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Mathematical theorems (105)[edit]

Abouabdillah's theoremAkra-Bazzi methodArtin–Wedderburn theoremBeatty's theoremBeck's monadicity theoremBertrand's ballot theoremBourbaki–Witt theoremBranching theoremBrauer's theorem on induced charactersCameron-Martin theoremCarathéodory's theorem (conformal mapping)Cartan's theoremCastelnuovo-de Franchis theoremCayley's theoremClark-Ocone theoremClassification theoremClifford's theoremContinuity propertyConvolution theoremCorona theoremCramer's ruleDe Finetti's theoremDe Moivre's formulaDivergence theoremDominated convergence theoremEisenstein's theoremEuler's rotation theoremExcision theoremFactor theoremFaltings' theoremFejér's theoremFuglede's theoremFundamental theorem of Galois theoryFundamental theorem of Riemannian geometryFundamental theorem of curvesFundamental theorem on homomorphismsGauss-Lucas theoremGauss–Bonnet theoremGreen's theoremHahn embedding theoremHahn-Kolmogorov theoremHairy ball theoremHarnack's principleHellinger–Toeplitz theoremHelly's selection theoremHilbert's NullstellensatzHilbert's irreducibility theoremHilbert's syzygy theoremHodge index theoremHurewicz theoremIdentity theorem for Riemann surfacesInverse function theoremKatetov-Tong insertion theoremKodaira embedding theoremKronecker's theoremKuiper's theoremLabelled enumeration theoremLagrange's theorem (group theory)Lagrange's theorem (number theory)Lasker–Noether theoremLebesgue's decomposition theoremLinear congruence theoremLinear speedup theoremLiouville's theorem (Hamiltonian)Luzin's theoremMahler's theoremMarcinkiewicz theoremMaschke theoremMetrization theoremNagell–Lutz theoremNested intervalsNielsen realization problemOpen mapping theoremOre's theoremPeter–Weyl theoremPolynomial function theorems for zerosPolynomial remainder theoremPrimitive element theoremRegularity theorem for Lebesgue measureRepresentation theoremRiemann-Roch theorem for smooth manifoldsRiemann-von Mangoldt formulaSchwarz reflection principleSchwarz–Ahlfors–Pick theoremShannon's source coding theoremSiegel's theorem on integral pointsSimplicial approximation theoremStructure theorem for Gaussian measuresSturm's theoremSwan's theoremTheorem of de Moivre–LaplaceTheorem of the cubeThere is no infinite-dimensional Lebesgue measureTorelli theoremToy theoremUltraparallel theoremUniformization theoremVitali–Hahn–Saks theoremWeierstrass–Casorati theoremWhitney embedding theoremWhitney extension theoremWiener's tauberian theoremWilson's theoremWolstenholme's theoremZsigmondy's theorem

Linear algebra (75)[edit]

3D projectionAffine spaceAffine transformationAntilinear mapBasis (linear algebra)Basis functionBinomial inverse theoremCategory of vector spacesChange of basesChange of basisCharacteristic polynomialCoefficient matrixColumn vectorComplex conjugate vector spaceCoordinate spaceCoordinate vectorCramer's ruleDimension (vector space)Dimension theorem for vector spacesDirect sum of modulesDual basis in a field extensionElementary row operationsExamples of vector spacesFinite dimensional von Neumann algebraFlag (linear algebra)Generalizations of Pauli matricesGeneralized eigenvectorGraded vector spaceHomogeneous coordinatesInvariant subspaceInvariants of tensorsInverse eigenvalues theoremLagrange's formulaLeibniz formula for determinantsLinear combinationLinear complex structureLinear independenceLinear spaceMain diagonalMinimal polynomialNormal basisNull spaceNull vectorNull vector (vector space)Orientation (mathematics)Orthogonal complementOrthogonalizationOrthographic projection (geometry)OrthonormalityPartial tracePermanentPolynomial basisPseudoscalarPurification of quantum stateQuasinormQuotient space (linear algebra)Rank-nullity theoremRow and column spacesRow equivalenceRow vectorScalar (mathematics)Scalar multiplicationSchur complementSelf-adjointSesquilinear formShear (mathematics)Similarity (geometry)Spectral theorySpinors in three dimensionsStandard basisSylvester's law of inertiaSymbolic computation of matrix eigenvaluesTrace (linear algebra)Transformation matrixZech's logarithms

Group theory (74)[edit]

Artin groupBicommutantBurnside's lemmaC closed subgroupCategory of abelian groupsCayley graphCayley's theoremCenter (group theory)Centralizer and normalizerCharacteristic subgroupCircle groupClass automorphismClass functionCommensurability (mathematics)CommutantComponent (group theory)Composition seriesConjugacy classConjugate closureConjugation of isometries in Euclidean spaceCore (group)CosetCoset enumerationDihedral groupDiscrete logarithmDouble cosetEven and odd permutationsExamples of groupsFamily automorphismFixed points of isometry groups in Euclidean spaceFrattini subgroupFrattini's argumentFree groupFree productFundamental theorem of Galois theoryGalois groupGlossary of group theoryGroup cohomologyGroup homomorphismGroup objectHNN extensionHamiltonian groupHerzog-Schönheim conjectureHolomorph (mathematics)IA automorphismImperfect groupInduced representationInfinite conjugacy class propertyInner automorphismLength functionMaximal subgroupMolien seriesMultiplicative groupMultiplicative group of integers modulo nNormal coreNormal seriesOne-dimensional symmetry groupOuter automorphism groupP-compact groupPoint groups in two dimensionsPower closedPowerful p-groupQuaternion groupQuotient groupSemidirect productSerre's property FAStability groupStrong generating setSubgroupSymmetry groups in one dimensionT-groupUnit (ring theory)Weyl groupZassenhaus lemma

Abstract algebra (67)[edit]

*-algebraAbsorption lawAdditive inverseAlgebraic extensionAlgebraic independenceAlgebraic numberAlternativityAntihomomorphismAntiisomorphicAssociativityBinary functionBinary operationCenter (algebra)CoimageCokernelCommutativityCyclic permutationDifferential graded algebraDimension theorem for vector spacesDirect limitDual basis in a field extensionEmbeddingFormal derivativeFormal power seriesFree objectFundamental theorem on homomorphismsGC-setGraded algebraGrothendieck groupHomological algebraHyperstructureIdempotenceIntersection (set theory)Inverse elementInverse limitInvolutionIrreducible polynomialIsomorphism classKernel (set theory)Leibniz formula for determinantsLinear combinationLinear independenceMultiplicative groupNormal basisOrdered exponentialPairingPlanar ternary ringPointed setPolarization of an algebraic formPseudogroupQuotient moduleRng (algebra)Row and column spacesScalar (mathematics)Scalar multiplicationSelf-adjointSemigroupoidSemiringSemisimple algebraSimple (abstract algebra)Supercommutative algebraTensor productUnique factorization domainUnitalWord problem (mathematics)Zero divisorZero morphism

