简介：WestructureakindofrationalsplinesfarintroducingsomeofthePadeapproximenttechniquesintorationalsplines.Inthispaper,theresultsontheexistence,uniquenessandalgorithmoftherationalsplinearegivenandanumericalexampleisprovided.

简介：ThepurposeofthispaperistodisplayanewkindofsimplegraphswhichbelongtoB.inwhichanygraphhasitsorientablegenusn,n≥3.Furthermore,foranyintegerk,1≤k≤n,thereexistsagraphB^knofB.suchthatthenon-orientablegenusofB^knisk.

简介：Researchonjumpregressionfunc(?)onshasnotbeenadequateyetAccordingtotheinformationaboutthenumberofjumps,theirpositionsandjumpmagnitudes,jumpregressionfunctionscanbeclassifiedintoeighttypes.Thispaperdealsespeciallywiththesecondjumpregressionfunction.Firstofall,aconceptoftrimmedsplineestimateisproposedandwithitanL~2-consistentestimateofthesmoothingpartofthejumpregressionfunctionisobtained.ThisalongwiththeL~2-consistentestimateofjumpmagnitudeconstitutesanestimateofthesecondjumpregressionfunction.Thispaperdiscussesalsothecasethatthejumppositionshavesomeindeterminacy.Anewcriterionissuggestedanditsuniquesolutionderived.Intheend,afewnumericalresultsaregiven.

简介：上一讲中,我们借题发挥,谈及了内容与形式的重要性。这一讲中,我们亦借助这个题目,通过对这个问题的不同回答来深化一下这个讨论。从考试的情况来看,许多考生对这个问题都有自己的观点,有些还很有见解。然而,他们在表达中明显地受到了语言水平的限制,因而出现辞不达意、表达形式单调、不够自然流畅等问题。所以笔者针对考生在回答时暴露出的上

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简介：Oneofthechiefmaterialsusedintheconstructionofbuildingsandroadsiseement(水泥),apowdermademainlyfromlimestone(石灰石)andclay(粘土).EventheancientEgyptiansandRomans(罗马人)usedakindofcement,butitwasnotuntil1824thatanEnglishbricklayer(泥瓦匠)developedacementstrongenoughformodemroadsandbuilding.

简介：JapanismadeupofachainofislandsthatlieoffthecoastofAsia.PeoplecametoliveinJapanfromthenearbycountriesofChinaandKorea.Fromtheseoldercountries,theJapaneseborrowedideas,inventionsandhabits.

简介：Deadlockmustbeavoidedinamanufacturingsystem.Inthispaper,anefficientalgorithmforfindinganoptimaldeadlock-freeschedulesinamanufacturingsystemwithverylimitedbufferispresented.Thisalgorithmisbasedonheeffectivegeneticalgorithm(GA)searchmethod,andaformalPetrinetstructureisintroducedtodetectthetokenplayerassuringdeadlock-free.InordertomaketheschedulingstrategygeneratedbyGAmeettherequiredconstraintofdeadlock-free,someresultsofthestruetureanalysisofPetrinetareinvolvedasacriteriontoselectdeadlock-freeschedulefromthepopulationgeneratedbyGA.Theeffectivenessandefficiencyoftheproposedapproachisillustratedbyusinganexample.

简介：ThesufficientconditionsofHoldercontinuityoftwokindsoffractalinterpolationfunctionsdefinedbyIFS(IteratedFunctionSystem)wereobtained.Thesufficientandnecessaryconditionforitsdifferentiabilitywasproved.ItsderivativewasafractalinterpolationfunctiongeneratedbytheassociatedIFS,ifitisdifferentiable.

简介：WeproposethevariationaldescriptionofgeneratingfunctionapproachoffirstkindforHamil-tonianODEs,andextendtheapproachtothesemi-linearwaveequations.Inthisway,wecanconstructanyfiniteorderaccuracyscheme,andshowthattheresultingnumericalschemeismultisymplectic.Atlast,wepresentsomenumericalexperimentsbyusingderivednewscheme.

简介：Inthisnote,wedefineanewkindofspacesTFofTriebel-LizorkintypeandcharacterizeitviasequencespacelpAlsoaFouriermultipliertheoremisestablishedinthisnewspacesTFpaq

简介：一.Can的用法1.表能力:Shecanlookafterherselfnow.Socanherbrother.2.表许可、请求一CanIsithere?一Yes,youcan.在这里can=may。3.表推测例:Hecan'tbeanAmerican.HespeaksAustralianEnglish!

