简介：Abstract.LetSnbethesymmetricgroup

简介：InthepresentpaperthetransformationofsymmetricMarkovprocessesbysymmetricmartingalemultiplicativefunctionalsisstudiedandthecorrespondingDirichletformisformulated.

简介：Inthispaper,thefactorizationforfilterswithlengthKmofscalingfunctionsintosimpleblocksisconsidered.

简介：Thisnoteinvestigatesthemultiplicityproblemofprincipalcurvaturesofequifocalhyper-surfacesinsimplyconnectedrank1symmetricspaces.UsingCliffordrepresentationtheory,andtheauthoralsoconstructsinfinitelymanyequifocalhypersurfacesinthesymmetricspaces.

简介：ThispaperdiscussesthesolutionsofthelinearmatrixequationBTXB=Donsomelinearmanifolds.Somenecessaryandsufficientconditionsfortheexistenceofthesolutionandtheexpressionofthegeneralsolutionaregiven.Andalsosomeoptimalapproximationsolutionsarediscussed.

简介：Inthispaper,wegivetheexactlowerdensityofHausdorffmeasureofaclassofsymmetricperfectsets.

简介：Theestimateoftheeigenvaluesisgivenwhentheoff-diagonalelementsinsymmetrictridiagonalmatrixarereplacedbyzero.TheresultcanbeappliedtoQRorQLalgorithm.ItisageneralizationofJiang’sresultin1987.ThisestimateissharperthanHager’sresultin1982andcouldnotfail

简介：由使用真实简单谎言代数学的分类，我们由大小写得到限制的根大小写的摆平的长度的最大值，；因此得到部分弯曲的上面的界限紧缩的类型的无法缩减的Riemannian对称的空格。作为应用，这篇论文证实Sampson是在大多数情况中推测军士合同类型的无法缩减的Riemannian对称的空格。

简介：1.Somedefinitionsandnotions1.1.HausdorffgaugeandPackinggaugeAfuncitonh:[0.1]→Rissaidtobeadimensionfunctionifithasthefollowingproperties:(1)h(t)iscontinuousandincreasing,h(0)=0,h(t)>0whent>0.(2)thereexistsaconstantM>0,h(2t)0.

简介：Inthispaper,westudythedistortedOrnstein-UhlenbeckprocessesassociatedwithgivendensitiesonanabstractWienerspace.WeprovethatthelawsofdistortedOrnstein-UhlenbeckprocessesconvergeintotalvariationnormifthedensitiesconvergeinSobolevspaceD1/2.

简介：WeconsiderthemodificationsofthemonicHermiteandGegenbauerpolynomialsviatheadditionofonepointmassattheorigin.Somepropertiesoftheresultingpolynomialsarestudied;three-termrecurrencerelation,differentialequation,ratioasymptotics,hypergeometricrepresentationaswellas,forlargen,thebehaviouroftheirzeros.

简介：基于对称的q代表e的分析性质<潜水艇class=“a-plus-plus”>q(x),新对称的使q变形的Kadomtsev-Petviashvili(q-KP为短)与对称的q衍生物操作员联系的层次<潜水艇class=“a-plus-plus”>q被构造。而且，对称的q-CKP层次和对称的q-BKP层次被定义。作者也调查对称的q-KP层次的另外的对称。

简介：Derivativesofeigenvaluesandeigenvectorswithrespecttoparametersinsymmetricquadraticeigenvalueproblemarestudied.Thefirstandsecondorderderivativesofeigenpairsaregiven.Thederivativesarecalculatedintermsoftheeigenvaluesandeigenvectorsofthequadraticeigenvalueproblem,andtheuseofstatespacerepresentationisavoided,hencethecostofcomputationisgreatlyreduced.Theefficiencyofthepresentedmethodisdemonstratedbyconsideringaspring-mass-dampersystem.

简介：ThispaperestablishesanimprovementontheQLalgorithmforasymmetrictridiagonalmatrixTsothatwecanworkouttheeigenvaluesofTfaster.Meanwhile,thenewalgorithmdon’tworsenthestabilityandprecisionoftheformeralgorithm.

简介：Asignpatternmatrixisamatrixwhoseentriesarefromtheset{+,-,0}.Thesymmetricsignpatternmatricesthatrequireuniqueinertiahaverecentlybeencharacterized.Thepurposeofthispaperistomoregenerallyinvestigatetheinertiasetsofsymmetricsignpatternmatrices.Inparticular,nonnegativefri-diagonalsignpatternsandthesquaresignpatternwithall+entriesareexamined.AnalgorithmisgivenforgeneratingnonnegativerealsymmetricToeplitzmatriceswithzerodiagonalofordersn≥3whichhaveexactlytwonegativeeigenvalues.Theinertiasetofthesquarepatternwithall+off-diagonalentriesandzerodiagonalentriesisthenanalyzed.Thetypesofinertiaswhichcanbeintheinertiasetofanysignpatternarealsoobtainedinthepaper.Specifically,certaincompatibilityandconsecutivenesspropertiesareestablished.

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简介：两次，一个主要广场被给的顺序的五价的对称的图的一个分类。如此的一张图是coset，这被证明3.A6(非裂口延期)的图，或顺序125的一个额外专辑的组的一张bi-coset图，或顺序的特定的abelianCayley两个字母并成的一个单音的标准双盖子一个主要广场。

简介：Motivatedbyananimalterritorialitymodel,weconsideracentroidalVoronoitessellationalgorithmfromadynamicalsystemsperspective.Indoingso,wediscussthestabilityofanalignedequilibriumconfigurationforarectangulardomainthatexhibitsinterestingsymmetryproperties.Wealsodemonstratetheprocedureforperformingacentermanifoldreductiononthesystemtoextractasetofcoordinateswhichcapturethelongtermdynamicswhenthesystemisclosetoabifurcation.Bifurcationsofthesystemrestrictedtothecentermanifoldarethenclassifiedandcomparedtonumericalresults.Althoughweanalyzeaspecificset-up,thesemethodscaninprinciplebeappliedtoanybifurcationpointofanyequilibriumforanydomain.

简介：Lp为一般对称的形式的Poincaré不平等被新Cheeger的isoperimetric常数建立。Lpsuper-Poincaré不平等被介绍为Lp嵌入的协议，和经由新Cheeger为那些不平等的常数的标准被介绍。最后，集中或为这些不平等的措施的体积生长被学习。

简介：ArealLiouvilledomainisaLiouvilledomainwithanexactanti-symplecticinvolution.TheauthorscallarealLiouvilledomainuniruledifthereexistsaninvariantfiniteenergyplanethrougheveryrealpoint.Asymptotically,aninvariantfiniteenergyplaneconvergestoasymmetricperiodicorbit.Inthisnote,theyworkoutacriterionwhichguaranteesunirulednessforrealLiouvilledomains.