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

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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：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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简介：Thetwocompounds,2,2-dimethyl-4-S-(N,N-dimethyldithiocarbamato)-5-(1,2,4-triazol-l-yl)-propione(1)and2,2-dimethyl-4-S-(N,N-diethyldithiocarbamato)-5-(1,2,4-triazol-1-yl)-3-propione(2),werepreparedbyreactingN,N-dialkyldithiocarbamatesodiumwith2,2-dimethyl-4-bromo-5-(1,2,4-triazol-1-yl)-propione.Theirstructureswereidentifiedbyelementalanalysis,IRand^1HNMRspectroscopy.Thestructureof1hasbeendeterminedbyX-raysinglecrystalstructureanalysis.ItcrystallizesinmonoclinicsystemwithspacegroupP21/c,a=1.2315(3)nm,b=1.2057(2)nm,c=1.2532(3)nm,β=118.55(3)°,Z=4,V=1.6345(6)nm^3,Dc=1.221g/cm^3,μ=0.324mm^-1,F(000)=640,finalR1=0.0449.ThereisobviouspotentiallyweakC—H...Nintermolecularinteractioninthecrystal,whichstabilizesthecrystalstructure.Theresultofthebiologicaltestshowedthatthetwocompoundshavefungistasisandplantgrowthregulatingactivities.

简介：<正>WeintroducecertainCalderón-Zygmund-typeoperatorsanddiscusstheirboundednessonspacessuchasweightedLebesguespaces,weightedweakLebesguespaces,weightedHardyspacesandweightedweakHardyspaces.Thesharpnessofsomeresultsisalsoinvestigated.

简介：Letr,1p={f:fr-1isabs.cont.onI=[a,b],fisperiodiewithperiodH（=b-a）,f（x1）=0,‖f（r）‖p≤0},wherex1isanyfixedpointin[a,b].TheauthorfindstheKolmogorov,Gel’land,linear,andBerusteinn-widthsofr,1pinLp（I）fornodd,∞>p>1.Theoptimalsubspacesandoperatorsarealsofound.

简介：ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.

简介：Inthispaper,alargeclassofndimensionalorthogonalandbiorthognalwaveletfilters(lowpassandhighpass)arepresentedinexplicitexpression.Wealsocharacterizeorthogonalfilterswithlinearphaseinthiscase.Someexamplesarealsogiven,includingnonseparableorhogonalandbiorthogonalfilterswithlinearphase.

简介：Wetrytoapplyaconstituentquarkmodel(avarietychiralconstituentquarkmodel)andtheresonatinggroupapproachforthemulti-quarkproblemstocomputetheeffectivepotentialbetweentheNN-inS-wave(thequarksinthenucleonsNandN-,andthetwonucleonsrelativelyaswell,areinSwave)soastoseethepossibilityiftheremaybeatightboundstateofsixquarksasindicatedbyastrongenhancementatthresholdofpp-inJ/ψandBdecays.TheeffectivepotentialwhichweobtainintermsofthemodelandapproachshowsiftheexperimentalenhancementisreallycausedbyatightS-waveboundstateofsixquarks,thenthequantumnumberoftheboundstateisverylikelytobeI=1,JPC=0-+.

简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：方案1：“窝里K”成本：一部CD机，一副嗓子总需经费：CD机＋唱片卡担是条狗，当钱包开始瘪的时候，我们开始强烈赞同冯大导演这句话。个人演唱会不是明星的专利啊，

简介：ＳＯＭＥＩＮＴＥＧＲＡＬＩＮＥＱＵＡＬＩＴＩＥＳＩＮＮＩＮＤＥＰＥＮＤＥＮＴＶＡＲＩＡＢＬＥＳＹＡＮＧＥＮＨＡＯ（杨恩浩）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｔｃｓ，ＪｉｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｇｎａｎｇｚｈｏｕ５１Ｏ６３２，Ｃｈｉｎａ）Ａ...

简介：Aggregationofsomenitrogen-containingheterocycliccompoundshavebeeninvestigatedbymeansoffluorescencespec-troscopyinaqueousoraquiorganobinarymixturesofdifferentΦvaluesforthefirsttime.TheaggregatorsstudiedareN-butylcarbazole(CBZ-4),N-octylcarbazole(CBZ-8),N-do-decylcarbazole(CBZ-12),andN-hexadecylcarbazole(CBZ-16).Theiraggregatingtendencieshavebeenevaluatedbymeasuringtheircriticalaggregateconcentrationvalues(CAgC’s).OurresultsindicatethattheN-alkylcarbazoles,justliketheanthracenederivativeswithdifferentchain-lengths,canalsobeusedasfluorescenceprobesforevaluatingaggregatingtendenciesorCAgCvalues.