Math 2.0

Every idea

Ideas 16051–16200 of 19838.

NameKindSubject
Height functionDefinitionNumber theory
Phyllotaxis and the golden anglePropositionBiology and other natural sciences
Euler's theorem on normal curvaturesTheoremDifferential geometry
Adjunction formulaTheoremAlgebraic geometry
Additive white Gaussian noise channelExampleInformation and communication theory, circuits
Calderón–Zygmund estimatesTheoremPartial differential equations
Cheap talkConceptGame theory, economics, finance, and other social and behavioral sciences
Closed-loop transfer functionConceptSystems theory; control
Infinite productDefinitionSequences, series, summability
Nef line bundleConceptAlgebraic geometry
Many-body localizationDefinitionStatistical mechanics, structure of matter
Nonlinear controlConceptSystems theory; control
Hamming boundTheoremInformation and communication theory, circuits
Contingency tableDefinitionStatistics
Electromagnetic four-potentialDefinitionOptics, electromagnetic theory
An infinite product converges iff its series of logarithms convergesPropositionSequences, series, summability
Johnson's theorem on amenable group algebrasTheoremAbstract harmonic analysis
Schauder basisDefinitionFunctional analysis
Wigner–Eckart theoremTheoremQuantum theory
Finite-difference time-domain methodDefinitionOptics, electromagnetic theory
Abel–Poisson summation of Fourier seriesConceptHarmonic analysis on Euclidean spaces
Cramér's theoremTheoremProbability theory and stochastic processes
Zak transformConceptHarmonic analysis on Euclidean spaces
Nilpotent Lie groupDefinitionTopological groups, Lie groups
Elastic collisionDefinitionMechanics of particles and systems
Dimensional regularizationDefinitionQuantum theory
Median algebra as a ternary algebraExampleGeneral algebraic systems
Affine term structure modelDefinitionGame theory, economics, finance, and other social and behavioral sciences
Mean-field gameDefinitionGame theory, economics, finance, and other social and behavioral sciences
Dehn invariantConceptConvex and discrete geometry
Bochner–Riesz conjectureConjectureHarmonic analysis on Euclidean spaces
Seifert–van Kampen theoremTheoremManifolds and cell complexes
Erdős–Rado theoremTheoremMathematical logic and foundations
Oka principleTheoremSeveral complex variables and analytic spaces
Uncertainty principle in Fourier analysisTheoremHarmonic analysis on Euclidean spaces
Compartmental models in epidemiologyDefinitionBiology and other natural sciences
Exact functorConceptCategory theory; homological algebra
MicrostateConceptStatistical mechanics, structure of matter
Kirchhoff's matrix tree theoremTheoremCombinatorics
Jeans instabilityPropositionAstronomy and astrophysics
Quintic equationExampleField theory and polynomials
Fundamental groupConceptAlgebraic topology
Octonionic projective planeExampleGeometry
TessellationDefinitionConvex and discrete geometry
Optimal control of partial differential equationsConceptCalculus of variations and optimal control; optimization
Birch–Tate conjectureConjectureNumber theory
Suspension flowDefinitionDynamical systems and ergodic theory
Minimal prime idealConceptCommutative algebra
Karoubi envelopeConceptCategory theory; homological algebra
Minlos theoremTheoremMeasure and integration
Schlegel diagramConceptConvex and discrete geometry
Socle of a moduleConceptAssociative rings and algebras
Affine plane over a finite fieldExampleGeometry
Lovász bound on the Shannon capacityTheoremCombinatorics
Hardy spaces of harmonic functionsDefinitionPotential theory
Gordon–Newell theoremTheoremProbability theory and stochastic processes
Hopf's formulaTheoremGroup theory and generalizations
Axiom ADefinitionDynamical systems and ergodic theory
Sheaf of modulesConceptAlgebraic geometry
PolyconvexityDefinitionCalculus of variations and optimal control; optimization
Localization of a moduleDefinitionCommutative algebra
Circle packingConceptConvex and discrete geometry
Hereditary ringDefinitionAssociative rings and algebras
Fourier seriesDefinitionHarmonic analysis on Euclidean spaces
Zero divisors are the union of associated primesTheoremCommutative algebra
Root locusDefinitionSystems theory; control
Faraday effectDefinitionOptics, electromagnetic theory
Ginzburg criterionFactStatistical mechanics, structure of matter
Countably compact spaceConceptGeneral topology
MixingConceptDynamical systems and ergodic theory
Lorentz forceFactOptics, electromagnetic theory
Kermack–McKendrick theoryTheoremBiology and other natural sciences
Birkhoff sum and averageDefinitionDynamical systems and ergodic theory
