简介：Inthispaper,theauthorsobtainacharacteristicthatacompleteRiemannianmanifoldturnsintoahyperbolicspaceform.

简介：如果也就是，它满足二个条件，在联合起来的范围的脐带免费的亢奋的表面被称为Möbiusisoparametric它有消失的Möbius形式并且有经常的Möbius主要弯曲。在这篇论文，在有经常的Möbius主要弯曲的条件下面，如果并且仅当它的Möbius形式关于它的Möbius度量标准的Levi-Civita连接是平行的，我们证明亢奋的表面具有消失的Möbius形式。而且，典型例子被构造证明有经常的Möbius主要弯曲和有消失的Möbius形式的条件独立于对方。

简介：在这篇论文，由介绍等轴的联盟者Pc0性质，集中定理的一种分离形式被介绍；结果概括；在最近的年里统一几个有趣的结论。

简介：<正>Propertiesofcontinuoussolutionsofasecondorderpolynomial-likeiteratedfunctionalequationaregivenbyconsideringitscharacteristic.Ausefulmethodtodiscussthegeneralcaseisdescribedindeedinthisprocedure.

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简介：Thispaperproposesasortofnewnormalformsconsistingofobserverformandcontrollableformfornonlinearsystems.Theconditionsfortransformingtothesenormalformsaregiven,respectively.Thesenormalformsareusedtotreattheproblemsofobserverdesignandlinearization.Thefirstpartofthispaperdealswiththeobserverform,andthesecondthecontrollableform.

简介：Consideringtheproblemofmoderanksrevealingofd-dimensionalarray(tensor)givenincanonicalform,weproposefastalgorithmbasedoncrossapproximationofGrammatricesofunfoldings.

简介：RationalBéziersurfaceisawidelyusedsurfacefittingtoolinCAD.WhenalltheweightsofarationalBéziersurfacegotoinfinityintheformofpowerfunction,thelimitofsurfaceistheregularcontrolsurfaceinducedbysomeliftingfunction,whichiscalledtoricdegenerationsofrationalBéziersurfaces.Inthispaper,westudyonthedegenerationsoftherationalBéziersurfacewithweightsintheexponentialfunctionandindicatethedifferenceofourresultandtheworkofGarc′?a-Puenteetal.Throughthetransformationofweightsintheformofexponentialfunctionandpowerfunction,theregularcontrolsurfaceofrationalBéziersurfacewithweightsintheexponentialfunctionisdefined,whichisjustthelimitofthesurface.Comparedwiththepowerfunction,theexponentialfunctionapproachesinfinityfaster,whichleadstosurfacewiththeweightsintheformofexponentialfunctiondegeneratesfaster.

简介：Inthispaper,therigiditytheoremsofthesubmanifoldsinS^n+pwithparallelMoebiusformandconstantMObiusscalarcurvaturearegiven.

简介：Inthispaper,thenewcoupledMKdVhierarchyandtheirLsxpairsareoinained,Throughintroducingasuitablecomplexformofsymplecticstructure[5,8],anewintegraHesys-temofthecomplexformintheLiouvillesenseisgenerated.Moreover,therepresentationsofthesolutionforthecoupledMKdVhierarchyaregivenbytheinvohifivesolutionsofthecommutable.

简介：Inthispaper,weconsiderageneralformoftheincrementsforatwo-parameterWienerprocess.BoththeCsorgo-Revesz'sincrementsandaclassofthelagincrementsarethespecialcasesofthisgeneralformofincrements.OurresultsimplythetheoremthathavebeengivenbyCsorgoandRevesz(1978),andsomeoftheirconditionsareremoved.

简介：在这份报纸，我们在一个减少的形式模型与counterparty信用风险学习大祸选择的价格。我们假设损失过程被一个二倍地随机的泊松过程产生，股票价格过程通过被相关到损失过程，利率过程和缺省的一个跳散开过程被建模紧张过程通过Vasicek模型被建模。我们在一个减少的形式模型为定价大祸选择导出关上的形式公式。而且，我们在明确的公式上使一些成为数字分析。

简介：Inthisarticle,itisshownthatthereexistsauniqueviscositysolutionoftheCauchyproblemforadegenerateparabolicequationwithnon-divergenceform.

简介：在对称的散开过程X的上下文，我们给对使X遭到到坡度类型的飘移转变获得的过程的Dirichlet形式的精确描述。这描述依靠限制一种联系思考Dirichlet形式的边界类型条件。

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简介：一个单圈图G的邻接矩阵是奇异的当且仅当G含完美匹配和4m(m∈N)阶圈,或G和从G中删去唯一圈中的顶点及其关联边后得到的导出子图均不含完美匹配.单圈图的邻接矩阵的最大行列式是4.

简介：Inthispaper,theGH-congruencecanonicalformsofpositivesemidefiniteanddefinteiniteanddefinite(neednotbeself-conjugate)quaternionmatricesaregiven,andaneccessaryandsufficientconditionofGH-congruencefortwopositivesemidifinite(definite)quaternionmatricesisgivenalso.ThensimultaneousGH-congruencereducedformsfortwoself-conjugatematri-cesandsomeresultaboutthesimultaneousGH-congruencediagonalizationofquaternionmatricesareobtained.

简介：Thispaperisconcernedwiththeproblemofabsolutestabilityforacontrolsystemwithseveralexecutiveelements.NecessaryandsufficientconditionsareobtainedfortheexistenceofLiapunovfunctionofLur’eformwithnegativesemi--definitederivative(i.e.V≤0).

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