N-Widths and Average Widths of Besov Classes in Sobolev Spaces

In this paper, we consider the n-widths and average widths of Besov classes in the usual Sobolev spaces. The weak asymptotic results concerning the Kolmogorov n-widths, the linear n-widths, the Gel＇fand n-widths, in the Sobolev spaces on T^d, and the infinite-dimensional widths and the average widths in the Sobolev spaces on Ra are obtained, respectively.     

具功能反应的三种群捕食者——食饵系统数学模型稳定性的研究

[1]中提出了具有功能反应的三种群捕食者——食饵系统的两种模型(Ⅰ)、(Ⅱ),并给出了局部渐近稳定的条件。本文研究了另外两种模型(Ⅲ)和(Ⅳ)的局部渐近稳定的条件。     

Bipyridinophane‐containing conjugated polymers modulated with an intramolecular aromatic C?H/π interaction

Bipyridinophane–fluorene conjugated copolymers have been synthesized via Suzuki and Heck coupling reactions from 5,8‐dibromo‐2,11‐dithia[3]paracyclo[3](4,4′)‐2,2′‐bipyridinophane and suitable fluorene precursors. Poly[2,7‐(9,9‐dihexylfluorene)‐co‐alt‐5,8‐(2,11‐dithia[3]paracyclo[3](4,4′)‐2,2′‐bipyridinophane)] ( P7 ) exhibits large absorption and emission redshifts of 20 and 34 nm, respectively, with respect to its planar reference polymer Poly[2,7‐(9,9‐dihexylfluorene)‐co‐alt‐1,4‐(2,5‐dimethylbenzene)] ( P11 ), which bears the same polymer backbone as P7 . These spectral shifts originate from intramolecular aromatic C? H/π interactions, which are evidenced by ultraviolet–visible and ¹H NMR spectra as well as X‐ray single‐crystal structural analysis. However, the effect of the intramolecular aromatic C? H/π interactions on the spectral shift in poly[9,9‐dihexylfluorene‐2,7‐yleneethynylene‐co‐alt‐5,8‐(2,11‐dithia[3]paracyclo[3](4,4′)‐2,2′‐bipyridinophane)] ( P10 ) is much weaker. Most interestingly, the quenching behaviors of these two conjugated polymers are largely dependent on the polymer backbone. For example, the fluorescence of P7 is efficiently quenched by Cu²⁺, Co²⁺, Ni²⁺, Zn²⁺, Mn²⁺, and Ag⁺ ions. In contrast, only Cu²⁺, Co²⁺, and Ni²⁺ ions can partially quench the fluorescence of P10 , but much less efficiently than the fluorescence of P7 . The static Stern–Volmer quenching constants of Cu²⁺, Co²⁺, and Ni²⁺ ions toward P7 are of the order of 10⁶ M^?1, being 1300, 2500, and 37,300 times larger than those of P10 , respectively. © 2006 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 44: 4154–4164, 2006     

有关健康的一些思考--新疆高校研究生体育活动现状的调查报告

文章通过对新疆高校在校研究生参加体育活动现状的问卷调查,分析了新疆高校研究生体育意识和健康观念以及所存在的问题,在此基础上,提出对研究生进行“健康第一”的意识教育以及从事体育活动的必要性教育.     

胆识卓越学养丰厚——李金坤《风骚比较新论》读后

《风骚比较新论》是一部功力深厚且具有开拓性意义的学术专著，作者别具卓越的胆识、丰厚的学养，第一次将《诗经》与《楚辞》进行全面而系统的深入比较研究，颇多新见。作者还将学术研究自觉与现实社会问题结合起来论析，具有高度的时代责任感。     

RECURSIVE BAIRE CLASSIFICATION AND SPEEDABLE FUNCTIONS

Using recursive variants of Baire notions of nowhere dense and meagre sets we study the topological size of speedable and infinitely often speedable functions in a machine-independent framework. We show that the set of speedable functions is not “small” whereas the set of infinitely often speedable functions is “large”. In this way we offer partial answers to a question in [4].     

《生产与运作管理》教学中企业参观的课程设计

分析了增强MBA《生产与运作管理》课程教学实践的重要性和几种途径,着重对"企业参观"教学形式进行探讨,并对其进行课程设计.     

哈夫曼编码的JAVA实现

叙述了哈夫曼编码的思想以及用JAVA语言实现其程序设计的详细过程     

探索直角三角形全等的最佳途径

义务教育实验教材(北师大版本)已进入万州区第二高级中学的课堂。新教材按照新的时代要求和素质教育观念，力图体现新的课程观、教材观、教学观和学习观，以培养学生的创新精神和实践能力为重点，以提高学生的综合素质为目标。笔者以探索直角三角形全等的最佳途径来创造性地使用教科书积极开发。