简介：Hereweexploresomefundamentalaspectsofwhatmaybetermedasanewarithmeticfunction（definednotionallyastheTfunction）togetherwithitspossibleinverse（TI）,asitisnotinfrequentdiscussionamongthenumbertheorists.

简介：我们描述在模糊集合和代数学的亢奋的结构之间的关系。事实上，这篇论文是Davvaz介绍在的想法的继续(模糊集合Syst，117：477-484，2001)并且Bhakat和Das在(模糊集合Syst，80：359-368，1996)。有一个珍视间隔的模糊集合的模糊间隔价值的伪巧合的概念被介绍，这是在模糊集合的一个模糊的点的伪巧合的自然归纳。由使用这个新想法，这个概念珍视间隔(α，β)一个亢奋的模块的模糊sub-hypermodules被定义。这最新定义珍视间隔(α，模糊sub-hypermodule是的β)平常的模糊sub-hypermodule的归纳。我们将学习如此的模糊sub-hypermodules并且考虑一个亢奋的模块的基于含意的珍视间隔的模糊sub-hypermodules。

简介：ThepurposeofthispaperistogivearelativelyelementaryanddirectproofoftheDeltaInequality,whichplaysaveryimportantroleinthestudyoftheextremalproblemofquasiconformalmappings.

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简介：Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.

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简介：ThispapershowsanumberofproblemsinpureandappliedmathematicsthataresolvedbyconstructingtransportationnetworksMoreover,italsoshowsthatallthesolutionsarecharacterizedbyforbiddenconfiguratlozzwhicharenotminors.However,allthecharacterisationsaremuchrelatedtothegraphicmethodwhichwasfoundbyChineseforsolvingakindofthetransportationprobleminthefifties.

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简介：InthispaperwedevelopeatheoryofnewgeneralizedfunctionsbyusingNonstandardAnalysiswhichiscloselyrelevanttothatofColombeau’snewgeneralizedfunctions.

简介：Inthispaper,weintroducenewsufficientconditionsforcertainintegraloperatorstobestarlikeandp-valentlystarlikeintheopenunitdisk.

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简介：在现在的纸，作者介绍让步的新不可分的变换很多潜在地有用(知道或新)不可分的transfoms作为它的特殊情况。关于这新不可分的变换的许多基本结果，在这份报纸被建立，包括(例如)存在定理，Parseval类型关系和倒置公式。在有H功能和H变换的新不可分的变换之间的关系借助于一些不可分的身份被描绘。介绍变换也被用来发现答案到某个微分方程。一些解说性的例子也被给。

简介：<正>InstructionstoAuthorsSubmissionTypescriptsshouldbesubmittedinduplicatetotheEditorialBoardofActaMathematicaSinica(NewSeries),InstituteofMathematics,CAS,Beijing100080,China.TypescriptsshouldbetypedinEnglish,doublespacedandsingle-sidedonA-4sheetsandshouldbenumberedbeginningwiththetitlepage.Thefirstpageofanarticleshouldcontainonly(1)thetitleofthepaper,thename(s)

简介：ThispaperrecordsfortheHamiltonianH=1/2｜P｜^2＋W（x）someoldandnewidentitiesrelevantforthePDE/variationalapproachtoweakKAMtheory.

简介：AnalyticalsolutionisobtainedforAmbartsumianequationinthispaper.Thisequationisofapplicationinastronomy.Theobtainedsolutionhasmanyadvantagesoverthepublishedoneintheliteratureasshownbyseveralcomparisons.

简介：Thispaperusesgraphicmethodtoanalyzethemechanismofprimenumberformationandtheperiodiccharacteristicsofitsmultipleinnaturalnumbers.TheGoldbach’sconjectureisprovedbytheanalysisdiagrams.

简介：现在的纸建议一个新自然弱条件代替thequasimonotone和O定期变化的伪单调条件，并且显示出主要结果的结论在[10]静止抓住。而且，我们证明任何O定期变化的伪单调条件暗示这个条件，这样tnequasimonotonicity的含糊的牵连能在实践被避免。

简介：Borderedlinearsystemsarisefrommanyindustrialapplications,suchasreservoirsimulationandstructuralengineering.TraditionalILUpreconditionerswhichthrowawaytheadditionalequationsareoftentoocrudeforthesesystems.WedescribeapracticalimplementationofILUpreconditionerswhicharemoreaccurateandmorerobust.Theemphasisofthispaperisonimplementationratherthanontheory.

简介：Inthispaper,byusinganewprojection,weconstructavariantofZhang’salgorithmandproveitsconvergence.Specially,thevariantofZhang’salgorithmhasquadraticterminationandsuperlinearconvergenceraleundercertainconditions.Zhang’salgorithmhasn’ttheseproperties.

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