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简介：WepressentnewKyFantypebestapproximationtheoremsforadiscontinuousmultivaluedmaponmetrizabletopologicalvectorspacesandhyperconvexspaces.Inaddition,fixedpointresultsarederivedforthemapstudied.Ourworkgeneralizesseverlresultsinapproximationtheory.

简介：Inthispaper,weconsidertheclassofpolynomialsP(z)=anzn+∑nν=μan-νzn-ν,1≤μ≤n,havingallzerosin|z|≤k,k≤1andtherebypresentanalternativeproof,independentofLaguerre’stheorem,ofaninequalityconcerningthepolarderivativeofapolynomial.

简介：给一真实(有限维或无限维)有一个乔丹产品的Hilbert空间H，我们在H上为线性转变介绍ω-unique和ω-P性质的概念，并且在这些概念之中调查一些互联。特别地，我们在H上为象Lyapunov一样转变讨论ω-unique和ω-P性质。在Hilbert空间的约旦产品和Lorentz锥的性质在我们的分析起重要作用。

简介：ＳＯＭＥＰＥＲＦＯＲＭＡＮＣＥＭＥＡＳＵＲＥＳＯＦＲＥＰＡＩＲＡＢＬＥＴＲＡＮＳＦＥＲＬＩＮＥＷＩＴＨＧＥＮＥＲＡＬＤＩＳＴＲＩＢＵＴＩＯＮＳＬＩＷｅｉ；ＣＡＯＪｉｎｈｕａ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ａｃａｄｅｍｉａ...

简介：Thefluidized-bedpolymerizationprocesshasbeeninusefordecades.Fromthemanufacturer'sperspectiveitisdesirabletoimprovetechnologywithoutmajormodificationofthereactorsystem.Therefore,inordertomeetthedemandfornewproductsormoreefficientreactoroperation,manufacturersprefertoimprovethecatalystsysteminthemostcosteffectivemanner.Usingpolypropyleneproductionasanexample,somerecentadvancesinfluidized-bedpolymerizationtechnologyarepresented.

简介：Forapolynomialp(z)ofdegreenwhichhasnozerosin|z|<1,Dewanetal.,(K.K.DewanandSunilHans,Generalizationofcertainwellknownpolynomialinequalities,J.Math.Anal.Appl.,363(2010),38–41)establishedzp′(z)+nβ2p(z)≤n2{(β2+1+β2)max|z|=1|p(z)|-(1+β2-β2)min|z|=1|p(z)|},foranycomplexnumberβwith|β|≤1and|z|=1.InthispaperweconsidertheoperatorB,whichcarriesapolynomialp(z)intoB[p(z)]:=λ0p(z)+λ1(nz2)p′(z)1!+λ2(nz2)2p′′(z)2!,whereλ0,λ1,andλ2aresuchthatallthezerosofu(z)=λ0+c(n,1)λ1z+c(n,2)λ2z2lieinthehalfplane|z|≤|z-n/2|.ByusingtheoperatorB,wepresentageneralizationofresultofDewan.Ourresultgeneralizescertainwell-knownpolynomialinequalities.

简介：Accordingtothebasicideaofdual-complementarity,inasimpleandunifiedwayproposedbytheauthor,somebasicprinciplesindynamictheoryofelasticmaterialswithvoidscanbeestablishedsys-tematically.Inthispaper,animportantintegralrelationintermsofconvolutionsisgiven,whichcanbecon-sideredasthegeneralizedprincipleofvirtualworkinmechanics.Basedonthisrelation,itispossiblenoton-lytoobtaintheprincipleofvirtualworkandthereciprocaltheoremindynamictheoryofelasticmaterialswithvoids,butalsotoderivesystematicallythecomplementaryfunctionalsfortheeight-field,six-field,four-fieldandtwo-fieldsimplifiedGurtin-typevariationalprinciples.Furthermore,withthisapproach,thein-trinsicrelationshipamongvariousprinciplescanbeexplainedclearly.

简介：同步讲解SectionA1.Whatwouldyoulike?你想要点什么?wouldlike主要用于委婉地提出请求或建议,常用于口语中。(1)wouldlikesth想要某物I’dlikesomenoodles.我想要一些面条。(2)wouldliketodosth想要做某事I’dliketoplaythepiano.我想弹钢琴。(3)wouldlikesbtodosth想要某人做某事Iwouldlikehimtohelpme.我想要他帮助我。

简介：ThispaperisabriefintroductiontoYang-Mills-Higgsmodel,Maxwell-Higgsmodel,Einstein'svacuummodel,Yang-Baxtermodel,Chern-Simons-Higgsmodelandadiscussionoftheassociatedpartialdifferentialequationproblems.

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简介：Inthispaperweinvestigateseveralsolutionalgorithmsfortheconvexfea-sibilityproblem(CFP)andthebestapproximationproblem(BAP)respectively.Thealgorithmsanalyzedarealreadyknownbefore,butbyadequatelyreformulatingtheCFPortheBAPwenaturallydeducethegeneralprojectionmethodfortheCFPfromwell-knownsteepestdecentmethodforunconstrainedoptimizationandwealsogiveanaturalstrategyofupdatingweightparameters.Inthelinearcaseweshowtheconnec-tionofthetwoprojectionalgorithmsfortheCFPandtheBAPrespectively.Inaddition,weestablishtheconvergenceofamethodfortheBAPundermilderassumptionsinthelinearcase.WealsoshowbyexamplesaBauschke'sconjectureisonlypartiallycorrect.

简介：我们考虑零是全部功能的差别产品的衍生物的差别微分的多项式的分布。我们也调查分享普通的值的全部函数的差别微分的多项式的唯一问题。

简介：Basedonthestabilitytheoryoflineartime-varyingcontinuoussystem,thispaperinvestigatesthesynchronizationoftwolinearbidirectionally-coupledsystems.Sufficientconditionsforasymptoticsynchronizationareobtainedforgeneralchaoticsystemwithbidirectionalcouplingvialinearerrorfeedback.Sincethetrajectoryofchaoticsystemiscontinuousandbounded,onecanchoosesuitablecoupledparameterstosatisfytheproposedcriterion.Thecriterioncanalsobeappliedtotheglobalsynchronizationforchaoticsystemswithlinearunidirectionalcoupling.ThechaoticChensystemandthegeneralizedLorenz-likesystemaretakenasexamples,thesimulationsverifytheeffectivenessoftheproposedmethod.

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简介：ThispaperisbasicallyasurveytoshowanumberofcombinatorlaloptimizationproblemsarisingfromVLSIclrcultdesign.Someofthemincludingtheexistenceproblem,minimaxproblem,netrepresentation,bendminimization,areaminimization,placementproblem,routingproblem,etc,areespeciallydiscussedwithnewresultsandtheoreticalideasfortreatingthem.Finally,anumberofproblemsforfurtherresearcharementioned.

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简介：3阶段的水动力学反的使流体化的床为不同液体和煤气的速度用低密度粒子试验性地被学习。水动力学特征学习了包括压力落下，最小的液体和气体使液化速度和阶段劫盗。用床压力坡度决定的最小的液体使液化速度，随气体的增加减少速度。液体劫盗沿着床高度增加的阶段劫盗表演的轴的侧面，而稳固的劫盗减少，击倒床。然而，煤气的劫盗在床上是几乎一致的。

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