Math 2.0

Every idea

Ideas 16801–16950 of 19838.

NameKindSubject
Murray–von Neumann equivalenceDefinitionFunctional analysis
Space formDefinitionDifferential geometry
Discriminant of a field extensionDefinitionNumber theory
Hamburger moment problemProblemIntegral transforms, operational calculus
Triebel–Lizorkin spaceConceptFunctional analysis
Gibbard–Satterthwaite theoremTheoremGame theory, economics, finance, and other social and behavioral sciences
Krull's height theoremTheoremCommutative algebra
Levi-flat hypersurfaceDefinitionSeveral complex variables and analytic spaces
CrownExampleOrder, lattices, ordered algebraic structures
Wiener indexConceptCombinatorics
Abraham–Lorentz forceFactOptics, electromagnetic theory
Cauchy's logarithmic equationDefinitionDifference and functional equations
Universal Turing machineObjectMathematical logic and foundations
Discrete Laplace operatorDefinitionDifference and functional equations
f-divergenceConceptInformation and communication theory, circuits
Indirect utility functionDefinitionGame theory, economics, finance, and other social and behavioral sciences
Foster's theorem on primal algebrasTheoremGeneral algebraic systems
Inequalities in information theoryDefinitionInformation and communication theory, circuits
Upper nilradicalDefinitionAssociative rings and algebras
Systolic geometryDefinitionDifferential geometry
Cotangent space of a local ringDefinitionCommutative algebra
F-coalgebraDefinitionCategory theory; homological algebra
Poisson kernelConceptPotential theory
Projection method for integral equationsDefinitionIntegral equations
Thermodynamic stateConceptClassical thermodynamics, heat transfer
Mikusiński operational calculusConceptIntegral transforms, operational calculus
Ehresmann connectionConceptDifferential geometry
CouplingDefinitionProbability theory and stochastic processes
Magnus expansionDefinitionOrdinary differential equations
Backward differentiation formulaConceptNumerical analysis
Multiple integralDefinitionReal functions
Tietze transformationsDefinitionGroup theory and generalizations
Peixoto's theoremTheoremDynamical systems and ergodic theory
Kingman's coalescentDefinitionProbability theory and stochastic processes
Microcanonical ensembleConceptStatistical mechanics, structure of matter
Hartle–Hawking stateConceptRelativity and gravitational theory
Direct and inverse theorems of approximationConceptApproximations and expansions
Abel inversion formulaTheoremIntegral equations
Gamma matricesObjectLinear and multilinear algebra; matrix theory
Extremal lengthDefinitionFunctions of a complex variable
Polynomial hierarchyConceptComputer science
StokesletDefinitionFluid mechanics
Kaplansky density theoremTheoremFunctional analysis
Invertible idealDefinitionCommutative algebra
RainbowExampleOptics, electromagnetic theory
Kodaira–Spencer mapDefinitionSeveral complex variables and analytic spaces
Bessel function of the first kindDefinitionSpecial functions
Functional completenessConceptGeneral algebraic systems
Tarski monster groupObjectGroup theory and generalizations
Direct method in the calculus of variationsConceptCalculus of variations and optimal control; optimization
Periodic pointDefinitionDynamical systems and ergodic theory
Geomagnetic secular variationDefinitionGeophysics
Hirzebruch signature theoremTheoremManifolds and cell complexes
Hopf invariantConceptAlgebraic topology
Lagrange polynomialDefinitionApproximations and expansions
ResolventDefinitionOperator theory
Finite ringDefinitionAssociative rings and algebras
Aleph numberDefinitionMathematical logic and foundations
Rauch–Tung–Striebel smootherDefinitionSystems theory; control
Bertrand's theoremTheoremMechanics of particles and systems
Descriptive set theoryConceptMathematical logic and foundations
Exact categoryConceptCategory theory; homological algebra
Uniform approximationDefinitionApproximations and expansions
Pivotal quantityDefinitionStatistics
Constitutive relations of electromagnetismDefinitionOptics, electromagnetic theory
Envy-freenessDefinitionGame theory, economics, finance, and other social and behavioral sciences
Lie sphere geometryConceptGeometry
Capacity of a setDefinitionPotential theory
Chemical reaction network theoryDefinitionBiology and other natural sciences
Banach algebraDefinitionFunctional analysis
Geometric realizationConceptAlgebraic topology
Lie algebroidDefinitionDifferential geometry
Cyclic coordinateConceptMechanics of particles and systems
Register machineConceptComputer science
K0 of a C*-algebraDefinitionFunctional analysis
