简介：ＡＳＹＭＰＴＯＴＩＣＢＥＨＡＶＩＯＲＯＦＯＰＥＲＡＴＯＲＳＯＦＰＲＯＢＡＢＩＬＩＳＴＩＣＴＹＰＥＩＮＬ_ｐＳＰＡＣＥＳ￥ＣＨＥＮＷＥＮＺＨＯＮＧ；ＣＵＩＺＨＥＮＬＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，Ｘｉ?..

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简介：问题：设边长为2a的正方形的中心A在直线l上，它的一组对边垂直于直线l，半径为r的⊙O的圆心O在直线l上运动，点A，O间距离为d.

简介：ThepurposeofthispaperistodisplayanewkindofsimplegraphswhichbelongtoB.inwhichanygraphhasitsorientablegenusn,n≥3.Furthermore,foranyintegerk,1≤k≤n,thereexistsagraphB^knofB.suchthatthenon-orientablegenusofB^knisk.

简介：思维是在表象、概念的基础上进行分析、综合、推理等一系列认知活动的过程，是一种隐性的心理活动，而操作则是隐性心理活动的一种显性表现．学生的数学思维，往往与他们操作时的活动过程分不开，缺少思维的活动是空虚的．在课堂教学中突出学生的操作过程，不仅可以调动学生的学习兴趣，而且可以有效地发展学生的数学思维．2013年11月，常州市高中数学陈小红名师工作室与苏州市相城区蒋智东名师工作室开展了一次联合教研活动．

简介：ＲＥＰＲＥＳＥＮＴＡＴＩＯＮＳＡＮＤＥＮＵＭＥＲＡＴＩＯＮＳＯＦＳＥＭＩＯＲＤＥＲＳＷＩＴＨＨＥＩＧＨＴＯＮＥＷｕＳｈｉｑｕａｎ（巫世权）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓＰ...

简介：Abstract,Inthispaper,anecessaryconditionforamaximaltriangularalgebratobeclosedisgiven,Anecessaryandsufficientconditionforamaxima]triangularalgebratohestronglyreducibleisobtained,

简介：ＴＨＥＣＨＥＢＹＳＨＥＶＳＰＥＣＴＲＡＬＭＥＴＨＯＤＷＩＴＨＡＲＥＳＴＲＡＩＮＴＯＰＥＲＡＴＯＲＦＯＲＢＵＲＧＥＲＳＥＱＵＡＴＩＯＮ￥ＭＡＨＥＰＩＮＧ；ＧＵＯＢＥＮＹＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｇｈａｉＵｎｉｖｅｒｓｉ...

简介：<正>Inthispaper.wegivecharacterizationsofNashinequalitiesforbirth-deathprocessanddiffusionprocessontheline.Asaby-product.weprovethatfortheseprocesses.transienceimpliesthatthesemigroupsP（t）decayas‖P（t）‖1--x≤Ct-1.SufficientconditionsforgeneralMsrkovchainsarealsoobtained.

简介：Inthispaper,weanalyzethefuzzyreliabilityofparalleling-seriessystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparalleling-seriessystemcomposedofmultiplecomponents,C1j,C2j,Cnj…,Cnj(j=1,2,…,K),especiallywhenη=1,mij=m,i=1,…n,j=1,2,…,k,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.

简介：Inthispaper,weanalyzethefuzzyreliabilityofparallelingsystem,focusingonthesituationoftheearlyfailuremode.TheearlyfailuremodeoffuzzyreliabilitymainlyobeystheWeibulldistribution.Basedonthis,weobtainthedistributionfunction,densityfunction,failurefunction,reliabilityfunctionandtheformulaofthemeantimetofailure.Fortheparallelingsystemcomposedofmultiplecomponents,C1,C2,???,Cn,especiallywhenη=1,wealsoobtainthecorrespondingformulas.Finally,weciteanexampletoverifytheformulaanddeepentheunderstanding.

