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简介：Inthispaperwegeneralizetheresultsof[1]andprovethat,foranygiven4≤k≤n,theChernclassesofhypersurfaceV_ncorrespondingtothepartitionsofkalsosatisfysomeequalities.Furthermore,weobtaintheequalitiesofChernclassesconcretelyfork=4,5,6.

简介：睡眠与健康工作和学习的关系甚为密切。良好的睡眠，可调节生理机能，维持神经系统的平衡，是生命中的重要一环。缺乏睡眠对中学生的学习、生活会有一定的消极影响，所以学生应当合理地安排自己的睡眠时间。

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简介：Inthispaperwediscusstheproblemofapproximatingdistributionsincertaindiscretelifeclasses.LetXbearandomvariable（r.v.）takingnonnegativeintegers,EX=μ.SupposeYisageometricr.v.takingnonnegativeintegersandwiththesamemeanμ.DenoteB2=（?）,α=1-（B2）/（μ2）,Δ（X,Y）=（?）|P（X≥k）-P（Y≥k）|.Themainresultsare:1)IfX∈（D）DMRL（discretedecreasingmeanresiduallife）,thenΔ（X,Y）≤max(α,1-e-2α).2)IfX∈（D）NBUE（discretenewbetterthanuseinexpectation）thenΔ（X,Y）≤max(α,1-e-（2α）1/2.

简介：ForaholomorphicfunctionfontheunitballB~NofC~N,itisprovedthatthereducedHankeloporatorR_fonHardyspaceH~2(B~N)isofSchattenclassS_pforp≥1ifandonlyiffisinacorrespondingSobolevspace.

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简介：MoreandmorelanguageteachersarefindingthattheWorldWideWebisatreasurechestofauthenticlanguagematerialsandareactivelyintegratingon-linerealdataandotherresourcesintotheirclasses.ThispapermainlyfocusesonbenefitsaswellasactivitiesofselectingandusingInternetmaterialinEnglishclasses.ItisagoodwayofmotivatingstudentstouseEnglishoutsidetheclassroomandtomakeEnglishapartoftheirdailylives.

简介：这篇文章的对象是介绍与圆锥形的区域联系的meromorphic函数的新类。几个性质喜欢系数界限，生长和失真定理，星相似和凸状的半径，部分和，被调查。meromorphic功能的著名的班的主要结果的一些后果也被指出。

简介：Weobtaintheoptimalorderofhigh-dimensionalintegrationcomplexityinthequantumcomputationmodelinanisotropicSobolevclassesW∞^r([0,1]^d)andHǒlderNikolskiiclassesH∞^r([0,1]^d).Itisprovedthatfortheseclassesoffunctionsthereisaspeed-upofquantumalgorithmsoverdeterministicclassicalalgorithmsduetofactorn^-1andoverrandomizedclassicalmethodsduetofactorn^-1/2.Moreover,wegiveanestimationforoptimalquerycomplexityintheclassH∞^∧(D)whosesmoothnessindexistheboundaryofsomecompletesetinZ+^d.

简介：Thispaperconsidersthefollowingquestion:GivenanAnosovendomorphismfonT~m,whetherfistopologicallyconjugatetosomehyperbolictotalendomorphism?ItiswellknownthattheanswerforAnosovdiffeomorphismsandexpandingendomorphismsisaffirmative.HweverfortheremainderAnosovendomorphisms,aquitedifferentanswerisobtainedinthispaper,i.e.,forgenericAnosovendomorphisms,theyarenottopologicallyconjugatetoanyhyperbolictoralendomorphism.

简介：InthepresentpaperweextendpreviousresultsaboutthemonotoaicityofBernstein-typeoperatorsrdtiwetoconvexfunctionsandaboutthepreservationofLipschitzclasses.

简介：LetRbeafinitechainringwithmaximalidealγandresiduefieldF,andletγbeofnilpotencyindext.ToeverycodeCoflengthnoverR,atowerofcodesC=(C:γ0)(C:γ)(C:γi)(C:γt-1)canbeassociatedwithC,whereforanyr∈R,(C:r)={e∈Rn|re∈C}.UsinggeneratorelementsoftheprojectionofsuchatowerofcodestotheresiduefieldF,wecharacterizecycliccodesoverR.ThischaracterizationturnstheconditionforcodesoverRtobecyclicintooneforcodesovertheresiduefieldF.Furthermore,weobtainacharacterizationofcycliccodesovertheformalpowerseriesringofafinitechainring.

简介：Inthispaper,LorentzspaceoffunctionsofseveralvariablesandBesov’sclassareconsidered.WeestablishanexactapproximationorderofBesov’sclassbypartialsumsofFourier’sseriesformultipletrigonometricsystem.

简介：Thispaperisconcernedwiththeglobalexistenceanduniformboundednessofsolutionsfortwoclassesofchemotaxismodelsintwoorthreedimensionalspaces.Firstly,byusingdetailedenergyestimates,specialinterpolationrelationanduniformGronwallinequality,weprovetheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithlinearchemotactic-sensitivitytermsandlogisticreactionterms.Secondly,byapplyingdetailedanalyticsemigroupestimatesandspecialiterationtechniques,weobtaintheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithnonlinearchemotacticsensitivityterms,whichextendstheglobalexistenceresultsof[6]toothergeneralcases.

简介：为x=(x1,x2,，xn)+nn，对称的功能Fn(x,r)并且Gn(x,r)被$$F_n定义(x，r)=F_n(x_1，x_2，\cdots，x_n；r)=\sum\limits_{1\leqslanti_1and$$G_n(x，r)=G_n(x_1，x_2，\cdots在这份报纸，F的Schur凸状<潜水艇class=“a-plus-plus”>n(x,r)并且G<潜水艇class=“a-plus-plus”>n(x,r)被讨论。作为应用程序，由为一个Schur凸的函数的独立变量的bijective转变，作者为一些另外的对称的函数获得Schur凸状，它在最近的文学包含主要结果；并且由majorization的理论的使用建立一些不平等。特别地，作者从这份报纸的结果导出Weierstrass不平等和Ky扇子不平等，并且给Saftas的归纳在n维的空间和其它推测。

简介：ThispaperdealswiththeclassofQ-tensors,thatis,aQ-tensorisarealtensorAsuchthatthetensorcomplementarityproblem(q,A):findinganx∈R~nsuchthatx≥0,q+Ax~(m-1)≥0,andx~T(q+Ax~(m-1))=0,hasasolutionforeachvectorq∈R~n.SeveralsubclassesofQ-tensorsaregiven:P-tensors,R-tensors,strictlysemi-positivetensorsandsemi-positiveR_0-tensors.WeprovethatanonnegativetensorisaQ-tensorifandonlyifallofitsprincipaldiagonalentriesarepositive,andsotheequivalenceofQ-tensor,R-tensors,strictlysemi-positivetensorswasshowediftheyarenonnegativetensors.WealsoshowthatatensorisanR_0-tensorifandonlyifthetensorcomplementarityproblem(0,A)hasnonon-zerovectorsolution,andatensorisaR-tensorifandonlyifitisanR_0-tensorandthetensorcomplementarityproblem(e,A)hasnonon-zerovectorsolution,wheree=(1,1···,1)~T.

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