The Generalized Pascal Triangle and the Matrix Variate Jensen-Logistic Distribution

This article defines the so called Generalized Matrix Variate Jensen-Logistic distribution. The relevant applications of this class of distributions in Configuration Shape Theory consist of a more efficient computation, supported by the corresponding inference. This demands the solution of two important problems: (1) the development of analytical and efficient formulae for their k-th derivatives and (2) the use of the derivatives to transform the configuration density into a polynomial density under some special matrix Kummer relation, indexed in this case by the Jensen-Logistic kernel. In this article, we solve these problems by deriving a simple formula for the k-th derivative of the density function, avoiding the usual partition theory framework and using a generalization of Pascal triangles. Then we apply the results by obtaining the associated Jensen-Logistic Kummer relations and the configuration polynomial density in the setting of Statistical Shape Theory.     

基于高校知识三角的产学研协同创新实证研究——自组织视角

产学研协同创新体现了系统集成的思想,本文以协同学为基础,从自组织理论视角分析了高校创新能力在产学研协同创新过程中的动态演化规律。研究表明:复杂性科学可以有效地解决公共管理问题的不确定性,本文以具有自组织特征的"B-Z"反应模型为基础,建立了高校知识生产能力、知识传播能力和知识转移能力构成的Logistic模型,通过稳定性分析与仿真模拟,讨论了高校三个能力子系统在产学研协同创新过程中的演化规律,并进一步确定了主导能力要素的序参量模型,并且对我国31所高校在产学研协同创新过程中的演化规律进行了验证性实证分析。本文的研究为我国研究型大学通过调整内部能力结构促进产学研协同创新提供了定量的分析视角与科学的政策讨论依据。     

一种基于冗余小波变换的DT网格运动估计和运动补偿方法

网格划分和网格顶点的运动估计是基于不规则网格的视频压缩技术的关键。为了进一步提高网格运动估计和运动补偿的效果,在综合比较现有冗余小波变换域运动估计方法和适用规则网格的EMRMC算法的基础上,提出了一种新的基于不规则网格的运动估计和运动补偿算法,即在冗余小波变换域提取特征点和运动潜在区,网格顶点的运动估计采用结合运动潜在区的在时域进行块匹配的运动估计和运动补偿方法,而运动补偿则通过三角形仿射变换完成。同时还给出了冗余小波变换域提取运动潜在区的计算模板。理论分析和实验结果表明,该算法在补偿效果方面较前两种方法得到了改进。     

The Epistemological Significance of the Theory of Social Representations

The theory of social representations must be understood in terms of its proper epistemology so that it can accomplish its full potential in social sciences. This is often difficult to achieve because researchers comprehend it in terms of concepts that are part of static and individualistic Newtonian epistemology rather than in terms of dynamic and relational Einsteinian epistemology. This article considers three signposts that Moscovici identifies and analyses in the theory of relativity, namely the relation between epistemology and science, theory and method, and the argument against the explanation of effects by their causes. The following question is posed: are these signposts also characteristic of the theory of social representations? This question is examined focusing on interactional epistemology, theory and method and the diversity of natural thinking and communication. Moscovici's Psychoanalysis shows that natural thinking appears in a plurality of modes according to the situation in which it takes place and according to social groups towards which it is directed. Natural thinking is controversial and communication‐centred. Different professionals, groups and lay people use different kinds of speaking and different communicative genres when they try to resolve “the same” problem. The article suggests that bringing together dialogicality, dialogical linguistics and the theory of social representations may open up new possibilities for theoretical developments in social psychology.     

杂合灰色聚类与变精度粗糙模糊集的概率决策方法及应用

在基于粗糙集理论或扩展粗糙集理论的不确定性决策中,仅由数据集无法获得决策表,同时由于决策属性呈现模糊性,以致于难以获取概率决策规则。针对这一类决策问题,基于灰色定权聚类与优势粗糙集变精度方法,本文构建了一种的杂合决策方法。该方法首先利用中心点三角白化权函数的灰色定权聚类方法将包含不同量纲指标的知识表示系统生成多属性决策表,而后运用变精度粗糙模糊集进行决策分析,生成概率决策规则,最后以区域关键技术的选择为例,表明该模型的可行性与实用性。     

关于Evans问题

根据Ｅｖａｎｓ提出的：试找出每一个整数边的三角形，其底边除尽它的高，给出Ｅｖａｎｓ问题的解答。     

关于三角形内角和定理证明的教法反思

新课程标准的出现，意味着教法坐标体系或者教学深层价值目标的建立．但是在教材与标准之间有如一片广阔的创造地带，它提供给教师前所未有的展示教学智慧的空间，而在创新教法的构想和实施之前，需要对传统教法、新课程标准、教材等有清醒的认识．通过对三角形内角和定理证明教法的剖析，提出了有关新的教学智慧的思考和教学构想．     

赵爽的《勾股园方图》研究

本文讨论了赵爽《勾股园方图》中的图形,提出了新的设想,用此设想验证了全部命题,并且对《中国数学史》中的两点解释也提出了不同的看法。     

漫谈花鸟画创作

本文探讨花鸟画创作技法的教学。从花鸟画布局构图、用笔、用墨、着色等四个方面研究     

对马克思货币理论的思考

商品第一相对价值表现和商品的第一形态变化之间、商品第二相对价值表现和商品的第二形态变化之间,分别具有对应关系.这是在"货币理论带"或"货币理论三边形"的基础上,通过把价值方程式和商品的总形态变化公式的有关顶端项联系起来进行分析之后得出的逻辑的结论.理解和把握上述两种性质不同的价值表现和两种相反的形态变化之间分别具有的对应关系,对于从整体上理解和把握马克思的货币理论,具有重要意义.