局部分析方法在可解群中的应用

局部分析方法是有限群理论最基本的方法,利用可解群的性质和有限群的基本定理,通过局部分析方法,研究了可解群和可解子群的一些性质.利用成分的性质及ThompsonA×B引理,得到了p-局部子群的相关结论.     

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.     

基于数据手套的逼真虚拟手的实现

在基于头盔、数据手套的虚拟现实系统中虚拟手的实现效果十分重要,传统的虚拟手模型将手掌和各手指分割为多个刚体,当虚拟手运动时在刚体连接处产生重叠或裂缝,严重影响了沉浸感。在此根据虚拟手的运动特点对其进行整体建模,并快捷地对数据手套采集的原始关节数据进行校正,在可编程图形硬件上利用顶点混合算法将校正后的数据作用于虚拟手模型来产生皮肤变形,在满足实时性的同时提供了逼真的视觉效果。最后还通过搭建实验系统验证了所述方法的可行性。     

浅谈铁路运输实践课的教学

通过对铁路车站行车工作细则业务的系统分析和对铁路运输生产和组织管理的理论研究表明:铁路运输实践课为铁路运输专业学生提供了理论联系实际的平台,对培养学生独立分析和解决铁路行车方案问题的能力有着重要的意义。     

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.     

我国国内旅游需求影响因素分析及规模预测

近20年来我国国内旅游业发展之所以形成高潮,一方面由于我国实行改革开放的结果,而另一方面更在于近年我国居民可支配收入和闲暇时间的增多.2003年上半年,中国旅游业遭受SARS的沉重打击,2003年下半年国内旅游业经历了迅速恢复期,2004年已经表现出很强的增长势头.就影响我国国内旅游业发展的主要因素进行分析,并对未来五年我国国内旅游发展规模进行预测.