简介：<正>SupposeXisasuperdiffusioninRdwithgeneralbranchingmechanism￠.andYDdenotesthetotalweightedoccupationtimeofXinaboundedsmoothdomainD.WediscusstheconditionsonψtoguaranteethatYDhasabsoluteycontinuousstates.Andforparticularψ（z）=z(l+,0DisabsolutelycontinuouswithrespecttotheLebesguemeasureinD.whereasinthecased>2+2/B.itissingular.AsweknowtheabsolutecontinuityandsingularityofY(Dhavenotbeendiscussedbefore.

简介：ＣＲＩＴＩＣＡＬＳＴＯＰＰＩＮＧＴＩＭＥＳＡＮＤＳＥＭＩＭＡＲＴＩＮＧＡＬＥＳＯＦＳＴＯＣＨＡＳＴＩＣＰＲＯＣＥＳＳＥＳＨｕＢｉｊｉｎ（胡必锦）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓＨＵＳＴＷｕｈａｎ，ＨｕｂｅｉＰ．Ｒ．Ｃ．３．１９９２）Ａ...

简介：SupposethatCisafinitecollectionofpatterns.ObserveaMarkovchainuntiloneofthepatternsinCoccursasarun.Thistimeisdenotedbyτ.Inthispaper,weaimtogiveaneasywaytocalculatethemeanwaitingtimeE(τ)andthestoppingprobabilitiesP(τ=τA)withA∈C,whereτAisthewaitingtimeuntilthepatternAappearsasarun.

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简介：Inthisarticle,wemainlydiscusstheasymptoticbehaviorformulti-dimensionalcontinuous-timerandomwalkinrandomenvironmentwithholdingtimes.Byconstructingarenewalstructureandusingthepoint'environmentviewedfromtheparticle',underGeneralKalikow'sCondition,weshowthelawoflargenumbers(LLN)andcentrallimittheorem(CLT)fortheescapespeedofrandomwalk.

简介：1.IntroductionMotiffedbysomelargedeviationresultsforbranchingparticlesystem,thelargedeviationresultsforsuperprocesseshavebeeninvestigatedrecently.CoxandGffeathll]startedtheinvestigationofthelargedevistionforcriticalbranchingBrochanmotion.IscoeIZIcarr...

简介：Recurrenteventsdataandgaptimesbetweenrecurrenteventsarefrequentlyencounteredinmanyclinicalandobservationalstudies,andoftenmorethanonetypeofrecurrenteventsisofinterest.Inthispaper,weconsideraproportionalhazardsmodelformultipletyperecurrentgaptimesdatatoassesstheeffectofcovaxiatesonthecensoredeventprocessesofinterest.Anestimatingequationapproachisusedtoobtaintheestimatorsofregressioncoefficientsandbaselinecumulativehazardfunctions.Weexamineasymptoticpropertiesoftheproposedestimators.Finitesamplepropertiesoftheseestimatorsaredemonstratedbysimulations.

简介：Thispaperstudiesonlineschedulingofjobswithkindreleasetimesonasinglemachine.Here“kindreleasetime”meansthatinonlinesetting,nojobscanbereleasedwhenthemachineisbusy.EachjobJhasakindreleasetimer(J)≥0,aprocessingtimep(J)>0andadeadlined(J)>0.Thegoalistodetermineaschedulewhichmaximizestotalprocessingtime(∑p(J)E(J))ortotalnumber(∑E(J))oftheacceptedjobs.Forthefirstobjectivefunction∑p(J)E(J),wefirstpresentalowerbound√2,andthenprovideanonlinealgorithmLEJwithacompetitiveratioof3.Thisisthefirstdeterministicalgorithmfortheproblemwithaconstantcompetitiveratio.Whenp(J)∈{1,k},k>1isarealnumber,wefirstpresentalowerboundminf(1+k)/k,2k/(1+k)g,andthenweshowthatLEJhasacompetitiveratioof1+┌k┐=k.Inparticular,whenalltheklengthjobshavetightdeadlines,wefirstpresentalowerboundmax{4=(2+k),1}(for∑p(J)E(J))and4/3(for∑E(J)).ThenweprovethatLEJis┌k┐/k-competitivefor∑p(J)E(J)andweprovideanonlinealgorithmHwithacompetitiveratioof2┌k┐/(┌k┐+1)forthesecondobjectivefunction∑E(J).