Global spherical shell conjectureConjectureSeveral complex variables and analytic spaces
ℓ-adic cohomologyDefinitionAlgebraic geometry
Blotto gameExampleGame theory, economics, finance, and other social and behavioral sciences
Chevalley's theorem on constructible setsTheoremAlgebraic geometry
Join-prime elementDefinitionOrder, lattices, ordered algebraic structures
Down-closureDefinitionOrder, lattices, ordered algebraic structures
Newton's minimal resistance problemProblemCalculus of variations and optimal control; optimization
Block designDefinitionCombinatorics
Residually small varietyConceptGeneral algebraic systems
Integro-partial differential equationConceptIntegral equations
Levenberg–Marquardt algorithmPropositionNumerical analysis
Proof theoryDefinitionMathematical logic and foundations
Resistance formConceptPotential theory
Hartogs domainConceptSeveral complex variables and analytic spaces
Nusselt numberConceptClassical thermodynamics, heat transfer
Generalized linear modelDefinitionStatistics
Natural proofs barrierTheoremComputer science
Structure formationDefinitionAstronomy and astrophysics
Lensmaker's equationPropositionOptics, electromagnetic theory
Free categoryConceptCategory theory; homological algebra
Differential gameConceptGame theory, economics, finance, and other social and behavioral sciences
Siu's semicontinuity theoremTheoremSeveral complex variables and analytic spaces
Spectral tripleDefinitionGlobal analysis, analysis on manifolds
Central forceDefinitionMechanics of particles and systems
Paley–Wiener theoremTheoremFunctions of a complex variable
Random graphDefinitionCombinatorics
Equation of state of seawaterDefinitionGeophysics
Group schemeConceptAlgebraic geometry
Normal formConceptOrdinary differential equations
The alternating group is the kernel of the signExampleGroup theory and generalizations
Gravitational redshiftPropositionRelativity and gravitational theory
Rayleigh waveDefinitionMechanics of deformable solids
Discrete Fourier transformDefinitionNumerical analysis
Nyquist plotDefinitionSystems theory; control
F-planeDefinitionFluid mechanics
Dimer modelExampleStatistical mechanics, structure of matter
Finitely presented groupConceptGroup theory and generalizations
Ore conditionConceptAssociative rings and algebras
Catastrophic cancellationConceptNumerical analysis
Hahn seriesDefinitionCommutative algebra
Ellipsoid methodConceptOperations research, mathematical programming
Differential gameDefinitionGame theory, economics, finance, and other social and behavioral sciences
T-dualityDefinitionQuantum theory
Lichnerowicz–Obata eigenvalue theoremTheoremGlobal analysis, analysis on manifolds
Einstein radiusDefinitionAstronomy and astrophysics
Equation of state in cosmologyDefinitionRelativity and gravitational theory
Hyperreal numberDefinitionReal functions
Chladni figuresExampleMechanics of deformable solids
Analytic continuation in several variablesDefinitionSeveral complex variables and analytic spaces
Holomorphic vector bundleConceptSeveral complex variables and analytic spaces
Integral transforms of tempered distributionsDefinitionFunctional analysis
Kerr effectDefinitionOptics, electromagnetic theory
Filtered categoryDefinitionCategory theory; homological algebra
Bell's spaceship paradoxProblemRelativity and gravitational theory
Cluster algebraConceptCommutative algebra
Calculus of constructionsConceptMathematical logic and foundations
Nonharmonic Fourier seriesConceptHarmonic analysis on Euclidean spaces
Flow-shop schedulingProblemOperations research, mathematical programming
Elastic netConceptStatistics
Data assimilationConceptGeophysics
Taft algebraExampleAssociative rings and algebras
Function of exponential orderConceptIntegral transforms, operational calculus
Su–Schrieffer–Heeger modelExampleStatistical mechanics, structure of matter
Domain decomposition methodsDefinitionNumerical analysis
Schur product theoremTheoremLinear and multilinear algebra; matrix theory
Proper holomorphic mapConceptSeveral complex variables and analytic spaces
Löwner–John theoremTheoremConvex and discrete geometry
Free productConceptGroup theory and generalizations
Borel density theoremTheoremTopological groups, Lie groups
Boundary value problemConceptOrdinary differential equations
Identity of an algebraConceptNonassociative rings and algebras
Nevanlinna classDefinitionFunctions of a complex variable
Scott continuityDefinitionOrder, lattices, ordered algebraic structures
Eichler orderDefinitionNumber theory
Separation principleTheoremSystems theory; control