Grothendieck toposConceptCategory theory; homological algebra
KernelConceptCategory theory; homological algebra
ElGamal encryptionDefinitionInformation and communication theory, circuits
Inertia tensor and principal axesDefinitionMechanics of particles and systems
SubmanifoldDefinitionGlobal analysis, analysis on manifolds
Thermodynamic squareConceptClassical thermodynamics, heat transfer
ComonadDefinitionCategory theory; homological algebra
Levi-flat hypersurfaceConceptSeveral complex variables and analytic spaces
Tsirelson spaceExampleFunctional analysis
Torsion of a curveConceptDifferential geometry
Ambient noise seismic interferometryConceptGeophysics
Bol loopConceptGroup theory and generalizations
Radical idealConceptCommutative algebra
Continuum mechanicsDefinitionMechanics of deformable solids
Silverman–Toeplitz theoremTheoremSequences, series, summability
Semantic securityDefinitionInformation and communication theory, circuits
Stone's representation theorem for Boolean algebrasTheoremOrder, lattices, ordered algebraic structures
Quasiconvex functionConceptReal functions
Hecke operatorConceptNumber theory
Time-variant systemConceptSystems theory; control
Rankine–Hugoniot conditionsTheoremPartial differential equations
Cryptographic hash functionDefinitionInformation and communication theory, circuits
ProductConceptCategory theory; homological algebra
Edwards–Anderson modelExampleStatistical mechanics, structure of matter
Hochschild homologyConceptAssociative rings and algebras
Cournot competitionConceptGame theory, economics, finance, and other social and behavioral sciences
Period-doubling bifurcationDefinitionDynamical systems and ergodic theory
Tolman surface brightness testTheoremAstronomy and astrophysics
Double-couple sourceConceptGeophysics
Haar measure on a Lie groupDefinitionTopological groups, Lie groups
Group of Lie typeDefinitionGroup theory and generalizations
Error exponentConceptInformation and communication theory, circuits
Barnes–Hut simulationDefinitionAstronomy and astrophysics
Fox H-function transformsConceptIntegral transforms, operational calculus
Orthogonality of charactersTheoremAbstract harmonic analysis
Skew polynomial ringConceptAssociative rings and algebras
Fiber product of schemesDefinitionAlgebraic geometry
Shanks transformationDefinitionNumerical analysis
Relaxation of a variational problemDefinitionCalculus of variations and optimal control; optimization
Shapley–Shubik power indexDefinitionGame theory, economics, finance, and other social and behavioral sciences
Unique factorization of ideals in a Dedekind domainTheoremCommutative algebra
Survival analysisDefinitionStatistics
Multiplicative decomposition of the deformation gradientConceptMechanics of deformable solids
Thermal radiationConceptClassical thermodynamics, heat transfer
Arithmetic progressionExampleNumber theory
Electroactive polymerConceptMechanics of deformable solids
Hardy's inequalityTheoremReal functions
Revenue equivalence theoremTheoremGame theory, economics, finance, and other social and behavioral sciences
BidiagonalizationTheoremNumerical analysis
Class operators H S PConceptGeneral algebraic systems
Shannon capacity of a graphConceptCombinatorics
K-epsilon turbulence modelConceptFluid mechanics
Schechter luminosity functionDefinitionAstronomy and astrophysics
Green's relationsConceptGroup theory and generalizations
Heat engineConceptClassical thermodynamics, heat transfer
Operator spaceDefinitionOperator theory
Lovász extensionDefinitionOperations research, mathematical programming
Quantum circuitConceptQuantum theory
SupersymmetryConceptQuantum theory
BRST quantizationDefinitionQuantum theory
Riccati difference equationDefinitionDifference and functional equations
Frank-Kamenetskii theory of thermal explosionConceptClassical thermodynamics, heat transfer
Toda bracketDefinitionAlgebraic topology
Incidence structureDefinitionGeometry
Principal symbol of an operator on a manifoldConceptGlobal analysis, analysis on manifolds
Bernstein algebraConceptNonassociative rings and algebras
Thermodynamic workConceptClassical thermodynamics, heat transfer
Båth's lawFactGeophysics
Pareto frontDefinitionOperations research, mathematical programming
Laplace's equationConceptPartial differential equations
Four-vectorConceptRelativity and gravitational theory
Brown–Peterson cohomologyConceptAlgebraic topology
Persistent homologyConceptAlgebraic topology
FoliationDefinitionManifolds and cell complexes
Selberg integralTheoremSpecial functions
Prime modelConceptMathematical logic and foundations
Chebyshev's sum inequalityTheoremReal functions