中医五行学说思维模型研究

研究中医五行学说思维模型,根据五行系统的特点,结合线性系统控制理论,通过把五行矩阵对角化,得到五行系统可镇定的充要条件和状态观测器存在的充要条件,并给出具体的求解算法．     

聚类分析在中医阴阳学说研究中的应用

中医用阴阳表征人体的整体状态,将人体的状态分为八类:阴阳平衡、阳盛、阴盛、阳虚、阴虚、阳盛阴虚、阴盛阳虚、阴阳双虚,中医师看病首先用望、闻、问、切四诊考察人体的宏观体征,然后凭借经验判断人体的阴阳状态,这种凭经验所作出的判断有时缺乏客观性。 为了用现代科学方法验证中医的阴阳学说,探索中医现代化的道路,同时为了探讨处理定性指标的统计方法,开拓统计方法在中医领域中的应用,我们用多元分析中的聚类分析方法来验证中医的阴阳学说。为中医理论提供一些科学依据。 (一)诊断资料 我们收集了临床记录.的10.00个病例(样品)资料,每…     

中医方药量化研究中方剂“归经强度”层次分析法模型和应用

初步探讨中医方药归经量化研究中方剂的"归经强度"模型和应用.根据中药归经理论,运用(量化)层次分析法进行研究,以四君子汤为例,给出中医方药归经量化中方剂"归经权重"和"归经强度"的计算模型.方剂归经强度模型能较准确的计算方剂的归经强度,不但创新了量化层次分析法而且实现了中医方剂"归经强度"差异性量化分析和合理性应用.     

验证水果营养成分配方的寒热性

本文由试验得到的体温数据,分别用假设检验和时间序列分析方法,找到辨别寒热性的数学依据.从而验证水果营养成分配方的寒热性.为传统水果品种的改良提供理论基础.     

浅谈《数术记遗》中的五行算和九宫算

<正>最近无事,对《数术记遗》进行了反复阅读,并对李培业老师的《数术记遗解释与研究》进行了学习,有了新的理解和发现。尤其对于《数术记遗》中的五行算和九宫算,有了新的理解和探索。下面谈一谈心得。原文:"五行算,以生兼生,生变无穷。"注文:"五行之法,水玄生数一,火赤生数二,木青生数三,金白生数四,土黄生数五,今为五行算。色别九枚,以五行色数相配为算之位。假令九亿八千七百六十五万四千三百二十一者,则以白算配黄为九亿,以青算     

介绍一本好书《医学多变量统计分析与统计软件》

最近由北京医科大学出版社出版出版的《医学多变量统计分析与统计软件》一书 ,为我国著名的统计学家孙尚拱教授所著。著者早年于复旦大学数学系毕业 ,此后数十年如一日地专注于医学多变量统计的教学、研究与应用 ,是一位就实避虚、不善言词却成绩斐然的学者。此书可以说是他的代表作。著者在前言中说 ,“统计学是一门极具‘艺术性’和‘灵性’的学科 ,在多变量统计工作中更是如此”。他认为“中医是古代经验性的多变量分析的结果”,“解释中医理论的最有效的工具应是现代的多变量统计”。我们从书中列举的那些理论联系实际的例子可以体会到 …     

优势关系下不协调目标信息系统的部分一致约简

在基于优势关系下的不协调目标信息系统中引入了部分一致约简的概念, 并得到了部分一致约简的判定定理以及辨识矩阵, 建立了不协调目标信息系统的部分一致约简的具体方法, 同时通过实例验证了该方法的有效性, 从而为优势关系下信息系统的知识发现提供了理论基础.     

《实变函数论》中一个定理的初等证明——课程教学改革初探

利用有限覆盖定理给出了一个命题的初等证明,而《实变函数论》中的一个重要定理可作为该命题的一个直接推论.由此展现作为基础的实数完备性在实分析中的重要地位,也为《实变函数论》课程的部分内容的教学改革提供一种值得探讨的新思路.     

《中国科学:数学》投稿须知

《中国科学:数学》(中文版)和SCIENCE CHINA Mathematics(英文版)是中国科学院主管、中国科学院和国家自然科学基金委员会共同主办的数学类综合性学术刊物,主要报道基础数学、应用数学、计算数学、概率统计学等方面具有重要意义的研究成果,由《中国科学》杂志社出版,月刊.     

实施数学新课程需要关注的几个问题及其思考

《全日制义务教育数学课程标准 (实验稿 )》(以下简称《标准》)正式颁行已两年多了 ,依据《标准》编写的第一批初中数学实验教材已经全部编写完成 ,目前全国有几百个实验区、几百万中学生正在使用这批实验教材学习数学 .同时 ,新版本的实验教材也将陆续面世 ,进一步的实验将会在更大的范围里进行 .贯彻《标准》 ,实验新教材、推进素质教育是一项变革 ,在理论和实践层面上都会遇到不少新问题 .正视问题的存在 ,是使改革目标一步步得到落实的重要保障 .不断思考和解决这样的问题 ,是推进新课程必须面对的一项重要任务 .本文不揣浅陋 ,对实施新…     

与线性微分多项式有一个公共值的整函数

本文研究了与线性微分多项式有一个公共值的整函数.利用值分布和复震荡理论,获得了当整函数与其线性微分多项式有一个CM公共值时它们之间的关系,推广了已有的结果.     

