geometry
Poincaré's functional equation	Concept	Difference and functional equations
Outer regular measure	Concept	Measure and integration
Casson invariant	Concept	Manifolds and cell complexes
Quermassintegral	Definition	Convex and discrete geometry
Mortar methods	Concept	Numerical analysis
Transfer operator	Definition	Dynamical systems and ergodic theory
Cauchy–Pompeiu formula	Theorem	Functions of a complex variable
Slowly varying function	Definition	Real functions
Tension field	Definition	Global analysis, analysis on manifolds
Crossing number inequality	Theorem	Combinatorics
Donaldson's theorem	Theorem	Manifolds and cell complexes
Fermi–Dirac integral	Definition	Special functions
Remmert–Stein theorem	Theorem	Several complex variables and analytic spaces
Moore space	Definition	General topology
Fourier–Bessel series	Concept	Harmonic analysis on Euclidean spaces
Free algebra in a variety	Definition	General algebraic systems
Hermitian metric on a vector bundle	Definition	Several complex variables and analytic spaces
Compactification	Definition	General topology
Jacobi's formula	Theorem	Linear and multilinear algebra; matrix theory
Minakshisundaram–Pleijel zeta function	Definition	Global analysis, analysis on manifolds
Baker's finite basis theorem	Theorem	General algebraic systems
Abel–Jacobi theorem	Theorem	Algebraic geometry
Extended finite element method	Definition	Numerical analysis
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
Albert–Brauer–Hasse–Noether theorem	Theorem	Number theory
Weierstrass elliptic function	Object	Special functions
Weyl group of a compact Lie group	Definition	Topological groups, Lie groups
Conway groups	Object	Group theory and generalizations
Dini derivative	Concept	Real functions
Factorization system	Concept	Category theory; homological algebra
Matrix Lie group	Concept	Topological groups, Lie groups
Cuntz algebra	Example	Functional analysis
Choquet integral	Concept	Measure and integration
Sacks–Uhlenbeck bubbling	Theorem	Global analysis, analysis on manifolds
Dimension of an algebraic variety	Concept	Algebraic geometry
Suzuki groups	Object	Group theory and generalizations
Selmer group	Concept	Number theory
Extremally disconnected space	Concept	General topology
Well-powered category	Definition	Category theory; homological algebra
Marcinkiewicz multiplier theorem	Theorem	Harmonic analysis on Euclidean spaces
Abelian variety	Definition	Algebraic geometry
Resurgent function	Concept	Ordinary differential equations
Hasse–Weil zeta function	Concept	Algebraic geometry
Koopman operator	Concept	Dynamical systems and ergodic theory
Plateau's laws	Fact	Calculus of variations and optimal control; optimization
Profinite completion	Definition	Group theory and generalizations
Index of a singular integral operator	Definition	Integral equations
Hyperconnected space	Concept	General topology
Minkowski functional	Definition	Functional analysis
Bourget's hypothesis	Theorem	Special functions
Wilcoxon signed-rank test	Concept	Statistics
Sporadic group	Definition	Group theory and generalizations
Quasiconvex function	Definition	Real functions
Symbolic method	Definition	Combinatorics
Strong maximal function	Concept	Harmonic analysis on Euclidean spaces
Delay differential equation	Concept	Ordinary differential equations
Generic point	Concept	Algebraic geometry
Small cancellation theory	Concept	Group theory and generalizations
Higher category theory	Concept	Category theory; homological algebra
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
p-adic Lie group	Concept	Topological groups, Lie groups
Quadratic polynomial dynamics	Definition	Dynamical systems and ergodic theory
Triangular matrix	Definition	Linear and multilinear algebra; matrix theory
Maximal chain	Concept	Order, lattices, ordered algebraic structures
Stefan problem	Problem	Partial differential equations
Betti numbers of a module	Concept	Commutative algebra
Borel–Harish-Chandra theorem	Theorem	Group theory and generalizations
Probabilistic method	Concept	Combinatorics
von Neumann bounded set	Concept	Functional analysis
Twelvefold way	Definition	Combinatorics
Anger function	Definition	Special functions