有限型的首次返回例外集的测度和维数北大核心CSCD

设M=(m_(ij))是一个b×b阶矩阵且m_(ij)∈{0,1},∑_(M)是矩阵M=(m_(ij))诱导产生的有限型,σ是其上左推移算子.本文主要研究的是有限型动力系统(∑_(M),σ)上的首次返回速度问题.令τ_(k)(x)是点x∈∑_(M)首次返回到包含x的k阶柱集时间,且E_(α,β)={x∈∑_(M):lim inf_(k→∞)(logτ_(k)(x))/k=α,lim sup_(k→∞)(logτ_(k)(x))/k=β}.我们证明了:当M是不可约矩阵时,对任意0≤α≤β≤+∞,集合E_(α,β)的Markov测度要么等于0要么等于1并且具有满的Hausdorff维数.     

含有陡峭势阱和凹凸非线性项的Kirchhoff型问题的多重正解*

在这篇文章中, 作者研究涉及凹凸非线性项的Kirchhoff型问题-(a + b ∫R3|▽u|²dx) Δu + λV (x)u = μf(x)|u|^q?2u + |u|^p?2u, x ∈ R³,u ∈ H¹(R³),其中a,b > 0 是常数, λ, μ > 0 是参数, 1 < q < 2, 4 < p < 6 且 V 是一个非负连续位势. 在f(x) 和 V 的合适条件下,此问题正解的存在性和集中性能够通过Nehari 流形和Ekeland 变分原理得到.     

江西樟树四特酒香味成分的GC／MS分析

通过对四特酒进行化学处理、分类收集组分,采用GC/MS联用技术对各组分进行分离与定性定量测定,分离出130多个色谱峰,鉴定出65个化合物.     

用几何形体法求解并联机械手位置正解

本文提出以虚拟杆为主要特点的几何形体法用于求解并联机械手的位置正解。与“六维搜索算法”相比,具有初值选取简单,适用性强的特点。为并联机械手的工作空间分析与综合、误差分析与综合等提供了一个有力的工具。     

四棱豆“桂丰三号”主要性状观察初报

报道了“桂丰三号”的主要植物学特征、农艺性状和生长发育特性．“桂丰三号”是一个无限生长型的中晚熟品种,主蔓长３．５～４．５ｍ,其第１５～２０节开始着生花芽、第３～１０节上共长出３～７条侧蔓．３月１５日至６月３０日期间,从播种到开花约需７５天;７月１０日至２０日期间,从播种到开花约需５０天．３月至７月２０日期间,无论何时播种,其开花结荚盛期都在９月中旬至１０月中下旬。单株结荚数３０～５０荚,荚长１９ｃｍ,荚横断面呈正方型,每荚有１５粒种子,老熟种子黄褐色、圆形,千粒重３００ｇ。嫩豆荚淡绿色,成熟豆荚黑褐色．     

Existence and asymptotic results for a system of integro-partial differential equations

A non-Fourier phase field model is considered. A global existence result for a Dirichlet, or generalized Neumann, initial-boundary value problem is obtained, followed by a discussion of the regularity and asymptotic properties of solutions ast.This research was supported in part by the National Science Foundation under Grant DMS 91-11794 and in part by the Italian M.U.R.S.T. project Problemi non lineari...Part of this author's work was done while visiting Ohio University.     

Primeness of the enveloping algebra of a Cartan type Lie superalgebra

We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras , even. Other algebras are considered but there are no definitive answers in these cases.

     

Schiff碱型双(苯并-15-冠-5)对碱金属苦味酸盐的萃取性能研究

用五种Ｓｃｈｉｆ碱型双（苯并＿１５＿冠＿５）为离子载体,在水＿１,２＿二氯乙烷体系中研究了其对碱金属苦味酸盐的萃取性能,测定了分配比Ｄ和萃取平衡常数Ｋｅ．结果表明,这些双冠醚与苦味酸钠以１∶１（冠醚单元∶金属离子）形式络合,而与苦味酸钾和苦味酸铷则以２∶１形式络合．     

On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

Some test statistics of Kolmogorov type and Cramér-von Mises type based on projection pursuit technique are proposed for the testing problem of sphericity of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis and under any fixed alternative. The asymptotic properties of bootstrap approximation are investigated. Furthermore, for computational reasons, an approximation for the statistics, based on the number theoretic method, is suggested. An erratum to this article is available at .