简介：粒子群算法是一种基于群体智能的随机并行算法，它在很多优化问题中都得到了比较好的应用。本文针对粒子群容易陷入局部最优解，提出了一种加入创新粒子的粒子群，实验模拟结果表明加入创新粒子的粒子群有更好的结果和收敛速度。

简介：ThenumberA（d1,…,dn）ofsolutionsoftheequation0（mod1）,0

简介：Wegiveaconstructionofthemaximum,andtheminimumofthesetofnondecreasmgapproxmantsinthediscretecase,whereisapositiveconoexfunction.Acharacterizationofthatsetisalsoobtained.

简介：让{X，Xn；n鈮?1}i.i.d的一个序列是随机变量，前=0，前2=蟽2<鈭？给Sn=X1+X2+吗？+Xn，Mn=最大k鈮鈭k鈭？n鈮?1。让n=O(1/木头木头n)。在这份报纸，我们证明那，为b>?1，

简介：Inthispaperwestudytheaverageσ-Kwidthandtheaverageσ-linearwidthoftheunitballofl1x（R）inl2α（R）.Theexactvaluesofthesewidthsarecalculatedandanoptimalsubspacewiththeoptimallinearopera-tor（fortheσ-linearwidth）areidentified.

简介：Thispaperstudiestheinteractionofshockandgradientwave(soundwave)ofsolutionstothesystemofinviscidisentropicgasdynamicsasamodelforthecorrespondingproblemsfornonlinearhyperbolicsystems.Theproblemcanbereducedtoaboundaryvalueprobleminawedgeddormain,ByusingthemethodofconstructingasymptoticsolutionsandNewton'siterationprocessitisprovedthatifaweakshockhitsagradientwave,thenthegrandientwavewillsplitintotwogradientwaves,whiletheshockcontinusespropagating.Inthispapertheauthorreducestheproblemtoastandardformandconstructsasymptoticsolutionoftheproblem.Theexistenceofthegenuinesolutionwillhegiveninthefollowingpaper.

简介：Theauthorintroducesanotionofweak1sequencesandcharacterizessuchsequencesbymeansofhomologicalmethods.ThisnotionextendsthenotionofweekM-sequencesandthusextendsthenotionsofgeneralizedCohen-MacaulaymodulesandBuchsbaummodulestomoregeneralcases.

简介：ThemultivariatesplineswhichwerefirstpresentedbydeBooorasacompletetheoreticalsystemhaveintriguedmanymathematicianswhohavedevotedmanyworksinthisfieldwhichisstillintheprocessofdevelopment.Theauthorofthispaperisinterestedintheareaofinter-polationwithspecialemphasisontheinterpolationmethodsandtheirapproximationorders.ButsuchB-splines(bothunivariateandmultivariate)donotinterpolateddirectly,soIap-proachedthisprobleminanotherwaywhichistoextendmyinterpolatingsplineofdegree2n-1inunivariatecase(See[7])tomultivariatecase.Iselectedtriangulatedregionwhichisinspiredbyothermathematicians’works(e.g.[2]and[3])andextendtheinterpolatingpolynomialsfromunivariatetom-variatecase(See[10])Inthispapersomeresultsinthecasem=2arediscussedandprovedinmoreconcretedetails.Basedonthesepolynomials,theinterpolatingsplines(itisdefinedbymeaspiecewisepolynomialsinwhichtheunknownpar-tialderivativesaredeterminedundercertaincontinuousconditions)arealsodiscussed.Theapproximationordersofinterpolatingpolynomialsandofcubicinterpolatingsplinesareinverstigated.Welunitedourdiscussionontherectangulardomainwhichispartitionedintoequalrighttriangles.Astothecaseinwhichtherectangulardomainispartitionedintounequalrighttrianglesaswellasthecaseofmorecomplicateddomains,wewilldiscussinthenextpa-per.

简介：主要研究相互粒子系统中概率测度的负相关.我们得到判定概率测度是负相关的一个充分必要条件.最后证明了具有负相关的概率测度的线性组合及乘积测度仍是负相关的.

