简介：本文讨论，f(f^（k）)^n的值分布的定量估计并改进了C.K.Tsc与C.C.Yang的一个结果。

简介：R．A．Gordon在[1]中定义了从R^1到Banach空间抽象函数的McShane积分，证明了当X不含C0时，如果，在[a，b]上MeShanef可积，则在[a．b]上Pettis可积．在这篇文章中，我们定义了从R^n到Banaach空间抽象函数的Mcshane积分。证明了fMcShane可积，则f是Pettis可积．于是我们推广了[1]的结果。

简介：首先对矩阵和其伴随矩阵的一些性质进行介绍，为后面的命题证明做一些准备；其次在文[1]的基础上给出一些更加具体的推论，并对这些推论进行证明；最后对A与A^＊的特征向量之间的关系给出了一个结果。

简介：本文证明了：当1≤k≤n/4时，n阶本原极小强连通有向图k指数的最小值是4。

简介：设节点数据{xj,yj}nj=0来自函数y=f(x),Pn+k(x)为满足插值条件Pn+k(xj)=yj,(j=0,1,…,n)的n+k次多项式插值,In(x)为分段线性插值多项式.本文在范数‖Pn(x)-f(x)‖2或‖Pn(x)-In(x)‖2意义下得出了一种最佳平方逼近的Cn+k次多项式插值P*n+k(x),并且证明了P*n+k(x)的存在唯一性及其相关性质.实践表明该方法有效地抑制了Runge现象的产生.

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简介：在求数列{1/n!(n/e)}的极限时,应用司特林(J.Stirling)公式

简介：对于X(n)=max1≤i≤n(Xi),其中Xi(1≤i≤n)独立同分布,均服从指数分布,求X(n)的数学期望和方差,本文给出了两种不同的解法,并且导出了两个恒等式.最后本文还从数学分析的角度证明了这两个恒等式.

简介：一系列α-N，有不同分子量的N-dihydroxyethylaminopropyl-ω-butylpolydimethylsiloxanes被综合。准备包括了是氢氧根保护，完化，离子的戒指洞聚合，hydrosilylation和deprotection的五步。反应产物的结构被英尺红外描绘，GC，1HNMR。

简介：Low-energypartial-waveπNscatteringdataisreexaminedwiththehelpoftheproductionrepresentationofpartial-waveSmatrix,wherebranchcutsandpolesarethoroughlyunderconsideration.Theleft-handcutcontributiontothephaseshiftisdetermined,withcontrolledsystematicerrorestimates,byusingtheresultsofO(p^3)chiralperturbativeamplitudesobtainedintheextended-onmass-shellscheme.InSnandPuchannels,severediscrepanciesareobservedbetweenthephaseshiftdataandthesumofallknowncontributions.Statisticallysatisfactoryfitstothedatacanonlybeachievedbyaddingextrapolesinthetwochannels.WefindthataSnresonancepolelocatesat√zr=(0.895±0.081)—(0.164±0.023)iGeV,onthecomplexs-plane.Ontheotherhand,aFnvirtualpole,asanaccompanyingpartnerofthenucleonbound-statepole,locatesat√zv=(0.966±0.018)GeV,slightlyabovethenucleonpoleontherealaxisbelowthreshold.Physicaloriginofthetwonewlyestablishedpolesisexploredtothebestofoiirknowledge.ItisemphasizedthattheO(p^3)calculationgreatlyimprovesthefitqualitycomparingwiththepreviousO(p^2)one.

简介：SupposethatCisthecomplexplaneandkisanon-negativeinteger.DefinefunctionsNk-(x)=|x|kifkisevenandNk(x)=x|x|k-1ifkisodd.SomeapproximationpropertiesofNk-(x)’sisdiscussedandanewexampleofaTchebycheffsystemisgivenout.

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简介：分析了带有修理设备和多重致命及非致命操作故障的k/N(G)冗余表决系统的渐近稳定性.用该系统算子生成的正定C0-半群证明了系统非负时间依赖解的存在唯一性.同时通过对系统算子谱点分布的分析,证明了本征值0对应的本征向量恰好是系统的静态解,并且,0是虚轴上系统算子唯一的谱点,从而证明了系统的渐近稳定性.

