简介：Abstract.LetSnbethesymmetricgroup

简介：由同时使用概括的单个值分解和正规关联分解，我们导出最佳的近似解决方案X̂的一个分析表达式，它两个都是矩阵方程A^TXA=B和最好的近似的一个最少平方的对称的直角的反对称的解决方案到给定的矩阵X*。而且，为发现这个最佳的近似答案详细被描述的一个数字算法，和一个数字例子被介绍显示出我们的算法的有效性。

简介：InthepresentpaperthetransformationofsymmetricMarkovprocessesbysymmetricmartingalemultiplicativefunctionalsisstudiedandthecorrespondingDirichletformisformulated.

简介：Inthispaper,thefactorizationforfilterswithlengthKmofscalingfunctionsintosimpleblocksisconsidered.

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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：Startingfromnonlinearequationsonthef-planecontainingfrictionaldissipationundertheBoussinesqapproximation,anewkindofgeneralizedenergyisproposedastheLyapunovfunction,andaveragesaretakenasanyfunctionsof(x,z)insteadofthecommonly-usedmeansofbilinearfunctionsof(x,z),therebyresultinginanewcriterionofgeneralizednonlinearsymmetricstability.Itshowsthatnotonlymustthedissipativecoefficientbegreaterthanacertaincriticalvaluebuttheinitialdisturbanceamplitudemustbesynchronouslysmallerthananothermarginalvalueaswell.Itfollowsthatthelatterimposesacrucialconstraintontheformer,thusleadingtothefactthatwhentheamplitudeisbiggercomparedtoanothercriticalvalue,generalizednonlinearsubcriticalsymmetricalinstabilitymayoccur.Thenewcriterioncontributesgreatlytotheimprovementofthepreviousresultsofitskind.

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：这研究介绍一个新方法识别敏感区域，它由为台风调用潮湿的潜在的涡度(MPV)的否定异例是坚定的适应观察。否定MPV的区域是对称的不稳定性区域并且能为台风作为敏感区域被拿，这被发现适应观察。在2008的三台风，Nuri，Fung-wong，和Fengshen，在MM5的帮助下被模仿模型。这些台风很好在开始的12个小时被模仿，这被显示出。把调查基于这些，MPV的计算顺序被执行。结果证明MPV的否定最大值总是绕为所有盒子的台风眼睛，它意味着敏感区域总是也在他们附近。

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：Thecompletesolutionsoftheuprightandobliquepermanentrotationsofasymmetricheavygyroscopewithperfectdissipationaregiven.TheasymptoticstabilitycriteriaandunstabilitycriteriafortheserotationsinthesenseofLiapunovandthesenseofMovchanarealsogivenonthebasisofexactnonlinearmotionequationsrespectively.Therelatedobliquerotationsarenon-isolated.Themainsubdomainsofthere-gionsofasymptoticstabilityareobtained.Therelatedbifurcationphenomenaarediscussedindetail.

简介：Usingtime-dependentcompressiblelaminarNavier-Stokesequationswithafinitevolumemethodincorporatingathird-order-accuratediscretizationscheme,theflowstructuresaroundaslenderatcertainincidencesarenumericalsimulatedandtypicalcrossflowpatternsarepresented.Atincidence10°,thesevorticalconfigurationsaredifferentatdissimilaraxiallocationsthoughtheyaresymmetric.At35°,thesymmetricvorticalstructuresstillmaintainovertheslender,yettheirinteractionatafterbodyisintensethanthatattheforebodysincethetwovorticeshavefullydevelopeddownstream.Theunstabletopologicalstructureoftrajectoryofsaddle-to-saddlepointsandmultiplelimitcyclearefurtherdiscussedintopologicalstabilitytheory.Thesestructureseasilyproducebifurcationwithperturbation.Theresultssupporttheviewofhydrodynamicinstabilityofvorticesflowfield.

简介：Thispaperpresentsatheoreticalsolutionforthebasicequationofaxisymmetricproblemsinelastodynamics.Thesolutioniscomposedofaquasi-staticsolutionwhichsatisfiesinhomogeneousboundaryconditionsandadynamicsolutionwhichsatisfieshomogeneousboundaryconditions.Afterthequasi-staticso-lutionhasbeenobtainedaninhomogeneousequationfordynamicsolutionisfoundfromthebasicequation.Bymakinguseofeigenvalueproblemofacorrespondinghomogeneousequation,afiniteHankeltransformisdefined.AdynamicsolutionsatisfyinghomogeneousboundaryconditionsisobtainedbymeansofthefiniteHankeltransformandLaplacetransform.Thus,anexactsolutionisobtained.Throughanexampleofhollowcylindersunderdynamicload,itisseenthatthemethod,andtheprocessofcomputingaresimple,effectiveandaccurate.