简介:Denotebyn(f)thedegreeofcopositiveapproximationtof(x)bypolynomialsofdegree≤n.Forfunctionf(x)∈Ck[-1,1]whichalternatesinsignfinitelymanytimesin[-1,1],theauthorobtainsthefollowingJacksontypeestimatesn(f)≤Cn-kw(fk,1/n)foaanypositiveintegerk.
简介:AgraphGisκ-orderedHamiltonian2≤κ≤n,ifforeveryorderedsequenceSofκdistinctverticesofG,thereexistsaHamiltoniancyclethatencountersSinthegivenorder,Inthisarticle,weprovethatifGisagraphonnverticeswithdegreesumofnonadjacentverticesatleastn+3κ-9/2,thenGisκ-orderedHamiltonianforκ=3,4,…,[n/19].Wealsoshowthatthedegreesumboundcanbereducedton+2[κ/2]-2ifκ(G)≥3κ-1/2orδ(G)≥5κ-4.Severalknownresultsaregeneralized.
简介:BasedontheX-rayscatteringintensitytheory,thecorrectionfactorsofthedegreeofcrystallinityformulaeofthemulticomponentpolymershavebeenclearlydefined.TheformulaeofthedegreeofcrystallinityofthemulticomponentpolymerswerederivedintermsofWAXDtheoryandimprovedgraphicmultipeakresolutionmethods.Theresultscalculatedaresatisfactoryincomparisonwiththedensitymeasurement.
简介:Abstract.Inthispaper,weintroduceanewapproachtocharacterizetheisomor-phismsofcirculantdigraphs.Intermsofthismethod,wecompletelydeterminetheisomorphicclassesofcirculantdigraphsofdegree3.Inpsrticular,wecharacterizethosecirculantdigraphsofdegree3whichdon''tsatisfyJkdAm''sconjectttre.
简介:AsetDofverticesofagraphG=(V,E)iscalledadominatingsetifeveryvertexofVnotinDisadjacenttoavertexofD.In1996,Reedprovedthateverygraphofordernwithminimumdegreeatleast3hasadominatingsetofcardinalityatmost3n/8.InthispaperwegeneralizeReed'sresult.WeshowthateverygraphGofordernwithminimumdegreeatleast2hasadominatingsetofcardinalityatmost(3n+|V_2|)/8,whereV_2denotesthesetofverticesofdegree2inG.Asanapplicationoftheaboveresult,weshowthatfork>1,thek-restricteddominationnumberr_k(G,y)<(3n+5k)/8forallgraphsofordernwithminimumdegreeatleast3.
简介:在这个工作,我们以它的最小的度和它的顺序为任何图的直径获得好上面的界限,改进由于Erd的一条古典定理?s,Pach,绿鳕和Tuza。我们使用这些界限以便学习夸张的图(在Gromov意义)。计算hyperbolicity常数是一个几乎难处理的问题,这样试着以图的一些参数围住它是自然的。让H(n,0)是有n顶点和最小的度0,和J的图G的集合(n,)是有n顶点和最大的度的图G的集合。我们在图上学习四个后面的extremal问题:一(n,0)=min{(G)|GH(n,0)},b(n,0)=最大{(G)|GH(n,0)},(n,)=min{(G)|GJ(n,)}并且(n,)=最大{(G)|GJ(n,)}。特别地,我们为b获得界限(n,0)和我们计算精确价值一(n,0),(n,,并且(),并且(n,)为n的所有价值,0并且分别地。
简介:Wemeasuretheelectromagneticdegreeoftemporalcoherenceandtheassociatedcoherencetimeforquasi-monochromaticunpolarizedlightbeamsemittedbyanLED,afilteredhalogenlamp,andamultimodeHe–Nelaser.ThemethodisbasedonobservingattheoutputofaMichelsoninterferometerthevisibilities(contrasts)oftheintensityandpolarization-statemodulationsexpressedintermsoftheStokesparameters.Theresultsareingoodagreementwiththosededuceddirectlyfromthesourcespectra.Themeasurementsarerepeatedafterpassingthebeamsthroughalinearpolarizersoastoelucidatetheroleofpolarizationinelectromagneticcoherence.Whilethepolarizervariestheequal-timedegreeofcoherenceconsistentlywiththetheoreticalpredictionsandalterstheinnerstructureofthecoherencematrix,thecoherencetimeremainsalmostunchangedwhenthelightvariesfromunpolarizedtopolarized.Theresultsareimportantintheareasofapplicationsdealingwithphysicalopticsandelectromagneticinterference.