简介：Fora〈r〈b,theapproachofLiandZhou（2014）isadoptedtofindjointLaplacetransformsofoccupationtimesoverintervals（a,r）and（r,b）foratimehomogeneousdiffusionprocessbeforeitfirstexitsfromeitheraorb.Theresultsareexpressedintermsofsolutionstothedifferentialequationsassociatedwiththediffusionsgenerator.Applyingtheseresults,weobtainmoreexplicitex-pressionsonthejointLaplacetransformsofoccupationtimesforBrownianmotionwithdrift,BrownianmotionwithalternatingdriftandskewBrownianmotion,respectively.

简介：Inthispaperexhaustive-servicepriority-M/G/1queueingsystemswithmultiplevacations,singlevacationandsetuptimesarestudiedunderthenonpreemptiveandpreemptiveresumeprioritydisciplines.Foreachofthesixmodelsanalysed,theLapLace-StieltjestransformofthevirtualwaitingtimeWκ(t)attimetofclasskisderivedbythemethodofcollectivemarks.AsufficientconditionforWκ(t)/√ακdd↑→|U|,whereUhasthestandardnormaldistribution,isalsogiven.

简介：在这份报纸，我们与安装时间和多重假期认为BMAP/G/1是G队列。积极顾客和否定顾客的到达分别地跟随一个批Markovian到达过程(BMAP)和Markovian到达过程(地图)。当服务者正在工作时，一个否定顾客的到达在系统移开所有顾客。一旦系统倒空，服务器为一个假期离开并且被允许拿重复(多重)假期。由使用增补变量方法和审查技术，我们获得队列长度分布。我们也基于更新理论获得忙时期的平均数。

简介：TherepresentationofadditivefunctionalsandlocaltimesforjumpMarkovprocessesareobtained.Theresultsofuniformlyfunctionalmoderatedeviationandtheirapplicationstobirth-deathprocessesarealsopresented.

简介：ByusingLamperti’sbijectionbetweenself-similarMarkovprocessesandLevyprocesses,weprovefinitenessofmomentsandasymptoticbehaviorofpassagetimesforincreasingself-similarMarkovprocessesvaluedin(0,∞).Wealsoinvestigatethebehavioroftheprocesswhenitcrossesalevel.Alimittheoremconcerningthedistributionoftheprocessimmediatelybeforeitcrossessomelevelisproved.Someusefulexamplesaregiven.

简介：Inthispaper,weconsiderParallelMachinesSchedulingwithnonsimultaneousmachineavailabletime.WegivetheexactworstcaseperformanceboundofMLPTproposedbyLee.Furthermore,twoothermodifiedLPTalgorithmsarediscussed.Thepaperisendedbynumericalex-perimentsofthesealgorithms.

简介：Inthispaper,wepresentm-timesecant-likemulti-projectionalgorithmforsparseunconstrainedminimizationproblem.Weprovethismethodareallq-superlinearlyconvergenttothesolutionaboutm≥l.Atlast,wediscussfromsomenumericalresults,howtochoosethenumbermtodeterminetheapproximatingmatrixproperlyinpracticaluse.

简介：高等数学——重要而难学的基础课,非数学专业的理工科大学生往往这么认为。确实,数学,由于本身的抽象,使许多学生感到难以理解。特别是近年来基础课时的压缩,课堂上教师不得不放“快镜头”,学生就更感到压力大,甚至考试难以过关。

简介：智慧课堂是指以建构主义理论为依据,在大数据、云计算、物联网、移动互联网等技术的支持下,实现的智能高效的课堂[1].智慧课堂有丰富的技术手段,能够实现精准的学情分析,促进学生自主学习、合作学习,促进教与学方式的变革,但是,传统课堂中的师生互动、生生互动的氛围、精炼的板书等却是信息技术手段无法达到的效果,因此,只有将二者深度融合,才能真正实现智慧的课堂.

简介：2000年修订数学课程标准时,珠算被取消了。虽然珠算的计算功能被计算机取代了,但在珠算基础上发展起来的珠心算具有多元功能,不仅具有计算功能,还具有教育功能和开发儿童智力潜能的作用。珠算是中国传统数学的重要组成部分之一,在明代