Probability theory (58)[edit]

Algebra of random variablesAlmost surelyAn inequality on location and scale parametersBernoulli trialChebyshev's inequalityChernoff boundChernoff's inequalityCoefficient of variationComplementary eventCompound Poisson distributionConcrete illustration of the central limit theoremConditional distributionConditional independenceConditional probabilityContinuity correctionCumulative distribution functionDiscrete probability distributionDynkin systemElementary eventGame of chanceGeometric standard deviationGlivenko-Cantelli classHoeffding's inequalityIndependent and identically-distributed random variablesInfinite divisibilityIntegration of the normal density functionInverse probabilityLaw of averagesLaw of total expectationLaw of total probabilityLocation parameterLogmoment generating functionMarginal distributionMarkov blanketMarkov networkMarkov's inequalityMemorylessnessMethod of moments (probability theory)Moment-generating functionMutually exclusive eventsNormally distributed and uncorrelated does not imply independentNuisance variablePairwise independenceProbabilistic encryptionProbability density functionProbability mass functionRule of successionSample spaceScale parameterStein's lemmaStieltjes moment problemSubjectivismSunrise problemSurvival functionTaylor expansions for the moments of functions of random variablesTheorem of de Moivre–LaplaceTsallis entropyUnimodal function

Mathematical terminology (47)[edit]

Absolutely irreducibleAbstract structureAliterAlmostAlmost surelyAnsatzArbitrarily largeArithmetic and geometric FrobeniusCanonical formCharacterization (mathematics)Classification problemComplete set of invariantsConcurrent linesConnectednessCounterexampleDefined and undefinedEssentially uniqueFunction of a real variableIf and only ifIndex (mathematics)Infinite descentInvariant (mathematics)Kernel (mathematics)Lexicographic productMathematical jargonModuloModulo (jargon)ParameterPermillePlugging in (algebra)PointwisePostulateProportionality (mathematics)QuotitionReductio ad absurdumRigidSides of an equationStrictSufficiently largeTheoremToy modelToy theoremTransport of structureTrivial (mathematics)Up toWell-behavedWell-defined

Geometry (41)[edit]

Ambient spaceAnalytic geometryAntiparallelArchimedes' use of infinitesimalsBirational geometryChirality (mathematics)CoaxialCodimensionComplex lineDirection (geometry, geography)Fundamental plane (spherical coordinates)General positionHomogeneous spaceHorizontal planeIncidence geometry (structure)Incidence structureIntegral geometryIsometryMathomatMeander (mathematics)Orientation (mathematics)PlanarPoint groups in two dimensionsPolar distance (geometry)Position vectorQuasiconformal mappingRegular Division of the PlaneScaling (geometry)Small-angle approximationSolid angleSphere-worldSuperspaceSurface areaSynthetic geometryThe Geometry CenterTransformation (mathematics)Transformation geometryTransversalityUnit squareVector areaVertical direction

Stochastic processes (39)[edit]

Abstract Wiener spaceAdapted processBertrand's ballot theoremBrownian bridgeBrownian treeClark-Ocone theoremContinuous-time Markov processDiffusion processDissociated pressDoob martingaleFinite-dimensional distributionFractional Brownian motionGaussian measureGauss–Markov processH-derivativeHitting timeJackson networkKolmogorov backward equationLag operatorLaw (stochastic processes)Lévy processMalliavin derivativeMarkov chain geostatisticsMarkov propertyMixing (mathematics)Natural filtrationNon-homogeneous Poisson processPaley-Wiener integralPath spacePoint processPopulation processQuadratic variationQueueing modelSample continuous processSemi-Markov processStationary processStopped processStopping ruleTime reversibility

Control theory (37)[edit]

Angle conditionAnticausal systemAsymptotic stabilityBang-bang controlBilinear transformClosed-loop poleControl systemControl-Lyapunov functionControllabilityController (control theory)DeadbandDigital controlDiscretizationDual control theoryFrequency responseFull state feedbackGain schedulingHigher-order controlImpulse responseInput shapingIntelligent controlKalman-Yakubovich-Popov lemmaMagnitude conditionMarginal stabilityMason's ruleMinimum energy controlMotion controlNichols plotObservabilityProper transfer functionRobust controlSingular controlState observerStrictly properTime-invariant systemTime-variant systemTransfer function

Ring theory (37)[edit]

Algebra (ring theory)Artin–Wedderburn theoremAzumaya algebraBoolean ringClassification of Clifford algebrasCommutative ringDomain (ring theory)Example of a non-associative algebraFiltered algebraFormal power seriesGlossary of ring theoryHeight (ring theory)Integral domainInvariant basis numberModular representation theoryMonoid ringNoetherian ringOrder (ring theory)Polynomial ringPrime ringPrimitive ringPrincipal ideal ringProduct of ringsQuaternion algebraRing (mathematics)Ring homomorphismRing of integersRng (algebra)SemiringSeveri-Brauer varietySymmetric algebraTensor product of algebrasTotal quotient ringUnique factorization domainUnit (ring theory)Universal enveloping algebraZero divisor

Algebraic topology (36)[edit]

Abstract simplicial complexAdams operationAlexander dualityAlexander-Spanier cohomologyAssociated bundleBarycentric subdivisionBetti numberChain (algebraic topology)Chern-Simons formClassifying spaceCohomologyCohomology operationCombinatorial topologyDegree (mathematics)Degree of a continuous mappingFree productFundamental groupGenus (mathematics)Homological algebraHomology theoryHurewicz theoremKünneth theoremLocal coefficientsMapping cylinderMassey productMorava K-theoryN-skeletonPair of spacesReal projective spaceRiemann-Hurwitz formulaSheaf cohomologySimplicial approximation theoremSimplicial complexSolenoid (mathematics)Swan's theoremTimelike simply connected

General topology (35)[edit]

Axiom of countabilityClopen setClosed setClosure (topology)Compact-open topologyCompactly generated spaceComparison of topologiesCover (topology)Directed setDisjoint union (topology)EmbeddingEpsilon-neighborhoodExcluded point topologyFinite topologyFirst-countable spaceG-delta setGeneric pointGluing axiomIrreducible componentKatetov-Tong insertion theoremLocal homeomorphismMapping torusMetrization theoremN-connectedN-skeletonNeighbourhood systemNoetherian topological spaceOpen and closed mapsPair of spacesPoint finite collectionPopcorn functionScott continuitySeparable spaceTopology glossaryZariski topology

Number theory (34)[edit]