简介:Objective:Toinvestigatetheeffectof360-degreeretinectomyforsevereocularruptureandevaluatetherelatedfactorsassociatedwithprognosis.Methods:Aretrospectiveanalysiswasperformedon28consecutivepatients,18menand10women,withsevereocularruptureadmittedtotheChinesePLAGeneralHospitalbetweenJanuary1999andJanuary2002.Thepatients'agesrangedfrom16to58years,mean29.5years.Alloperationswereperformedbythefirstauthor.Allpatientsunderwentstandard3-portparsplanavitrectomywithscleralencirclingbuckle,endophotocoagulation,andtamponadedwithsiliconeoil.Lensectomywereperformedon15eyes.360-degreeretinotomyandretinectomywereperformedatanteriorequatoron16eyes,andposteriorequatoron12eyes.Results:Duringoperation,allpatientswereconfirmedtohavevitreoushemorrhageandretinaldetachment,inwhichhemorrhagicciliarybodydetachmentwasfoundin9eyes,suprachoroidalhemorrhagein12eyes,retinaltwistinglikeflowerstalkin11eyes,andretinalincarcerationin17eyes.Postoperativefollow-upwasconductedin26cases,rangedfrom6monthsto46months.Retinalreattachmentachievedin20eyes(76.9%),inwhichthreepatients'retinawasreattachedafterrevitrectomy.Thesiliconeoilwasremovedatthefourthmonthin8eyespostoperatively.Correctedvisualacuityof0.02ormorewasin14eyes(70.0%)amongthe20patientswithreattachedretina.Visualacuityof0.05ormorewasin7eyes(35.0%),and0.1ormorewasin3eyes.Thebestvisualacuitywas0.3in1eye.Conclusions:Retinectomymayimprovetheprognosisofsevereocularruptureandsavethevisualfunctionofsomepatients.
简介:让G没有固定的点在的一个集合上的一个排列组,和m是一个积极整数。然后,G的运动被定义为行动(G):=supG{|Gg\G|g?G}行动(G):=\mathop{\sup}\limits_\Gamma\left\{{\left|{\Gamma^g\backslash\Gamma}\right|\left|{g\inG}\right}\right\}。它被Praeger显示出如果行动(G)=m那时|3m+t1,在t是G轨道在上的数字的地方。在这份报纸,有有最大值的度3m+t1的所有不及物的排列组跳了被分类。确实,她问题的一个积极答案是否上面的界限|=3m+t1为|为每t是锋利的>1被给。
简介:ThispaperdevelopsaclaseofquadratureformulawithfirstderivativesItisdemonstratedthatitsdegreeofaccuracyisnotlessthan2k+1forasetofdistinctnodes{x0,x1,...,xn}overinterval[a,b],andjustonly2k+1forequallyspacednodes.FarovercomingtheshortcomingofinvolvingagreatnumberofmanualcomputationsfortheintegrationrulesoftheHermitianinterpolationformula,somesimpleformulasforcomputingautomaticallyβi,γiandE[f]bycomputeraregiven,especiallyforequallyspacednodes.
简介:Aprimitiveequationmodelwithazonaldomainandap-σincorporatedverticalcoordinatesystemisusedtostudytheeffectsoftheenvelopedegreeoforographyonthesimulatedpropertiesofbothwinterandsummerclimates.Resultsshowthattheorographywithalargerenvelopedegreecanim-provethesimulationstocertainextent,especiallyinwinter.Itisfoundthatthesimulatedpropertiesofclimatearemainlydeterminedbytheco-effectsoftheland-seaandtheorographicdistributions,andtheenvelopedegreeoforographyhasasecondaryeffect.Howeveritshouldbetakenproperlyinordertoimprovesimulations:otherwise,itwouldbeharmful.Differentenvelopedegreesoforogra-phycanbeadoptedindifferentareas.