POLES OF ZETA FUNCTIONS OF COMPLETE INTERSECTIONS

51.IntroductionLetF.beafinitefieldofqele~swithcharederisticp.LetXbeanThdilnensionalalgebraicsetdeadedoverF..ThezetafunctionofX/F.isdennedbywhereXOdenotesthesetofclosedpointsOfX/F.and#X(F.d)denotesthenUInberof.F.d-rationalpointsonX.ItiseasytoseethatZ(X,T)isapowerserieswithintegercoefficients.Dwork'srationalltytheoremIg]showsthatthezetafunctionZ(X,T)isrationalinT.ThuS,therearealgebraicintegerspll'.3Pr,pl,'3basuchthatThereisagoodreasonthatwemoantheabovezetafunctionbythepower(--1)"-…     

CONTINUOUS L-DOMAINS

61.IntroductionConiinuousDCPOisoneofthemostimportantstructuresin-domaintheory.Unfor-tunatelythecategoryofcolltinuousDCPOandtheScottcontinuousfunctionsfailstobeCartesianclosed,soitisaverysignificantproblemtofinditsmakimalCartesianclosedfullsubcategories.ThecategoryofL-domain'swasdiscoveredbyA.JungwhilesolvingtheproblemoffindingmtalmalCartesianclosedcategoriesofalgebraicDCPO's[1l,andrecentworksbyA.JungandG.Gund.r[2]showsthatthecategoryofL-domain'sisaninterestingcategoryOntheotherhand,i…     

(伪)单调集值映射拟均衡问题

主要讨论G-凸上的广义向量拟均衡问题,推广W.O ettli,D.Sch l ger,Q.H.A nsari,I.V.K onnov,和J.C.Y ao的一些主要结果.     

CONVERGENCE RATE OFDISTRIBUTIONS OF TRIMMED SUMS

1.IntroductionLet{Xn,n2l}beasequenceofi.i.d.randomvariableswithnondegeneratedistributionF.Fornonnegativeintegersk.andrn,k. rn相似文献   

THE INVARIANT CONTINUOUS-TRACE C^＊-ALGEBRAS BY THE ACTIONS OF COMPACT ABELIAN GROUPS

1.IntroductionLet(A,G,a)beaC*-dynamicsystem.TherelationbetweenAxosGandAhasbeenstudiedforalongtime,andconsiderableprogresshasbeenmade.SpeciallyifAisacontinuous-traceC*-algebra,I.Raeburnandhiscollaboratorsgotrichresultsseveralyearsago.Forexample,[17]and119]saythatifAisparacompact,Gisabelianandaislocallyunitary,thenAiscontinuous-traceiffAxosGiscontinuous-trace.Inotherdirection,therelationbetweenAxosGandA"withGcompacthasalsobeenstudiedformanyyears.Themovementofthispaperistoinvestigatethec…     

Two Generating Mappings ωL and lL in Complete Lattices TVS and LFTVS

61.IntroductionRecently,weseparatelygavetheconceptofL-fuzzytoPOfoicalvectorspaceanddiscussthecontinuityofL-fuzzylinearorder-homomorphismin[lJ,[2],andweobtainedalotofin-terestingpropertiesinL-fuzzytopologicalvectorsPaces.Butthereisabasicproblem,i.e.whetherthedefinitionofL-fuzzytoPologicalvectorsPacesin[1]isagoodextensionornot,isn,tsolved.Inviewofthis,weintendheretodiscusstwogeneratingmappingscoLandt.L4j'andweprovedthedefinitionofL-fuzzytoPOlogicalvectorspacesisagoodextensioninthe'senseofR…     

Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes

The convergence to steady state solutions of the Euler equations for weighted compact nonlinear schemes (WCNS) [Deng X. and Zhang H. (2000), J. Comput. Phys. 165, 22-44 and Zhang S., Jiang S. and Shu C.-W. (2008), J. Comput. Phys. 227, 7294-7321] is studied through numerical tests. Like most other shock capturing schemes, WCNS also suffers from the problem that the residue can not settle down to machine zero for the computation of the steady state solution which contains shock waves but hangs at the truncation error level. In this paper, the techniques studied in [Zhang S. and Shu. C.-W. (2007), J. Sci. Comput. 31, 273-305 and Zhang S., Jiang S and Shu. C.-W. (2011), J. Sci. Comput. 47, 216-238], to improve the convergence to steady state solutions for WENO schemes, are generalized to the WCNS. Detailed numerical studies in one and two dimensional cases are performed. Numerical tests demonstrate the effectiveness of these techniques when applied to WCNS. The residue of various order WCNS can settle down to machine zero for typical cases while the small post-shock oscillations can be removed.     

