Every idea

Ideas 8551–8700 of 14183.

Name	Kind	Subject
Infinitary logic	Definition	Mathematical logic and foundations
Quantum group	Definition	Associative rings and algebras
Spectral triple	Concept	Global analysis, analysis on manifolds
Étale morphism of rings	Concept	Commutative algebra
Birth–death process	Definition	Probability theory and stochastic processes
Riccati differential equation of optimal control	Definition	Calculus of variations and optimal control; optimization
Griffiths positivity	Concept	Several complex variables and analytic spaces
Entourage	Concept	General topology
Topology of pointwise convergence	Concept	General topology
Gage–Hamilton–Grayson theorem	Theorem	Differential geometry
Boolean-valued model	Concept	Mathematical logic and foundations
Hahn embedding theorem	Theorem	Order, lattices, ordered algebraic structures
Fokker–Planck equation	Concept	Partial differential equations
de Rham curve	Example	Difference and functional equations
Lambert W function	Concept	Special functions
Positive element	Definition	Functional analysis
Galois connection between subgroups and subfields	Definition	Field theory and polynomials
Kuratowski closure axioms	Definition	General topology
Casson invariant	Definition	Manifolds and cell complexes
Schubert calculus	Concept	Algebraic geometry
Complete category	Concept	Category theory; homological algebra
Almost split sequence	Definition	Associative rings and algebras
Karamata's inequality	Theorem	Real functions
Integral equation of the first kind	Definition	Integral equations
Net	Definition	General topology
Kleene's T predicate	Definition	Mathematical logic and foundations
Variational integrator	Definition	Numerical analysis
Little cubes operad	Example	Category theory; homological algebra
Quasifield	Definition	Field theory and polynomials
Bayes risk	Definition	Statistics
Irreducible representation	Concept	Group theory and generalizations
Rauch comparison theorem	Theorem	Differential geometry
Bipolar theorem	Theorem	Functional analysis
Freyd's adjoint functor theorem	Theorem	Category theory; homological algebra
Variety of groups	Example	Group theory and generalizations
Biholomorphism	Concept	Several complex variables and analytic spaces
Statistical inference	Definition	Statistics
Net of a polyhedron	Concept	Convex and discrete geometry
Radon measure	Definition	Measure and integration
Discrete wavelet transform	Definition	Harmonic analysis on Euclidean spaces
Normal coordinates	Definition	Differential geometry
Autoregressive model	Definition	Statistics
Horner's method	Concept	Computer science
Concrete category	Concept	Category theory; homological algebra
Frostman lemma	Lemma	Measure and integration
Ext functor	Definition	Commutative algebra
Phragmén–Lindelöf principle	Theorem	Functions of a complex variable
Morita equivalence of Lie groupoids	Concept	Topological groups, Lie groups
Lindström's theorem	Theorem	Mathematical logic and foundations
Farkas' lemma	Lemma	Operations research, mathematical programming
Semistable reduction theorem	Theorem	Algebraic geometry
Pseudospectral optimal control	Concept	Calculus of variations and optimal control; optimization
Well-posed problem	Definition	Partial differential equations
Matched Z-transform method	Definition	Systems theory; control
Zariski tangent space	Definition	Algebraic geometry
Baire property	Concept	General topology
Zassenhaus neighbourhood	Concept	Topological groups, Lie groups
Christoffel symbols	Concept	Differential geometry
Prime decomposition of 3-manifolds	Theorem	Manifolds and cell complexes
Trigonometric series	Concept	Harmonic analysis on Euclidean spaces
Peridynamics	Example	Mechanics of deformable solids
Character of an abelian group	Definition	Abstract harmonic analysis
Theory	Definition	Mathematical logic and foundations
Gauss's principle of least constraint	Fact	Mechanics of particles and systems
Fredholm map	Definition	Global analysis, analysis on manifolds
Integral equation	Definition	Integral equations
Cellular approximation theorem	Theorem	Manifolds and cell complexes
Simple module	Concept	Associative rings and algebras
Nonstandard analysis	Definition	Real functions
Koenigs linearization theorem	Theorem	Dynamical systems and ergodic theory
Inversion in a circle	Definition	Geometry
Ideal quotient	Definition	Commutative algebra
Minimum-variance unbiased estimator	Definition	Statistics
Gauss–Seidel method	Theorem	Numerical analysis
