简介:Therearetwopartsinthispaper.InthefirstpartweconstructtheMarkovchaininrandomenvironment(MCRE),theskewproductMarkovchainandp-θ~→chainfromarandomtransitionmatrixandatwo-dimensionalprobabilitydistribution,andinthesecondpartweprovethattheinvarianceprincipleforp-θ→chain,amorecomplexnon-homogeneousMarkovchain,istrueundersomereasonableconditions.Thisresultismorepowerful.
简介:ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.
简介:WeuseMnforthesetofalln×nrealmatrices;(n)for{1,…,n};Snforthesymmetricgroupon〈n〉;A[α]α∈
简介:SmallRNA(sRNA)-mediatedpost-transcriptionalregulationdiffersfromprotein-mediatedregulation.Throughbasepairing,sRNAcanregulatethetargetmRNAinacatalyticorstoichiometricmanner.Sometheoreticalmodelswerebuiltforcomparisonoftheprotein-mediatedandsRNA-mediatedmodesinthesteady-statebehaviorsandnoiseproperties.ManyexperimentsdemonstratedthatasinglesRNAcanregulateseveralmRNAs,whichcausescrosstalkbetweenthetargets.Here,wefocusonsomemodelsinwhichtwotargetmRNAsaresilencedbythesamesRNAtodiscusstheircrosstalkfeatures.Additionally,thesequence-functionrelationshipofsRNAanditsroleinthekineticprocessofbase-pairinghavebeenhighlightedinmodelbuilding.
简介:ThinheavilyMg-dopedInGaNandGaNcompoundcontactlayerisusedtoformNi/AuOhmiccontacttop-GaN.ThegrowthconditionsofthecompoundcontactlayeranditseffectontheperformanceofNi/AuOhmiccontacttop-GaNareinvestigated.Itisconfirmedthatthespecificcontactresistivitycanbelowerednearlytwoordersbyoptimizingthegrowthconditionsofcompoundcontactlayer.WhentheflowrateratiobetweenMgandGagassourcesofp++-InGaNlayeris10.6%andthethicknessofp++-InGaNlayeris3nm,thelowestspecificcontactresistivityof3.98×10-5?·cm2isachieved.Inaddition,theexperimentalresultsindicatethatthespecificcontactresistivitycanbefurtherloweredto1.07×10-7?·cm2byoptimizingthealloyingannealingtemperatureto520℃.
简介:为了提高非线性卫星姿态控制系统的滤波性能,在建立了采用磁强计及太阳敏感器的卫星姿态模型的基础上尝试了新兴的粒子滤波(PF)算法对卫星系统进行姿态估计,进而对采用矢量观测的三轴稳定卫星的姿态确定问题进行了滤波算法的实时仿真,并将四元数转换成旋转矢量引入了粒子滤波算法,最后给出了卫星模型在不同粒子数目下的滤波性能比较,并在系统初始误差较大的情况下将粒子滤波算法与EKF滤波算法进行了滤波性能的对照。仿真结果表明,粒子滤波算法对粒子数目具有明显的依赖性,但是当粒子达到一定的数目时,粒子滤波的精度以及滤波稳定性都可以得到保证,尤其是在系统初始误差较大的情况下粒子滤波算法更显示了其优于EKF算法的滤波性能。
简介:Inthispaper,theLp-convergenceofGrünwaldinterpolationGn(f,x)basedonthezerosofJacobipolynomialsJ(α,β)n(x)(-1<α,β<1)isconsidered.Lp-convergence(0<p<2)ofGrünwaldinterpolationGn(f,x)isprovedforp·Max(α,β)<1.Moreover,Lp-convergence(p>0)ofGn(f,x)isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.
简介:Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.
简介:Inthepresentpaper,theauthorsintroduceanewsubclassofp-valentanalyticfunctionswithcomplexorderdefinedontheopenunitdiskU=fz:z2Candjzj<1gandobtaincoefficientinequalitiesforthefunctionsintheseclass.Applicationoftheseresultsforthefunctionsdefinedbytheconvolutionarealsoobtained.
简介:LetGbeagraphwithvertexsetV(G)andedgesetE(G)andletgandfbetwointeger-valuedfunctionsdefinedonV(G)suchthat2k-1≤g(x)≤f(x)forallx∈V(G).LetHbeasubgraphofGwithmkedges.Inthispaperitisprovedthatevery(mg+m-1,mf-m+1)-graphGhas(g,f)-factorizationsrandomlyκ-orthogonaltoHandshownthattheresultisbestpossible.
简介:<正>WestudythesolvabilityoftheCauchyproblem(1.1)-(1.2)forthelargestpossibleclassofinitialvalues,forwhich(1.1)-(1.2)hasalocalsolution.Moreover,wealsostudythecriticalcaserelatedtotheinitialvalueu0,for1<p<∞.