简介:WeestablishtheconstructiontheoryoffunctionbaseduponalocalfieldKpasunderlyingspace.Byvirtureoftheconceptofpseudo-differentialoperator,weintroduce"fractalcalculus"(or,p-typecalculus,or,Gibbs-Butzercalculus).Then,showtheJacksondirectapproximationtheorems,BermsteininverseapproximationtheoremsandtheequivalentapproximationtheoremsforcompactgroupD(Kp)andlocallycompactgroupK+p(=Kp),sothatthefoundationofconstructiontheoryoffunctiononlocalfieldsisestablished.Moreover,theJacksontype,Bernsteintype,andequivalentapproximationtheoremsontheH?lder-typespaceCσ(Kp),σ>0,areproved;thentheequivalentapproximationtheoremonSobolev-typespaceWrσ(Kp),σ≥0,1≤r<+∞,isshown.
简介:Filledfunctionmethodisanapproachtofindtheglobalminimumofnonlinearfunctions.ManyProblems,suchascomputing,communicationcontrol,andmanagement,inrealapplicationsnaturallyresultinglobaloptimizationformulationsinaformofnonlinearglobalintegerprogramming.Thispapergivesamodifiedfilledfunctionmethodtosolvethenonlinearglobalintegerprogrammingproblem.Thepropertiesoftheproposedmodifiedfilledfunctionarealsodiscussedinthispaper.Theresultsofpreliminarynumericalexperimentsarealsoreported.
简介:这篇文章的目标是学习并且发展Saigo和Maeda在1996给的概括部分演算操作员。我们建立包含-function,Appell函数F3的产品和多项式的一个一般的类的概括部分演算公式。获得的结果提供Saxena等给的结果的统一和扩展。[13],Srivastava和Grag[17],Srivastava等。[20],并且等等。结果在紧缩的形式被获得并且在准备部分演算的操作员的一些桌子是有用的。由于Saigo-Maeda操作符,-function,和多项式的一个一般的类的一般性质包含Saigo的很多新、知道的结果部分演算操作符和几个特殊函数尤其是H功能,我功能,Mittag-Leffler功能,概括赖特hypergeometric功能,概括Bessel-Maitland功能作为我们的主要调查结果的特殊情况列在后面。
简介:自从球形的Gaussian光线的函数,严格地是积极的明确,作者使用Gaussian内核的翻译的线性联合插入内推在这篇文章的范围上的散布数据。看到目标功能通常在本国的空格外面,并且那不得不解决线性方程的一个大放大系统获得interpolant的组合系数工作,作者首先与Gaussian光线的功能关于插值探查进一些问题。然后,他们由Gaussian光线的功能构造伪插值操作符,并且得到近似的学位。而且,他们看在伪插值和插值之间的错误关系他们什么时候有一样的基础功能。最后,作者与本地支持功能讨论quasi-interpolant的构造和近似。
简介:Weproposeanultra-simpledual-channelconfigurationforsimultaneouslyevaluatingtwobranchesofamultifunctionalintegratedopticchip(MFIOC).Intheconfiguration,theMFIOCisemployedasabeamsplittertoconstructthedemodulationinterferometertogetherwitha2×2fibercoupler.InterferencehappensbetweenpolarizationmodestravelingthroughdifferentchannelsoftheMFIOC.Thecross-couplingsofeachchannelarerespectivelycharacterizedbytheinterferencepeakswhichdistributeonoppositesidesofthecentralinterferencepeak.TemperatureresponsesoftheMFIOCareexperimentallymeasuredfrom-40°Cto80°C.Resultsshowthattheproposedconfigurationcanachievesimultaneousdual-channeltransientmeasurementswithresolutionof-90dBanddynamicrangeof90dB.Inaddition,thetwochannelsoftheconfigurationhaveconsistentmeasuringperformance,andthetwobranchesoftheMFIOChavedifferentresponsestotemperaturevariation.
简介:Aradialcrackemanatingfromasemi-circularnotchisofsignificantengineeringimportance.Accuratedeterminationofkeyfracturemechanicsparametersisessentialfordamagetolerancedesignandfatiguecrackgrowthlifepredictions.Thepurposeofthispaperistoprovideanefficientandaccurateclosed-formweightfunctionapproachtothecalculationofcracksurfacedisplacementsforaradialcrackemanatingfromasemi-circularnotchinasemi-infiniteplate.Resultsarepresentedfortwoloadconditions:remoteappliedstressanduniformstresssegmentappliedtocracksurfaces.Basedonacorrectionofstressintensityfactorratio,highlyaccurateanalyticalequationsofcracksurfacedisplacementsunderthetwoloadconditionsaredevelopedbyfittingthedataobtainedwiththeweightfunctionmethod.ItisdemonstratedthattheWuCarlssonclosed-formweightfunctionsareveryefficient,accurateandeasy-to-useforcalculatingcracksurfacedisplacementsforarbitraryloadconditions.Themethodwillfacilitatefatiguecrackclosureandotherfracturemechanicsanalyseswhereaccuratecracksurfacedisplacementsarerequired.