Every idea

Ideas 6151–6300 of 14183.

Name	Kind	Subject
Mackey machine	Definition	Topological groups, Lie groups
Filtered category	Concept	Category theory; homological algebra
Uhlenbeck compactness theorem	Theorem	Global analysis, analysis on manifolds
Difference quotient	Definition	Real functions
Principal bundle	Definition	Algebraic topology
Cauchy–Kovalevskaya theorem	Theorem	Partial differential equations
Compact operator	Definition	Operator theory
Čech cohomology	Concept	Algebraic topology
Comonad	Concept	Category theory; homological algebra
Final topology	Definition	General topology
Sub-Riemannian manifold	Concept	Differential geometry
Exponential sum	Concept	Number theory
Ackermann function is not primitive recursive	Theorem	Mathematical logic and foundations
Baker–Pixley theorem	Theorem	General algebraic systems
Schwarz alternating method	Theorem	Numerical analysis
Multicategory	Definition	Category theory; homological algebra
Structure	Concept	Mathematical logic and foundations
Prime ideal of a lattice	Definition	Order, lattices, ordered algebraic structures
Sublinear function	Definition	Functional analysis
Majority term	Concept	General algebraic systems
F-algebra	Definition	Category theory; homological algebra
Finite element method	Concept	Numerical analysis
Foliation	Concept	Manifolds and cell complexes
Thom–Sebastiani theorem	Theorem	Several complex variables and analytic spaces
Rational singularity	Concept	Algebraic geometry
Weyl algebra	Concept	Associative rings and algebras
Positive harmonic function	Definition	Potential theory
Group action on a variety	Definition	Algebraic geometry
Admissible function	Definition	Calculus of variations and optimal control; optimization
Esakia space	Concept	Order, lattices, ordered algebraic structures
Riesz space	Concept	Functional analysis
Chandrasekhar's H-function	Example	Integral equations
Injective hull	Definition	Commutative algebra
Weierstrass product	Definition	Functions of a complex variable
Atomistic lattice	Concept	Order, lattices, ordered algebraic structures
Lebesgue covering dimension	Definition	General topology
Polynomial greatest common divisor	Definition	Commutative algebra
Isometry of Riemannian manifolds	Definition	Differential geometry
de Boor's algorithm	Definition	Numerical analysis
Central simple algebra	Definition	Associative rings and algebras
Superadditive function	Concept	Difference and functional equations
Category of abelian groups	Example	Category theory; homological algebra
Hurwitz-stable matrix	Concept	Linear and multilinear algebra; matrix theory
Universal Horn class	Concept	Mathematical logic and foundations
Pettis integral	Concept	Measure and integration
Discrete series representation	Concept	Topological groups, Lie groups
Jacobi field	Concept	Differential geometry
Prime radical	Definition	Associative rings and algebras
Brunn–Minkowski theorem	Theorem	Convex and discrete geometry
Projective plane	Definition	Geometry
Thurston norm	Concept	Manifolds and cell complexes
Class number	Definition	Number theory
Mehler kernel	Theorem	Special functions
Height of a prime ideal	Definition	Commutative algebra
Orderable group	Concept	Group theory and generalizations
Axiom schema of replacement	Definition	Mathematical logic and foundations
Stability of a difference equation	Definition	Difference and functional equations
Coercive bilinear form	Definition	Operator theory
Maxwell's equations	Concept	Partial differential equations
Polish group	Concept	Topological groups, Lie groups
Edgeworth expansion	Theorem	Statistics
Subderivative	Concept	Real functions
Cahen–Mellin integral	Proposition	Integral transforms, operational calculus
Betweenness	Definition	Geometry
Ovoid	Definition	Geometry
Restriction conjecture	Conjecture	Harmonic analysis on Euclidean spaces
Topological vector space	Definition	Functional analysis
Simple algebra	Concept	General algebraic systems
Skew group ring	Definition	Associative rings and algebras
Solvable Lie group	Concept	Topological groups, Lie groups
Weyl's lemma	Lemma	Potential theory
Sequential analysis	Concept	Statistics
Choquet integral	Definition	Measure and integration
Scott topology	Definition	Order, lattices, ordered algebraic structures
Dirichlet L-function	Concept	Number theory
Minimax estimator	Definition	Statistics
Crofton formula	Theorem	Differential geometry
