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500 个结果
  • 简介:Theobjectofthispaperistoshowregularityof(0,1,...,r-2,r)interpolationonthesetobtainedbyprojectingverticallythezerosof(1-x2)pn(x)(λ≥1/2)ontotheunitcircle,wherePn(x)standsforthenthultrasphericalpolynomial.

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

  • 标签: exact inequality opera subspace AVERAGE R)IN
  • 简介:AconstructiveproofisgivenfortheinversionformulaforzonalfunctionsonSL(2,R).AconcretelyconstructedsequenceofzonalfunctionsareprovedtosatisfytheinversionformulaobtaAnedbyHarish-Chandraforcompactsupportedinfinitelydifferentiablezonalfunctfons.Makinguseofthepropertyofthissequencesomehowsimilartothatofapproximationkernels,theauthorndeducethattheinversionformulaistrueforcontinuouszonalfunctiotmon8L(2,R)somecondition.Theclassicalresultcanbeviewedasacorollaryoftheresultshere.

  • 标签: 线性函数 倒置公式 近似值 数学分析 证明方法
  • 简介:ThecommutatorsofsingularintegraloperatorswithhomogeneouskernelΩ(x)/|x|^narestudied,whereΩishomogeneousofdegreezero,andhasmeanvaluezeroontheunitsphere.ItisprovedthatΩ∈L(logL)^(k+1)(S^(n-1))isasufficientconditionsuchthatthek-thordercommutatorisboundedonL^2(R^n).

  • 标签: 转接器 单一积分算子 有界平均振动 傅里叶变换
  • 简介:TheauthorsdiscussproblemsofapproximationtofunctionsinL^2(R^n)andoperatorsfromL^2(R^n1)toL^2(R^n2)byRadial-BasisFunctions.TheresultsobtainedsolvetheparblemofcapabilityofRBFneuralnetworks,abasicprobleminneuralnetworks.

  • 标签: 径向基函数 中性网络 逼近函数 算子
  • 简介:Opticallyactive(R)-(+)-2,2’-bis(2-trifluoro-4-aminophenoxy)-1,1’-binaphthylwaspreparedfrom1,1’-bi-2-naphthol.Theopticallyactivearomaticpolyimidewasalsosuccessfullysynthesized.Thisnewpolymerhasgoodsolubility,thermalstabilityetc.Itsspecificrotationwasfoundtobe+174°,anditschiropticalpropertywasalsostudied.

  • 标签: Optical ACTIVITY 1 1′-Bi-2-naphthol POLYIMIDE
  • 简介:给出了两种插值算子,并研究了它们在和L2πp和Lp(R)L空间上的逼近阶.用实数α阶的积分模给出逼近度.更多还原

  • 标签: 插值 逼近 三角多次式 整函数
  • 简介:给出了含非零字的任一Zp^m-线性的生成短阵形式(其中P为素数,m为正整数),推广了[1]的结论。

  • 标签: Zp^m-线性码 生成矩阵 交换群
  • 简介:Inthispaper.westudytheaveragen-KwidthoftheconvolutionclassBpq(G)(orB?(G)),forwhichthekernelG(x)isaPFdensity,inthemetricLq(R)(orLqp(R))forthecase1≤q

  • 标签: kernel CONVOLUTION exact CLASS Wiener AVERAGE
  • 简介:ThispaperreportsthePVTxpropertiesofR22/R152asystemintherangesoftemperaturefrom298.15Kto353.15Kandpressurefrom0.288MPato1.288MPa,SixtysevenPVTxmeasurementsforthreecompositions,i.e.0.2712,0.4094and0.7911molefractionofR22,havebeenmeasuredalong16isotherms.Theuncertaintiesoftemperatureandpressuremeasurementsarelessthan0.01Kand±500Parespectively.ThereliabilityoftheexperimentalmeasurementsisconfirmedbyusingREFPROPprogram,acomputerprogramsuggestedbyMorrisonetal^[4].

  • 标签: 致冷物质 R22/R152a Burnett方法
  • 简介:让f:M→R~3是有非退化的秒的面向的表面基本形式。我们由H和K表示它的吝啬的弯曲和高斯弯曲。然后f的Laguerre体积,由L(f)=∫(H~2定义-K)/KdM,一在Laguerre转变下面不变。功能的L的批评表面被称为Laguerre最小的表面。在这篇论文,我们学习在由使用拉久雷·高斯的R~3的最小的表面印射的theLaguerre。这被知道最小的表面有的genericLaguerre有一样的高斯地图的双Laguerre最小的表面。在这篇论文,我们证明不是Laguerre的任何表面最小被它的LaguerreGaussmap特别地决定。我们也证明圆范围是在R~3的唯一的紧缩的Laguerre最小的表面。并且我们与消失的Laguerre形式在R~3给表面的一条分类定理。

  • 标签: Laguerre值 几何表面 高斯映射 Laguerre转换