简介：Inthispaperwestudytheaverageσ-Kwidthandtheaverageσ-linearwidthoftheunitballofl1x（R）inl2α（R）.Theexactvaluesofthesewidthsarecalculatedandanoptimalsubspacewiththeoptimallinearopera-tor（fortheσ-linearwidth）areidentified.

简介：由于C^3I系统所具有的分布特点，其功能需求描述必须考虑信息处理和通信两方面，本文从C^3I系统功能分析入手，讨论了一种Petri网建立C^3I系统功能需求的可执行描述模型的方法。

简介：

简介：在这篇论文，我们学习在订的复制Hilbert空格和它的复制内核之间的关系。对多项式与领先的学期产生的二个伪不变的潜水艇空格的一个类似、单一的等价的完全的描述被给。

简介：我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。

简介：Inthispaper,westudyseveraliterativemethodsforfindingthemaximal-likesolutionofthematrixequationX+A~*X~(-2)A=I,anddeducesomepropertiesofthemaximal-likesolutionwiththesemethods.

简介：作者在C上给围住的双线性的表格的Fourier变换的描述*(S1)×C*(二基础半的S2)以乔丹组织S1和S2*-representations,hemimogeneous随机域，并且象一样微弱地，harmonizable随机S回答1和S2直到Hilbert空格。

简介：摘要刻画了|C(S)／L|≤2的完全正则半群S的同余格的具体特征，给出了具有上述性质的所有完全正则半群的分类．

简介：<正>Inthispaper,weapplythesolitontheorytothecaseofisometricimmersionindifferentialgeometryandobtainafamilyofisometricimmersionsfromMn1（c1）×Mn2（c2）tospaceformsMn（c）byintroducing2-parameterloopalgebra.

简介：AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.

简介：本文首先介绍了粒子群算法（PSO）的基本模型及其运行机制；然后，通过粒子迭代位移、轨迹分析和函数上的参数试验，研究了c1，c2参数对粒子行为和算法进化性能的影响，以及对粒子目标识别和方向感的影响；接着，又探讨了PSO中的解的更新空间不断塌缩、粒子的“游荡”与“振荡”、粒子进化与多样性损失等几个确定性现象和随机性搜寻的必要条件；最后，分析了早熟收敛和局部收敛的原因。通过研究，加深了对粒子群算法（PSO）基本模型运行机制的认识和对C1，c2参数特性的了解。

简介：ThenumberA（d1,…,dn）ofsolutionsoftheequation0（mod1）,0

简介：研究二次矩阵方程X2-bX-C=O（b〉0,C为n×n阶正定阵）的正定解,证明了解的存在唯一性并且给出了求解方法.

简介：Wegiveaconstructionofthemaximum,andtheminimumofthesetofnondecreasmgapproxmantsinthediscretecase,whereisapositiveconoexfunction.Acharacterizationofthatsetisalsoobtained.

简介：让{X，Xn；n鈮?1}i.i.d的一个序列是随机变量，前=0，前2=蟽2<鈭？给Sn=X1+X2+吗？+Xn，Mn=最大k鈮鈭k鈭？n鈮?1。让n=O(1/木头木头n)。在这份报纸，我们证明那，为b>?1，

简介：Thispaperstudiestheinteractionofshockandgradientwave(soundwave)ofsolutionstothesystemofinviscidisentropicgasdynamicsasamodelforthecorrespondingproblemsfornonlinearhyperbolicsystems.Theproblemcanbereducedtoaboundaryvalueprobleminawedgeddormain,ByusingthemethodofconstructingasymptoticsolutionsandNewton'siterationprocessitisprovedthatifaweakshockhitsagradientwave,thenthegrandientwavewillsplitintotwogradientwaves,whiletheshockcontinusespropagating.Inthispapertheauthorreducestheproblemtoastandardformandconstructsasymptoticsolutionoftheproblem.Theexistenceofthegenuinesolutionwillhegiveninthefollowingpaper.

简介：Theauthorintroducesanotionofweak1sequencesandcharacterizessuchsequencesbymeansofhomologicalmethods.ThisnotionextendsthenotionofweekM-sequencesandthusextendsthenotionsofgeneralizedCohen-MacaulaymodulesandBuchsbaummodulestomoregeneralcases.

简介：ThemultivariatesplineswhichwerefirstpresentedbydeBooorasacompletetheoreticalsystemhaveintriguedmanymathematicianswhohavedevotedmanyworksinthisfieldwhichisstillintheprocessofdevelopment.Theauthorofthispaperisinterestedintheareaofinter-polationwithspecialemphasisontheinterpolationmethodsandtheirapproximationorders.ButsuchB-splines(bothunivariateandmultivariate)donotinterpolateddirectly,soIap-proachedthisprobleminanotherwaywhichistoextendmyinterpolatingsplineofdegree2n-1inunivariatecase(See[7])tomultivariatecase.Iselectedtriangulatedregionwhichisinspiredbyothermathematicians’works(e.g.[2]and[3])andextendtheinterpolatingpolynomialsfromunivariatetom-variatecase(See[10])Inthispapersomeresultsinthecasem=2arediscussedandprovedinmoreconcretedetails.Basedonthesepolynomials,theinterpolatingsplines(itisdefinedbymeaspiecewisepolynomialsinwhichtheunknownpar-tialderivativesaredeterminedundercertaincontinuousconditions)arealsodiscussed.Theapproximationordersofinterpolatingpolynomialsandofcubicinterpolatingsplinesareinverstigated.Welunitedourdiscussionontherectangulardomainwhichispartitionedintoequalrighttriangles.Astothecaseinwhichtherectangulardomainispartitionedintounequalrighttrianglesaswellasthecaseofmorecomplicateddomains,wewilldiscussinthenextpa-per.

简介：ThispapercharacterizestheirrationalrotaionC^*-algebraassociatedwiththeToeplitxC^*-algebraovertheZ-shapeddomaininC^2inthesenseofthemaximalradicalseries,whichisanisomorphisminvariant.

简介：TheauthorsconsiderthemultilinearoscillatorysingularintegraloperatordefinedbyTA1,A2,…,Akf(x)=∫R^ne^ip(x,v)k/∏/j=1Rmi(Ajix,y)(Ω(x-y))/(│x-y│^n+M)f(y)dy,whereP(x,y)isareal-valuedpolynomialonR^n×R^n,Ωishomogeneousofdegreezero,Rmj(Aj;x,y)denotesthemj-thorderTaylorseriesremainderofAjatxexpandedabouty,M=k/∑j=1mj,ItisshownthatifΩbelongstothespaceLlog^+L(S^n-1)andhasvanishingmomentuptoorderM,then‖TA1,A2,…,Akf‖q≤ck/∏/j=1(∏/│α│=mj‖D^αAj‖rj)‖f‖p,providedthat1