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By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件,在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性,给出了一个新的公共不动点定理,从而在很大程度上改进和推广了现有文献中的一些结果。

In this paper, we give a section theorem of Ky Fan type and its equivalent theorem in hyperconvex metric spaces, and as their applications we obtain some minimax theorems and a coincidence theorem.

赵云河 ,张惠丽文章给出了超凸度量空间中的一个Ky Fan型截口定理及其等价定理,作为它们的应用,得到了一些极大极小定理和一个重合定理。

In order to improve the capability of Hooke's universal joints, the effects of structural parameters on the contact pressure distribution are analyzed based on Lundberg's logarithmic equation and the numerical calculation of three-dimension elastic contact problems in finite length.

为改善万向节的性能,文中基于Lundberg对数凸型方程和三维有限长弹性接触问题的数值计算,分析了轴承结构参数对接触压力分布的影响,提出滚针凸度量设计时必须考虑滚针倒角半径和越程槽宽度的影响,并给出了相应的数值计算方法。

Using the quasihomogeneous properties of these vector fields and their induced metric, we get some results on A-B-P type estimate analogous to that of polarizable Carnot groups.

首先利用该向量场及其诱导的拟度量关于伸缩变换的拟齐性质,证明了与可极化Carnot群上非散度型方程相应的结果。

We obtain the asymptotic estimates for the Bergman kernels and Bergman metrics (3-d case) for a class of higher dimensional pseudoconvex domains of finite type.

对于一类高维有限型拟凸域,我们得到了Bergman核和三维时Bergman度量的渐进估计。

The notion of sample relative entropy , as a random measure of the deviation of a sequence of nonnegative continuous random sequence from independent random sequence with exponential distribution, is introduced.

利用样本相对熵作为一般非负连续型随机变量序列相对于服从指数分布的独立但不同分布随机变量序列偏差的一种随机性度量,运用鞅理论及分析方法,研究了一类随机变量序列加权和的用不等式表示的极限定理,即强偏差定

2The new cloud physical model is put forward the metric geometry.(3)The generalized cloud equations of cloud is derived on the generalized function and the Sobolev space on the Riemannian manifold.

提出了 大气模式中新一代云方案的动力学:(1)基于拓扑的云分类;(2)基于度量几何的云模型(3)利用黎曼流型上的广义函数和索伯列夫空间,系统建立了云之动力学方程组。

In this note, various definitions of lower semicontinuous set- valued mapping are extended to topological spaces without any metric topological and are compared.

文章的目的是要把各类下半连续型集值映射的定义推广到不带有任何度量的拓扑空间中并且作仔细的比较。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题,首次提出非可行点/染色体的主导准可行方向,准可行方向,及非可行点属于可行域的可行度等新概念,借助于模糊思想,提出了描述和度量非可行染色体的新方法;通过嵌入非可行染色体的信息于评价函数中,提出了三种新的评价非可行染色体的评价函数;把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中,提出了一种沿加权梯度方向变异的新型混合式遗传算法;第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源,建立了一类连续型模糊目标/资源约束非线性规划问题的模型FO/RNLP。

There are three platinum catalyst micro channels which have different width ,such as 1000 m , 400m and 40m. The platinum catalyst micro channel reactor is fabricated by MEMS technology. The reactor uses the exothermic reaction of hydrogen and oxygen on the platinum catalyst plate as the heat source and the platinum thin film resistance deposited on a glass chip by face micro machining process as catalyst and temperature sensor. The channel is bonded with a cover plate etched by bulk micromachining technology to become a mico- channel reactor.

实验主要以微机电加工技术制作白金触媒微管道反应系统,利用微机电面型加工技术将白金薄膜电阻制作於基材为玻璃的晶片上,以此为反应所需的触媒及温度量测元件,并用体型加工技术蚀刻出微流道的上盖板相结合成微管道反应系统,本研究以1000μm、400μm及40μm的白金触媒微管进行测试,并利用微管道管壁上触媒表面降低反应活化能的特性来维持反应,此微反应系统利用氢气与氧气在白金触媒平板上的放热反应作为能量的来源。

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