简介：Inthisnote,theauthorprovesthattheinverseproblemofsubmodularfunctionondigraphswithl∞objectivefunctioncanbesolvedbystronglypolynomialalgorithm.Theresultshowsthatmostinversenetworkoptimizationproblemswithl∞objectivefunctioncanbesolvedinthepolynomialtime.

简介：充满的功能方法是为连续全球优化的有效算法的一个班。在这份报纸，一个新充满的函数方法被介绍并且过去常解决整数编程。第一，分离优化的一些基本定义被给。然后，一个算法和几个测试问题上的这个算法的实现被显示出。计算结果证明算法是有效的。[从作者抽象]

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

简介：Byusingthefundamentalequationsofaxisymmetricshallowshellsofrevolution,thenonlinearbendingofashallowcorrugatedshellwithtaperunderarbitraryloadhasbeeninvestigated.ThenonlinearboundaryvalueproblemofthecorrugatedshellwasreducedtothenonlinearintegralequationsbyusingthemethodofGreen'sfunction.Tosolvetheintegralequations,expansionmethodwasusedtoobtainGreen'sfunction.ThentheintegralequationswerereducedtotheformwithdegeneratecorebyexpandingGreen'sfunctionasseriesofcharacteristicfunction.Therefore,theintegralequationsbecomenonlinearalgebraicequations.Newton'siterativemethodwasutilizedtosolvethenonlinearalgebraicequations.Toguaranteetheconvergenceoftheiterativemethod,deflectionatcenterwastakenascontrolparameter.Correspondingloadswereobtainedbyincreasingdeflectiononebyone.Asanumericalexample,elasticcharacteristicofshallowcorrugatedshellswithsphericaltaperwasstudied.Calculationresultsshowthatcharacteristicofcorrugatedshellschangesremarkably.Thesnappinginstabilitywhichisanalogoustoshallowsphericalshellsoccurswithincreasingloadifthetaperisrelativelylarge.Thesolutionisclosetotheexperimentalresults.

简介：AradialfunctioncanbeexpressedbyitsgeneratorthroughThepositivedefiniteofthefunctionplaysanimportantroteintheradialbasisinterpolation.WecannaturallyuseBochner’sTheoremtocheckifispositivedefinite.Thisrequireshoweveran-dhnensiotialFouriertransformationanditisnotveryeasytocalculate.Furthermoreinalotofcaseswewilluseforspacesofvariousdimensionstoo,thenforeveryfixednweneeddotheFouriertransformationoncetocheckifthefunctionispositivedefiniteinthen-di-mensionalspace.Thecompletelymonotonefunction:,whichisdiscussedin[4]ispositivedefiniteforarbitraryspacedimensions.Withthistechniquetvecanveryeasilycharacterizethepositivedefinite,ofaradialfunctionthroughitsgenerator.Unfortunatelythereisonlyaverysmallsubsetofradialfunctionwhichiscompletelymonotone.Thusthiscriterionexcludedalotofinterestingfunctionssuchascompactlysupportedradialfunction,whcihareveryusefulinapplic

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

简介：DuringtheHercgnianmovcment,SouthChinadevelopedintothepeakperiodofPlatformstage,whichbecameapartofthcAncicntEastChinaPlatformReSion.However,thcreepisodicallyand1ocal-lyoccurredrelativclymobilcbeltsnamcdau1acogcnsduringthispcriod.Thcseaulacogens,suchasthemiddle-lowerYangtzerivcr,thePingxian-Lcping,the

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简介：ApeaknormisdefinedforLpspacesofE-valuedBochnerintegrablefunctions,whereEisaBanachspace,andbestapproximationsfromasuntoelementsofthespacearecharacterized.Applicationsaregiventosomefamiliesofsimultaneousbestapproximationproblems.

简介：ConsiderthepiecewiselinearfiniteelementsubspaceSandparabolicsemidiscreteGreen’sfunctionofgradienttypeGh(t)∈Sk.Theasymptoticoptimalestimatedxdt

简介：变体锋利的函数估计为multilinear被建立单个不可分的操作符。这估计的二应用也被给。

简介：Intheconceptualstagethefunctiondesignprocessisrealizedbythecomputeraidedapplication.Aftersurveyingonthefunctionspecificationmethodsandthefunctionmodeling,acomputeraidedfunctiondesignenvironmentisanalyzed.Subsequentlybasedonamodulelibraryandprinciplecatalogue,asolutionfindingprocessasapartofconceptualdesignisproposedforacreativedesign.Inaddition,asearchalgorithmtofindthesolutionofadaptablefunctionstructureisalsodiscussed.Theconceptsproposedinthispapercansupportthesubsequentdesignstages,especiallysimulationforcheckingthefunctionstructuredefects.

简介：ＯＮＴＨＥＳＥＬＥＣＴＩＯＮＯＦＳＨＡＰＥＦＵＮＣＴＩＯＮＳＰＡＣＥＳＯＦＴＲＩＡＮＧＵＬＡＲＰＬＡＴＥＥＬＥＭＥＮＴＳＣｈｅｎＳｈａｏｃｈｕｎ；ＳｈｉＤｏｎｇｙａｎｇ（Ｄｅｐｔ．ｏｆＳｙｓ．Ｓｃｉ．＆Ｍａｔｈ．，ＺｈｅｎｇｚｈｏｕＵｎｉｖ．，Ｚｈｅ...

简介：§1.IntroductionandMainResultLet(X,F)beaJBrXR'-valuedvector.AssumethatwhenX=xisgiven,thereexistsaconditionaldensityofYtobedenotedbyf(y[x),whichisaBorel-measurablefunctionof(x,y).Notethatwedonotassumetheexistenceofadensityfunctionof(X,F).Let(X-i,fi),—,(Xn,Fn)bei.i.d.samplesof(X,F).Ourpurposeistoestimatef(y\x)basedonthesesamples.Thisisaninterestingprobleminviewofeitherpuretheoryorpracticalapplications.MotivatedbytheideasuggestedinkernelandNNestimationsinthetheoryofnonparametricregressionanddensityestimates,thefirstauthorproposesthefollowingtwoclassesofestimatorsoff(y\x):

简介：Sodiumnitroprussideismainlyusedtoreducebloodpressureandcontrolcardio-vasculardiseases.Thisstudyistoinvestigatetheeffectofsodiumnitroprussideonthecardiovas-cularmechanics.Eightmalemongreldogswereused.Anesthetizedwithsodiumpen-tobarbital,thedogswerecatheterizedontheleftfemoralarterytorecordbloodpres-sure.Electromagneticcuff-typeflowtransducerwasfixedonascendingaortatomea-

简介：<正>ThedifferentiabilityofanormofaBanachspacemaybecharacterizedbyitsunitsphere.Thispapergeneralizesthesegeometricconditionsofnorm’sdifferentiabilitytothecaseofaregularlocallyLipschitzfunction.

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简介：Byusingthenon-parametricleastsquaremethod,thestrongconsistentestimationsofdistributionfunctionandfailurefunctionareestablished,wherethedistributionfunctionF(x)afterlogisttransformationisassumedtobeapproximatedbyapolynomial.Theperformanceofsimulationshowsthattheestimationsarehighlysatisfactory.