简介:AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.
简介:Inthispaper,weusethedeformationmethodandG-equivarianttheorytoprovetheexistenceandmultiplicityofharmonicmapsfromanannulustotheunitsphereinR~3withsymmetricboundaryvalue.Inparticular,wecangetinfinitelymanyhomotopicallydifferentharmonicmapsiftheboundaryvalueisS~1-equivariantandnonconstant.
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简介:ThispaperpresentsthelimitingexpressionforthegencalizedinverseAT.S(2)anditscorresgondingprojectorsSincecomononimnortorsinverses,suchasandAT.S(2)etcareallgeneralizedineeAT.S(2)Infact,wegiveaunifiedlimitingformulaofcomputinesuchimporiantgeneralinedinversesanditscorrespondingproiectors,BasedonthisweestalishandimbedlingmethodfirecompotingthegeneralizedinverseAT.S(2)Theresultsextendearlierworkbyvariousauthors.
简介:Undertheframeofthe(2+1)-dimensionalzerocurvatureequationandTumodel,the(2+1)-dimensionaldispersivelongwavehierarchyisobtained.Furthermore,theloopalgebraisexpandedintoalargerone.Moreover,aclassofintegrablecouplingsystemfordispersivelongwavehierarchyand(2+1)-dimensionalmulti-componentintegrablesystemwillbeinvestigated.
简介:Thechangingofthescatteringdataforthesolutionsofsu(2)solitonsystemswhicharerelatedbyaclassicalDarbouxtransformation(CDT)isobtained.ItisshownthathowaCDTcreatesanderasesasoliton.
简介:ByusingtheperturbationresultsofsumsofrangesofaccretivemappingsofCalvertandGupta(1978),theabstractresultsontheexistenceofsolutionsofafamilyofnonlinearboundaryvalueproblemsinL^2(Ω)arestudied.TheequationdiscussedinthispaperandthemethodsusedhereareextensionandcomplementtothecorrespondingresultsofWeiLiandHeZhen'spreviouspapers.Especially,somenewtechniquesareusedinthispaper.
简介:对于给定的图H,若存在可图序列π的一个实现包含H作为子图,则称π为蕴含H-可图的.Gould等人考虑了下述极值问题的变形:确定最小的偶整数σ(H,n),使得每个满足σ(π)≥σ(H,n)的n项可图序列π=(d1,d2,…,dn)是蕴含H-可图的,其中σ(π)=∑di.本文刻划了蕴含K4+P2-可图序列,其中K4+P2是向致的一个顶点添加两条悬挂边后构成的简单图.这一刻划导出σ(K4+P2,n)的值.