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数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。
ProofOfDulacsCriteria
Proof of Dulac’s Criteria
proof of dα(X,Y)=X(α(Y)) - Y(α(X)) - α([X,Y]) (global coordinate-free)
proof of dα(X,Y)=X(α(Y)) - Y(α(X)) - α([X,Y]) (local coordinates)
ProofOfEgorovsTheorem
proof of Egorov’s theorem
ProofOfEisensteinCriterion
proof of Eisenstein criterion
ProofOfEmbeddingTheoremForOrderedAbelianGroupsOfRankOne
proof of embedding theorem for ordered abelian groups of rank one
ProofOfEquivalenceOfDefinitionsOfValuation
proof of equivalence of definitions of valuation
ProofOfEquivalenceOfFermatsLastTheoremToItsAnalyticForm
proof of equivalence of Fermat’s Last Theorem to its analytic form
ProofOfEquivalenceOfFormulasForExp
proof of equivalence of formulas for exp
ProofOfEquivalentDefinitionsOfAnalyticSetsForMeasurableSpaces
proof of equivalent definitions of analytic sets for measurable spaces
ProofOfEquivalentDefinitionsOfAnalyticSetsForPavedSpaces
proof of equivalent definitions of analytic sets for paved spaces
ProofOfEquivalentDefinitionsOfAnalyticSetsForPolishSpaces
proof of equivalent definitions of analytic sets for Polish spaces
ProofOfErdosAnningTheorem
proof of Erdös-Anning Theorem
ProofOfEstimatingTheoremOfContourIntegral
proof of estimating theorem of contour integral
ProofOfEulerFermatTheorem
proof of Euler-Fermat theorem
ProofOfEulerFermatTheoremUsingLagrangesTheorem
proof of Euler-Fermat theorem using Lagrange’s theorem
ProofOfEulerFoursquareIdentity
proof of Euler four-square identity
ProofOfEulerMaclaurinSummationFormula
proof of Euler-Maclaurin summation formula
ProofOfEulersCriterion
proof of Euler’s criterion
ProofOfEveryFilterIsContainedInAnUltrafilteralternateProof
proof of every filter is contained in an ultrafilter (alternate proof)
ProofOfExampleOfMedialQuasigroup
proof of example of medial quasigroup
ProofOfExhaustionByCompactSetsFormathbbRn
proof of exhaustion by compact sets for ℝ^n
ProofOfExistenceAndUnicityOfSelfsimilarFractals
proof of existence and unicity of self-similar fractals
ProofOfExistenceAndUniquenessOfBestApproximations
proof of existence and uniqueness of best approximations
ProofOfExistenceAndUniquenessOfSingularValueDecomposition
proof of existence and uniqueness of singular value decomposition
ProofOfExistenceOfTheEssentialSupremum
proof of existence of the essential supremum
ProofOfExistenceOfTheLebesgueMeasure
proof of existence of the Lebesgue measure
ProofOfExpectedValueOfTheHypergeometricDistribution
proof of expected value of the hypergeometric distribution
ProofOfExtendedLiouvillesTheorem
proof of extended Liouville’s theorem
ProofOfExtendedMeanvalueTheorem
proof of extended mean-value theorem
ProofOfExtendingACapacityToACartesianProduct
proof of extending a capacity to a Cartesian product
ProofOfFactorTheorem
proof of factor theorem
ProofOfFactorTheoremDueToFermat
proof of factor theorem due to Fermat
ProofOfFactorTheoremUsingDivision
proof of factor theorem using division
ProofOfFatouLebesgueTheorem
proof of Fatou-Lebesgue theorem
ProofOfFatousLemma
proof of Fatou’s lemma
ProofOfFaulhabersFormula
proof of Faulhaber’s formula
ProofOfFeketesSubadditiveLemma
Proof of Fekete’s subadditive lemma
ProofOfFermatsLittleTheoremUsingLagrangesTheorem
ProofOfFermatsTheoremstationaryPoints
proof of Fermat’s little theorem using Lagrange’s theorem
proof of Fermat’s Theorem (stationary points)
ProofOfFiniteExtensionsOfDedekindDomainsAreDedekind
proof of finite extensions of Dedekind domains are Dedekind
ProofOfFiniteInseparableExtensionsOfDedekindDomainsAreDedekind
proof of finite inseparable extensions of Dedekind domains are Dedekind
ProofOfFinitelyGeneratedTorsionfreeModulesOverPruferDomains
proof of finitely generated torsion-free modules over Prüfer domains
ProofOfFiniteSeparableExtensionsOfDedekindDomainsAreDedekind
proof of finite separable extensions of Dedekind domains are Dedekind
ProofOfFirstIsomorphismTheorem
proof of first isomorphism theorem
ProofOfFixedPointsOfNormalFunctions
proof of fixed points of normal functions
ProofOfFodorsLemma
proof of Fodor’s lemma
ProofOfFourthIsomorphismTheorem
proof of fourth isomorphism theorem
ProofOffracftfstsleqfracfufsusleqfracfuftutForConvexF
ProofOfFrattiniArgument
proof of Frattini argument
ProofOfFrobeniusReciprocity
proof of Frobenius reciprocity
ProofOfFubinisTheoremForTheLebesgueIntegral
proof of Fubini’s theorem for the Lebesgue integral
ProofOfFunctionalEquationForTheThetaFunction
proof of functional equation for the theta function
ProofOfFunctionalMonotoneClassTheorem
proof of functional monotone class theorem
ProofOfFundamentalTheoremOfAlgebra
proof of fundamental theorem of algebra
ProofOfFundamentalTheoremOfAlgebraargumentPrinciple
proof of fundamental theorem of algebra (argument principle)
ProofOfFundamentalTheoremOfAlgebradueToCauchy
proof of fundamental theorem of algebra (due to Cauchy)
ProofOfFundamentalTheoremOfAlgebradueToDAlembert
proof of fundamental theorem of algebra (due to d’Alembert)
ProofOfFundamentalTheoremOfAlgebraRouchesTheorem
proof of fundamental theorem of algebra (Rouché’s theorem)
ProofOfFundamentalTheoremOfFinitelyGeneratedAbelianGroups
proof of fundamental theorem of finitely generated abelian groups
ProofOfFundamentalTheoremOfGaloisTheory
proof of fundamental theorem of Galois theory
ProofOfFundamentalTheoremOfSymmetricPolynomials
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