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  • 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。

  • 标签: NEUMANN边界条件 猜想 布朗运动 热方程 类域 单调
  • 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.

  • 标签: Monomer-iniferter Photoiniferter MACROMONOMER Living radical POLYMERIZATION
  • 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.

  • 标签: POLYSILOXANE N N’-Bis(diphenylsilyl)tetraphenylcyclodisilazane SYNTHESIS
  • 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.

  • 标签: 合成 晶体结构 N N'-二甲基二硫代铜 反向原子转移聚合 硫氰酸铜
  • 简介:知识要点]曲线与方程的概念.能利用给定条件选择适当坐标系求出曲线的方程,能通过曲线的方程来研究曲线的性质.对于一些常见曲线的方程应能根据其方程画出该方程所表示的曲线.理解充要条件的意义及在数学变形过程中的等价性问题.圆锥曲线的定义、它们的标准方程及有...

  • 标签: 能力培养 双曲线方程 圆锥曲线 轨迹方程 椭圆方程 标准方程
  • 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(nnn+4)(n=2或n≥4)是色唯一的.

  • 标签: 完全三部图 色多项式 色唯一性 独立集数
  • 简介:Inthispaper,wegivesomedecompositionsoftriplesofZpnorZ3pnintocyclictriplesystems.Newconstructionsofdiferencefamiliesaregiven.Someinfniteclassesofsimplecyclictriplesystemsareobtainedfromthesedecompositions.

  • 标签: 循环设计 n次方 分解 三元系 新建筑 无限类
  • 简介:ThepropertiesofPbn(n=2―30)clustersincludingbindingenergies,seconddifferencesinenergy,andHOMO-LUMOgaps,especiallyfragmentationenergiesandionizationpotentials,havebeenstudiedbyabinitiocalculation.ThemainfragmentationproductsofPbn+areshowntobePb+Pbn-1+forn≤14andtwosmallclusterfragmentsforlargeroneswithn>14.ThePb13+appearsfrequentlyastheproductsinthefragmentationsoflargeclusters.Also,thecalculatedionizationpotentialsoftheclustersareconsistentwiththeexperimentdata.

  • 标签: 电离势 碎裂 集群计算 HOMO LUMO 从头计算
  • 简介:Aseriesofaromaticimineswerereducedtocorrespondingaminesinexcellentyieldsby2-phenyl-N,N-dimethylbenzimidazoline(PDMBI)photochemicallyinthepresenceofmagnesiumperchloride(Mg(ClO4)2).AMg2+mediatedphotoinducedelectrontransfermechanismwasproposed.

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  • 简介:ErdǒsandSósconjecturedin1963(see[1],Problem12in247)thateverygraphGonnverticeswithsizee(G)>1/2n(κ-1)containseverytreeTofsizek.Inthispaper,weprovetheconjectureforgraphswhosecomplementscontainnocyclesoflength4.

  • 标签: 顶点集 曲线图 图论 包裹 树状图