《淮南万毕术》夏造冰之新解——兼与厚宇德先生商榷

二十多年来学术界关于《淮南万毕术》“夏造冰”问题的讨论颇具戏剧性．1983年洪震襄否定了这种可能性，十年之后李志超、赵虹君的相关研究得出了相反的结果．2004年厚宇德研究了李、赵肯定说实验方案，得到出乎意料的相反结论．本文根据原文提出一个新的技术思路，按此思路，则有可能实现“夏造冰”．实际操作中能不能达到预想的目标，还有待于实验验证．     

PEAK COVARIANCE STABILITY OF A RANDOM RICCATI EQUATION ARISING FROM KALMAN FILTERING WITH OBSERVATION LOSSES

We consider the stability of a random Riccati equation with a Markovian binary jump coefficient. More specifically, we are concerned with the boundedness of the solution of a random Riccati difference equation arising from Kalman filtering with measurement losses. A sufficient condition for the peak covariance stability is obtained which has a simpler form and is shown to be less conservative in some cases than a very recent result in existing literature. Furthermore, we show that a known sufficient condition is also necessary when the observability index equals one.     

CONSTRUCTIVE KISSING NUMBERS IN HIGH-DIMENSIONAL SPACES

In the present paper, we focus on constructive spherical codes. By employing algebraic geometry codes, we give an explicit construction of spherical code sequences. By making use of the idea involved in the proof of the Gilbert-Varshamov bound in coding theory, we construct a spherical code sequence in exponential time which meets the best-known asymptotic bound by Shamsiev and Wyner.     

地方农业院校精品课程建设的工作重点

从精品课程的内涵和特征入手,分析了建设精品课程的工作重点,提出了精品课程建设措施。     

合理运用文体分析,深刻体会诗歌之美——以埃德加·爱伦·坡的《乌鸦》为例

在诗歌教学中适当运用文学文体学的一些分析方法引导学生对诗歌进行分析和解读,可以使学生更加准确地把握诗歌的主题,深刻体会到英语诗歌之美学价值和文学的无穷魅力。文章拟以美国诗人爱伦.坡的叙事诗《乌鸦》为例来说明在课堂上如何把文体学的分析方法和文学作品的鉴赏与解读结合起来。     

建筑与寻常景观——华南理工大学建筑设计院创作室环境设计

从设计定位、空间布局、技术细节三方面入手,详细介绍了华南理工大学建筑设计院创作室环境设计的理念和手法。论述了作为建筑设计事务所周边环境的设计,如何做到如寻常景观一般与原有环境相融合的协调,并从中总结经验和教训。     

电荷掺杂和杂原子掺杂聚硅烷的比较性理论研究

本文利用GAUSSIAN 03程序包中的密度泛函理论,在B3LYP/6-31G(d)水平下,对聚21硅烷、电荷掺杂的聚21硅烷以及杂原子(硼和磷)掺杂的聚21硅烷进行几何全优化,并对它们的几何结构和自旋密度进行了比较性理论研究.结果表明,电荷掺杂能使聚硅烷的Si—Si键长增长,其极子分布几乎遍及了聚21硅烷的整个链;而杂原子(B、P)的掺杂对聚硅烷的影响主要集中在与B、P原子相邻的Si原子上,极子分布仅局域在B、P原子附近的3~5个原子上.     

Philosophy of chemistry and the image of science

The philosophical analysis of chemistry has advanced at such a pace during the last dozen years that the existence of philosophy of chemistry as an autonomous discipline cannot be doubted any more. The present paper will attempt to analyse the experience of philosophy of chemistry at the, so to say, meta-level. Philosophers of chemistry have especially stressed that all sciences need not be similar to physics. They have tried to argue for chemistry as its own type of science and for a pluralistic understanding of science in general. However, when stressing the specific character of chemistry, philosophers do not always analyse the question ‘What is science?’ theoretically. It is obvious that a ‘monistic’ understanding of science should not be based simply on physics as the epitome of science, regarding it as a historical accident that physics has obtained this status. The author’s point is that the philosophical and methodological image of science should not be chosen arbitrarily; instead, it should be theoretically elaborated as an idealization (theoretical model) substantiated on the historical practice of science. It is argued that although physics has, in a sense, justifiably obtained the status of a paradigm of science, chemistry, which is not simply a physical science, but a discipline with a dual character, is also relevant for elaborating a theoretical model of science. The theoretical model of science is a good tool for examining various issues in philosophy of chemistry as well as in philosophy of science or science studies generally.     

Global Optimization in Any Minkowski Metric: A Permutation-Translation Simulated Annealing Algorithm for Multidimensional Scaling

It is well known that considering a non-Euclidean Minkowski metric in Multidimensional Scaling, either for the distance model or for the loss function, increases the computational problem of local minima considerably. In this paper, we propose an algorithm in which both the loss function and the composition rule can be considered in any Minkowski metric, using a multivariate randomly alternating Simulated Annealing procedure with permutation and translation phases. The algorithm has been implemented in Fortran and tested over classical and simulated data matrices with sizes up to 200 objects. A study has been carried out with some of the common loss functions to determine the most suitable values for the main parameters. The experimental results confirm the theoretical expectation that Simulated Annealing is a suitable strategy to deal by itself with the optimization problems in Multidimensional Scaling, in particular for City-Block, Euclidean and Infinity metrics.