关于Max-代数上矩阵的广义逆

探讨了一类Max-代数上矩阵的广义逆,得到了Max-代数上矩阵正则的基本性质及判定方法.同时,引入矩阵空间分解的概念,并证明一个矩阵是正则的当且仅当它是可空间分解的.     

矩阵若尔当标准形的一个新证明

现行的不少高等代数教材中,关于"每个n级复数矩阵均与一个若尔当形矩阵相似"这一结论,大多利用λ-矩阵的性质或线性变换、线性空间等理论给出证明.本文利用矩阵的性质给出了一种新的证明.     

褶积型矩阵和复l2空间的性质

本文讨论了褶积型矩阵的性质,并用褶积型矩阵作工具,讨论了复l₂空间中纯相位序列的性质,解决了复l₂空间中的相容性问题。     

逻辑矩阵的特征向量及应用

特征值与特征向量描述了线性变换的基本性质.特征向量是线性变换的作用下保持方向不变的向量,特征值体现了特征向量在线性变换中的伸缩性.讨论了一类布尔矩阵在布尔空间中的特征值与特征向量问题,证明了逻辑矩阵只有1特征值,所有1特征值构成1特征子空间,并且1特征子空间由唯一的一组基本特征向量布尔生成.最后,将逻辑矩阵特征向量的相关结果用于研究布尔网络极限环个数等拓扑性质.     

算子矩阵的性质(gω)

设M_R=(T R O S)是定义在Banach空间X⊕Y上的2×2上三角算子矩阵,则T和S满足性质(gw)(或性质(gb))推不出M_R满足性质(gw)(或性质(gb)),即使R=0.文章主要利用局部谱理论的知识,研究了Banach空间上2×2上三角算子矩阵在什么情况下满足性质(gb)和性质(gw).     

整环上保持矩阵等价的映射

矩阵论是代数学的重要分支,而矩阵保持问题是矩阵论中的重要问题.交换环上的矩阵保持问题,主要研究保持交换环上矩阵的某种性质或关系的映射.在整环上的矩阵空间里,给出了映射保持矩阵等价的一个充分必要条件.     

矩阵及其多项式的若干问题研究

利用多项式理论、线性空间理论研究了矩阵及其多项式的一些性质.     

n维有限射影几何上(d,r)-析取矩阵的性质及其界

介绍了n维有限射影几何上子空间的性质,利用这些性质研究了非适应性群测模型(d,r)-析取矩阵,然后计算了(d,r)-析取矩阵的相关参数,给出了它的行界.     

体上线性映射的子空间的维数及其应用

本文给出体上左向量空间的线性映射的某些子空间的维数恒等式,并讨论了它在体上矩阵秩的理论上的应用,其中一个有趣的应用是,由体上矩阵秩的恒等式来刻划体上某些矩阵的特征性质。 以下设Ω是一个体。对Ω上左向量空间V映入Ω上左向量空间V′的线性映射σ:V V~σ,记σ的核空间为:     

一般欧氏空间上的广义规范算子与广义规范矩阵

研究了一般欧氏空间上的广义规范算子与广义规范矩阵的性质。     

Universal properties of bicategories of polynomials

We establish the universal properties of the bicategory of polynomials, considering both cartesian and general morphisms between these polynomials. A direct proof of these universal properties would be impractical due to the complicated coherence conditions arising from polynomial composition; however, in this paper we avoid most of these coherence conditions using the properties of generic bicategories.In addition, we give a new proof of the universal properties of the bicategory of spans, and also establish the universal properties of the bicategory of spans with invertible 2-cells; showing how these properties may be used to describe the universal properties of polynomials.     

A Deflationary Metaphysics of Morality

The metaphysical dispute between moral realists and antirealists is cast in terms of properties: the realist holds that moral properties exist, the antirealist denies this claim. There is a longstanding philosophical dispute over the nature of properties, and the obscurity of properties may make the realist/antirealist dispute even more obscure. In the spirit of deflationary theories of truth, we can turn to a deflationary theory of properties in order to clarify this issue. One might reasonably worry that such an account of properties would not be capable of properly characterizing disputes regarding the existence or nonexistence of genuine moral properties. In this paper, I will show that, within this framework, the traditional disputes over the existence of moral properties can be characterized in a far clearer fashion than is usually the case. A deflationary account of properties, along with an explanatory hierarchy of properties, makes the dispute in ontology clear.     