简介：TheauthorsfirstproveaconvergenceresultontheKacanovmethodforsolvinggeneralnonlineaxvafiationalinequalitiesofthesecondkindandthenapplytheKacanovmethodtosolveanonlinearvariationalinequalityofthesecondkindarisinginelastoplastieity.Inadditiontotheconvergenceresult,anaposteriorierrorestimateisshownfortheKacanoviterates.IneachstepoftheKacanoviteration,onehasa(linear)variationalinequalityofthesecondkind,whichcanhesolvedbyuaingaregularizationtechnique.TheKacanoviterationandtheregularizationtechniquetogetherprovideapproximationswhichcanbereadilycomputednumerically.AnaposteriorierrorestimateisderivedforthecombinedeffectoftheKacanoviterationandtheregularization.

简介：§1.IntroductionItisknownthatthefollowingCauchyproblemforaparabolicpartialdifferentialequation(wherethevaluesattherightboundary,u.(1,t)=v(t)areunknownandsoughtfor)isill-posed:thesolution(v)doesnotdependcontinuouslyonthedata(g).Inordertotreattheill-posednessanddevelopthenumericalmethod,onereformulatestheproblemasaVolterraintegralequationofthefirstkindwishaconvolutiontypekernel(seeSneddon[1],CarslawandJaeger[2])

简介：Inthispaper,anumericalanalysisoffiniteelementmethodsforFredholmequationsofthefirstkind,whichisbaseduponregularization,ismade.Itshowsthatextrapolationalgorithmscanacceleratetheconvergenceofapproximatesolutions.

简介：ＦｕｚｙＬｏｇｉｃＢａｓｅｄＥｖｏｌｖｉｎｇＳｙｓｔｅｍａｎｄＯｎｅＫｉｎｄｏｆＣｏｍｐｅｔｉｔｉｏｎＭｅｃｈａｎｉｓｍＺｈｏｎｇｘｉｏｎｇ，ＨｕＷａｎｊｕｎ＆ＰｅｎｇＦｅｉＡｕｔｏｍａｔｉｏｎＳｙｓｔｅｍＩｎｓｔｉｔｕｔｅ，ＮｏｒｔｈｅｒｎＪｉａｏ...

简介：Conjugategradientmethods.areaclassofimportantmethodsforunconstrainedoptimization,especiallywhenthedimensionislarge.In2001,DaiandLiaohaveproposedanewconjugatecondition,basedonittwononlinearconjugategradientmethodsareconstructed.Withtrustregionidea,thispapergivesaself-adaptivetechniqueforthetwomethods.Thenumericalresultsshowthatthistechniqueworkswellforthegivennonlinearoptimizationtestproblems.

简介：Wepresentafastalgorithmbasedonpolynomialinterpolationtoapproximatematricesarisingfromthediscretizationofsecond-kindintegralequationswherethekernelfunctioniseithersmooth,non-oscillatoryandpossessingonlyafinitenumberofsingularitiesoraproductofsuchfunctionwithahighlyoscillatorycoefficientfunction.Contrasttowavelet-likeapproximations,ourapproximationmatrixisnotsparse.However,theapproximationcanbeconstrucedinO(n)operationsandrequiresO(n)storage,wherenisthenumberofquadraturepointsusedinthediscretization.Moreover,thematrix-vectormultiplicationcostisoforderO(nlogn).Thusourschemeiswellsuitableforconjugategradienttypemethods.Ournumericalresultsindicatethatthealgorithmisveryaccurateandstableforhighdegreepolynomialinterpolation.

简介：ThispaperdealswiththeapproximatesolutionoftheFredholmequationLu=fofthesecondkindwithf∈H’(Γ).First,wegivetheorderofthen-theoptimalradiusintheworstcasesetting.Then,weshowthattheGalerkinmethodusing2n+1innerproductsoffhasminimalerror.Finally,wegivetheestimateoftheε-complexityoftheFredholmproblemofthesecondkindandGalerkinmethodintheworstcasesetting.

简介：最近，Brutman和Passow认为Newman类型合理插值是to|x|由对称的节点的任意的集合导致了在[-1,1]并且给了近似错误的一般评价。由他们的方法，一个人能为一些特殊节点建立近似的准确顺序。在我们考虑插值节点是第二种类型的零个Chebyshev多项式并且在这种情况中证明那的特殊情况的现在的纸，近似的准确顺序是O(1/(nlnn))。