Uniqueness of entire functions sharing one value

We deal with the problem of entire functions sharing one value weakly. Moreover, we improve and generalize some former results obtained by J.-F.Chen, et al. [6], Y.Xu and H.L.Qiu [4], M.L. Fang [5], C.C. Yang, and X.H. Hua [3].     

A THEOREM ON PLURICANONICAL MAPS OF NONSINGULAR MINIMAL THREEFOLDS OF GENERAL TYPE

51.IntroductionandtheMainTheoremLetXbeacomplexnonsingularminimalprojectivethreefoldofgeneraltype.ThenatureofpluricanonicalmapsofXisveryimportanttotheclassificationtheory.Itiswell-knownfrom[10]that4linK.lisabirationalmapform27.In[3],itisprovedthat6-canonicalmapofXisabirationalmapontoitsimage.Inthispaper,wemainlystudythefollowingproblem:Problem.WhatisthegreatestpositiveintegercosuchthatImoKxliscomposedOjapencilOjsudecesforsomeX,i.e.,dim4Im.H.I(X)=1?Benv.ni,te[1]provedthatmo53.Wecaneasily…     

PARAMETERS OF DARBOUX TRANSFORMATION FOR REDUCED AKNS, KAUP-NEWELL AND PCF SYSTEMS

51.IntroductionDarbouxtransformationisapowerfulmethodtogetexplicitsollltionsofnonlinearPDEs.In1 1dimensions,itgivesauniversalalgorithmtogetaseriesofsolutionsbysolvinglinearODEsonlyonce.TheconstructionsofDarbouxtransformationshavebeenwidelyinvestigated(see,e.g.[1,3,5,7,8,9,10,11,13]).In1 1dimensions,aDarbouxtransformationisusuallygivenbyaDarbouxmatrixwhichisapolynomialofthespectralparameter.ThemostfundamentalDarbouxmatrixisaDarbouxmatrixofdegreeone,whichislinearinthespectralparameter.Letg…     

A Quasilinear System Related with the Asymptotic Equation of the Nematic Liquid Crystal’s Director Field*

In this paper, the author studies the local existence of strong solutions and their possible blow-up in time for a quasilinear system describing the interaction of a short wave induced by an electron field with a long wave representing an extension of the motion of the director field in a nematic liquid crystal’s asymptotic model introduced in [Saxton, R. A., Dynamic instability of the liquid crystal director. In: Current Progress in Hyperbolic Systems (Lindquist, W. B., ed.), Contemp. Math., Vol.100, Amer. Math.Soc., Providence, RI, 1989, pp.325–330] and [Hunter, J. K. and Saxton, R. A., Dynamics of director fields, SIAM J. Appl. Math., 51, 1991, 1498–1521] and studied in [Hunter, J. K. and Zheng, Y., On a nonlinear hyperbolic variational equation I, Arch. Rat. Mech. Anal.,129, 1995, 305–353], [Hunter, J. K. and Zheng, Y., On a nonlinear hyperbolic variational equation II, Arch. Rat. Mech. Anal., 129, 1995, 355–383] and in [Zhang, P. and Zheng,Y., On oscillation of an asymptotic equation of a nonlinear variational wave equation,Asymptotic Anal., 18, 1998, 307–327] and, more recently, in [Bressan, A., Zhang, P. and Zheng, Y., Asymptotic variational wave equations, Arch. Rat. Mech. Anal., 183, 2007,163–185].     

ON THE SUPERSTABILITY OF THE PEXIDER TYPE GENERALIZED TRIGONOMETRIC FUNCTIONAL EQUATIONS

The aim of this paper is to investigate the superstability problem for the pexiderized trigonometric functional equation∑ v∈Φ∫Kf(xkv(y)k-1)dwK(k)= Φ g(x)h(y), x, y ∈ G,where G is any topological group, K is a compact subgroup of G, ωK is the normalized Haar measure of K, Φ is a finite group of K-invariant morphisms of G and f, g, h are continuous complex-valued functions.Consequently, we have generalized the results of stability for d'Alembert's and Wilson's equations by R. Badora, J. Baker, B. Bouikhalene, P. Gavruta, S. Kabbaj, Pl. Kannappan, G. H.Kim, J.M. Rassias, A. Roukbi, L. Sz′ekelyhidi, D. Zeglami, etc.     