Abelian variety of CM-typeAbouabdillah's theoremAlgebraic numberBase conversion divisibility testClass number formulaCoprimeDe Polignac's formulaEisenstein's theoremEuclid's lemmaFaltings' theoremGoldbach's cometGrothendieck–Katz p-curvature conjectureHilbert's irreducibility theoremHyperfactorialInteger-valued polynomialKronecker symbolLagrange's theorem (number theory)Linear congruence theoremLocal analysisMöbius transformP-adic division algorithmPrime geodesicProof of weak Scholz conjectureProofs of Fermat's little theoremQ-Vandermonde identityRemainderSemistable elliptic curveSolitary numberSquare-free integerSum-free sequenceSumsetUnique factorization domainWeil-Châtelet groupZsigmondy's theorem

Statistics (34)[edit]

Analysis of categorical dataBase rateBinary classificationClimate ensembleCombinatorial meta analysisConvex combinationCraps principleDutch bookEngineering statisticsFrequency (statistics)Geometric standard deviationGravity (social science methodology)Halton sequenceLatent variable modelLexis ratioLinear modelMaximum term methodNominal categoryNuisance variableOptimal matchingPlanning statistical researchPost-hoc analysisProper orthogonal decompositionRasch model estimationReversible jumpSample sizeShrinkage (statistics)Spatial analysisSpearman-Brown prediction formulaStatistical methodology analysis reporting techniqueStatistical phenomenaStatistical regularityStatistical syllogismTrispectrum

Differential geometry (33)[edit]

Associated bundleBitangentCartan's equivalence methodChern-Simons formConformal geometryConstant curvatureCovariant transformationCurves in differential geometryDarboux vectorDifferential geometry of curvesDirectional derivativeEmbeddingFlag manifoldFundamental theorem of curvesGeneralized Gauss-Bonnet theoremGlossary of differential geometry and topologyHorizontal spaceMaurer-Cartan formMoving frameOsculating circleP-vectorPrime geodesicProjective differential geometryPseudogroupReal projective spaceSchwarz–Ahlfors–Pick theoremTangent spaceTaut submanifoldTensor fieldTheorema EgregiumTorsion of connectionTorsion of curvesWeitzenböck identity

Polynomials (33)[edit]

Algebraic equationAlgebraic setAll one polynomialCharacteristic polynomialDegree of a polynomialDelta operatorDescartes' rule of signsEqually spaced polynomialFactor theoremFibonacci polynomialsGauss's lemma (polynomial)Hilbert's irreducibility theoremInteger-valued polynomialIrreducible polynomialMinimal polynomialMinimal polynomial (field theory)Minimal polynomial (linear algebra)Monomial orderPadovan polynomialsPolynomial long divisionPolynomial remainder theoremPolynomial ringPolynomial sequenceQuadratic polynomialQuartic functionSeparable polynomialSquare-free polynomialStability radiusSturm's theoremSymmetric algebraSymmetric functionTouchard polynomialsTschirnhaus transformation

Algebra (32)[edit]

Algebra homomorphismAlgebraic elementAlgebraic extensionAlgebraic numberAlternatizationBinary operationBinomialCanonical formClosed-form expressionCycle (mathematics)Degree (mathematics)Generalized arithmetic progressionIndeterminate (variable)Intersection (set theory)Inverse elementIrreducible polynomialKernel (algebra)Kernel (set theory)MonomialMultinomial theoremOperandOperation theoryPairingPartial fraction decompositionPermanentPlugging in (algebra)RatioSquare (algebra)Symmetric differenceTransforming polynomialsUnitalVariable

Field theory (32)[edit]

Algebraic closureAll one polynomialChange of basesConjugate element (field theory)Construction of splitting fieldsDual basis in a field extensionEqually spaced polynomialField normField of fractionsField traceFormally real fieldFundamental theorem of Galois theoryGalois groupGlobal fieldGlossary of field theoryGrothendieck's Galois theoryKummer theoryMinimal polynomialMinimal polynomial (field theory)Multiplicative groupNorm formNormal basisP-adic division algorithmPolynomial basisPrimitive element theoremQuadratic fieldRational varietySeparable polynomialTensor product of fieldsTotally real number fieldTranscendence degreeTschirnhaus transformation

Functional analysis (32)[edit]

Bounded setCompact convergenceConstructive quantum field theoryContinuous linear operatorContinuous waveletDual pairEigenfunctionF-spaceHellinger–Toeplitz theoremMarcinkiewicz theoremMeasure of non-compactnessMinkowski functionalMollifierMultiplication operatorOpen mapping theoremOrthogonal complementOrthogonal projectionOrthonormalityPartial tracePolarization identityPositive elementPositive linear functionalQuotient space (linear algebra)Riesz sequenceRiesz's lemmaSequence spaceSesquilinear formSpectral theory of compact operatorsUniform normUnit sphereWeak derivativeWeight function

Algebraic geometry (31)[edit]

Addition theoremAdjunction formula (algebraic geometry)Algebraic setAmple vector bundleAnalytic geometryArithmetic and geometric FrobeniusArithmetic groupChow ringCodimensionComplete intersectionComplex dimensionDeformation theoryDescent (category theory)Differential of the first kindFamily of curvesFinite morphismGeneralized JacobianGeneralized Riemann hypothesisGeneric pointHomogeneous polynomialHomological algebraHyperplane sectionInverse image functorIrreducible componentKodaira embedding theoremKähler differentialMysterious dualityNakai conjectureNoetherian topological spacePluricanonical ringToric geometry

Algebraic curves (31)[edit]

Ampersand curveBean curveBicornBicuspid curveBitangentBow curveBullet-nose curveClifford's theoremCrooked egg curveCruciform curveDeltoid curveEpicycloidFaltings' theoremFermat curveFolium of DescartesGenus (mathematics)Global fieldGonality of an algebraic curveLemniscate of BernoulliLimaçonNagata's conjecture on curvesPlücker formulaProjective linePrym varietyQuadrifoliumRiemann-Hurwitz formulaSymmetric product of an algebraic curveTheta-divisorTorelli theoremWatt's curveWeierstrass point

Graph theory (31)[edit]

1-factorableAdjacent vertexAssignment problemBook (graph theory)Book embeddingBoxologyCayley's formulaClique (graph theory)Col gameConnected dominating setConnectivity (graph theory)Cycle (graph theory)Degree (mathematics)Degree matrixDiscrete Laplace operatorDistance (graph theory)Graph invariantGraph isomorphismGraph morphismHyperbolicTreeIncidence geometry (structure)Incidence matrixKempe chainLevel structureOperations on graphsOre's theoremSaturation (graph theory)Seven Bridges of Königsberg/keySmall world routingUnidirectionalVoltage graph

Curves (29)[edit]

