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

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

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

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.

简介：

简介：Theone-waymultivariaterepeatedmeasurementsanalysisofvariance(1-wayMRMANOVA)modelforcompletedataandthesphericitytestarestudied.

简介：让S是包含一刺x的Riemann表面。让是S上的简单关上的geodesics的收集，并且让表示在S上在对身份同位素的S上印射班的集合{x}。关于曲线c由tc表示积极Dehn扭曲。在这份报纸，作者学习形式的产品(tbmtn)fk一，b和f。如果，看见那是容易的=b或一，b是S上的刺穿x的柱体的边界部件，那么，一个人可以发现一个元素f以便顺序(tbmtn一)fk无穷地包含Dehn扭曲的许多力量。作者证明converse陈述仍然保持真，也就是说如果顺序(tbmtn)fk无穷地包含Dehn扭曲的许多力量，那么一，b一定是S上的刺穿x的柱体的边界部件，f是旋转地图tb的力量1t一。

简介：Basedonanimprovedorthogonalexpansioninanelement,anewerrorexpressionofn-degreefiniteelementapproximationuhtotwo-pointboundaryvalueproblemisderived,andthensuperconvergenceoftwoorderforbothfunctionandderivativesareobtained.

简介：这篇论文在一种尺寸考虑Schroedinger泊松系统的一个家庭，其起始的数据震荡以便一苛性出现。由使用Lagrangianintegrals，作者在外面获得对答案的一致描述苛性、近苛性。

简介：LetGbeaPolyafrequencydensityandGitsperiodization.Wegettheexactvalueofupperapproxi-mationofS1（G）,whichisaconvolutionclasswithkernelG.bycardinalsplinescprrespndingtoG.SimilarresulthasbeenobtainedforperiodicconvolutionclasswithkernelGaswell.