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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。

ProofOfValuesOfTheRiemannZetaFunctionInTermsOfBernoulliNumbers proof of values of the Riemann zeta function in terms of Bernoulli numbers ProofOfVanAubelsTheorem ProofOfVanAubelTheorem proof of Van Aubel theorem
proof of Van Aubel’s theorem ProofOfVarianceOfTheHypergeometricDistribution proof of variance of the hypergeometric distribution ProofOfVaughtsTest proof of Vaught’s test
ProofOfVeblensTheorem proof of Veblen’s theorem ProofOfVietasFormula proof of Vieta’s formula ProofOfVitaliConvergenceTheorem
proof of Vitali convergence theorem ProofOfVitalisTheorem proof of Vitali’s Theorem ProofOfVizingsTheoremforGraphs proof of Vizing’s theorem (for graphs)
ProofOfVonNeumannDoubleCommutantTheorem proof of von Neumann double commutant theorem ProofOfWagnersTheorem proof of Wagner’s theorem ProofOfWaringsFormula
proof of Waring’s formula ProofOfWeakMaximumPrincipleForRealDomains proof of weak maximum principle for real domains ProofOfWedderburnsTheorem proof of Wedderburn’s theorem
ProofOfWeierstrassApproximationTheorem proof of Weierstrass approximation theorem ProofOfWeierstrassApproximationTheoremInRn proof of Weierstrass approximation theorem in R^n ProofOfWeierstrassCriterionOfUniformConvergence
ProofOfWeierstrassMtest proof of Weierstrass M-test proof of Weierstrass’ criterion of uniform convergence ProofOfWeylsInequality proof of Weyl’s inequality
ProofOfWhenIsAPointInsideATriangle proof of when is a point inside a triangle ProofOfWielandtHoffmanTheorem proof of Wielandt-Hoffman theorem ProofOfWilsonsTheorem
ProofOfWilsonsTheoremResult ProofOfWilsonsTheoremUsingTheWilsonQuotient proof of Wilson’s theorem proof of Wilson’s theorem result proof of Wilson’s theorem using the Wilson quotient
ProofOfYoungInequality proof of Young Inequality ProofOfYoungsInequalityByPicture proof of Young’s inequality by picture ProofOfZermelosPostulate
ProofOfZermelosWellorderingTheorem proof of Zermelo’s postulate proof of Zermelo’s well-ordering theorem proof of ◇ is equivalent to ♣ and continuum hypothesis ProofThat3IsTheOnlyPrimePerfectTotientNumber
proof that 3 is the only prime perfect totient number ProofThat4xExceedsTheProductOfThePrimesUpToX proof that 4^x exceeds the product of the primes up to x ProofThatACompactSetInAHausdorffSpaceIsClosed proof that a compact set in a Hausdorff space is closed
ProofThatADomainIsDedekindIfItsIdealsAreInvertible proof that a domain is Dedekind if its ideals are invertible ProofThatADomainIsDedekindIfItsIdealsAreProductsOfMaximals proof that a domain is Dedekind if its ideals are products of maximals ProofThatADomainIsDedekindIfItsIdealsAreProductsOfPrimes
proof that a domain is Dedekind if its ideals are products of primes ProofThatAEuclideanDomainIsAPID proof that a Euclidean domain is a PID proof that a finite abelian group has element with ERROR(\delimiter)⁢69640972⁢g⁢ERROR(\delimiter)⁢86418188=e⁢x⁢p(G) ProofThatAFiniteAbelianGroupHasElementWithlvertGrvertexpG
ProofThatAFiniteCollectionOfSetsWillNotSuffice proof that a finite collection of sets will not suffice ProofThatAGcdDomainIsIntegrallyClosed proof that a gcd domain is integrally closed ProofThatAllCyclicGroupsAreAbelian
proof that all cyclic groups are abelian ProofThatAllCyclicGroupsOfTheSameOrderAreIsomorphicToEachOther proof that all cyclic groups of the same order are isomorphic to each other ProofThatAllPowersOf3ArePerfectTotientNumbers proof that all powers of 3 are perfect totient numbers
ProofThatAllSubgroupsOfACyclicGroupAreCyclic proof that all subgroups of a cyclic group are cyclic ProofThatAMetricSpaceIsCompactIfAndOnlyIfItIsCompleteAndTotallyBounded proof that a metric space is compact if and only if it is complete and totally bounded ProofThatANoetherianDomainIsDedekindIfItIsLocallyAPID
proof that a Noetherian domain is Dedekind if it is locally a PID ProofThatANontrivialNormalSubgroupOfAFinitePgroupGAndTheCenterOfGHaveNontrivialIntersection proof that a nontrivial normal subgroup of a finite p-group G and the center of G have nontrivial intersection ProofThatAPathConnectedSpaceIsConnected proof that a path connected space is connected
ProofThatARelationIsUnionOfFunctionsIfAndOnlyIfAC proof that a relation is union of functions if and only if AC ProofThatAZeckendorfRepresentationRepresentsAUniquePositiveInteger proof that a Zeckendorf representation represents a unique positive integer ProofThatCcupAndCcapAreConsequenceOperators
ProofThatCommutingMatricesAreSimultaneouslyTriangularizable proof that commuting matrices are simultaneously triangularizable ProofThatComponentsOfOpenSetsInALocallyConnectedSpaceAreOpen proof that components of open sets in a locally connected space are open ProofThatContrapositiveStatementIsLogicallyEquivalentToOriginalStatement
proof that contrapositive statement is logically equivalent to original statement ProofThatCountableUnionsAreCountable proof that countable unions are countable proof that C_∪ and C_∩ are consequence operators ProofThatdetEAEoperatornametrA
ProofThatDimensionOfComplexIrreducibleRepresentationDividesOrderOfGroup proof that dimension of complex irreducible representation divides order of group proof that d⁢e⁢te^A=e^{tr⁡A} ProofThatEIsNotANaturalNumber proof that e is not a natural number
ProofThateta1ln2 ProofThatEulersConstantExists ProofThatEulervarphiFunctionIsMultiplicative proof that Euler φ function is multiplicative proof that Euler’s constant exists
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