抽样设计偏差的大样本性质

偏差（Ｄｉｓｃｒｅｐａｎｃｙ）作为布点设计均匀性的一个重要度量准则,已被使用很长时间,但对它的性质还研究得很不够．该文从模平移的方面系统地研究了偏差的性质,给出了在超立方体中一个布点设计按整体、大格子、小格子各种模平移的偏差大样本性质,这些性质对于计算机试验引进有关的设计和抽样方法起着重要的作用．     

Prosperity properties of TU-games

An important open problem in the theory of TU-games is to determine whether a game has a stable core (Von Neumann-Morgenstern solution (1944)). This seems to be a rather difficult combinatorial problem. There are many sufficient conditions for core-stability. Convexity is probably the best known of these properties. Other properties implying stability of the core are subconvexity and largeness of the core (two properties introduced by Sharkey (1982)) and a property that we have baptized extendability and is introduced by Kikuta and Shapley (1986). These last three properties have a feature in common: if we start with an arbitrary TU-game and increase only the value of the grand coalition, these properties arise at some moment and are kept if we go on with increasing the value of the grand coalition. We call such properties prosperity properties. In this paper we investigate the relations between several prosperity properties and their relation with core-stability. By counter examples we show that all the prosperity properties we consider are different. Received: June 1998/Revised version: December 1998     

Junction trees of general graphs

In this paper, we study the maximal prime subgraphs and their corresponding structure for any undirected graph. We introduce the notion of junction trees and investigate their structural characteristics, including junction properties, induced-subtree properties, running-intersection properties and maximum-weight spanning tree properties. Furthermore, the characters of leaves and edges on junction trees are discussed.      

关于格的卡氏积的特征多项式和几何性

利用格L_i(i=1,2)的性质研究了它们的卡氏积L=L_1×L_2的性质,得到了L的秩函数、Mbius函数和特征多项式,并且由L_i的几何性证明了L的几何性.     

An application of the TODIM method to the multicriteria rental evaluation of residential properties

This article presents an evaluation study of residential properties carried out together with real estate agents in the city of Volta Redonda, Brazil. The study aimed to define a reference value for the rents of these properties using the TODIM method of Multicriteria Decision Aiding. By applying this method to the ordering of properties with different characteristics, a ranking of all the properties was obtained and, as a result of this, diverse ranges of rental values for the properties under analysis. The study was complemented by an analysis of the sensitivity of the numerical results obtained.     

Subinverses of fuzzy matrices

A matrix operation is examined for fuzzy matrices and interesting properties of fuzzy matrices are obtained using the operation. Particularly some properties concerning subinverses and regularity of fuzzy matrices are given and the largest subinverse is shown by the properties. The properties are closely related to inverses of fuzzy matrices and fuzzy equations. Moreover fuzzy preorders are examined using the matrix operation and basic properties are obtained. The results are considered to be useful for the theory of fuzzy matrices.     

二项式系数幂和序列在模p2下的几个性质

利用同余理论和多项式理论研究二项式系数幂和序列在模p2下的同余性质,得到了一些非平凡结果.为进一步研究二项式系数幂和序列的多项式递推公式提供有利的工具.     

Multiobjective Optimization of a Composite Cylindrical Shell with an Elastic Core with Account of Reliability

Multiobjective optimization of the structure and geometry of a laminated anisotropic composite shell with an elastic core under thermal action is considered. The thermoelastic properties of the laminated composite are determined from the known properties of the monolayer and the given values of the variable structural and geometric parameters. The properties to be optimized - the critical load and thermal stresses - depend on two variable parameters, the stochastic properties of the composite, and the temperature. In the space of the properties being optimized, the domain of allowable solutions and the property scatter ellipses for the optimum compromise project are found. The reliability of the project is determined with regard for the correlation between the critical and thermal stresses.