metric tensor

metric tensor的基本解释

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[化] 度规张量

与metric tensor相关的网络例句 [注：此内容来源于网络，仅供参考]

Based on the definitions of metric tensor and curvature tensor, the full expressions of their changes are put forward with asymptotic analysis, where the metric tensor change expression coincides with Ciarlet's, and the curvature tensor change expression is described more accurately than Ciarlet's.

提出的度量张量的改变量与Ciarlet给出的一致，而曲率张量的改变量比Ciarlet给出的更精确。

In chapter 5,we introduce the De Morgan algebra of metric and investigate the pseudo-metric Uniformity and the pseudo-metric topology and the separation axioms in De Morganalgebra of metric.We establish the Baire category theorem and the Banach contraction theo-rem,the Edelstein contraction theorem and other fixed quasi-atom theorems in De Morganalgebra of metric.In final,we give a sufficient condition for the metrization of a De Morganalgebra of topology.

在第五章里，我们地德摩根代数中引进了伪度量，探讨了伪度量一致和伪度量拓扑以及德摩根度量代数的分离公理，得到了Baire范畴定理、Banach收缩定理、Edelstein收缩定理以及其它不动拟原子定理，最后给出一个德摩根拓扑代数可度量化的充分条件。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

与metric tensor相关的网络解释 [注：此内容来源于网络，仅供参考]

metric tensor：度规张量

这时不可能观测到宇宙的膨胀,从而使得认为宇宙是静态的就变得不可抗拒. 所以当Willem de Sitter于1917年提出替代爱因斯坦方程的替代方程时,他很小心地选择了度规张量(Metric Tensor)不随时间变化的坐标. 然而,这些坐标的物理意义是不明显的,

metric tensor：度量张量

爱因斯坦的广义相对论成功建立并推出没有稳定态宇宙. 通过度量张量(metric tensor)描述的宇宙不是膨胀就是收缩,爱因斯坦认为他自己解错了,...

metric tensor：基本张量

metric subspace 度量子空间 | metric tensor 基本张量 | metric topology 度量拓扑

metric tensor：计量张量

method of virtual work 虚功法 | metric tensor 计量张量 | micro manometer 微测压计

contravariant metric tensor：逆变度量张量

反变坐标 contravariant coordinate | 逆变度量张量 contravariant metric tensor | 逆变张量 contravariant tensor