简介：Problemsaboutdensityareremarkableinthetheoryofdegreesofunsolvability.Owingtotheirdifficultyfewresultshavebeenobtainedtillnow.Sacks1964showedthatther.e.degreesaredense;Fejer1980showedthatnonbrachingdegreesaredenseinther.e.degrees,thisisthefirstnontrivialdefinablesubsetofthedegreesknowntobedense.

简介：Startedfrom5-hydroxy-2-pentanone,(R)(E)-3,7-dimethyl-2-octene-1,8-dioicacid,callosobruchusicacid,wassynthesizedviafivestepswithD-(-)-camphorsultamasthechiralauxiliary.Itwasofgoodopticalpurityandyield.

简介：Inthispaper.westudytheaveragen-KwidthoftheconvolutionclassBpq（G）(orB?（G）),forwhichthekernelG（x）isaPFdensity,inthemetricLq（R）(orLqp（R）)forthecase1≤q

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

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

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

简介：本文给出了ｒ─循环矩阵的求逆公式，推广了文［１］，［２］的结论．

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。

简介：本文在无穷维空间引入(E0，E)型渐近光滑映射的概念，研究了其基本性质和变为E中渐近光精映射的条件，我们证明了(E0，E)型吸引子存在性定理和(E0，E)型吸引子转化为E中吸引子的条件定理，所有结果都应用于一类耗散波方程新近性态的研究．

简介：ＡＤＭＩＳＳＩＢＬＥＷＡＶＥＬＥＴＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＴＨＥＴＲＡＮＳＦＯＲＭＧＲＯＵＰＯＮＲＨＥＪＩＡＮＸＵＮＡＮＤＰＥＮＧＬＩＺＨＯＮＧＡｂｓｔｒａｃｔ．ＬｅｔＰｂｅｔｈｅｔｒａｎｓｆｏｒｍｇｒｏｕｐｏｎＲｎ，ｔｈｅｎＰｈａｓａｎａｔｕ...

简介：LetX,YbeUMD-spacesthathaveproperty(α),I＜p＜∞andletMbeanR-boundedsubsetin()(X,Y).Itisshownthat{T(Mk)k∈z:Mk,k(Mk+1-Mk)∈Mfork∈Z}isanR-boundedsubsetof()(Lp(0,2π;X),Lp(0,2π;Y)),whereT(Mk)k∈zdenotestheLp-multipliergivenbythesequence(Mk)k∈z.ThisgeneralizesaresultofVenni[10].TheauthorusesthisresulttostudythestronglyLp-well-posednessofevolutionequationswithperiodicboundarycondition.AnalogousresultsforoperatorvaluedLp-multipliersonRarealsogiven.

简介：Inthispaper,abetterasymptoticorderofFouriertransformonSL(2,R)isobtainedbyusingclassicalanalysisandLieanalysiscomparingwiththatof[5]、[6],andthePlanchereltheoremonCc2(SL(2,R))isalsoobtainedasanapplication.

简介：Inthisnotesomerecurrencerelationsforthedimensionsofthesplinespacesonsocalled0-starsarepresented.

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简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：Thispaperpresentsaclassofr-point(r+1)st-orderA-stableone-blockmethodswithdampingattheinfinitepoint(DIAOBr,r+1).Undertheconditionsofthesameorder,A-stabili-ty,operationcount(ateachiterativestep)andstoragespacearethesameasthemethodsin[19],themethodsinthepaperimprovethestabilityinaneighborhoodattheinfinitepoint.And,byus-ingtheOOPImethod[20],itpossessesmuchfasterrateofconvergenceforsolvingsystemsofnon-linearequationsproducedbytheDIAOBr,r+1.

简介：Usingfourβ-cyclodextrinderivatives,2,6-di-O-benzyl-3-O-heptanonyl-β-CD,2,6-di-O-benzyl-3-O-octanonyl-β-CD,2,3-di-O-benzyl-6-O-heptanonyl-β-CD,and2,3-di-O-benzyl-6-O-octanonyl-β-CD,aschiralstationaryphasesofcapillarygaschromatography(CGC),theenantiomersofSharplessepoxideswerewellseparated.Theenantiomerexcessvalues(e.e.%)ofsomechiralSharplessepoxideswerealsodeterminedsuccessfullyusingtheseCDs.

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