经典力学中,位形空间(或译组态空间)是一个物理系统可能处于的所有可能状态的空间,可以有外部约束。一个典型系统的位形空间具有流形的结构;因此,它也称为位形流形。
在黎曼位形空间中研究了约束多体系统的动力学问题。
The dynamic problem of constrained multibody systems in Riemannian configuration space is researched.
波函数的模平方正比于体系处在其位形空间各个点的几率密度。
The square modulus of the wave function is proportional to the probability density of finding the system at each point in the configuration space.
基于位形空间的拓扑几何性质提出一种坐标无关的几何分类方法。
Based on the topological and geometric properties of configuration Spaces, this dissertation proposes a fine classification of singularities of parallel robots, which is coordinate-independent.
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