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Liu Qihou offered the definition of iterative sequence with error in metric space and proved the convergence of iterative sequence.

LiuQihou提出了度量空间中带有误差的迭代序列的定义,并研究了迭代序列的收敛性。

Promoting topological transitivity and chaos are investigated in a compact metric space.

研究紧致度量空间中推广意义下的传递性和混沌性。

Sixthly, spatio-temporal logic model combining space metric logic and temporal logic is investigated.

研究了结合度量空间和时态逻辑的时空推理模型。

In this paper,on the base of the property for the selection of set-valued mapping ,we introduce a relation of almost lower semicontinuous and continuous selection for metric projection in Banach space.

本文在集值映射选择的性质基础上,讨论了Banach空间下度量投影的几乎下半连续与连续选择的一个关系

The fuzzy topological structure and the crisp topological structure of a WF -fuzzy metric space are described.

此外,还证明了WF-模糊度量空间中的闭球套定理; 6。

The basic theory of finite deformation is also studied in this paper's appendix, and the metric tensor for stress, strain and their equations between different configurations are derived.

本文还在附录中简要系统介绍了前人给出的有限变形基本理论,针对板料成形建立了应力应变度量张量及其相应的转换关系。

A series of formulae of calculating physical base and space metric tensor for 3-dimensional non-Cartesian tensor are presented which can be used to obtain the mathematical model for describing geometry and mechanics of continua such as oil and gas in energy-deliverying.

文章提出了三维非笛卡儿张量的空间度量张量的一系列计算公式,可借以建立油气输送等复杂系统的动量或能量传递的物理问题在任意坐标系中的数学模型。

Here illustrate by examples on the method of choosing and determining physical base and space metric tensor in arbitrary curvilinear coordinate system, the results show clearly that this algorithm of matrix is correct, and show that the algorithm of matrix is really ...

并用示例说明在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法,所得结果与文献[1]和[2]完全吻合,表明这一方法是令人满意的。

This paper has presented the formulae of calculating physical base and space metric tensor for complicated system, these formulae are developed by using non-Cartesian tensor analysis and introducing physical base.

本文基于非笛卡儿张量的分析,并引入了物理基,提出了复杂系统的空间度量张量的一系列矩阵公式,据以求出任意曲线坐标系中的数学模型。

A method for choicing and determining physical base and space metric tensor in an arbitrary curvilinear (orthogonal and non-orthogonal) coordinate system is illustrated by examples.

通过示例说明,在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法,得到了与以往文献吻合的满意结果。

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