简介:Thispapersetupaclassofnonlinearsemi-discreteage-structuredmodelofpopulationevolutionsystem,byusingtheconceptofcriticalproliferationrate,itdiscussedthestabilityoflinearandnonlinearpopulationsystem,anditobtainthesufficiencyconditionsofthestablefornonlinearsemi-discretesystem.
简介:Inarecentarticle,theauthorsprovidedaneffectivealgorithmforbothcomputingtheglobalinfimumof/anddecidingwhetherornottheinfimumof/isattained,where/isamultivariatepolynomialoverthefieldRofrealnumbers.Asacomplement,theauthorsinvestigatethesemialgebraicallyconnectedcomponentsofminimumpointsofapolynomialfunctioninthispaper.Foragivenmultivariatepolynomial/overR,itisshownthattheabove-mentionedalgorithmcanfindatleastonepointineachsemi-algebraicallyconnectedcomponentofminimumpointsof/whenever/hasitsglobalminimum.
简介:Thispaperconsiderstheconvergenceratesfornonparametricestimatorsoftheerrordistributioninsemi-parametricregressionmodels.Byestablishingsomegenerallawsoftheiteratedlogarithm,itshowsthattheratesofconvergenceofeithertheempiricaldistributionorasmoothedversionoftheempiricaldistributionfunctionmatchesexactlytheratesobtainedforanindependentsamplefromtheerrordistribution.
简介:Usingthesemi-tensorproductofmatrices,thispaperinvestigatescyclesofgraphswithapplicationtocut-edgesandtheminimumspanningtree,andpresentsanumberofnewresultsandalgorithms.Firstly,bydefiningacharacteristiclogicalvectorandusingthematrixexpressionoflogicalfunctions,analgebraicdescriptionisobtainedforcyclesofgraph,basedonwhichanewnecessaryandsufficientconditionisestablishedtofindallcyclesforanygraph.Secondly,usingthenecessaryandsufficientconditionofcycles,twoalgorithmsareestablishedtofindallcut-edgesandtheminimumspanningtree,respectively.Finally,thestudyofanillustrativeexampleshowsthattheresults/algorithmspresentedinthispaperareeffective.