简介:Anumbilicalfreeorientedhypersurfacex:M→Rnwithnon-zeroprincipalcurvaturesiscalledaLaguerreisoparametrichypersurfaceifitsLaguerreformC=iCiωi=iρ1(Ei(logρ)(rri)Ei(r))ωivanishesandLaguerreshapeoperatorS=ρ1(S1rid)hasconstanteigenvalues.Hereρ=i(rri)2,r=r1+r2+···+rn1n1isthemeancurvatureradiusandSistheshapeoperatorofx.{Ei}isalocalbasisforLaguerremetricg=ρ2IIIwithdualbasis{ωi}andIIIisthethirdfundamentalformofx.Inthispaper,weclassifyallLaguerreisoparametrichypersurfacesinRn(n>3)withtwodistinctnon-zeroprincipalcurvaturesuptoLaguerretransformations.
简介:<正>Newkindsofstronglyzero-dimensionallocalesareintroducedandcharacterized,whicharedifferentfromJohnstone’s,andalmostallthetopologicalpropertiesforstronglyzero-dimensionalspaceshavethepointlosslocalicforms.Particularly.theStone-Cechcompactificationofastronglyzero-diluensionallocaleisstonglyzero-dimensional.
简介:
简介:Foranasymmetricmatrix,thezero-nonzeropatternPofentriescanbedescribedbyadigraphΓ(P)whichhasanarcifanentryisnonzero.Theminimumrankofazero-nonzeropatternisdefinedtobethesmallestpossiblerankoverallrealmatriceshavingthegivenzero-nonzeropattern.Definitionsofvariousgraphparametersthathavebeenusedtoboundminimumrankofazerononzeropattern,includingpathcovernumberandeditdistance,andthetrianglesizetri(P).Inthispaper,byconvertingadigraphintoanundirectedbipartitegraphG(U,V),wepresentanalgorithmforconstructingasub-bipartitegraphwiththeuniquemaximumperfectmatchingM',andobtainthattri(P)=|M'|forP.
简介:Inthispaper,forzero-failuredata(ti,ni),atmomentti,ifthepriordistributionofthefailureprobabilitypi=P{T<ti}isincompleteFisher-Zdistribution:Fisher-Z(0,λi;a,b),theauthorgivespihierarchicalBiyesianestimationandtheestimationofreliabilityunderzero-failuredataconditionisobtainedalso.Theauthoralsogivesapracticalcalculatingexampleusingthetheory.
简介:Ananalyticalsolutionisgivenforatime-decayRankinevortexprofileduetoviscouseffects.Thevortexfilamentisassumedtobeisolated,strong,concentratedandhavingzero-meridionalflow(i.e.radialandaxialvelocitiesareequaltozero).Zero-meridionalrendersthegoverningequationsforanunsteady,incompressibleandaxisymmetricvortexinasimpleform.Basedonthetangentialmomentumequation,thespatial-temporaldistributionsoftheswirlvelocityaregivenintermsofFourier-Besselseriesbyusingseparationofvariablestechnique.Ageneralformulaisderivedbytotaldifferentiationoftheswirlvelocitywithrespecttotime,depictingtheviscousdissipationforOseenandTaylor-likevortexprofiles.Thisanalysisisvalidatedbycomparisonwithpreviousexperimentaldata.