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1.
关于图的(g,f)-因子分解的一些新结果   总被引:1,自引:0,他引:1  
本文讨论图的(g,f)-因子分解问题,推广了文[1]关于图的因子分解的理论,改进了文[2]的一些结果,给出了一个图G是(g,f)-可因子化的若干充分条件.  相似文献   

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广义柯西中值定理的“中间点”的渐近性殷子和,马龙友(武汉工业大学北京研究生部)(北京建筑工程学院)文[1]、[2]对柯西中值定理的“中间点ξ”的渐近性问题进行了研究.本文给出广义柯西中值定理的“中间点ξ”的渐近性定理,并予以证明.柯西中值定理的一种推...  相似文献   

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Inthispaper,weconsideroscillatoryofequation(1)[x(t)+cx(t-τ)]″+∫bap(t,ξ)x[g(t,ξ)]dσ(ξ)=0,(1)whereτ0;p(t,ξ),g(t,ξ)∈C([t0,+∞)×[a,b],R);g(t,ξ)t,ξ∈[a,b];g(t,ξ)arenon-decreasingwithtot,ξ,respectivelyandlimt→+∞minξ∈[a,b]{g(t,ξ)}=+∞,σ(ξ)∈([a,b],R)isnondecr…  相似文献   

4.
邓波 《数学通报》1998,(2):47-47
关于积分第一中值定理的补充说明邓波(贵州织金煤勘一七四队子校552100)在数学分析教材[1]、[2]及[3]中,积分第一中值定理被叙述为:“若f(x)在[a,b]上连续,g(x)在[a,b]上不变号,且在[a,b]上可积,则在[a,b]中存在一点ξ...  相似文献   

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本文将高等数学中积分中值定理的结论中的ξ∈[a,b]改进为ξ∈(a,b).  相似文献   

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关于FIBONACCI数列的注记   总被引:4,自引:1,他引:3  
关于FIBONACCI数列的注记*陈木法(北京师范大学数学系100875)新近的文[1]和[2]研究了Fibonacci数列(简称为F数列)的一些性质,笔者发现这些结果大多容易从文[3]的两条基本性质导出.因而略作说明所谓F数列,乃是F0=0,F1=...  相似文献   

7.
刘颖 《数学通报》1999,(5):45-46
在我国出版或翻译出版的一些概率论习题集中有这样一道题:设{ξn}为具有相同的数学期望、方差(有界)的随机变量序列,且当i≠j时E(ξiξj)≤0,证明{ξn}服从(弱)大数律.参见[1]、[2].按照有些书提示的证明方法,可设对任意n有Eξn=μ,D...  相似文献   

8.
在文[1]的基础上,对单调线性互补问题(MLCP)给出了不同于文[17]的最小原则的另一形式,并提出了一个在有限步内求出单调线性互补问题解集的新算法;给出了单调线性互补问题的三个误差界公式.这些公式推广了文[6]的有关结果,并且较文[8]中的误差界表示形式简洁和易于检验.  相似文献   

9.
文[1]定义了广义正定矩阵集合P(I).文[2]定义了较P(I)更广泛的另一个广义正定矩阵集合P(S+).本文把P(I)中矩阵的某些性质,推广到P(S+)中从而丰富了P(S+)矩阵集合的结果。  相似文献   

10.
本文利用文[1]中的有关结果,讨论带等式约束和不等式约束的多目标规划关于Geoffrion真有效解的对偶性,建立了Wolfe及Mond-Weir型对偶问题,并在G-(F,ρ)凸型假设下,证明了弱、强及逆对偶定理.  相似文献   

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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.  相似文献   

13.
It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.  相似文献   

14.
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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<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   

19.
<正>Aims and Scope Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,is one of the transactions of China Society for Industrial and Applied Mathematics,and is a bimonthly journal.JMRA is dedicated to publishing first-rate original research papers in all areas of mathematics with applications,and making research findings available to a wide scientific world,as JMRE has for many years.In line with the name change,the new scope of Journal of Mathematical Research with Applications will not include the articles on mathematical methodology and mathematical philosophy.Copyright Information  相似文献   

20.
<正>Erratum to:Science in China Series A:Mathematics,April 2009 Vol.52 No.4:617–630doi:10.1007/s11425-009-0038-2There is a mistake in the proof of[1,Lemma 2.2],which occurs in 4-th line at[1,p.619],  相似文献   

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