简介：<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.

简介：Inthisarticle,westudytheproblemsofBorel'sdirectionsofmeromorphicfunc-tionsconcerningsharedvaluesandprovethatiftwomeromorphicfunctionsofinfiniteordersharethreedistinctvalues,theirBorel'sdirectionsaresame.

简介：InthispaperwediscusstheconvergenceofamodifiedNewton’smethodpresentedbyA.Ostrowski[1]andJ.F.Traub[2],whichhasquadraticconvergenceorderbutreducesoneevaluationofthederivativeateverytwostepscomparedwithNewton’smethod.Aconvergencetheoremisestablishedbyusingaweakconditiona≤3-2(21/2)andasharperrorestimateisgivenabouttheiterativesequence.

简介：Thispaperusesgraphicmethodtoanalyzethemechanismofprimenumberformationandtheperiodiccharacteristicsofitsmultipleinnaturalnumbers.TheGoldbach’sconjectureisprovedbytheanalysisdiagrams.

简介：Letl1,l2,…,lgbeevenintegersandxbeasufficientlylargenumber.Inthispaper,theauthorsprovethatthenumberofpositiveoddintegersk≤xsuchthat（k+l1）2,（k+l2）2,…,（k+lg）2cannotbeexpressedas2n+pαisatleastc（g）x,wherepisanoddprimeandtheconstantc（g）dependsonlyong.

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简介：在这篇论文，基于高顺序的速度精力，集成和变化原则的定理，高顺序的哈密尔顿一般holonomic系统的原则被给。然后，三顺序的Lagrangian方程和四顺序的Lagrangian方程从高顺序的哈密尔顿的原则被获得。最后，哈密尔顿高顺序的Lagrangian功能的原则被给。

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简介：InthispaperaconnectivestudyofGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsispresented.ItisshownthatGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsareactuallyequivalenttoeachotherundercertainlinearsubstitutionsforthevariables.Moreover,apairofrelatedexpansionformulasinvolvingGontscharoff'sremainderandanewformofitaredemonstrated,andalsoillustratedwithseveralexamples.

简介：InthispaperwestudythesolutionsandstabilityofthegeneralizedWilson’sfunctionalequation∫_Gf(xty)dμ(t)+∫_Gf(xtσ(y))dμ(t)=2f(x)g(y),x,y∈G,whereGisalocallycompactgroup,σisacontinuousinvolutionofGandμisanidempotentcomplexmeasurewithcompactsupportandwhichisσ-invariant.Weshowthat∫_Gg(xty)dμ(t)+∫_Gg(xtσ(y))dμ(t)=2g(x)g(y)iff≠0and∫_Gf(t.)dμ(t)≠0,where[∫_Gf(t.)dμ(t)](x)=∫_Gf(tx)dμ(t).WealsostudysomestabilitytheoremsofthatequationandweestablishthestabilityonnoncommutativegroupsoftheclassicalWilson’sfunctionalequationf(xy)+χ(y)f(xσ(y))=2f(x)g(y)x,y∈G,whereχisaunitarycharacterofG.

简介：ABanachspaceoperatorsatisfiesgeneralizedRakoevi'sproperty(gw)ifthecomplementofitsuppersemiB-WeylspectruminitsapproximatepointspectrumisthesetofeigenvaluesofTwhichareisolatedinthespectrumofT.Inthisnote,wecharacterizehypecyclicandsupercyclicoperatorssatisfyingtheproperty(gw).

简介：群G的一个子群H称为在G中S-拟正规嵌入的,如果对H阶中的每一个素因子p,H的Sylowp-子群也是G的某个S-拟正规子群的Sylowp-子群.利用子群的S-拟正规嵌入性给出了群为p-幂零群及超可解群的一些特征.

简介：Inordertofacetheexpectedincreaseinstatisticsbetweennowand2005,theBabarexperimentatSLACisevolvingitscomputingmodeltowardadistributedmultitiersystem.ItisforeseenthatdatawillbespreadamongTier-AcentersanddeletedfromtheSLACcenter,Aunifromcomputingenvirommentisbeingdeployedinthecenters,thenetworkbandwidthiscontinuouslyincreasedanddatadistributiontoolshasbeendesignedinordertoreachatransferrateof-100TBofdataperyear,Inparallel,smallerTier-BandCsitesreceivesubsetsofdata,presentlyinKanga-Root[1]formatandlaterinObjectivity[2]format,GRIDtoolswillbeusedforremotejobsubmission.

简介：神经生长禁止的因素(GIF)，metallothionein家庭的一个成员(metallothionein-3，MT3)，由它的不同神经生长众所周知禁止的活动，它没被另外的MTisoforms显示出。到现在为止，然而，人们仍然不清楚地知道GIF怎么施加它的生物功能。因为GIF力量用作没有scavenger，这被报导了并且与锌的版本有关，我们的学习被与没有施主的SNOCa类型学习人的GIF和人的MT1g的反应集中于GIF和号码的相互作用，GIF是比向SNOC的MT-1g更反应的，这被发现。为了进一步弄明白，如果在这反应的GIF的高反应源于酸硷的催化作用，几异种被构造：E23K，E41G/E43A，E23K/E41G/E43A。由向SNOC学习他们的基本性质和反应，GIF的S-nitrosylation与酸硷的催化作用有关，这被发现不仅，而且到metal-thiolate簇的可接近性。

简介：也就是，这篇文章介绍理想的一个新班sπr理想。在一枚戒指的sπr理想上的每个常规方形的矩阵承认斜减小，这被显示出。

简介：Inthispaper,westudyRényi'sproblemandotherrelatedproblemsabouttheadditivefunctionsinshortintervals.Ascorollaries,weimproveIvic'sresults.

简介：ＡＲＯＮＳＯＮ＇ＳＥＳＴＩＭＡＴＥＳＡＮＤＣＯＮＤＩＴＩＯＮＡＬＤＩＦＦＵＳＩＯＮＰＲＯＣＥＳＳＥＳＱＩＡＮＺＨＯＮＧＭＩＮ（钱忠民）ＷＥＩＧＵＯＱＩＡＮＧ（魏国强）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｔａｔｉｓｔｉｃｓ，ＥａｓｔＣｈ...

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.