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103 个结果
  • 简介:ThispapersolvesanopenproblemofVaserstein.Themainresultis:theequationx^m+y^m=z^mhasasolutioninSL2zifandonlyifmisnotdivisibleby4or6andmisnotcongruentto3modulo6.

  • 标签: 数论 矩阵 FERMAT大定理 实数解
  • 简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.

  • 标签: LAGUERRE INTERPOLATION regularity uniquely INFINITY explicit
  • 简介:HeteroatomM-ZSM-12zeolites(M=B,Al,Ge,Ga,Fe)arehydrothermallysynthesizedanditisprovedthattheheteroatomMisinvolvedintheframeworkofsynthesizedmolecularsievesbymeansofXRD,IRspectra.TheresultsofadsorptionanddiffusionexperimentsindicatethattheheteroatomMmodifiestheporevolume,specificsurfacearea,andthechannelofZSM-12molecularsieves.

  • 标签: HETEROATOM Zeolites ADSORPTION
  • 简介:给出了含非零码字的任一Zp^m-线性码的生成短阵形式(其中P为素数,m为正整数),推广了文[1]的结论。

  • 标签: Zp^m-线性码 生成矩阵 交换群
  • 简介:ONM-IDEALSANDBESTAPPROXIMATIONHANDEGUANG(韩德广)(DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China)Abstract:Inthispa...

  • 标签: M-IDEAL best APPROXIMATION COMPACT operator.
  • 简介:Itisoftenstatedthatevencleantokamakdischargesdisruptathighdensity.Onepossibilityisthatsuchdisruptionresultfromtheenergylossarisingfromhydrogenrecyclingattheedgeoftheplasma.thisenergylosscouldleadtoacontractionofthecurrentchannelandtheproductionofadisruptivelyunstableconfiguration.

  • 标签: 循环效应 HL-1M 托卡马克装置 放电分布 等离子体
  • 简介:A.simplicialmesh(triangulation)isconstructedthatgeneralizesthetwo-dimensional4-directionmeshtoR~m.Thismesh,withsymmetric,shift-invariantvaluesatthevertices,isshowntoadmitaboundedC~1interpolantifandonlyifthealternatingsumofthevaluesattheverticesofany1-cubeiszero.Thisim-pliesthaiinterpolationattheverticesofanm-dimensional,simplicialmeshbyaC~1piecewisepolynomialofdegreem+1withonepiecepersimplexisunstable.

  • 标签: invariant INTERPOLATION TRIANGULATION PIECEWISE symmetric cube
  • 简介:ComputingtheeigenvalueofsmallestmodulusanditscorrespondingeigneveclorofanirreduciblenonsingularM-matrixAisconsidered,ItisshownthatiftheentriesofAareknownwithhighrelativeaccuracy,itseigenvalueofsmallestmodulusandeachcomponentofthecorrespondingeigenvectorwillbedeterminedtomuchhigheraccuracythanthestandardperturbationtheorysuggests.Analgorithmispresentedtocomputethemwithasmallcomponentwisebackwarderror,whichisconsistentwiththeperturbationresults.

  • 标签: IRREDUCIBLE NONSINGULAR M-MATRIX BACKWARD ERROR componentwise
  • 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(0,1,...,-2,)─INTERPOLATIONONTHEZEROSOF(1-x)Pn-1αβ(x)ShiYingguang(史应光)(ComputingCe...

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