Ampersand curveAreal velocityBean curveBicornBicuspid curveBow curveBullet-nose curveCruciform curveCurve-fitting compactionCurves in differential geometryDeltoid curveDifferential geometry of curvesEpicycloidFolium of DescartesFundamental theorem of curvesHypocycloidIsogonal trajectoryLemniscate of BernoulliLimaçonLituusOgiveOval (geometry)QuadrifoliumRhodonea curveSemicubical parabolaSuperformulaTorsion of curvesTranscendental curveWatt's curve

Lie groups (29)[edit]

Cartan decompositionCartan's theoremCircle groupClifford-Klein formCompact groupContinuous symmetryEuclidean groupGlossary of semisimple groupsHomogeneous spaceImproper rotationLattice (group)Lie group decompositionsLie theoryMaurer-Cartan formMaximal compact subgroupMaximal torusOne-parameter groupP-compact groupPoincaré groupProjective linear groupProjective unitary groupPseudogroupRotation groupSegal-Shale-Weil distributionSimple Lie groupSymplectic groupUnitary groupVector flowWeyl group

Measure theory (28)[edit]

Abstract Wiener spaceAtom (measure theory)Ba spaceCameron-Martin theoremClark-Ocone theoremConull setDominated convergence theoremEssential supremum and essential infimumFinite-dimensional distributionH-derivativeHahn-Kolmogorov theoremLebesgue's decomposition theoremLogarithmically-spaced Dirac combLuzin's theoremMeasure zeroNull setPositive and negative setsRadonifying functionRegularity theorem for Lebesgue measureSeparable sigma algebraSigma additivitySigma-algebraStructure theorem for Gaussian measuresThere is no infinite-dimensional Lebesgue measureUniversally measurable setVitali setVitali–Hahn–Saks theoremWeight function

Basic concepts in set theory (28)[edit]

Binary setChoice functionCodomainComplement (set theory)Disjoint setsDisjoint unionDomain (mathematics)Element (mathematics)Empty functionFunction (set theory)Function compositionHorizontal line testIdentity functionImage (mathematics)Inclusion mapIndex setInjective functionIntersection (set theory)Inverse functionMap (mathematics)Non-empty setPointed setProjection (set theory)Range (mathematics)Simple theorems in the algebra of setsSubsetSurjective functionSymmetric difference

Mathematical analysis (28)[edit]

AsymptoteBounded functionBounded setCauchy principal valueConcave functionConvergence testsConvergent (continued fraction)Convex combinationFunction of a real variableFundamental recurrence formulasGrunwald-Letnikov differintegralHalf iterateHelly's selection theoremHyperbolic growthIndeterminate formInfinite productInterchange of limiting operationsLebesgue pointMathematical singularityMaxima and minimaNegligible setNon-classical analysisNormal convergenceRiemann-Liouville differintegralStieltjes moment problemWeight functionWeighted geometric meanWhitney extension theorem

Dynamical systems (28)[edit]

Analytical mechanicsAsymptotic stabilityAutonomous system (mathematics)Chetayev instability theoremD'Alembert's principleDissipationDistribution functionEntrainment (physics)ExpansiveExponential dichotomyHeteroclinic networkHilbert's sixteenth problemIntermittencyInvariant measureLinearizationMarginal stabilityOscillating reciprocationPrime geodesicQuasi-invariant measureQuasiperiodic motionReciprocationRotary reciprocationRotational-vibrational couplingStructural stabilityTime evolutionTopological conjugacyUniversality (dynamical systems)Virtual displacement

Topology (27)[edit]

Ambient spaceBall (mathematics)Band sumBoundary componentCompactification (mathematics)Contractible spaceCover (topology)Descent (category theory)Full set (topology)Genus (mathematics)Hilbert-Smith conjectureKernel (set theory)Limit (mathematics)Lindelöf's lemmaNormal spacePath (topology)Pointed spaceRegular spaceSeven Bridges of Königsberg/keySimplicial complexSmash productStar refinementSupport (mathematics)T1 spaceTopology glossaryUnit intervalWedge sum

Riemannian geometry (27)[edit]

Bishop–Gromov inequalityChristoffel symbols/ProofsConstant curvatureCurvature of Riemannian manifoldsFermi coordinatesFundamental theorem of Riemannian geometryGauss-Codazzi equationsGauss-Codazzi equations (relativity)Geodesic curvatureGeodesic manifoldGlossary of Riemannian and metric geometryHodge theoryKretschmann scalarMusical isomorphismParallel transportPseudo-Riemannian manifoldRiemann curvature tensorRiemannian submersionScalar curvatureSchouten tensorSectional curvatureTheorema EgregiumTorsion of connectionUniformization theoremUnit tangent bundleVector flowWeyl tensor

Projective geometry (27)[edit]

3D projectionCircular points at infinityCollineationComplex projective planeComplex projective spaceDuality (projective geometry)Fano planeFubini-Study metricHomogeneous coordinatesImaginary lineImaginary pointIncidence (geometry)Isotropic lineMaximal arcOrthogonal projectionOvoid (projective geometry)Plane at infinityPoint at infinityProjective differential geometryProjective frameProjective lineProjective linear groupQuadric (projective geometry)Quaternionic projective spaceReal pointReal projective spaceTranslation plane

Lemmas (27)[edit]

Burnside's lemmaClosed and exact differential formsCovering lemmaDynkin systemEuclid's lemmaFitting lemmaFive lemmaFrattini's argumentGauss's lemma (number theory)Gauss's lemma (polynomial)Grönwall's inequalityKalman-Yakubovich-Popov lemmaKnaster-Kuratowski-Mazurkiewicz lemmaLebesgue's lemmaLindelöf's lemmaLittlewood-Offord problemNoether normalization lemmaOpen and closed mapsRiesz's lemmaSard's lemmaShephard's lemmaShort five lemmaSnake lemmaSplitting lemmaStewart-Walker lemmaYoneda lemmaZassenhaus lemma

Order theory (27)[edit]

Ascending chain conditionAtomic (order theory)Bounded complete posetBourbaki–Witt theoremChain completeComplete Boolean algebraCountable chain conditionDirected setDuality (order theory)EmbeddingExtreme valueHausdorff maximal principleInfinite descending chainInfinite divisibilityJoin (mathematics)Lexicographical orderLimit-preserving function (order theory)Maximal elementMeet (mathematics)Order-embeddingPreorderPrime (order theory)Scott continuityStrong antichainSupermodularUpper and lower boundsWell-order

Homological algebra (26)[edit]

CohomologyDe Rham-Weil theoremDerived functorDifferential graded categoryExact functorExact sequenceFiltered algebraFive lemmaGluing axiomGrothendieck groupGroup cohomologyHilbert's syzygy theoremHomological algebraHomological conjectures in commutative algebraInvariant basis numberKünneth theoremProjective moduleProjective objectSeveri-Brauer varietySheaf cohomologyShort five lemmaSnake lemmaSplitting lemmaTensor product of modulesTopological half-exact functorTor functor

Binary operations (26)[edit]

