简介：研究了Banach空间Xμ={c=（ci）i≥1：｜｜c｜｜μ====def（^∞∑i=1）iμ｜ci｜∞},μ≥1,讨论了它的范数，紧性以及强收敛和弱收敛之间的关系．

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简介：Characterizationsforelementaryoperatorsoflength2tobeinvertibility-preserving,apectrum-preservingorspectrurn-compressingareobtained.

简介：Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|＜e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.

简介：Anecessaryandsufficientconditionofregularityof（0,1,…,m-2,m）interpolationonthezerosof（1-x）Pn-1α,β（x）（α>-1,β≥-1）inamanageableformisestablished,wherePn-1α,β（x）standsforthe（n-1）thJacobipolynomial.Meanwhile,theexplicitrepresentationofthefundamentalpolynomialswhentheyexist,isgiven.

简介：ＳＩＮＧＵＬＡＲＩＴＹＡＮＤＱＵＡＤＲＡＴＵＲＥＲＥＧＵＬＡＲＩＴＹＯＦ（０，１，．．．，ｍ－２，ｍ）─ＩＮＴＥＲＰＯＬＡＴＩＯＮＯＮＴＨＥＺＥＲＯＳＯＦ（１－ｘ）Ｐｎ－１αβ（ｘ）ＳｈｉＹｉｎｇｇｕａｎｇ（史应光）(ＣｏｍｐｕｔｉｎｇＣｅ...

简介：ThesplittingofpotentialenergylevelsforgroundstateX2ΠgofOx2(x=+1,1)underspin–orbitcoupling(SOC)hasbeencalculatedbyusingthespin–orbit(SO)multi-configurationquasi-degenerateperturbationtheory(SO-MCQDPT).TheirMurrell–Sorbie(M–S)potentialfunctionsaregained,andthenthespectroscopicconstantsforelectronicstates2Π1/2and2Π3/2arederivedfromtheM–Sfunction.TheverticalexcitationenergiesforOx2(x=+1,1)areν[O+12(2Π3/2→X2Π1/2)]=195.652cm1,andν[O12(2Π1/2→X2Π3/2)]=182.568cm1,respectively.Allthespectroscopicdataforelectronicstates2Π1/2and2Π3/2aregivenforthefirsttime.

简介：YBa2Cu3Ox(YBCO)thinfilmsgrownondifferentsubstrateswithand/orwithoutEu2CuO4(ECO)bufferlayerwereinvestigatedbyX-raywideanglediffraction,reflection,diffusescatteringandtopography.TheresultsshowthatfortheyttriastabilizedZrO2(YSZ)substrate,thepresenceofanECObufferlayerimprovesthecrystallinequalityoftheYBCOfilm,whileanegativeeffectisobservedfortheSrTiO3(STO)substrate.ThelateralcorrelationlengthforasamplegrownonaYSZsubstratewithECObufferLayerismuchgreaterthangrownonanSTOsubetrate.TheSTOsubstrateusedhasmosaicstructure.2001ElsevierScienceB.V.Allrightsreserved.

简介：引理1C（x）为m次实多项式m<2k则（C（x））/（（x2+px+q）k）=（Ax+B）/（（x2+px+q）k）+（N（x））/(（x2+px+q）k-1)（式中p2-4q<0）A,B为唯一确定的实数;N（x）为次数小于2（k-1）的实多项式.证假定引理成立,则有

简介：确定一个物体的内部结构而不切开它,或者观看身体一个断面而不受其他部分影响,这一直是放射科医生和工程师的目标。这些目标已经通过计算机断层扫描(CT)和其他技术实现了,并被应用在每一个医院。本文应该能够帮助读者欣赏这项技术及其数学基础。