简介：Thispaperpresentsaclassofhybridone-stepmethodsthatareobtainedbyusingCramer’sruleandrationalapproximationstofunctionexp(q).Thealgorithmsfallintothecatalogueofimplicitformula,whichinvolvessthorderderivativeands+1freeparameters.Theorderofthealgorithmssatisfiess+1≤p≤2s+2.Thestabilityofthemethodsisalsostudied,necessaryandsufficientconditionsforA-stabilityandL-stabilityaregiven.Inaddition,someexamplesarealsogiventodemonstratethemethodpresented.

简介：在这份报纸，我们证明在范畴之间有一个自然等价?与给定的周期的模块的过滤的复杂性1的Koszul模块的1(x)作为一个m鈥揹imensional向量空格的外面的代数学螞=鈭的因素模块，并且有限鈥揹imensional的范畴局部地m鈥?的多项式代数学的nilpotent模块1个变量。关键词外面的代数学-Koszul模块-复杂性先生(2000)题目分类16G70-在他们的第60生日奉献给教授Roberto市场铆nez鈥揤illa和RaymondoBautista的16D90这研究被NSFC#10371036并且由湖南的省的教育部的关键工程#2A024部分地支持

简介：ThisarticleconcernstheconstructionofapproximatesolutionsforageneralstochasticintegrodifferentialequationwhichisnotexplicitlysolvableandwhosecoeffcientsfunctionallydependonLebesgueintegralsandstochasticintegralswithrespecttomartingales.Theapproximateequationsarelinearordinarystochasticdifferentialequations,thesolutionsofwhicharedefinedonsub-intervalsofanarbitrarypartitionofthetimeintervalandconnectedatsuccessivedivisionpoints.TheclosenessoftheinitialandapproximatesolutionsismeasuredintheLp-thnorm,uniformlyonthetimeinterval.Theconvergencewithprobabilityoneisalsogiven.

简介：这份报纸在线和其生成器承认空必要系列的出生鈥揹eath进程上为散开进程给描述。为为一般Markov发电机的空必要系列的一些相等的条件也被讨论。关键词Markov生成器-必要光谱-紧缩的嵌入-强壮的鈥搕ype不平等先生(2000)题目分类46E35-60J60-RFDP(号码2001002707)部分地支持的60J75研究，973工程，和NSFC(号码10121101)

简介：AnanalysisonthepropertyofSelf-ScalingRankOneUpdate(SSR1)isgiven.Inviewofit,weexplorewhethertheSSR1updatewithoutusingexactlinesearchpossessesthefiniteterminationpropertywhenitisappliedtominimizeapositivedefinitequadraticobjectivefunction.

简介：Inthispaperwestudytheexistence,pathwiseuniquenessandhomeomorphismflowofstrongsolutionstoaclassofonedimensionalSDEsdrivenbyinfinitelymanyBrownianmotions,andwithYamada-Watanabediffusioncoefficientsanddistributionaldriftcoefficients.

简介：Weintroducethecategoryoft-foldmoduleswhichisafullsubcategoryofgradedmodulesoveragradedalgebra.Weshowthatthissubcategoryandhencethesubcategoryoft-Koszulmodulesarebothclosedunderextensionsandcokernelsofmonomorphisms.Westudytheone-pointextensionalgebras,andanecessaryandsufficientconditionforsuchanalgebratobet-Koszulisgiven.Wealsoconsidertheconditionssuchthatthecategoryoft-Koszulmodulesandthecategoryofquadraticmodulescoincide.

简介：Let∑,Гbetwon-by-ndiagonalmatriceswithσi,γiastheirdiagonals.Fortheinverseeigenvalueproblem:lookfory∈RnsuchthatГ+yyTissimilarto∑,weprovethatualsothesufficientconditionforthesolvabilityofthisinverseproblem.Itssolution(set)isgivenexplicitly.Insomecase,theproblemisunstable.Butweprovethatthesumsofthesquareofsomecontigiouscomponentskeepstable,i.e.,smallsumkeepssmall,largesumhasasmallrelativeperturbation,seeTheorem3.

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