Finite morphism of rings	Definition	Commutative algebra
Levitzki radical	Concept	Associative rings and algebras
Ehrhart polynomial	Concept	Convex and discrete geometry
Zeros and poles	Definition	Functions of a complex variable
Incidence matrix	Concept	Combinatorics
Lie supergroup	Concept	Global analysis, analysis on manifolds
Ginzburg–Landau equation	Definition	Partial differential equations
Nested dissection	Theorem	Numerical analysis
Whittaker function	Definition	Special functions
Intersection theory	Definition	Algebraic geometry
Sullivan conjecture	Theorem	Algebraic topology
Bourbaki–Witt theorem	Theorem	Order, lattices, ordered algebraic structures
Internal set theory	Definition	Mathematical logic and foundations
Way-below relation	Definition	Order, lattices, ordered algebraic structures
Geometric invariant theory	Concept	Algebraic geometry
Continuous functional calculus	Definition	Functional analysis
Permutation group	Definition	Group theory and generalizations
Cumulant	Concept	Probability theory and stochastic processes
Multiplication operator	Example	Operator theory
Compact element	Concept	Order, lattices, ordered algebraic structures
Drazin inverse	Concept	Linear and multilinear algebra; matrix theory
Calabi flow	Concept	Differential geometry
Derivative of a convolution	Proposition	Integral transforms, operational calculus
Spherical trigonometry	Definition	Geometry
Idempotence	Concept	General algebraic systems
Gelfand–Naimark–Segal construction	Concept	Functional analysis
Monoid object	Concept	Category theory; homological algebra
Laplace's method	Concept	Approximations and expansions
Summation by parts	Theorem	Difference and functional equations
Series-parallel partial order	Definition	Order, lattices, ordered algebraic structures
Algebraic surface	Definition	Algebraic geometry
Hausdorff paradox	Counterexample	Measure and integration
Loewner order	Concept	Linear and multilinear algebra; matrix theory
Idele class group	Concept	Number theory
Monotone likelihood ratio	Definition	Statistics
Δ-system lemma	Lemma	Mathematical logic and foundations
Convergence of filters	Definition	General topology
Keller's conjecture	Theorem	Convex and discrete geometry
Jacobian variety	Definition	Algebraic geometry
Cahn–Hilliard equation	Definition	Partial differential equations
Cobweb plot	Definition	Dynamical systems and ergodic theory
Congruence-distributive variety	Concept	General algebraic systems
Join-prime element	Concept	Order, lattices, ordered algebraic structures
Laver table	Example	Group theory and generalizations
Completely normal space	Concept	General topology
Meijer G-function transforms	Definition	Integral transforms, operational calculus
Dawson function	Definition	Special functions
Diffusion process	Concept	Probability theory and stochastic processes
Strongly pseudoconvex domain	Definition	Several complex variables and analytic spaces
Perturbation theory of linear operators	Definition	Operator theory
Nullary operation	Concept	General algebraic systems
Locally finite poset	Definition	Order, lattices, ordered algebraic structures
Cauchy's logarithmic equation	Concept	Difference and functional equations
Moving least squares	Definition	Numerical analysis
Pontryagin–Thom construction	Concept	Manifolds and cell complexes
Rader's FFT algorithm	Theorem	Numerical analysis
Spectral sequence	Definition	Category theory; homological algebra
Continuous group homomorphism	Concept	Topological groups, Lie groups
Beltrami equation	Concept	Functions of a complex variable
Homology of a chain complex	Definition	Category theory; homological algebra
Sample mean and sample covariance	Definition	Statistics
Kummer's test	Theorem	Sequences, series, summability
Smoluchowski coagulation equation	Example	Integral equations
Gibbs phenomenon	Definition	Harmonic analysis on Euclidean spaces
Hilbert C*-module	Definition	Functional analysis
Banach manifold	Concept	Global analysis, analysis on manifolds
Favard constant	Concept	Approximations and expansions
Nevanlinna theory of difference equations	Concept	Difference and functional equations
Tightness of measures	Definition	Probability theory and stochastic processes
Induced representation	Definition	Group theory and generalizations
Serre fibration	Definition	Algebraic topology
Rng	Definition	Associative rings and algebras
Second fundamental form	Concept	Differential geometry