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500 个结果
  • 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.

  • 标签: Birkhoff INTERPOLATION REGULARITY Explicit representation Jacobi
  • 简介:SINGULARITYANDQUADRATUREREGULARITYOF(0,,...,m-2,m)─INTERPOLATIONONTHEZEROSOF()Pn-αβ()ShiYingguang(史应光)(ComputingCe...

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  • 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→X1/2)]=195.652cm1,andν[O12(2Π1/2→X2Π3/2)]=182.568cm1,respectively.Allthespectroscopicdataforelectronicstates2Π1/2and2Π3/2aregivenforthefirsttime.

  • 标签: 分子结构 势能函数 自旋轨道耦合 电子态
  • 简介:设P为素数,利用同余及高次丢番图方程的一些结果证明了不定方程组x-1=3py^2,x^2+x1=3z^2仅有正整数解(p,x,y,z)=(7,22,1,13)。

  • 标签: 不定方程 同余 正整数解
  • 简介:<正>Foranyintegersa1,a2,a3,a4andcwitha1a2a3a40(modp),thispapershowsthatthereexistsasolutionX=(x1,x2,x3,x4)∈Z4ofthecongruencea1x12+a2x22+a3x32+a4x42≡c(modp)suchthat‖X‖=max{|x1|,|x2|,|x3|,|x4|}《p1/2logp.

  • 标签: CHARACTER SUMS CONGRUENCES
  • 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)..

  • 标签: 拉格朗日插值 等节点 收敛性 多项式
  • 简介:Lithium-aluminum-cobalt-nickeloxideLiAlxCoyNi1xyO2particles,generallyusedascathodeoflithiumbattery,werepreparedbychemicalcoprecipitationfromanaqueoussolutionofLiOH,Al(NO3)3,Co(NO3)2andNi(NO3)2withNH4OH.XRD,SEMandFTIRwereusedtoexaminetheeffectofnickelcontentontheproduct.FTIRpatternsshowedthatincreaseinnickelcontentdecreasedtheabsorptionstrengthofthepeakofspinelstructureoftheproduct,attributedtotheoccupationbynickelinthealuminumsites.Particlesizeandelectricalpropertiesofthelithium-aluminum-cobalt-nickeloxide(abbreviatedasLACNO)particleswerealsodetermined.

  • 标签: LiAlxCoyNi1-x-yO2 Chemical coprecipitation Particle size Electrical
  • 简介:SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen01.

  • 标签: preserving EXPECTATION OPERATORS Radon CONDITIONAL LEBESGUE
  • 简介:<正>Foranoddfunctionf(x)definedonlyonafiniteinterval,thispaperdealswiththeexistenceofperiodicsolutionsandthenumberofsimpleperiodicsolutionsofthedifferentialdelayequation(DDE)(?)(t)=-f(x(t-1)).Byuseofthemethodofqualitativeanalysiscombinedwiththeconstructingofspecialsolutionsaseriesofinterestingresultsareobtainedontheseproblems.

  • 标签: ODD function PERIODIC solution DIFFERENTIAL DELAY
  • 简介:用第一原则的乐队结构,方法和特殊quasirandom结构(平方)来临,我们系统地计算了弯系数和SnxZn1xTe合金的自然乐队偏移量的合金。我们证明鞠躬的系数和这些合金的乐队差距是易感知地作文依赖者。由于完整的重叠和Sn最外面的p轨道和Zns的delocalization转的波浪功能,在这些状态之间联合是很强壮的,导致有Sn集中x的增加的传导乐队边的重要换至较低排挡,当原子价乐队边与二进制ZnTe的相比保持几乎未改变时,因此改进可能性为双极性做。

  • 标签: 兴奋剂 合金 双极 对准 随机结构