共查询到20条相似文献,搜索用时 250 毫秒
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本文证明了:方程x2+2m=yn,x,y,m,n∈N,gcd(x,y)=1,n>2仅有有限多组解(x,y,m,n),而且当(x,y,m,n)≠(5,3,1,3),(11,5,2,3),(7,3,5,4)时,n是适合n≡7(mod8)以及23≤n<8.5·106的奇素数,max(x,y,m)<C1;方程x2-2m=yn,x,y,m,n∈N,gcd(x,y)=1,y>1;n>2仅有有限多组解(x,y,m,n),而且这些解都满足n<2·109炉以及max(x,y,m)<C2,这里C1,C2是可有效计算的绝对常数. 相似文献
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多年来,本刊录用的每一篇文章,都是先致信作者,通知稿件录用,并要求回信说明文章是否他投,大多数作者回信都会如实说明情况,但是,最近发现有些作者并未说真话,导致文章在多家杂志先后登出,造成了恶劣影响.这种影响是多方面的,首先,这是对作者自身诚信的一种否定;其二,这是对审稿人劳动的不尊重;其三,杂志的版面有限,这种行为直接剥夺了其他作者展现自己成果的机会;其四,这种行为严重影响了杂志的声誉,一些热心的读者通过电话,电子邮件和信件等形式指出这种现象,并列出了这些作者的名单和发表文章的题目,强烈谴责这种行为,在此,我们向这些关心和支持杂志的读者表示感谢,此前,为了保护作者的积极性,并未进行公开批评,针对当前这种现象呈增多之势,本着保护其他作者积极性、维护杂志声誉的想法,对于今后出现一稿多投的作者,我们将公开批评,列出作者姓名和发表文章题目,以正视听,下面摘登了朱永厂老师的一封来信. 相似文献
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两向量组与其对应的齐次线性方程组之间关系的讨论宋福民邱根胜(南昌航空工业学院,南昌330034)设有两个n维向量组:A:αj=(aj1,aj2,…,ajn),j=1,2,…,s1,B:βj=(bj1,bj2,…,bjn),j=1,2,…,s2.记A=... 相似文献
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关于Shannon-McMillan定理的若干研究 总被引:1,自引:0,他引:1
设{Xn,n≥1}是字母集为S={1,2,…,N}上的任意信源,其分布为p{x1,…,xn},(pk(1),pk(2),…,pk(N),k=1,2,…,是S上的一列分布 称为{Xk,1≤k≤n}相对于乘积分布 的熵密度偏差,本文利用这个概念研究任意信源的极限性质,其中包括在没有平稳性和遍历性假设情况下对ShannonMcMillan定理的某些讨论. 相似文献
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曹珍富 《数学年刊A辑(中文版)》1995,(2)
本文证明了以下结果:设α1,α2,α3,α4,α5均为正整数,p为素数且.如果G是阶为的单群,则G同构于下列单群之一:A11,A12;M22,Hi-S2McL,He;A1(q)(q=26,53,74,29,41,71,251,449,4801),A2(32),A3(22),A3(7),A4(2),A5(2),B2(23),B2(72),B3(3),B4(2),C3(3),D4(3),G2(2),G2(5),2A2(19),2A3(5),2A3(7),2A4(3),2A5(2),2D4(2). 相似文献
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三位数内的颠倒数列相减,按常规需逐位相减,不够减需借位,显得麻烦,费时,费力,若用巧减法则快速,省时,省力,很简便,归结如下。 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献