Math 2.0

Definitions

One definition of a concept.

Ideas 4201–4350 of 5027.

NameKindSubject
Weak homotopy equivalenceDefinitionAlgebraic topology
String diagramDefinitionCategory theory; homological algebra
Braid groupDefinitionGroup theory and generalizations
Convergence of Fourier seriesDefinitionHarmonic analysis on Euclidean spaces
Seeley–DeWitt coefficientsDefinitionGlobal analysis, analysis on manifolds
Inner regular measureDefinitionMeasure and integration
MonomorphismDefinitionCategory theory; homological algebra
Elliptic boundary value problemDefinitionPartial differential equations
Tight frameDefinitionHarmonic analysis on Euclidean spaces
Cauchy's power equationDefinitionDifference and functional equations
Krull dimension of a posetDefinitionOrder, lattices, ordered algebraic structures
Inductive dimensionDefinitionGeneral topology
Cusp formDefinitionNumber theory
Lelong classDefinitionSeveral complex variables and analytic spaces
Isomonodromic deformationDefinitionOrdinary differential equations
Homogeneous and inhomogeneous linear recurrencesDefinitionDifference and functional equations
Kummer–Artin–Schreier–Witt theoryDefinitionField theory and polynomials
Large sieveDefinitionNumber theory
Costate equationDefinitionCalculus of variations and optimal control; optimization
ValuationDefinitionField theory and polynomials
Strict partial orderDefinitionOrder, lattices, ordered algebraic structures
Linearly disjoint extensionsDefinitionField theory and polynomials
Alexander–Spanier cohomologyDefinitionAlgebraic topology
Holonomy groupoid of a foliationDefinitionManifolds and cell complexes
Newton polytopeDefinitionAlgebraic geometry
Universal enveloping algebraDefinitionNonassociative rings and algebras
Euler characteristicDefinitionAlgebraic topology
Dual matroidDefinitionCombinatorics
Lie group method for PDEsDefinitionPartial differential equations
Caloric functionDefinitionPartial differential equations
Gaussian quadratureDefinitionNumerical analysis
Cross-validationDefinitionStatistics
SemiorderDefinitionOrder, lattices, ordered algebraic structures
Bounded posetDefinitionOrder, lattices, ordered algebraic structures
Ordinary point and singular pointDefinitionOrdinary differential equations
Fourier–Legendre seriesDefinitionHarmonic analysis on Euclidean spaces
Complemented latticeDefinitionOrder, lattices, ordered algebraic structures
Morphism of finite typeDefinitionAlgebraic geometry
Band matrixDefinitionLinear and multilinear algebra; matrix theory
Positive currentDefinitionSeveral complex variables and analytic spaces
Partial autocorrelation functionDefinitionStatistics
Mean curvatureDefinitionDifferential geometry
Rate of convergenceDefinitionSequences, series, summability
Pseudo-spectral methodDefinitionNumerical analysis
Differential fieldDefinitionField theory and polynomials
Substitution tilingDefinitionDynamical systems and ergodic theory
Primal algebraDefinitionGeneral algebraic systems
Topological data analysisDefinitionStatistics
4-manifoldDefinitionManifolds and cell complexes
Fourier series on the torusDefinitionHarmonic analysis on Euclidean spaces
Sphere packingDefinitionConvex and discrete geometry
Doléans-Dade exponentialDefinitionProbability theory and stochastic processes
Zimmer programDefinitionDynamical systems and ergodic theory
Baum–Welch algorithmDefinitionStatistics
Discrete Poisson equationDefinitionDifference and functional equations
Topological modular formsDefinitionAlgebraic topology
Turing reductionDefinitionMathematical logic and foundations
Trigonometric integralsDefinitionSpecial functions
Projective transformationDefinitionGeometry
Generator of a semigroupDefinitionOperator theory
Inner functionDefinitionFunctions of a complex variable
Residuated mappingDefinitionOrder, lattices, ordered algebraic structures
Neville theta functionsDefinitionSpecial functions
Divided differencesDefinitionNumerical analysis
Wald testDefinitionStatistics
Outer functionDefinitionFunctions of a complex variable
Pontryagin–Thom constructionDefinitionManifolds and cell complexes
Bilateral Z-transformDefinitionIntegral transforms, operational calculus
Degree of a projective varietyDefinitionAlgebraic geometry
Factorization systemDefinitionCategory theory; homological algebra
Integral quadratic formDefinitionNumber theory
Hölder summationDefinitionSequences, series, summability
HNN extensionDefinitionGroup theory and generalizations
Fractional integrationDefinitionHarmonic analysis on Euclidean spaces
