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

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简介：Inthispaper,therelationshipbetweenRiemann-Liouvillefractionalintegralandthebox-countingdimensionofgraphsoffractalfunctionsisdiscussed.

简介：Inthispaper,theauthorsintroduceakindofreduciblealgebroidfunctions,thatisgeneralalgebroidfunctionsandobtaintwofundamentaltheoremsofgeneralalgebroidfunctions.Atlast,asanapplication,wegeneralizedatheoremofLiGuoping’s.

简介：ThispapergivesamethodofdescentforthelocallyLipschitzianfunction.Itisassumedthatthegeneralizedsubgradientsetofthedifferentiablepointisasingletonpoint.Weintroduceanimplementablealgorithmwhichisgloballyconvergent.Numericalexamplesshowtheimplementationandefficiencyofthealgorithm.

简介：Inordertoconstructestimatingfunctionsinsomeparametricmodels,thispaperintroducestwoclassesofinformationmatrices.Somenecessaryandsufficientconditionsfortheinformationmatricesachievingtheirupperboundsaregiven.Fortheproblemofestimatingthemedian,someoptimumestimatingfunctionsbasedontheinformationmatricesareacquired.Undersomeregularityconditions,anapproachtocarryingoutthebestbasisfunctionisintroduced.Innonlinearregressionmodels,anoptimumestimatingfunctionbasedontheinformationmatricesisobtained.Someexamplesaregiventoillustratetheresults.Finally,theconceptofoptimumestimatingfunctionandthemethodsofconstructingoptimumestimatingfunctionaredevelopedinmoregeneralstatisticalmodels.

简介：在这份报纸，作者显示出古典希腊语的第二十三个字母功能，几已知的结果被改进和一些的某monotonicity和凹度新asymptotically锋利的估计为这功能被获得。另外，把新结果用于希腊语的第二十三个字母功能，作者为Eulers的近似评估改进著名更低、上面的界限经常。

简介：ThepurposeofthispaperistoverifytheSmulyanlemmaforthesupportfunction,andalsotheGateauxdifferentiabilityofthesupportfunctionisstudiedonitsdomain.Moreover,weprovideacharacterizationofFrechetdifferentiabilityofthesupportfunctionontheextremalpoints.

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.

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简介：让M是增加由的操作符在在开的单位磁盘上分析的函数的一个Hilbert空格。为为增加操作员Mz的不变的subspaceF，我们导出一些光谱增加操作员M的性质：FF。当F与n有codimensionn性质时，我们描绘标准，光谱，必要标准和如此的操作员的必要光谱{1，2，，+}。

简介：Filledfunctionmethodisanapproachtofindtheglobalminimumofnonlinearfunctions.ManyProblems,suchascomputing,communicationcontrol,andmanagement,inrealapplicationsnaturallyresultinglobaloptimizationformulationsinaformofnonlinearglobalintegerprogramming.Thispapergivesamodifiedfilledfunctionmethodtosolvethenonlinearglobalintegerprogrammingproblem.Thepropertiesoftheproposedmodifiedfilledfunctionarealsodiscussedinthispaper.Theresultsofpreliminarynumericalexperimentsarealsoreported.

简介：在这份报纸，我们建立几不平等为概括线性失真功能(一，K)由使用某些联合的monotonicity和凸状(一，K)

简介：Risler&Trotmanin1997provedthatthemultiplicityofananalyticfunctiongermisleft-rightlipschitzinvariant,whichprovidedapartialanswertoZariskiconjecture.Inthisnote,basedontherecentworkofComte,Milman&Trotman,wegeneralizetheworkofthemtoprovethatthemultiplicityofaC~∞-differentiablefunctiongermisalsoleft-rightlipschitzinvariant.

简介：在处理的地球物理和图的一些数学模型需要在范围上与散布数据计算积分。因此，求容积法公式在计算这些球形的积分起一个重要作用。这份报纸被奉献给为球形的基础函数网络建立一个准确积极求容积法公式。作者为球形的基础函数网络给准确积极求容积法公式的一个存在证明，并且证明在求容积法公式需要的求容积法点不比散布数据的数字大。

简介：代数学的独立被证明，在此胃1，。..，胃s与代数学的元素是代数学的数字，或某些先验的继续的部分的某些差距系列或力量系列。关键词代数学的独立-指数的功能-差距系列-力量系列-继续的部分-代数学的数字先生(2000)题目分类11J85-11J91由中国(号码10571180)的NNSF支持了

简介：Inthispaper,wegivesomecreativecharacterizationsofCampanatospacesviatheboundednessofcommutatorsassociatedwiththeCalder′on-Zygmundsingularintegraloperator,fractionalintegralsandHardytypeoperators.Furthermore,weputforwardafewproblemsonthecharacterizationsofCampanatotypespacesviatheboundednessofcommutators.

简介：TheConwaypotentialfunction(CPF)forcoloredlinksisaconvenientversionofthemultivariableAlexander–Conwaypolynomial.WegiveaskeincharacterizationofCPF,muchsimplerthantheonebyMurakami.Inparticular,Conway’s"smoothingofcrossings"isnotintheaxioms.Theproofusesareductionschemeinatwistedgroup-algebraP_nB_n,whereB_nisabraidgroupandP_nisadomainofmulti-variablerationalfractions.Theproofdoesnotusecomputeralgebratools.Aninterestingby-productisacharacterizationoftheAlexander–Conwaypolynomialofknots.

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

简介：这份报纸为可逆二次的系统的一个类被奉献给时期函数的学习$\begin{聚在一起}\dotx=-2xy，\hfill\\\doty=k-1-2kx+\left({k+1}\right)x^2-\tfrac{1}{2}y^2。\hfill\\\end{聚在一起}$\begin{聚在一起}\dotx=-2xy，\hfill\\\doty=k-1-2kx+\left({k+1}\right)x^2-\tfrac{1}{2}y^2。\hfill\\\end{聚在一起}