简介：在这份报纸，我们在Rn定义领域的一个班。用反映Brownian运动的同步联合，我们与Neumann边界条件获得热方程的答案的monotonicity性质。我们然后证明热点为域的这个类推测抓住。

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简介：Polystyrenemacromonomerswithdifferentmolecularweightwerepreparedbyradicalpolymerizationofstyrene(St)inbenzeneusingβ-methacryloxylethyl2-N,N-diethyldithiocarbamylacetate(MAEDCA)asamonomer-iniferter.Characterizationofthemacromonomerby~1H-NMRshowedthattheendgroupswereα-methacrylyoxylethyloxycarbonyl-methylandω-(N,N-diethyldithiocarbamyl).Themacromonomerwasdifficulttohomopolymerize,butitwaseasilycopolymerizedwithmethylmethacrylate(MMA)initiatedbyAIBNtoformgraftcopolymers(PMMA-g-PSt)withPStbranchesrandomlydistributedalongthePMMAbackbone.CopolymerizationreactionandthestructureofthegraftcopolymerswerestronglyaffectedbyM_nandconcentrationofthemacromonomer.ThecompositionandM_nofthepurifiedgraftcopolymerweredeterminedby~1H-NMRandGPCanalysis.

简介：AnewkindofpolysiloxanecontainingN,N’-bis（diphenylsilyl）tetraphenylcyclodisilazanewaspreparedbyanionicnon-equilibriumpolymerizationwitha"seedsolution"asinitiator.Themonomer,N,N’-bis（hydroxydiphenylsilyl）-tetraphenyl-cyclodisilazane（BHPTPC）,wassynthesizedviathehydrolysisofN,N’-bis（chlorodiphenylsilyl）tetraphenyl-cyclodisilazane（BCPTPC）.AnewmethodforthepreparationofBCPTPCisalsoreportedherewithhighyieldandsimplermanipulation.ThesynthesizedpolysiloxanecontainingN,N’-bis（diphenylsilyl）tetraphenylcyclodisilazanewascharacterizedby1H-NMR,29Si-NMR,gelpermeationchromatography（GPC）andintrinsicviscosity.

简介：ReactionsofCuSCNwithtetramethylthiuramdisulfideinCH3CNinthepresenceofstyreneandN,N,N',N',N'-pentamethyldiethylenetriaminegaverisetoanewcopper(Ⅰ)complexofN,N'-dimethyldithio-cabamate{[Cu(S2CNMe2)]2}n.ThetitlecompoundcrystallizedinthetriclinicP-1spacegroupwithlatticeparametersα=0.7610(4)nm,b=0.8911(4)nm,c=0.9268(5)nm,α=68.66(1)°,β=83.88(2)°,γ=79.31(2)°,V=0.5748(5)nm^3,Z=2.Thecompoundhasaunique1DchainstructurecomposedofCuSCSCuSCSeight-memberedringsandapairofCu-Sbonds,thestructureofwhichhasbeendeterminedbysingle-crystalX-raycrystallography.Theisolationofthiscompoundmayprovidesomehelpfulinformationforthecauseoftheinductionperiodsofthereverseatomtransferradicalpolymerization.

简介：Thispaperreportstwolanthanidecomplexesofformula（C9H7）Ln（C8H8）·（THF）2whereLnisProrNd,C9H7isindenyl,andC8H8iscyclooctatetraene（COT）.ThecomplexeswerepreparedbythereactionofLnCl3withK（C9H7）andK2（C8H8）inTHF.（C9H7）Pr（C8H8）·（THF）2crystallizesinTHFat-15℃inthemonoclinicspacegroupP21:withunitcelldimensionsa=8.446（0）,b=10.083（2）,c=13.407（3）,β=105.48（1）°,V=1100.43（35）3,Dc=1.52g/cm3andZ=2.ThefinalRvalueis0.033,Rwvalueis0.030,respectively.In（C9H7）Pr（C8H8）·（THF）2afive-memberedringcentroidofC9H7,theC8H8ringcentroidandthetwooxygenatomsfromthetwoTHFmoleculesformadistortedtetrahedralgeometryaroundthemetal.