AlternativityAssociativityBand sumBinary operationCircular convolutionCommutativityComplement (set theory)Cup productDiscrete logarithmIf and only ifIntersection (set theory)Inverse elementJoin (mathematics)Logical biconditionalMeet (mathematics)Minkowski additionPointwise productPower associativityProduct of ringsSemidirect productSmash productSymmetric differenceTensor productTensor product of modulesTor functorWedge sum

Commutative algebra (26)[edit]

Algebra (ring theory)Ascending chain conditionCommutative ringComplete intersectionDiscrete valuationDual numberField of fractionsHilbert's syzygy theoremHomological conjectures in commutative algebraIdeal theoryIntegral domainIntegralityInvariant basis numberKrull dimensionKähler differentialLasker–Noether theoremNoether normalization lemmaPolynomial ringPrimary idealPrincipal ideal domainRegular sequence (algebra)Serre's multiplicity conjecturesSwan's theoremTensor product of algebrasTotal quotient ringWeierstrass preparation theorem

Category theory (24)[edit]

Auto magma objectCartesian morphismCokernelComma categoryDescent (category theory)Discrete categoryDual (category theory)F-algebraFiltered categoryGlossary of category theoryGraded categoryGrothendieck's Galois theoryGrothendieck's relative point of viewImage (category theory)Initial algebraInjective cogeneratorKaroubi envelopeKernel (category theory)MorphismQuotient categorySieve (category theory)Structure (category theory)Yoneda lemmaZero morphism

Complex analysis (24)[edit]

Analytic continuationAntiholomorphic functionBranch pointCartan's theorems A and BDe Moivre's formulaDoubly-periodic functionEssential singularityFundamental recurrence formulasHolomorphic functionHolomorphic sheafHolomorphically separableLacunary valueLogarithmic derivativeMovable singularityOpen mapping theoremPolynomial function theorems for zerosPrincipal valueQuasiperiodic functionRegular partRemovable singularitySchwarz reflection principleSiegel upper half-planeValue distribution theory of holomorphic functionsWeierstrass–Casorati theorem

Proofs (23)[edit]

Cayley's theoremClosed-form expressionCombinatorial proofDe Moivre's formulaExistence theoremFundamental theorem of Riemannian geometryInfinite descentLeibniz formula for determinantsMinimal counterexampleNonconstructive proofProof by exhaustionProof by verbosityProof of Bertrand's postulateProof of the Euler product formula for the Riemann zeta functionProof of weak Scholz conjectureProof that Boolean satisfiability problem is NP-completeProofs of Fermat's little theoremPythagoras's theorem proof (rational trigonometry)Pythagorean trigonometric identityReductio ad absurdumSingle-sideband modulation/ProofsTriple quad formula proofViète formula

Symmetry (23)[edit]

CentrosymmetryChirality (mathematics)Circular symmetryCommutativityConformal symmetryConserved currentContinuous symmetryCyclic symmetriesDihedral symmetry in three dimensionsIcosahedral symmetryInversion transformationIsometries in physicsIsometryOctahedral symmetryOne-dimensional symmetry groupP-compact groupPoincaré groupSymmetric groupSymmetric relationSymmetry groups in one dimensionSymmetry in mathematicsTetrahedral symmetryTransformation geometry

Real analysis (22)[edit]

Cauchy productCompact convergenceConstruction of real numbersContinuity propertyDini derivativeDominated convergence theoremFundamental axiom of analysisHow to evaluate the limit of a real-valued functionIntegrable functionInterleave sequenceLeast upper bound axiomLimit (mathematics)Littlewood's three principles of real analysisLuzin's theoremNested intervalsOscillation (mathematics)Path spacePiecewise linear functionPointwise convergenceSupport (mathematics)Vanish at infinityWiener's tauberian theorem

Functions and mappings (22)[edit]

Angle of parallelismAntilinear mapCodomainDomain (mathematics)Function compositionGraph of a functionIdentity functionInjective functionInverse functionIsometryMap (mathematics)MorphismRange (mathematics)Real matrices (2 x 2)Root (mathematics)Rotation (mathematics)Rotation of axesScaling (geometry)Shear (mathematics)Steiner's problemSurjective functionTransformation (mathematics)

Mathematical notation (22)[edit]

Derivative (examples)Greek letters used in mathematicsHatch markIndex notationIndex setInternet shorthand notationJuxtapositionKronecker deltaLarge numbersLeibniz notationLeibniz's notation for differentiationNewton's notationNewton's notation for differentiationOperandParametric operatorPomegaRoman letters used in mathematicsSet-builder notationSmall numberTable of logic symbolsTypographical conventions in mathematical formulaeVoigt notation

Differential topology (21)[edit]

Associated bundleAtlas (topology)Band sumCanonical coordinatesCurrent (mathematics)EmbeddingGlossary of differential geometry and topologyHairy ball theoremHorizontal spaceInverse function theoremMassey productOrientabilityRiemann-Roch theorem for smooth manifoldsStunted projective spaceSwan's theoremTangent spaceTensor fieldTransversalityUnit tangent bundleVector flowWhitney embedding theorem

Algebraic varieties (21)[edit]

Branched coveringCanonical bundleComplete algebraic varietyComplex projective spaceDegree of an algebraic varietyDiagonal formDimension of an algebraic varietyFunction field of an algebraic varietyHilbert's NullstellensatzIrreducible componentLocal zeta-functionNoether normalization lemmaQuasiprojective varietyRational functionRational varietySeshadri constantSeveri-Brauer varietySingular point of an algebraic varietyTheorem of the cubeTranscendence degreeZariski topology

Matrices (21)[edit]

Binary matrixBlock matrixCartan matrixColumn vectorCompanion matrixFock matrixGeneralized permutation matrixHermitian matrixHessian matrixIncidence matrixInvolutary matrixMatrix equivalenceMontante's methodMueller calculusNormal matrixPentadiagonal matrixRow vectorSimilar matrixSkew-Hermitian matrixTransformation matrixZero matrix

Numeration (20)[edit]

Bi-quinary coded decimalBrahmi numeralChuvash numeralsCounterCyrillic numeralsCyrillic thousands signDecimal separatorDecimal superbaseEastern Arabic numeralsElias delta codingElias gamma codingElias omega codingEuropean numeralsExcess-3Exponential-Golomb codingGlyphs used with the Hindu-Arabic numeral systemLevenshtein codingNumber namesRadix pointTable of bases

Differential calculus (20)[edit]

Chain ruleConstant factor rule in differentiationDerivative of a constantDifferentiation under the integral signDini derivativeH-derivativeInverse functions and differentiationLeibniz's notation for differentiationLinear approximationLinearity of differentiationLinearizationLogarithmic derivativeMalliavin derivativeParametric derivativeProduct ruleQuotient ruleReciprocal ruleSum rule in differentiationTable of derivativesTechniques for differentiation

