简介:证明对一切θ∈(0,1),所有θ(2√λη-λ-η)都是单重休假的M/M/1排队模型的主算子的几何重数为1的特征值.
简介:SINGULARITYANDQUADRATUREREGULARITYOF(0,1,...,m-2,m)─INTERPOLATIONONTHEZEROSOF(1-x)Pn-1αβ(x)ShiYingguang(史应光)(ComputingCe...
简介:应用线性算子的积分群理论证明M/M^B/1排队模型的时间依赖解的存在唯一性,其次推出M/M/1排队模型的时间依赖解的存在唯一性。
简介:Basedonthesecond-ordermoments,thispaperderivesananalyticalexpressionoftheM2factoroffour-petalGaussianbeam.TheresultsshowthattheM2factorisonlydeterminedbythebeamordern.Thecorrespondingnumericalcalculationsarealsogiven.Asthebeamorderincreases,theaugmentofM2factorisdisciplinary.AstheexpressionofM2factorisexpressedinseriesformandbecomesmorecomplicated,anewconciseformulaofM2factorisalsopresentedbyusingcurvefittingofnumericalcalculations.When3≤n≤200,themaximumerrorrateoffittingformulawillnotexceed2.6%andtheaverageerrorrateis0.28%.Thisresearchishelpfultotheapplicationsoffour-petalGaussianbeam.
简介:LetH1andH2beseparableHilbertspaces,andB(H1,H2)allofboundedlinearoperatorsfromH1intoH2.Inthisnote,weprovethefollowingtheorem:foranypositiveintegerNandT∈B(H1,H2)withaclosedrange,thereexistsanouterinverseT#NwithfiniterankNsuchthatT+y=liraT#Nyforanyy∈H2,whereT+N→∞denotestheMoore-PenroseinverseofT.ThuscomputingT+isreducedtocomputingouterinversesT#NwithfiniterankN.Moreover,becauseofthestabilityofboundedouterinverseofaT∈B(H1,H2),thisisveryuseful.
简介:1IntroductionForann×nmatrixAwhichisaninverseM-matrix,M.Neumannin[1]conjecturedthattheHadamardproductA·AisaninverseofanM-matrix.TheyhavecheckedhisconjecturewithoutfailureonUltrametricmatricesandinverseofMMA-matrices,Uni-pathicmatricesandtheWillongbyinverseM-matrices.Bo-YingWangetal.in[2]haveinvestigatedTriangularinverseM-matriceswhichareclosedundertheHadamardmultipli-cation.LuLinzheng,SunWeiweiandLiWenin[3]presentedamoregeneralconjecture
简介:Bytheadditionalreactionofbinuclearcompounds(Me4N)2M2S4(TDT)2(M=Mo,W;H2TDT=H2CH3C6H3S2)withmononuclearcuprouscomplex,twonewM-Cu-SclustersMo2Cu2S4(TDT)2-(PPh3)2·CH3CH2OH(1)andW2Cu2S4(TDT)2(PPh3)2·0.5CH3CH2OH-0.5H2O(2)havebeenpreparedandcharacterizedbyIR,UV-Vis,31PNMRspectroscopy,cyclicvoltammetryandsinglecrystalX-raystructureanalysis.BothcompoundscrystallizeinspacegroupP21/nwithlatticeparametersa=1.0956(3),b=2.2072(3),c=2.4340(3)nm,β=100.36(2)°,V=5.790(3)nm3andZ=4for1anda=1.0965(9),b=2.2135(3),c=2.4317(4)nm,β=99.63(8)°,V=5.819(8)nm3andZ=4for2.Bothmolecularstructurescontainacubane-likeclustercore[M2Cu2S4](M=Mo,W)andtheirskeletonsarealmostthesameexceptforMatoms.Thesyntheses,structuresandspectrumcharacterizationsofthesetwoclustersarediscussed.Thethird-ordernonlinearoptical(NLO)propertyofthetwoclusterswasstudiedbythetechniqueofforwarddegeneratefour
简介:证明0是具有可选服务的M/M/1排队模型的主算子及其共轭算子的几何重数为1的特征值,由此推出该模型的时间依赖解强收敛于该模型的稳态解.
简介:Thispaperpraidrsatheurvthealhastsforestablishingthecongergenteofparaledinterativeanditratieetechaigues,forcomputingnmtrfiedsolutionofArthreeAisasingalM-matrix,TheseresultsdonotassuineAtoirreducihle,AconcreterelaxedparalletmultixplatingalgorithinculledtheparallelmultisplitingAORalgarithmisshowedFindly,numericalesamplesaregivep,arhlehshoweffertielveofparalleliterurisemethodsforsingalarcase