Least harmonic majorant	Concept	Potential theory
Wirtinger's inequality for functions	Theorem	Real functions
Frattini subgroup	Definition	Group theory and generalizations
Subobject	Definition	Category theory; homological algebra
Integral closure	Concept	Commutative algebra
Strip of convergence of the bilateral transform	Definition	Integral transforms, operational calculus
Nevanlinna theory in several variables	Definition	Several complex variables and analytic spaces
Dilogarithm	Concept	Special functions
Barycentric coordinates	Concept	Geometry
Butterfly effect	Concept	Dynamical systems and ergodic theory
Min-max theorem	Theorem	Calculus of variations and optimal control; optimization
Fourier series	Concept	Harmonic analysis on Euclidean spaces
Smale's problems on dynamics	Problem	Dynamical systems and ergodic theory
Cramér–von Mises criterion	Concept	Statistics
Spencer cohomology	Definition	Global analysis, analysis on manifolds
Method of steps	Definition	Ordinary differential equations
Orthomodular lattice	Definition	Order, lattices, ordered algebraic structures
James's theorem	Theorem	Functional analysis
Fisher information	Concept	Statistics
Section and retraction	Definition	Category theory; homological algebra
Davis's converse of the Knaster–Tarski theorem	Theorem	Order, lattices, ordered algebraic structures
Sign test	Definition	Statistics
Quasisymmetric map	Concept	Functions of a complex variable
Crossed product algebra	Concept	Associative rings and algebras
Post algebra	Definition	Order, lattices, ordered algebraic structures
Modular representation theory	Concept	Group theory and generalizations
Dolbeault isomorphism	Theorem	Several complex variables and analytic spaces
Locale	Concept	Order, lattices, ordered algebraic structures
Cycle double cover conjecture	Conjecture	Combinatorics
Monotone convergence theorem	Theorem	Measure and integration
Bayesian network	Definition	Statistics
Nagell–Lutz theorem	Theorem	Number theory
Lax pair	Concept	Dynamical systems and ergodic theory
Polynomially convex set	Definition	Several complex variables and analytic spaces
Bounded sequences ℓ∞	Example	Functional analysis
Morita invariant	Definition	Associative rings and algebras
Sketch	Definition	Category theory; homological algebra
Spectral space	Concept	General topology
Volterra operator	Example	Integral equations
Hirzebruch–Riemann–Roch theorem	Theorem	Algebraic geometry
Dirichlet boundary condition	Definition	Ordinary differential equations
Nondegenerate critical point	Definition	Manifolds and cell complexes
Cohn localization	Concept	Associative rings and algebras
Lefschetz fixed-point theorem	Theorem	Algebraic topology
Bridge number	Concept	Manifolds and cell complexes
Erdős–Anning theorem	Theorem	Convex and discrete geometry
Banach lattice	Definition	Functional analysis
Deficiency indices	Concept	Operator theory
Abel's integral equation	Example	Integral equations
Homotopy lifting property	Concept	Algebraic topology
Gabor frame	Definition	Harmonic analysis on Euclidean spaces
Hilbert's inequality	Theorem	Real functions
Hurwitz zeta function	Concept	Number theory
Art gallery theorem	Theorem	Convex and discrete geometry
Residue field of a point	Concept	Algebraic geometry
Coherent sheaf	Definition	Algebraic geometry
Lattice-ordered group	Definition	Order, lattices, ordered algebraic structures
Hodge Laplacian	Definition	Global analysis, analysis on manifolds
Thie's theorem on multiplicity	Theorem	Several complex variables and analytic spaces
Sequence space	Definition	Functional analysis
Proof that groups of prime order are cyclic	Proof	Group theory and generalizations
Purely transcendental extension	Concept	Field theory and polynomials
Upwind scheme	Definition	Numerical analysis
Group	Concept	Group theory and generalizations
Ramsey theory	Concept	Combinatorics
Convergence in measure	Concept	Measure and integration
Set of uniqueness	Definition	Harmonic analysis on Euclidean spaces
Coxeter group	Concept	Group theory and generalizations
Affine group	Concept	Geometry
Singular perturbation	Concept	Ordinary differential equations
Martin kernel	Definition	Potential theory
Kruskal–Katona theorem	Theorem	Combinatorics
Second-order logic	Concept	Mathematical logic and foundations
Inner model	Concept	Mathematical logic and foundations
Rotation number	Definition	Dynamical systems and ergodic theory
abc conjecture	Conjecture	Number theory