查询词典 metric space

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

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。

By the research of metric tensor and Riemann tensor on Riemann manifold, we getthe inherent curvature of configuration space belonging to parallel mechanism.

通过对度量张量和Riemann张量的研究，得出并联机构运动可达子空间的内在"弯曲"性质，指出使用相对坐标系和广义坐标是研究并联机构运动学和动力学问题的必然选择。

Space ; Cartesian coordinates ; non-Cartesian coordinates ; metric tensor ; natural base ; physicalbase ; helical ; parabolic cylindrical

空间；笛卡儿坐标系；非笛卡儿坐标系；度量张量；自然基；物理基；螺旋线；抛物柱面

Complicated system ; space metric tensor ; natural base ; physical base ; non-Cartesian tensor ; Cartesian tensor ; helical-Cartesian coordinate system ; parabolic cylindrical coordinate system

复杂系统；空间度量张量；自然基物理基；笛卡儿张量；非笛卡儿；张量；螺旋线——笛卡儿坐标系；抛物柱面坐标系

If the production of the two particles alters the topology and metric of the space, producing a lengthening wormhole between them as they separate, for instance, then the effects from one to the other may be quite local.

如果两个粒子的生成使空间的拓扑与量度发生了改变的话，例如，若两个粒子分离时在二者之间形成了一个不断伸长的虫洞的话，那么（在这个被重新量度了的空间中看来）这两个粒子之间的作用就有可能是完全局域性的了。

With regard to the Einstein-Podolsky-Rosen paradox and Bell's inequality, when it is said that the correlation between the separated particles violates locality, it is assumed that the topology and metric of the space have stayed fixed.

就爱波罗悖论（Einstein-Podolsky-Rosen Paradox）和贝尔不等式而言，当说分离粒子之间的关联违反了局域性时，它假定了空间的拓扑与量度是不变的。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。