Stili musicali guidati da generalizzazioni matematiche della tonalita'

This article is a study of the problem posed by the use of a theory of harmony by Composers. Such a doctrine has the chance to become a mathematical theory in most temperaments discovered in the history of music, except the traditional. Basic non ambiguous concepts give rise to an algorithmic language which contains classic notions of harmony as well as rules for a new kind of «atonal intervals». Resulting new styles of music can be performed with standard instruments not because of the traditional dodecaphonic temperament but in spite of it.     

巴氏空间中随机元的极限理论及其应用

本文综述了巴拿赫空间中随机元的极限理论及其应用的一些结果，主要内容为：极限理论的某些新结果；等周方法的优化技巧；巴氏空间几何的概率方法；在经验过程研究中的应用。重点是近十年来有关问题研究的一些进展。     

多维标度法在亲属关系中的应用

简单地介绍了多维标度方法的原理及理论,并介绍了加权多维标度方法的理论及原理,对亲属关系亲密的程度采用多维标度法进行了分析,展示了15种亲属关系可分为五大类,并由此得到在人们心中亲属的分类情况,根据这些分类来解释一些亲属间的关系,理解人际关系中的一些社会现象,帮助缓和彼此之间的一些矛盾.     

From vicious to virtuous circles: problem structuring for quantified decision making in operationalization of corporate social responsibility

There is no formalised approach for problem structuring and quantitative decision support to operationalise corporate social responsibility (CSR) implementation. In this paper, techniques for considering criteria relationships are outlined and a holistic, systematic framework combining a qualitative and quantitative method for practical CSR integration is provided. Cognitive mapping (CM) is applied to structure the problem picture, and the cause–effect relationships between decision elements. Soft CM methodology is employed to assess the cross-criteria interactions, at both an individual and a collective level. The interactions of criteria can have a significant impact upon CSR implementation. Such impacts can be direct or indirect through their close linkages to other criteria. The causal strategic map serves as an input to the analytic network process (ANP) to carry out the multi-criteria decision analysis. Then, CM and ANP are applied in a comparative analysis to verify whether the measures of criteria significance do correspond. The key criteria in networks are identified using centrality in CM and single limited priorities in ANP. This study demonstrates that using criteria without considering their interactions will result in shortcomings in the evaluation and assessment of CSR programmes. The holistic framework, combining CM and ANP proposed in this work, enhances the process of problem structuring and supports preference-based evaluation of decision alternatives. The results of our study yield that the mapping procedure has an influence on the criteria significance in networks. The correspondence between CM and ANP is stronger when cause relationships are rigidly interpreted. More unambiguous interpretations of causal relations can be achieved if methods are used jointly and common peaks of importance in both CM and ANP could potentially serve as indications of key decision elements.     

Mathematical modeling of processes of devising fibrous composite materials and thin-walled structural elements by forced winding

Conclusions With the aid of the method of averaging processes in regular media, on the assumption that the temperature field in the semiproduct of PM is homogeneous at all stages of the production of thin-walled articles of CM, we suggested averaged equations of equilibrium, and also constructive algorithms for calculating the effective moduli and defining relations of the material of the semiproduct of CM. On the basis of these equations and the boundary conditions corresponding to them, we showed that it is possible to determine the RTS in a finished product of CM, and also to predict the change of its shape after removal from the mandrel and cutting it up into separate elements. To determine the above-mentioned technological characteristics of thin-walled elements made of fibrous CM, it is necessary to know the physicomechanical characteristics of the fibers and of the PM before and after polymerization; the volume fraction of the reinforcing filler and of the PM during winding, and also the orientation of the reinforcement; the relative change of volume of the PM after heat treatment and cooling; the prestresses in the fibers in the process of winding. It should be noted that the obtained averaged equations make it possible to calculate only the components of the averaged RTS in products of CM. To determine the local stresses in PM and fibers at all stages of making the product, it would be necessary to investigate in detail the rheology of PM at different temperatures.Translated from Mekhanika Kompozitnykh Materialov, No. 3, pp. 513–527, May–June, 1990.     

单位圆内亚纯函数在角域内分担公共小函数的唯一性

本文证明了单位圆内两个允许的亚纯函数若在某角域内分担五个CM公共小函数或五个IM公共值,则它们必恒等.     

On the Normal Structure of NonCommutative Association Schemes of Rank 6

The concept of an association scheme is a far-reaching generalization of the notion of a group. Many group theoretic facts have found a natural generalization in scheme theory. One of these generalizations is the observation that, similar to groups, association schemes of finite order are commutative if they have at most five elements and not necessarily commutative if they have six elements. While there is (up to isomorphism) only one noncommutative group of order 6, there are infinitely many pairwise non-isomorphic noncommutative association schemes of finite order with six elements. (Each finite projective plane provides such a scheme, and non-isomorphic projective planes yield non-isomorphic schemes.) In this note, we investigate noncommutative schemes of finite order with six elements which have a symmetric normal closed subset with three elements. We take advantage of the classification of the finite simple groups.     

惯性定律的新证法

本文从实对称矩阵的角度 ,给出了惯性定律的一种新证法 .这种证法可使我们从已给的一个实二次型 f( x1 ,x2 ,… ,xn) =∑ni,j=1aijxixj 的矩阵 A=( aij) n× n的诸元素 ,来直接研究这个二次型的性质的这一体系更加完整 .同时 ,本文还大大地改进了雅可比方法 ,使雅可比的方法更加完美 ,应用更加广泛 .