Geometric topology (20)[edit]

Alexander's trickBarycentric subdivisionBoundary parallelBranched surfaceClosed surfaceCodimensionGenus (mathematics)Handle (mathematics)Handle decompositionHandlebodyManifold decompositionMapping class groupMapping torusNielsen realization problemPDIFFReal projective planeSignature (topology)Spherical space form conjectureSurface bundleTubular neighborhood

Operator theory (20)[edit]

Bounded operatorClosed operatorCompact operatorDiscrete Laplace operatorFuglede's theoremHamiltonian (quantum mechanics)Hermitian adjointInvariant subspaceKuiper's theoremNest algebraNormal operatorOperator (physics)Operator algebraOperator normOrthogonal projectionPartial isometryS-numberSubnormal operatorUnitary operatorVolterra operator

Calculus (19)[edit]

Archimedes' use of infinitesimalsBinomial seriesCauchy's convergence testCurve transformationDynamic equations on time scalesEvaluating sumsExtreme valueFinding the centroidGeometric progressionIntegration by substitutionLeibniz integral ruleLeibniz notationLimit (mathematics)Maxima and minimaPiecewisePopcorn functionRelated ratesTable of limitsViète formula

Homotopy theory (19)[edit]

Andreotti–Frankel theoremBrown's representability theoremClassifying spaceCompactly generated spaceContractible spaceFundamental groupHomotopyHomotopy categoryHomotopy groupHurewicz theoremPath (topology)Pointed spaceSmash productSpanier-Whitehead dualitySpectrum (homotopy theory)Stunted projective spaceTimelike simply connectedTopological half-exact functorWeak equivalence

Inequalities (19)[edit]

An inequality on location and scale parametersBernoulli's inequalityBessel's inequalityBinet-Cauchy identityBishop–Gromov inequalityChebyshev's inequalityChebyshev's sum inequalityChernoff's inequalityGrönwall's inequalityHadamard's inequalityHoeffding's inequalityKy Fan inequalityMarkov's inequalityNewton's inequalitiesRearrangement inequalitySchur's inequalitySingleton boundWirtinger's inequalityYoung's inequality

Complex manifolds (19)[edit]

Andreotti–Frankel theoremBranched coveringCoherent sheafCompact Riemann surfaceComplex dimensionComplex manifoldComplex projective planeComplex projective spaceComplex torusDifferential of the first kindDolbeault cohomologyExponential sheaf sequenceFubini-Study metricGeneralized JacobianHodge theoryKodaira embedding theoremPluricanonical ringSerre dualityTorelli theorem

Euclidean geometry (18)[edit]

Abouabdillah's theoremDisk (mathematics)Integer latticeIntersection of a polyhedron with a lineInversion in a pointMinkowski additionOne-dimensional symmetry groupOrientation (geometry)Orientation (rigid body)OrthantOrthographic projection (geometry)Rotation of axesShape dissectionSimilarity (geometry)Square latticeSymmetry groups in one dimensionTriangulationTrilateration

Subgroup properties (18)[edit]

Abnormal subgroupC closed subgroupCentral subgroupCentrally closed subgroupCharacteristic subgroupComponent (group theory)Fully characteristic subgroupHall subgroupMalnormal subgroupMaximal subgroupModular subgroupParanormal subgroupPronormal subgroupPure subgroupSA subgroupSubgroupSubnormal subgroupTransitively normal subgroup

Elementary mathematics (18)[edit]

Abstraction (mathematics)Arg maxConstantDegeneracy (mathematics)DistinctGraph of a functionIdentifiability conditionIdentity functionMagnitude (mathematics)Number lineOpen sentenceOperation (mathematics)Point plottingRoman letters used in mathematicsRoot (mathematics)SlopeVariableY-intercept

Statistical theory (17)[edit]

Accuracy and precisionAncillary statisticAssociation (statistics)Completeness (statistics)Data pointEfficiency (statistics)Loss functionParameter spaceParametric modelStatisticStatistical assumptionStatistical inferenceStatistical modelStatistical parameterStatistical theorySufficiency (statistics)Variable

Permutations (17)[edit]

(p,q) shuffleCayley's theoremCycle (mathematics)Cycle notationCycles and fixed pointsCyclic permutationEven and odd permutationsGeneralized permutation matrixGhost LegIdentical particlesMantel testParastatisticsPermanentPermutation cipherSubfactorialSymmetric functionTransposition cipher

Numerical analysis (16)[edit]

ApproximationArithmetic precisionBasis functionClenshaw algorithmConstructions of low-discrepancy sequencesContinuous waveletDiscretizationLebedev gridLinear approximationLoss of significanceOrders of approximationPidgin codePseudo-spectral methodRadial basis functionSecular equationTermination

Continuous distributions (17)[edit]

Chi distributionExponential power distributionFano resonanceFisher-Tippett distributionHyperbolic distributionInverse-chi-squared distributionInverse-gamma distributionMatrix normal distributionNoncentral chi distributionRaised cosine distributionRayleigh distributionScaled-inverse-chi-squared distributionSum of normally distributed random variablesType-2 Gumbel distributionUniform distribution (continuous)Voigt profileWishart distribution

Factorial and binomial topics (17)[edit]

Binomial seriesDe Polignac's formulaFactorial momentFactorial moment generating functionGeneralized Pochhammer symbolLah numberMahler's theoremMultinomial distributionMultinomial theoremNegative binomial distributionNewton polynomialPochhammer symbolProof of Bertrand's postulateSubfactorialTrinomial expansionVandermonde's identityWilson's theorem

Multilinear algebra (17)[edit]

Bilinear operatorBinet-Cauchy identityDefinite bilinear formExterior algebraGlossary of tensor theoryHomogeneous polynomialLagrange's identityMultilinear algebraMultilinear formMultilinear mapMultiple cross productsSymmetric algebraTensor algebraTensor fieldTensor productTensor product of algebrasTensor product of modules

Algebraic number theory (17)[edit]

Adelic algebraic groupArithmetic and geometric FrobeniusBiquadratic fieldClass number problem for imaginary quadratic fieldsDedekind zeta functionDifferent idealDiscriminant of an algebraic number fieldField normGalois moduleGlobal fieldGroup cohomologyIdeal class groupKummer theoryLandau prime ideal theoremNewton polygonQuadratic fieldTotally real number field

Combinatorics (17)[edit]

Automatic sequenceBertrand's ballot theoremBlock walkingCombinatorial proofCovering problemCrazy diceCyclic orderDouble counting (proof technique)EnumerationFibonacci wordFormal power seriesGeneralized arithmetic progressionIncidence matrixIncidence structureLittlewood-Offord problemSquarefree wordSum-free sequence

Topological groups (17)[edit]

