简介:LetKbeanalgebraicnumberfieldoffinitedegreeovertherationalfieldQ,andaK(n)thenumberofintegralidealsinKwithnormn.WhenKisaGaloisextensionoverQ,manyauthorscontributetotheintegralpowersumsofaK(n),Σn≤xaK(n)l,l=1,2,3,···.Thispaperisinterestedinthedistributionofintegralidealsconcerningdifferentnumberfields.TheauthorisabletoestablishasymptoticformulaefortheconvolutionsumΣn≤xaK1(nj)laK2(nj)l,j=1,2,l=2,3,···,whereK1andK2aretwodifferentquadraticfields.
简介:<正>Inthispaperaspecialkindoftriangulatedmapsonthespherecalledfairtriangulationsisenumeratedwiththesizeofmapsasparameter.Moreover,thenumberofseveralotherkindsoftriangulationsareenumeratedaswell.
简介:TheSagaofNumber108¥FANBENJICivilaviationbeingwhatitisinChina,aplethoraofinterestingstories,someofthemquitecompelling,wasinevi...
简介:Theprocessofsinteringofseveralparticlesincontactviaaviscousflowmechanismwasstudiednumericallyusingcomputationalfluiddynamics.Thevolumeoffluidtechniquewithinafinitevolumemethodwasusedtosimulatebridgeformationbetweenparticles,aswellasdensificationatdifferentconfigurationalstatesoftheparticles.Themethodwasvalidatedbycomparingresultsfortwo-particlecoalescencewiththeliterature.Theeffectofthenumberofparticlesonagglomerationkineticswasstudiedbycomparingbridgegrowthrateforsystemshavingdifferentnumbersofparticlesinachain.Althoughincreasingthenumberofparticlesledtoadecreaseinthelocalbridgegrowthrateandtoslowerequilibration,therewerenomarkeddifferences,whentheoverallvolumeofthesystemwasconsidered.Theeffectofcoordinationnumberonthedensificationratewasdirectlystudiedbychangingthenumberofparticlesincontactwithacentralparticle.Increasingthecoordinationnurnbeccausedtheoverallrateofdensificationtoincrease,butdelayedequilibration,analogoustostericeffects.Thesefindingsdescribetheconfigurationalstateofagglomerates,typicalofmesoscalecaking.Inamulti-scalestudy,theycanbeusedtocharacterizecakingatabulkscaletopartlyaddressthelackofexperimentaldatainthisfield.
简介:LetH=(V,E)beaК-uniformhypergraph.For1≤s≤К—1,ans-pathPn^(К,s).oflengthninHisasequenceofdistinctverticesυ1,υ2,…,υs+n(К-s)suchthat{υ1+i(К-s),…,υs+(i+1)(К-s)}isanedgeofHforeach0≤i≤n-1.Inthispaper,weprovethatR(Pn^(3s,s),P3^(3s,s))=(2n+l)s+1forn≥3.
简介:Thispapergivesthedefinitionandoperationsofblindnumber,anddiscussesitsoperationproperties.Blindnumberisamathematicaltooltoexpressanddealwithcomplexinformationwithseveralkindsofuncertainty.
简介:一张图的一个顶点被说统治它的邻居的本身和所有。图G的一个双统治集合是G的顶点的集合D,以便G的每个顶点被D的至少二个顶点统治。图G的双支配数字是G的一个双统治集合的最小的集的势。为图G=(V,E),如果V(G)\D的每个顶点在D有至少二位邻居,子集DV(G)是一个2-dominating集合,当如果,统治G的集合是2-outer-independent的时另外集合V(G)\D是独立的。G的2-outer-independent支配数字是统治G的集合的2-outer-independent的最小的集的势。这份报纸加一个与双支配数字平等者描绘所有树到2-outer-independent支配数字。