简介：Ｔｅａｃｈｉｎｇａｎａｌｙｓｉｓｗｉｔｈｏｕｔεσ￥ＬｅｅＰｅｎｇＹｅｅ（ＮａｔｉｏｎａｌＵｎｉｖｅｒｓｉｔｙｏｆＳｉｎｇａｐｏｒｅ）１．ＩｎｔｒｏｄｕｃｔｉｏｎＡｎａｌｙｓｉｓｉｓｖｅｒｙｏｆｔｅｎｒｅｇａｒｄｅｄａｓａｄｉｆｆｉｃｕｌｔｓｕｂｊｅ...

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简介：Inthispaper,weareinterestedinHSSpreconditionersforsaddlepointlin-earsystemswithanonzero(2,2)-thblock.WestudyanapproximationofthespectraofHSSpreconditionedmatricesandusetheseresultstoillustrateandexplainthespectraobtainedfromnumericalexamples,wherethepreviousspectralanalysisofHSSprecon-ditionedmatricesdoesnotcover.

简介：我们在场多在间隔上构造决定分析的一个具体方法。方法概括科恩，Daubechies和小瓶的相应结果[Appl.Comput。泛音肛门，1(1993)，54-81]。由分操作符的使用，构造函数的表达式是更紧缩的。而且，方法更清楚地揭示一些性质多有某些近似顺序的决定分析。

简介：E.Zeidlerin[10]mentionsthattransversalityiscertainlyoneofthemostimportantconceptsofmodernmathematics,whichprovidedananswertothequestion:whenisthepreimageofamanifoldamanifold.Thisisthecelebratedtransversalitytheorem,whichhasbeenappliedwidelytodifferentialtopologyanddynamicsystemin[1,2]and[3].

简介：Givenasetofsignals,aclassicalconstructionofanoptimaltruncatablebasisforoptimallyrepresentingthesignals,istheprincipalcomponentanalysis(PCAforshort)approach.Whentheinformationaboutthesignalsonewouldliketorepresentisamoregeneralproperty,likesmoothness,adifferentbasisshouldbeconsidered.OneexampleistheFourierbasiswhichisoptimalforrepresentationsmoothfunctionssampledonregulargrid.ItisderivedastheeigenfunctionsofthecirculantLaplacianoperator.Inthispaper,basedontheoptimalityoftheeigenfunctionsoftheLaplace-Beltramioperator(LBOforshort),theconstructionofPCAforgeometricstructuresisregularized.Byassumingsmoothnessofagivendata,onecouldexploittheintrinsicgeometricstructuretoregularizetheconstructionofabasisbywhichtheobserveddataisrepresented.TheLBOcanbedecomposedtoprovidearepresentationspaceoptimizedforbothinternalstructureandexternalobservations.Theproposedmodeltakesthebestfromboththeintrinsicandtheextrinsicstructuresofthedataandprovidesanoptimalsmoothrepresentationofshapesandforms.

简介：Areviewoftheadvanceinthetheoryofwaveletanalysisinrecentyearsisgiven.

简介：与联系的谎言点对称新(2+1)维的KdVequationu_t+3u_xu_y+u_(xxy)=0被调查。一些类似减小被解决相应特战程导出。为这个方程的Painleve分析也被介绍，孤立子答案从Baecklund转变直接被获得。

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简介：ThepaperanalyzesthetheoryandapplicationofMarkowitzMean-VarianceModelandCAPMmodel.Firstly,itexplainsthedevelopmentprocessandstandpointsoftwomodelsanddeducesthewholeprocessindetail.Then30stocksarechoosenfromShangzheng50stocksandaretestifiedwhetherthepricesofShanghaistocksconformtothetwomodels.Withthetechniqueoftimeseriesandpaneldataanalysis,theresearchonthestockriskandeffectiveportfoliobyORIGINandMATLABsoftwareisconducted.TheresultshowsthatShanghaistockmarketconformstoMarkowitzMean-VarianceModeltoacertainextentandcangiveinvestorsreliablesuggestiontogainhigherreturn,butthereisnopositiverelationbetweensystemriskandprofitratioandCAPMdoesn'tfunctionwellinChina'ssecuritymarket.

简介：Triangularsystemsplayafundamentalroleinmatrixcomputations.Ithasbecomecommonplacethattriangularsystemsaresolvedtobemoreaccurateeveniftheyareill-conditioned.Inthispaper,wedefinestructuredconditionnumberandgivestructured(forward)perturbationbound.Inaddition,wederivetherepresentationofoptimalstructuredbackwardperturbationbound.

简介：非线性的数字方法被使用解决viscous-elastic-plastic材料影响问题。有限元素模拟同意庆祝欧洲碰撞安全分析。在大变丑的复杂材料压力分发被获得了，当影响发生时。另外，以后的估计解答者和asymptotic分析被用于敏感预先上演在发生的影响前的变丑。模拟的这部分为在汽车的保护设备的被动安全很有趣。它是数学建模的重要部分。

简介：在由Brackx的最近的报纸，Delanghe；Sommen，一些基本更高维的分布在克利福德分析的框架被重新考虑，最后在欧几里德几何学的空格导致新分布的四个宽广的类的介绍。在当前的纸，我们继续这些分布的深入的学习，更明确地他们在频率空间的行为的学习，泛音分析的因此延长的古典结果。

简介：WiththedevelopmentofWeb2.0,moreandmorepeoplechoosetousetheInternettoexpresstheiropinions.Allthisopinionstogetherintoanewformtextwhichcontainsalotofvaluableemotionalinformation,thisiswhyhowtodealwiththesetextsandanalysistheemotionalinformationissignificantforus.Wegetthreemaintasksofsentimentanalysis,includingsentimentextraction,sentimentclassification,sentimentapplicationandsummarization.Inthispaper,basedontheRsoftware,weintroducedthestepsofsentimentanalysisindetail.Finally,wecollectthemoviereviewsfromtheInternet,anduseRsoftwaretodosentimentanalysisinordertojudgetheemotionaltendencyofthetext.

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简介：InthispaperamathematicalmodelofAIDSisinvestigated.Theconditionsoftheexistenceofequilibriaandlocalstabilityofequilibriaaregiven.TheexistencesoftranscriticalbifurcationandHopfbifurcationarealsoconsidered.inparticular,theconditionsfortheexistenceofHopfbifurcationcanbegivenintermsofthecoefficientsofthecharacteristicequation.ThemethodextendstheapplicationoftheHopfbifurcationtheoremtohigherdifferentialequationswhichoccurinbiologicalmodels,chemicalmodels,andepidemiologicalmodelsetc.

简介：<正>ThetruncationequationforthederivativenonlinearSchrodingerequationhasbeendis-cussedinthispaper.TheexistenceofaspecialheteroclinicorbithasbeenfoundbyusinggeometricalsingularperturbationtheorytogetherwithMelnikov’stechnique.

简介：我们在某些合理假设下面考虑有弹性的薄盘子的颤动。我们由哈密尔顿原则为这个模型导出非线性的方程。在为起始的数据的hyperbolicity上的条件下面，我们建立本地时间well-posedness为起始并且由Picard重复的边界值问题为解决方案策划，并且获得估计。

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