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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：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：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：通过比较两个图的色多项式的系数（本文使用了五独立集数）、顶点集、边集、三角形和四圈的个数，证明了K（2，2．6）是色唯一图．从而部分地回答了文[5]，[7]中遗留的一个问题，并得到图K（n，n，n＋4）（n=2或n≥4）是色唯一的．

简介：Inthispaper,wegivesomedecompositionsoftriplesofZpnorZ3pnintocyclictriplesystems.Newconstructionsofdiferencefamiliesaregiven.Someinfniteclassesofsimplecyclictriplesystemsareobtainedfromthesedecompositions.

简介：ThepropertiesofPbn(n=2―30)clustersincludingbindingenergies,seconddifferencesinenergy,andHOMO-LUMOgaps,especiallyfragmentationenergiesandionizationpotentials,havebeenstudiedbyabinitiocalculation.ThemainfragmentationproductsofPbn+areshowntobePb+Pbn-1+forn≤14andtwosmallclusterfragmentsforlargeroneswithn>14.ThePb13+appearsfrequentlyastheproductsinthefragmentationsoflargeclusters.Also,thecalculatedionizationpotentialsoftheclustersareconsistentwiththeexperimentdata.

简介：Aseriesofaromaticimineswerereducedtocorrespondingaminesinexcellentyieldsby2-phenyl-N,N-dimethylbenzimidazoline(PDMBI)photochemicallyinthepresenceofmagnesiumperchloride(Mg(ClO4)2).AMg2+mediatedphotoinducedelectrontransfermechanismwasproposed.

简介：用非线性分析的方法讨论了方程N（t）=N（t）[a（t）-∑ni=1bi(t)Ni(t-τi（t）)]的周期正解的存在性，所获结果包含或推广了已有的几上结论[2，3]。

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