Adelic algebraic groupAmenable groupBohr compactificationCircle groupCompact groupCompactly generated groupDiscrete groupFree regular setHomogeneous spaceKronecker's theoremLocally compact groupLoop groupMaximal compact subgroupNon-commutative harmonic analysisOne-parameter groupRestricted productSolenoid (mathematics)

Logic (17)[edit]

Canonical formComparabilityCounterexampleIf and only ifInverse relationLogical biconditionalMatrix (logic)Mutually exclusive eventsParametric operatorPramāṇa-samuccayaReflexive relationRelation reductionRelative termStatistical syllogismTable of logic symbolsTriadic relationZeroth-order logic

Duality theories (16)[edit]

Alexander dualityAlexander-Spanier cohomologyCoherent dualityDual (category theory)Dual pairDuality (electrical engineering)Duality (order theory)Duality (projective geometry)Mysterious dualityNon-commutative harmonic analysisPoincaré dualityReflexive spaceS-dualitySerre dualitySpanier-Whitehead dualityT-duality

Measures (measure theory) (16)[edit]

Borel measureCarleson measureComplete measureCounting measureDirac measureErgodic measureGaussian measureInvariant measureLebesgue measureProduct measurePushforward measureQuasi-invariant measureResource bounded measureSigma-finite measureStrictly positive measureTrivial measure

Partial differential equations (16)[edit]

Chaplygin's equationConserved currentDiffusion equationExamples of boundary value problemsFundamental solutionH-principleHasegawa-Mima equationKolmogorov backward equationKuramoto modelLamm equationLarge eddy simulationNewtonian potentialParticle in a spherically symmetric potentialScreened Poisson equationShallow water equationsViscosity solution

Ordinary differential equations (16)[edit]

Cauchy-Euler equationChebyshev equationClairaut's equationExact differential equationExamples of boundary value problemsFrobenius methodGrothendieck–Katz p-curvature conjectureGrowth curveInseparable differential equationIntegrating factorLaser diode rate equationsMethod of variation of parametersMovable singularityOrdered exponentialPower series methodSturm-Picone comparison theorem

Tensors (16)[edit]

Application of tensor theory in engineeringCamino (diffusion MRI toolkit)Characteristic polynomialCovariant transformationDyadic productDyadic tensorGlossary of tensor theoryInvariants of tensorsKronecker deltaP-vectorReynolds stressesSchouten tensorStewart-Walker lemmaTensor (intrinsic definition)Two-vectorVoigt notation

Optimization (16)[edit]

Algebraic modeling languageDatabase tuningDemand OptimizationDescent directionDual coneGlobal optimumJob-shop problemLagrange dualityLagrangian relaxationMPS (format)Maxima and minimaSimplex algorithm methodSingle machine schedulingSteiner's problemStigler dietTrajectory optimization

Matrix theory (16)[edit]

BidiagonalizationBinomial inverse theoremChange of basisElementary matrix transformationsFreivald's algorithmJacobi's formulaLaplace expansionLogarithm of a matrixMatrix decompositionMatrix unitMinimal polynomial (linear algebra)Minor (linear algebra)PermanentSubmatrixSylvester's law of inertiaTrace (linear algebra)

Quantum field theory (15)[edit]

Anomalous scaling dimensionBose–Einstein statisticsConstructive quantum field theoryDirac operatorEffective actionFano resonanceFermi–Dirac statisticsFeynman graphFock spaceNoncommutative quantum field theoryParastatisticsPoincaré groupRepresentation theory of the Poincaré groupS-dualityTopological quantum number

Finite groups (15)[edit]

Alternating groupCyclic groupDicyclic groupDihedral groupFinite groupHall subgroupIcosahedral symmetryKlein four-groupLagrange's theorem (group theory)Multiplicative group of integers modulo nOctahedral symmetryQuasidihedral groupQuaternion groupTetrahedral symmetryTrivial group

Properties of groups (15)[edit]

Arithmetic groupArtin groupCyclic groupDihedral groupFinite groupFree abelian groupFree groupHamiltonian groupImperfect groupM groupMetanilpotent groupNilpotent groupPowerful p-groupSimple groupT-group

Elementary geometry (15)[edit]

AA postulateAngular diameterApollonius' theoremCircumscribeConcurrent linesConfocalGolden angleLeg (geometry)Line-plane intersectionLocus (mathematics)Pascal's Mystic HexagramPlane–sphere intersectionTriangulationTrilaterationVertical translation

Mathematical relations (15)[edit]

Antisymmetric relationAsymmetric relationBinary relationComparabilityCyclic orderDependence relationEquivalence classInverse relationReflexive relationRelation constructionRelation reductionSymmetric relationTotal relationTransitive closureTriadic relation

Integral calculus (15)[edit]

Arbitrary constant of integrationConstant factor rule in integrationDifferentiation under the integral signDisc integrationDisk integrationEssential supremum and essential infimumLebesgue's decomposition theoremLinearity of integrationNonelementary integralProduct measureRectangle methodShell integrationSum rule in integrationSurface of revolutionTrigonometric substitution

Module theory (15)[edit]

Annihilator (ring theory)Artinian moduleComoduleDirect sum of modulesFinitely-generated moduleFitting lemmaFree moduleIndecomposable moduleInvariant basis numberLocalization of a moduleMitchell's embedding theoremModular representation theoryProjective moduleTensor product of modulesZero module

Multivariate calculus (14)[edit]

Comparametric equationCritical point (mathematics)Differential operatorDirectional derivativeEquipotentialHessian matrixImplicit surfaceInverse function theoremMultivariable calculusPartial derivativeSaddle pointSaddle surfaceSard's lemmaSecond partial derivative test

Mathematical logic (14)[edit]

CanonicalizationCategorial grammarClassical mathematicsEquiconsistencyFormal systemInhabited setLogical machineMatrix (logic)Non-classical analysisOpen sentenceOperation (mathematics)Stratification (mathematics)Universe (mathematics)Zeroth-order logic

Modular arithmetic (14)[edit]

Congruence of squaresDiscrete logarithmEuler's criterionGauss's lemma (number theory)Jacobi symbolLegendre symbolLinear congruence theoremMethod of successive substitutionMultiplicative group of integers modulo nMultiplicative orderPrimitive root modulo nProofs of Fermat's little theoremResidue number systemWilson's theorem

Continuous mappings (14)[edit]

Arzelà-Ascoli theoremBounded operatorBundle mapContinuous function (topology)Continuous functional calculusDegree of a continuous mappingDirect image functorEquicontinuityHomotopyOpen and closed mapsProper mapRunge's phenomenonSimplicial approximation theoremUniform continuity

Sheaf theory (14)[edit]

Borel-Moore homologyCoherent dualityCoherent sheafDe Rham-Weil theoremDirect image functorExponential sheaf sequenceHolomorphic sheafInverse image functorLocal coefficientsLocally constant functionRestriction (mathematics)Ringed spaceSheaf cohomologySheaf spanned by global sections

