关于相关系间的同构映射

建立了相关系间的同构映射,给出了相关系间同构映射的一些等价条件,并通过具体的同构映射揭示出相关系的一些内在本质.     

B(X)上的可乘映射

给出B(X )上可乘映射的一个结构特征 ,在此基础上获得B(X)上自同构的若干刻画并回答了几个可乘性保持问题.     

一族OWA袋映射带有单位的若干充分条件

本文首先讨论了ＯＷＡ袋映射何时带有固定单位，给出了ＯＷＡ袋映射带有固定单位的充要条件，其次又给出了两类特殊的ＯＷＡ袋映射－ＯＣＷＡ袋映射和ＮＣＷＡ袋映射带有固定单位和自单位的若干充分条件。     

一个集值映射的不动点定理

得到了从度量空间X（不必是完备的）到X的非空有界子集族B（X）的集值映射的一些不动点,其结果推广了一些已有的结论。     

若干Banach空间及有界凸域上的凸映射

本文研究了一类Ｂａｎａｃｈ空间上凸映射的性质。找出了一类Ｂａｎａｃｈ空间上单位球上凸映射的特征，并利用这些结果研究了一类有界凸域上的所有凸映射．     

一类凸模糊映射的注记

本文讨论了一些凸模糊映射与拟凸模糊映射的性质及其在凸模糊优化的应用 .     

随机非线性单调映射

本文讨论随机非线性单调映射的基本性质,得到了关于强制型、扰动型及非强制型随机非线性单调映射的一些重要结果.本文所得结果,改进和推广了近期一些作者的工作.     

伪单调映射的拓扑度及应用

利用S+型映射的拓扑度,导出了伪单调映射紧扰动的拓扑度,并讨论了该拓扑度对算子值域的应用．     

关于赋范线性空间中增生算子方程的逼近问题

研究了赋范线性空间中强增生映射和一致增生映射的零点的最速下降法迭代逼近问题,修正了Chidume的一个定理,改进和推广了Chidume和周海云等近期的相应结果.     

关于2—调和映照的一个定理

本文研究了 Riemann 流形间2-调和映照的复合映照,获得了一个与调和映照类似的性质。     

Workloads and waiting times in single-server systems with multiple customer classes

One of the most fundamental properties that single-server multi-class service systems may possess is the property of work conservation. Under certain restrictions, the work conservation property gives rise to a conservation law for mean waiting times, i.e., a linear relation between the mean waiting times of the various classes of customers. This paper is devoted to single-server multi-class service systems in which work conservation is violated in the sense that the server's activities may be interrupted although work is still present. For a large class of such systems with interruptions, a decomposition of the amount of work into two independent components is obtained; one of these components is the amount of work in the corresponding systemwithout interruptions. The work decomposition gives rise to a (pseudo)conservation law for mean waiting times, just as work conservation did for the system without interruptions.     

一种确定项目工作团队合理规模的新思路

本主要研究项目工作团队合理规模确定问题，基于委托—代理理论，建立了项目工作团队管理激励与约束机制模型，探讨了项目工作团队规模的设计问题，给出了一种新的项目工作团队合理规模设置的有效方法。从激励与约束角度研究项目工作团队合理规模的确定具有创新性，丰富了项目工作团队规模设计的理论与方法。     

A static allocation model for the outsourcing of warranty repairs

There has been a strong recent trend among original equipment manufacturers toward the outsourcing of work relating to the repair of items under warranty. In the typical cases where a large manufacturer uses several vendors to perform such work, we develop and analyse models to support decisions concerning how the work should be distributed among them. We depart from previous work in arguing the importance of an approach to the modelling of goodwill costs which takes explicit account of the delays experienced by customers. Theoretical considerations and numerical work both lend strong support to the contention that simple greedy approaches to workload allocation work well.     

Collective work with resources: an essential dimension for teacher documentation

In this paper we study the collective dimensions of teachers’ work in their ordinary daily practice. We argue that teachers’ ordinary work comprises many collaborative aspects, and that the interactions with colleagues, often through resources, are crucial for teacher professional development. Using a theoretical framework based on teacher documentation work, we focused on interactions between teachers and resources to study two teachers’ work: one teacher in France and one teacher in Norway. For both teachers we identified collective dimensions in their work with resources. Contrasting these two cases enabled us to identify particular features, but also possible invariants, of teachers’ work with resources. Our results indicate that collective dimensions are always present in teachers’ work, but that true communities of practice, which could be considered as an achievement of collective teachers’ work, are scarce. We discuss the conditions for the emergence of such communities.     

转臂式离心机工作室内的瞬态温度求解与分析

考虑大型转臂式离心机圆柱形工作室各墙壁(顶板、底板和侧壁)的瞬态导热,建立各墙壁的瞬态温度控制方程,对控制方程进行Laplace变换并求解,得到了透过墙壁内表面的总热流量与工作室内空气温度的关系.同时,综合考虑离心机驱动系统输出功率与工作室内空气和固体部件吸热、墙壁系统的吸热和导热、出风口带出的热量,以及动能与进风口带入的热量和动能之差等供能与耗能之间的平衡关系,建立工作室内瞬态温度控制方程,导出了工作室内空气瞬态温度的Laplace变换像函数的解析表达式.然后,采用求解Laplace逆变换的展开定理,导出了工作室内空气瞬态温度随时间变化的级数型显式表达式.最后,以一台多用途离心机为例,进行了工作室内空气温度的理论计算,与以前只考虑墙壁稳态导热的理论计算相比,瞬态计算结果与实测结果更加接近.所建瞬态温度公式提高了工作室温度的预测精度,有助于提升大型转臂式离心机工作室温控设计的水平.     

Interactions with diagrams and the making of reasoned conjectures in geometry

Four potential modes of interaction with diagrams in geometry are introduced. These are used to discuss how interaction with diagrams has supported the customary work of ‘doing proofs’ in American geometry classes and what interaction with diagrams might support the work of building reasoned conjectures. The extent to which the latter kind of interaction may induce tensions on the work of a teacher as she manages students’ mathematical work is illustrated.     

LaSalle''''s Theorem for Stochastic Differential Equations

In this paper, we establish a the LaSalle's theorem for stochastic differential equation based on Li's work, and give a more general Lyapunov function which it is more easy to apply. Our work has partly generalized Mao's work.     

盖尔范德在整值整函数理论上的工作

本文基于原始文献,利用历史分析和比较的方法,首次研究了盖尔范德在整值整函数理论方面的工作及影响.他的工作奠定了该理论发展的重要方向.文章分析了其工作背景;研究了他的有关工作,揭示了其思想的演变过程;探讨了其工作的重要影响.     

Own-company stockholding and work effort preferences of an unconstrained executive

We develop a framework for analyzing an executive’s own-company stockholding and work effort preferences. The executive, characterized by risk aversion and work effectiveness parameters, invests his personal wealth without constraint in the financial market, including the stock of his own company whose value he can directly influence with work effort. The executive’s utility-maximizing personal investment and work effort strategy is derived in closed form, and a utility indifference rationale is applied to determine his required compensation. Being unconstrained by performance contracting, the executive’s work effort strategy establishes a base case for theoretical or empirical assessment of the benefits or otherwise of constraining executives with performance contracting.