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35 个结果
  • 简介:如果X是一条弧或一个圆,那么,X上没有广泛的同胚,是众所周知的。在我们证明那的这篇论文,X上没有广泛的Z~d行动,它回答以前我们提出的二个问题。在1979,鬃毛证明在无限的维的空格没有广泛的同胚。与这结果相反,我们在一个无限的维的空格构造广泛的Z~2action。我们也在Z~2在零个维的空格而是没有元素构造一个广泛的Z~2行动是广泛的。

  • 标签: 群论 同拓扑 扩展性 空间特性
  • 简介:ANINTERSECTIONPROPERTYOFTHESIMPLERANDOMWALKSINZ ̄dZHOUXIANYIN(DepartmentofMathematics,BeijingNormalUniversity100875,China)Abst...

  • 标签: EFFECTIVE resistance SIMPLE RANDOM WALK INTERSECTION
  • 简介:Thispaperderivesfirstordernecessaryandsufficientconditionsforunconstrainedconed.c.Programmingproblemswheretheunderlinedspaceispartiallyorderedwithrespecttoacone.Theseconditionsaregivenintermsofdirectionalderivativesandsubdifferentialsofthecomponentfunctions.Moreover,conjugatedualityforconed.c.Optimizationisdiscussedandweakdualitytheoremisprovedinamoregeneralpartiallyorderedlineartopologicalvectorspace(generalizingtheresultsin[11]).

  • 标签: 锥d.c.最优化 共轭对偶 弱对偶定理 次梯度 多目标优化 方向导数
  • 简介:Thispapergivesthedefinitionsandsomepropertiesofε-directionalderivateandε-subgradientsofcone-convexfunction.Fromthem,theoptimalityconditionsoflocalandglobaloptimalpointofunconstrainedcone-d.c.programmingaregained.Atlast,thedualitytheoremsofthisprogrammingarepresented.

  • 标签: ε-定向导出数 ε-子斜度 最优化条件 对偶定理 凸函数
  • 简介:先建立除环上的矩阵范畴,并证明这个范畴是Abel范畴,然后利用范畴论中的结论给出除环上矩阵方程AXB=D有解的条件。

  • 标签: 除环 ABEL范畴 矩阵方程 充要条件
  • 简介:Inthispaper,anewproofofD’AlembertformulaforCauchyproblemsofwaveequationisproposed.AndsomeD’Alembert-typeformulasforCauchyproblemwithdiscontinuouscoefficientsonsemi-infiniteinitialboundaryvalueproblemareproposed.Basedonabovediscussion,thec(?)racteristicsmethodsforthedirectandinverseproblemsofthestresswaveequationforuniformlayeradelasticmediumareinvestigated.Theaimofthispaperistostressthesignificanceandapplicationofthecharacteristicsconceptandapproach.

  • 标签: proof DISCONTINUOUS INFINITE discussion FORMULAS inverse
  • 简介:LetDbeaboundedC3-domaininRdand(aij)beaboundedsymmetricmatrixdefinedonD.Considerthesymmetricform(u,v)=1/2∫Daij(x)(u(x))/(xi)(v(x))/(xj)dx,u,v∈H1(D).UndersomeassumptionsitisshownthatthediffusionprocessassociatedwiththeregularDirichletspace(,(H1(D))onL2(D)canbecharacterizedasauniquesolutionofacertainstochasticdifferentialequation.

  • 标签: SYMMETRIC stochastic assumptions 岁夕 UNIFORMLY BOREL
  • 简介:ThepapermodelsthearrivalofheterogeneousinformationduringR&DstagesasadoublystochasticPoissonprocess(DSPP).Thenewproductmarketintroductionisthoughtofasoptiononanoption(acompoundoption).ThispaperderivesananalyticapproximationvaluationformulafortheR&Doption,anddemonstratesthattheaccountsforheterogeneousinformationarrivalmayreducethepricingbiases.Thisway,thegapbetweenrealoptiontheoryandthepracticeofdecisionmakingwithrespecttoinvestmentinR&Disdiminished.

  • 标签: 非齐性信息到达 R&D选择定价 双随机Poisson过程 管理弹性 实选择定理 市场
  • 简介:Inthispaper,themultiplestochasticintegralwithrespecttoaWienerD’-processisdefined.AndalsoitisshownthatforaD’-valuednonlinearrandomfunctionalthereexistsasequenceofmultipleintegralkernelssuchthatthenonlinearfunctionalcanbeexpandedbyseriesofmultipleWienerintegralsoftheintegralkernelswithrespecttotheWienerD’-process.

  • 标签: WIENER valued stochastic expanded SEPARABLE LEMMA
  • 简介:这篇文章与库仑潜在的x考虑3D-Hartree-type方程的一个家庭(?1),其起始的数据震荡以便一苛性出现。在线性几何光学盒子中,由使用Lagrangian积分,对答案在外面的一致描述苛性、近苛性被获得。给词调音:Hartree方程;几何光学;Lagrangian积分

  • 标签: Hartree方程 几何光学 Lagrangian积分 数据振荡
  • 简介:D-η-珍视向量的功能的合适的prequasi-invexity被描绘借助于(弱)将近集合的凸状和密度。在更弱的假设下面,某等价物为D-调节η-合适的prequasi-invexity被导出。

  • 标签: 凸集 半连续性 弱函数 等效条件
  • 简介:Inthispaper,least-squaxesmirrorsymmetricsolutionformatrixequations(AX=B,XC=D)anditsoptimalapproximationisconsidered.Withspecialexpressionofmirrorsymmetricmatrices,ageneralrepresentationofsolutionfortheleast-squaresproblemisobtained.Inaddition,theoptimalapproximatesolutionandsomealgorithmstoobtaintheoptimalapproximationareprovided.

  • 标签: 反射对称矩阵 最佳逼近 矩阵方程 算法
  • 简介:AbstractFortheweaklyinhomogeneousacousticmediuminΩ={(x,y,z):z>0},weconsidertheinverseproblemofdeterminingthedensityfunctionρ(x,y).Theinversioninputforourinverseproblemisthewavefieldgivenonaline.Wegetanintegralequationforthe2-Ddensityperturbationfromthelinearization.Byvirtueoftheintegraltransform,weprovetheuniquenessandtheinstabilityofthesolutiontotheintegralequation.Thedegreeofill-posednessforthisproblemisalsogiven.

  • 标签: LINEARIZATION INVERSION INTEGRAL GEOMETRY ILL-POSEDNESS