Riemann surfaces (14)[edit]

Abelian integralAnalytic continuationBranching theoremCusp neighborhoodFuchsian modelGauss–Bonnet theoremHurwitz's automorphisms theoremIdentity theorem for Riemann surfacesPrime geodesicRiemann sphereRiemann-Hurwitz formulaSchwarz–Ahlfors–Pick theoremTeichmüller spaceUniformization theorem

Properties of topological spaces (14)[edit]

Contractible spaceFeebly compact spaceFirst-countable spaceLimit point compactLocally simply connected spaceMesocompact spaceN-connectedNormal spaceParacompact spaceRegular spaceRelatively compact subspaceSeparable spaceT1 spaceToronto space

Homology theory (13)[edit]

Alexander-Spanier cohomologyBorel-Moore homologyCellular homologyChern-Simons formCohomologyCup productDolbeault cohomologyExcision theoremHomology theoryHurewicz theoremPoincaré dualityReduced homologySingular homology

Fundamental physics concepts (13)[edit]

AnsatzBose–Einstein statisticsCommutativityDegrees of freedom (physics and chemistry)Ergodic hypothesisEuler equationsFermi–Dirac statisticsLiouville's theorem (Hamiltonian)Maxwell–Boltzmann statisticsOnsager reciprocal relationsPhotonProbability density functionStatistical ensemble (mathematical physics)

Regression analysis (13)[edit]

Breusch-Pagan testCalibration (statistics)DFFITSDeming regressionDependent and independent variablesDependent variableFraction of variance unexplainedHypothesis of linear regressionIndependent variableLeast-squares estimation of linear regression coefficientsLinear probability modelsMathematical formalization of the statistical regression problemPoisson regression

Surfaces (13)[edit]

Bézier triangleClosed surfaceCross-capEllipsoidGenus (mathematics)OrientabilityParametric surfaceProlateReal projective planeSaddle surfaceSpring (mathematics)SuperformulaSurface of revolution

Statistical mechanics (13)[edit]

Boltzmann distributionBose–Einstein statisticsDistribution functionErgodic hypothesisFermi–Dirac statisticsFeynman graphGibbs algorithmGreen-Kubo relationsLiouville's theorem (Hamiltonian)Maxwell–Boltzmann statisticsS-dualityStatistical ensemble (mathematical physics)Upper confidence bounds applied to trees

Glossaries (12)[edit]

Glossary of Riemannian and metric geometryGlossary of category theoryGlossary of differential geometry and topologyGlossary of field theoryGlossary of group theoryGlossary of probability and statisticsGlossary of ring theoryGlossary of scheme theoryGlossary of semisimple groupsGlossary of shapes with metaphorical namesGlossary of tensor theoryTopology glossary

Coding theory (12)[edit]

Bar product (coding theory)Block codeCanonical Huffman codeChannel codeDual codeEnumerator polynomialGilbert-Varshamov boundHamming boundHamming(7,4)Singleton boundSystematic codeTornado code

Numerical linear algebra (12)[edit]

Basis functionBiconjugate gradient methodBidiagonalizationBlock LU decompositionCrout matrix decompositionDivide-and-conquer eigenvalue algorithmEigenvalue algorithmFreivald's algorithmMontante's methodPentadiagonal matrixPivot elementSymbolic Cholesky decomposition

Mathematical identities (12)[edit]

Difference of two squaresEnumerator polynomialEuler's four-square identityGreen's identitiesHermite's identityJacobi identityLagrange's identityPolarization identityPythagorean trigonometric identityTangent half-angle formulaVandermonde's identityWeitzenböck identity

Conjectures (12)[edit]

ConjectureGeneralized Riemann hypothesisGrothendieck–Katz p-curvature conjectureHerzog-Schönheim conjectureHilbert-Smith conjectureHomological conjectures in commutative algebraNagata's conjecture on curvesNagata-Biran conjectureNakai conjectureSerre conjecture (number theory)Serre's multiplicity conjecturesSeshadri constant

Estimation theory (12)[edit]

Efficiency (statistics)Fisher informationForecast errorFraction of variance unexplainedGeneralized canonical correlationLeast-squares estimation of linear regression coefficientsLehmann–Scheffé theoremMean squared prediction errorPoint estimationQualitative forecastingRoot mean square deviationScore (statistics)

Euclidean symmetries (12)[edit]

Charts on SO(3)Conjugation of isometries in Euclidean spaceCoordinate rotations and reflectionsDihedral groupEuclidean groupEuler's rotation theoremEuler-Rodrigues parametersFixed points of isometry groups in Euclidean spaceImproper rotationPoint groups in two dimensionsRotation (mathematics)Rotation around a fixed axis

Lie algebras (12)[edit]

Cartan matrixCasimir goes to CasimirCasimir invariantJacobi identityLie ringMonster Lie algebraQuasi-Lie algebraRepresentation of a Lie algebraSimple Lie groupSolvmanifoldUniversal enveloping algebraWeyl group

Elementary arithmetic (11)[edit]

Addition of natural numbersDivision by twoEgyptian Mathematical Leather RollEquality (mathematics)Even and odd numbersIrreducible fractionMultiplication tablePlus-minus signProduct (mathematics)RemainderRoman arithmetic

Quantum mechanics (11)[edit]

Dirac operatorFano resonanceFock spaceFubini-Study metricHamiltonian (quantum mechanics)Perturbation theory (quantum mechanics)Potential energy surfaceQuantum stateQuantum superpositionRacah W-coefficientTopological quantum number

Numerical differential equations (11)[edit]

Adaptive mesh refinementCash-KarpDiscrete Laplace operatorDormand-PrinceEuler integrationExplicit and implicit methodsMidpoint methodMultistep methodNewmark-beta methodStiff equationUniform theory of diffraction

Integer sequences (11)[edit]

Anti-Fibonacci numberEuler numberHighly cototient numberLah numberLucas chainMeander (mathematics)Motzkin numberPower of twoSomer pseudoprimeSquare-free integerSum-free sequence

Rotational symmetry (11)[edit]

Charts on SO(3)Euler-Rodrigues parametersMagnetic quantum numberRacah W-coefficientRepresentation theory of SU(2)Representation theory of the Galilean groupRigid bodyRotation (mathematics)Rotation groupRotation operatorTorque/Proofs

Logarithms (11)[edit]

Additional logarithm topicsCommon logarithmDiscrete logarithmImaginary-base logarithmIndefinite logarithmInverse hyperbolic functionLogarithm of a matrixLogarithmic convolutionLogarithmic growthLogarithmic scaleLogarithmic units


Information[edit]

Run at: Tue Jun 12 18:22:28 UTC 2007 Total articles: 2502