简介:Animprovedrandomizedalgorithmoftheequivalent2-catalogsegmentationproblemispresented.Theresultobtainedinthispapermakessomeprogresstoanswertheopenproblembyanalyzethisalgorithmwithperformanceguarantee.A0.6378-approximationfortheequivalent2-catalogsegmentationproblemisobtained.
简介:Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.
简介:对赋Luxember范数或Orlicz范数的Orlicz型序列空间,诸如古典的、广义的及参数式的,本文总结、补充、比较列出了暴露点及暴露性的充分必要刻画,并对以往结果中的错误进行了修正,从而在序列空间方面系统地完成了有关暴露性的刻画。
简介:设g1.g2为正规函数.对所有的0〈p.q〈∞,我们得到了Bergma型空间的加权Cesaro算子Tψ:Ag1^p→Ag2^q为有界算子和紧算子的充要条件.
简介:利用文献[1]中非对称逼近的方法得到了周期型Bohr不等式.
简介:Inthispaper,theauthorsobtaintheBaecklundtransformationontime-likesurfaceswithconstantmeancurvatureinR^2,1.Usingthistransformation,familiesofsurfaceswithconstantmeancurvaturefromknownonescanbeconstructed.
简介:让p是一个奇怪的素数。在我们介绍的这份报纸,二次的线性p鈥揳lgebraQ1由合适改变Q的发电机获得了,在H鈭炩€搑ing系列的范畴的cohomology操作的同类的二次的代数学,并且仔细看在情况p=相似的商在cohomology上导致的地图2,结果是injective。因此,它的目标包含古典亚当斯的E2鈥搕erm光谱顺序作为subalgebra。对的明确的描述在Q上在合理假设下面被给是Koszul代数学。关键词Koszul代数学-代数学的Cohomology-亚当斯光谱顺序先生(2000)题目分类55S10-18G15-55T15
简介:WeinvestigatethenonlinearSchrdingerequationiut+△u+|u|p-1u=0with1+4/N
2)(whenN=1,2,1+4/N
2>||Q||(1-sc)/sc|▽Q||2,theneitheru(t)blowsupinfiniteforwardtimeoru(t)existsgloballyforpositivetimeandthereexistsatimesequencetn→+∞suchthat||▽u(tn)||2→+∞.HereQisthegroundstatesolutionof—(1—sc)Q+△Q+|Q|p-1Q=0.Asimilarresultholdsfornegativetime.Thisextendtheresultofthe3DcubicSchr(o|¨)dingerequationobtainedbyHolmertothegeneralmass-supercriticalandenergy-subcriticalcase.
简介:Inthisarticle,the2-variablegeneralpolynomialsaretakenasbasewithPeterspolynomialstointroduceafamilyof2-variablePetersmixedtypepolynomials.Thesepolynomialsareframedwithinthecontextofmonomialityprincipleandtheirpropertiesareestablished.Certainsummationformulaeforthesepolynomialsarealsoderived.Examplesofsomemembersbelongingtothisfamilyareconsideredandnumbersrelatedtosomemixedspecialpolynomialsarealsoexplored.
简介:Let(.theMuckenhouptclass).Inthispaper,theauthorintroducetheweightedHerz-typeHardyspaces(w2)andpresenttheiratomicdecomposition.Usingtheatomicdecomposition,theauthorfindouttheirdualspaces,establishtheboundednessonthesespacesofthepseudo-differentialoperatorsoforderzeroandshowthat,theclassofC(Rn)-functionswithcompactlysupport,isdenseinandthereisasubsequence,whichconvergesindistrbutionalsensetosomedistributionof,ofanyboundedsequenceinInaddition,theauthoralsosetuptheboundednessofsomenon-linearquantitiesincompensatedcompactness.