武汉市2008届高中毕业生二月调研测试理科数学试题

一、选择题(每小题5分,共50分) 　　1.复数z满足方程:z=(z+2)i,则z= 　　A.1+i B.1-i C.-1+i D.-1-i 　　2.在等差数列{an}中,a3=9,a9=3,则a12= 　　A.0 B.3 C.6 D.-3 　　……     

Regularity criteria for Navier-Stokes-Allen-Cahn and related systems

We prove a regularity criterion for the 3D Navier-Stokes-Allen-Cahn system in a bounded smooth domain which improves the result obtained by Y. Li, S. Ding, and M. Huang [Discrete Contin. Dyn. Syst. Ser. B, 2016, 21(5): 1507-1523]. We also present a similar result to the 3D Navier-Stokes-Cahn- Hilliard system.     

Convergence analysis of the corrected Uzawa algorithmfor symmetric saddle point problems简

For the large sparse saddle point problems, Pan and Li recently proposed in [H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31（3）： 231-242] a corrected Uzawa algorithm based on a nonlinear Uzawa algorithm with two nonlinear approximate inverses, and gave the detailed convergence analysis. In this paper, we focus on the convergence analysis of this corrected Uzawa algorithm, some inaccuracies in [H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31（3）： 231-242] are pointed out, and a corrected convergence theorem is presented. A special case of this modified Uzawa algorithm is also discussed.     

名人名著谈统计学

W.E.Denting(1940),Discussion of Professor Hottelling's Paper "The Teaching of Statistics"(Ann.Math.Stat.Vol.11,457-470): Above all,a statistician must be a scientist. 最重要的是,统计学家应该是科学家.     

Fuzzy Ordered Filters in Implicative Semigroups

Animplicativesemilatticeisanalgebraicsystemhavingasmodelslogicalsystemsequippedwithimplicationandconjunction,butnotpossessingadisjunction.ImplicativesemilatticeswerestudiedbyW.C.Nemitz[5].In[2],T.S.BlythgeneralizedsomeresultsofW.C.Nemitz[5]byintroducingthenotionofaBrouweriansemigroup.FollowingtheideasofNemitzandBlyth,M.W.ChanandK.P.Shum[3]introducedthenotionofnegativelypartiallyorderedimplicativesemigroupsandgeneralizedsomeresultofNemitzonimplicativesemilatticestoim-plicativesemigroups…     

GENERALIZED RICCATI TRANSFORMATION AND OSCILLATION FOR LINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

Using generalized Riccati transformation, some new oscillation criteria for damped linear differential equations are established. These results improve and generalize some known oscillation criteria due to A.Wintner, I.V.Kamenev for the undamped linear differential equations, and Sobol, J.S.W.Wong for the damped linear differential equations.     

中学生中存在的24种不良学习习惯

良好的学习习惯是有效提高学业成绩的保障,不良的学习习惯影响、制约着广大学生的学习效率.现列举24种当代中学生不良学习习惯,愿广大学生、家长对照参考,矫正不足,养成良好习惯,提高学习水平.1.学习、生活、作息不规律,无计划.2.学习用品乱堆乱放,用时又找不到.3.审题不清,随意下笔.4.课堂上不主动回答老师提出的问题.     

THE LSRS PROPERTY AND THE CONVERGENCE THEOREM OF HENSTOCK-KURZWEIL INTEGRAL

1Introducti0nandPreliminariesIn19571958,J.KurzweilandR.Henst0ckindependentlygaveaRiemannc0mpletetypeintegral,calledtl1eKurzweil-Henstockintegral(0rKH-integral/H-integral)['].Itisan0n-absoluteinterga1anditsdefinitiondoesn0tneedthemeasuretlieory.lthasbeenprovedthatthisintegralisequivalenttothespecialDenjoyilltegral['].Theref0retlieH-integralc0ntainstl1eNewton,ffiemann,Improper-fuemannandLebesgueintegrals.In1985,P.Y.LeeandT.S.ChewgavetheC0ntr0lledC0nvergenceTheorem,andmadetheH-integraJ…