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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)69640972gERROR(\delimiter)86418188=exp(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 dete^A=e^{trA}
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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