简介：本文首先介绍了粒子群算法（PSO）的基本模型及其运行机制；然后，通过粒子迭代位移、轨迹分析和函数上的参数试验，研究了c1，c2参数对粒子行为和算法进化性能的影响，以及对粒子目标识别和方向感的影响；接着，又探讨了PSO中的解的更新空间不断塌缩、粒子的“游荡”与“振荡”、粒子进化与多样性损失等几个确定性现象和随机性搜寻的必要条件；最后，分析了早熟收敛和局部收敛的原因。通过研究，加深了对粒子群算法（PSO）基本模型运行机制的认识和对C1，c2参数特性的了解。

简介：TheauthorsconsiderthemultilinearoscillatorysingularintegraloperatordefinedbyTA1,A2,…,Akf(x)=∫R^ne^ip(x,v)k/∏/j=1Rmi(Ajix,y)(Ω(x-y))/(│x-y│^n+M)f(y)dy,whereP(x,y)isareal-valuedpolynomialonR^n×R^n,Ωishomogeneousofdegreezero,Rmj(Aj;x,y)denotesthemj-thorderTaylorseriesremainderofAjatxexpandedabouty,M=k/∑j=1mj,ItisshownthatifΩbelongstothespaceLlog^+L(S^n-1)andhasvanishingmomentuptoorderM,then‖TA1,A2,…,Akf‖q≤ck/∏/j=1(∏/│α│=mj‖D^αAj‖rj)‖f‖p,providedthat1

简介：让G是为一套素数的一个可分离的组，让N是G的正常亚群，并且让是我特性(即，无法缩减的部分特性)N。我们为G的我特性的数字获得一个必要、足够的条件在上拿可能的最大的|G:N||G:N|

简介：令人满意的概括我收缩或I-nonexpansive类型调节的军士muting自我地图的新班的普通的固定的点结果被建立。我们使用他们获得统一，延长，并且补充著名结果的几不变的近似结果。

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简介：主要引进了伪i-内射半模的定义,并根据对偶原则,参照k-投射半模及内射模的结论,得到了伪i-内射半模的一些很好的性质,从而实现了把环中内射模的某些性质在半环中内射半模方面的部分推广.

简介：用非线性分析的方法讨论了方程N（t）=N（t）[a（t）-∑ni=1bi(t)Ni(t-τi（t）)]的周期正解的存在性，所获结果包含或推广了已有的几上结论[2，3]。

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简介：Tikhonov正则化方法是求解不适定问题最为有效的方法之一,而正则化参数的最优选取是其关键.本文将混沌粒子群优化算法与Tikhonov正则化方法相结合,基于Morozov偏差原理设计粒子群的适应度函数,利用混沌粒子群优化算法的优点,为正则化参数的选取提供了一条有效的途径.数值实验结果表明,本文方法能有效地处理不适定问题,是一种实用有效的方法.

简介：TheYang-Mills-HiggsfieldgeneralizestheYang-Millsfield.TheauthorsestablishthelocalexistenceanduniquenessoftheweaksolutiontotheheatflowfortheYang-Mills-HiggsfieldinavectorbundleoveracompactRiemannian4-manifold,andshowthattheweaksolutionisgauge-equivalenttoasmoothsolutionandthereareatmostfinitesingularitiesatthemaximumexistingtime.

简介：Intheintroductionapreliminaryconsiderationofthesenseofconcepts“set”,“structure”,“system”,and“model”,aswellasoftheconnectionbetweenthemisproposedandonthebasisofitsresultsthetaskofinvestigationofabstractbasesofsystem(inparticularreconsiderationofconcept“abstractset”),ofabstractstructure,abstractsystemandofS-Modelisformulated.Thefirstsectionisdevotedtoformulationofanapproachtoconstructionofaggregatetheoryregardedasananalogofmoderateconstructivesettheory:therelations“inclusion”and“equivalence”betweenaggregatesandtheoperationsonaggregates“union”,“intersection,“difference”and“compliment”areintroduced.Definitionoftheconcept“a-system”aswellasofitsa-structureonthespaceofaggregatesisdefined.AspecialattentionisshowntosimilarityandessentialdifferencebetweenaggregatetheoryandsettheoryaswellastothefactthatthefamousparadoxesofCantorandRussellintheCantor’ssettheorytakenoplaceintheaggregatetheory.FurtheravariantofCantor’ssettheorycalledrestricteddiscretesettheoryisconsidered.Thesecondsectionisdevotedtoformulationofanapproachtoconstructionofalgebraofa-systems.Attheendtheconceptofsystemofsuccessivesystems(SSS),isintroduced.