Tautological one-formDefinitionDifferential geometry
Ring of differential operatorsDefinitionAssociative rings and algebras
Langevin equationDefinitionProbability theory and stochastic processes
Lévy–Prokhorov metricDefinitionProbability theory and stochastic processes
Direct limitDefinitionCategory theory; homological algebra
Gerstenhaber algebraDefinitionNonassociative rings and algebras
Saddle-node bifurcationDefinitionOrdinary differential equations
Space formDefinitionDifferential geometry
Discriminant of a field extensionDefinitionNumber theory
Levi-flat hypersurfaceDefinitionSeveral complex variables and analytic spaces
Cauchy's logarithmic equationDefinitionDifference and functional equations
Discrete Laplace operatorDefinitionDifference and functional equations
Upper nilradicalDefinitionAssociative rings and algebras
Systolic geometryDefinitionDifferential geometry
Cotangent space of a local ringDefinitionCommutative algebra
F-coalgebraDefinitionCategory theory; homological algebra
Projection method for integral equationsDefinitionIntegral equations
CouplingDefinitionProbability theory and stochastic processes
Magnus expansionDefinitionOrdinary differential equations
Multiple integralDefinitionReal functions
Tietze transformationsDefinitionGroup theory and generalizations
Extremal lengthDefinitionFunctions of a complex variable
Invertible idealDefinitionCommutative algebra
Kodaira–Spencer mapDefinitionSeveral complex variables and analytic spaces
Bessel function of the first kindDefinitionSpecial functions
Periodic pointDefinitionDynamical systems and ergodic theory
Lagrange polynomialDefinitionApproximations and expansions
ResolventDefinitionOperator theory
Finite ringDefinitionAssociative rings and algebras
Aleph numberDefinitionMathematical logic and foundations
Uniform approximationDefinitionApproximations and expansions
Pivotal quantityDefinitionStatistics
Capacity of a setDefinitionPotential theory
Banach algebraDefinitionFunctional analysis
ℓ-adic cohomologyDefinitionAlgebraic geometry
Join-prime elementDefinitionOrder, lattices, ordered algebraic structures
Down-closureDefinitionOrder, lattices, ordered algebraic structures
Block designDefinitionCombinatorics
Proof theoryDefinitionMathematical logic and foundations
Generalized linear modelDefinitionStatistics
Spectral tripleDefinitionGlobal analysis, analysis on manifolds
Random graphDefinitionCombinatorics
Discrete Fourier transformDefinitionNumerical analysis
Hahn seriesDefinitionCommutative algebra
Differential gameDefinitionGame theory, economics, finance, and other social and behavioral sciences
Hyperreal numberDefinitionReal functions
Analytic continuation in several variablesDefinitionSeveral complex variables and analytic spaces
Integral transforms of tempered distributionsDefinitionFunctional analysis
Filtered categoryDefinitionCategory theory; homological algebra
Domain decomposition methodsDefinitionNumerical analysis
Nevanlinna classDefinitionFunctions of a complex variable
Scott continuityDefinitionOrder, lattices, ordered algebraic structures
Eichler orderDefinitionNumber theory
Semilocally simply connected spaceDefinitionManifolds and cell complexes
Semiprimitive ringDefinitionAssociative rings and algebras
Bifurcation in a family of mapsDefinitionDifference and functional equations
Iterated function systemDefinitionMeasure and integration
Neighborly polytopeDefinitionConvex and discrete geometry
NomeDefinitionSpecial functions
Stable vector bundleDefinitionAlgebraic geometry
Approximately additive functionDefinitionDifference and functional equations
Rank-one convexityDefinitionCalculus of variations and optimal control; optimization
Complex powers of elliptic operatorsDefinitionGlobal analysis, analysis on manifolds
Proper mapDefinitionGeneral topology
Romberg's methodDefinitionNumerical analysis
Axiom of dependent choiceDefinitionMathematical logic and foundations
Cyclic polytopeDefinitionConvex and discrete geometry
CoplanarityDefinitionGeometry
SupermanifoldDefinitionGlobal analysis, analysis on manifolds
Reverse mathematicsDefinitionMathematical logic and foundations
Tame Fréchet spaceDefinitionFunctional analysis
Pitchfork bifurcationDefinitionOrdinary differential equations
JetDefinitionGlobal analysis, analysis on manifolds
Hankel matrixDefinitionLinear and multilinear algebra; matrix theory
Gauss sumDefinitionNumber theory
Gromov–Hausdorff convergenceDefinitionDifferential geometry