简介:Inthispapertheauthorsgeneralizetheclassicrandombipartitegraphmodel,anddefineamodeloftherandombipartitemultigraphsasfollows:letm=m(n)beapositiveinteger-valuedfunctiononnandζ(n,m;{pk})theprobabilityspaceconsistingofallthelabeledbipartitemultigraphswithtwovertexsetsA={a_1,a_2,...,a_n}andB={b_1,b_2,...,b_m},inwhichthenumberst_(ai),b_joftheedgesbetweenanytwoverticesa_i∈Aandb_j∈BareidenticallydistributedindependentrandomvariableswithdistributionP{t_(ai),b_j=k}=pk,k=0,1,2,...,wherepk≥0and∞Σk=0pk=1.TheyobtainthatX_(c,d,A),thenumberofverticesinAwithdegreebetweencanddofG_(n,m)∈ζ(n,m;{pk})hasasymptoticallyPoissondistribution,andanswerthefollowingtwoquestionsaboutthespaceζ(n,m;{pk})with{pk}havinggeometricdistribution,binomialdistributionandPoissondistribution,respectively.Underwhichconditionfor{pk}cantherebeafunctionD(n)suchthatalmosteveryrandommultigraphG_(n,m)∈ζ(n,m;{pk})hasmaximumdegreeD(n)inA?underwhichconditionfor{pk}hasalmosteverymultigraphG(n,m)∈ζ(n,m;{pk})auniquevertexofmaximumdegreeinA?
简介:Inthisletter,apiezoaeroelasticenergyharvesterbasedonanairfoilwithdoubleplungedegreesoffreedomisproposedtoadditionallytakeadvantageofthevibrationalenergyoftheairfoilpitchmotion.Ananalyticalmodeloftheproposedenergyharvestingsystemisbuiltandcomparedwithanequivalentmodelusingthewell-exploredpitch-plungeconfiguration.Thedynamicresponseandaveragepoweroutputoftheharvesterarenumericallystudiedastheflowvelocityexceedsthecut-inspeed(flutterspeed).Itisfoundthattheharvesterwithdouble-plungeconfigurationgenerates4%–10%morepowerwithvaryingflowvelocitieswhilereducing6%ofthecut-inspeedthanitscounterpart.
简介:Itisawell-knownfactthatcharactersofafinitegroupcangiveimportantinformationaboutthestructureofthegroup.Itwasalsoprovedbythethirdauthorthatafinitesimplegroupcanbeuniquelydeterminedbyitscharactertable.Heretheauthorsattempttoinvestigatehowtocharacterizeafinitealmost-simplegroupbyusinglessinformationofitscharactertable,andsuccessfullycharacterizetheautomorphismgroupsofMathieugroupsbytheirordersandatmosttwoirreduciblecharacterdegreesoftheircharactertables.
简介:在这份报纸,CD衍生物的三种不同类型作为原子转移激进分子聚合(ATRP)被综合开始者或可逆增加破碎链转移聚合(木排)链转移。为每衍生物的替换的度小心地被描绘通过<啜class=“a-plus-plus”>1H-NMR,<啜class=“a-plus-plus”>13C-NMR光谱学和飞行团spectrometry(MALDI-TOF-MS)的帮助矩阵的激光解吸附作用/电离时间。影响替换的度的因素被讨论。而且,在ATRP和木排之间的比较在N-isopropylacrylamide(NIPAM)的聚合被显示出。