简介：作为X光检查，计算断层摄影术(CT)广泛地在诊断和放射疗法被用作，减少象一样低的放射剂量是重要的相当可完成。为这个目的，一个人可以使用基于的TV方法或小浪框架基于方法重建从设计的减少的数字的高质量的图象。由使用仅仅照亮region-of-interest(ROI)的内部断层摄影术计划，而且，一个人能节省更多的放射剂量。在这份报纸，柔韧的小浪框架规则化基于模型为全球重建和内部断层摄影术被建议。模型能帮助减少巨大的稀少的设计矩阵的失配引起的错误。一个三系统的分解计划被使用把重建的图象分解成三不同部分：动画片，人工制品和噪音。由丢弃估计的人工制品和噪音部分，因此，重建的图象能与更少的噪音和人工制品被获得。类似于基于的图象恢复建模的另外的框架，模型能被裂口Bregman算法高效地解决。数字模拟证明建议模型以锋利的边，吝啬的结构的类似(SSIM)，contrast-to-noise比率，相对错误和关联的保藏超过FBP和SART+TV方法。为真实绵羊肺重建，当FBP和SART+TV方法需要超过200设计时，例如，建议方法能到达用仅仅100设计象0.75一样高的吝啬的结构的类似。另外，建议柔韧的方法为有与FBP和SART+TV方法相比的更好的性能的内部、外面的断层摄影术是适用的。

简介：通过软件实现了用ＰＣ机调用日本Ｒｉｇａｋｕ公司生产的Ｄ／ｍａｘ一类Ｘ射线衍射仪测量数据，利用ＰＣ机的复杂计算功能，使原有仪器也可以进行新的结构分析工作，扩展了仪器的功能。

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简介：WestudytheDirichletproblemassociatedtostronglynonlinearparabolicequationsinvolvingp(x)structureinW_0~(1,x)L~(p(x))(Q).WeprovetheexistenceofweaksolutionsbyapplyingGalerkin'sapproximationmethod.

简介：小角X射线散射(SAXS)是研究多孔材料结构的一种有效方法．可得到孔径分布、平均孔径、比表面、界面层厚度、分形维数等许多微结构信息．SAXS理论公式基于点状光源(针孔准直)，但实践中则大多采用长狭缝准直条件．简要综述了SAXS在长狭缝准直条件下直接应用模糊强度进行煤、炭、二凝胶、分子筛等多孔材料结构解析的方法、并与针孔准直进行了对比。

简介：S.M.LozinskiiprovedtheexactconvergencerateatthezeroofLagrangeinterpolationpolynomialsto|x|basedonequidistantnodesin[-1,1].In2000,M.RevergeneralizedS.M.Lozinskii'sresultto|x|α(0≤α≤1).Inthispaperwewillpresenttheexactrateofconvergenceatthepointzerofortheinterpolantsof|x|α(1＜α＜2)..

简介：在一般调和映射基础上定义了X-调和映射和次椭圆调和映射,得到了X-词和映射的稳定性定理,它是Leung一般调和映射及其稳定性定理的推广.

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

简介：Inthefarfieldoftheintensitydistributionofthebeamdeliveredbyatwo-stagetransient–collisionalexcitationX-raylaser(XRL),anon-expectedinterferencepatternthatisstablefromshottoshothasbeendiscovered.Itisdemonstratedthattheinterferenceiscausedbytheemergenceofanimaginarysourceintheamplifyingplasma,whichisphasematchedtotheradiationofthegenerator.TheobservedphenomenoniscalledanX-raycoherentmirage.Toexplaintheobtainedresults,anewtheoreticalapproachisdeveloped.ThebasicessentialconditionsforformationoftheX-raymirageareformulated,andpossibleapplicationsarediscussed.Thispaperdetailstheexperiments,includingtheformulationofthenecessaryandsufficientconditionsforformationoftheX-raymirage,andpossibleapplicationsarediscussed.

简介：ThestatusoftheEuropeanX-rayFree-ElectronLaser(EuropeanXFEL),underconstructionnearHamburg,Germany,isdescribed.ThestartofoperationsoftheLCLSatSLACandofSACLAinJapanhasalreadyproducedimpressivescientificresults.TheEuropeanXFELfacilityispoweredbya17.5GeVsuperconductinglinearacceleratorthat,comparedtothesetwooperatingfacilities,willgeneratetwoordersofmagnitudemorepulsespersecond,upto27000.Itcanthereforesupportmodesofoperationswitchingthebeamupto30timespersecondamongthreedifferentexperiments,providingeachofthemwiththousandsofpulsespersecond.Thescientificpossibilitiesopenedupbythesecapabilitiesarebrieflydescribed,togetherwiththecurrentinstrumentaldevelopments(inoptics,detectors,lasers,etc.)thatarenecessarytoimplementthisprogram.