关于轴承刚性理论的综合论述
A Unified Dissertation on Bearing Rigidity Theory
AI总结：
本文围绕轴承刚性理论展开，探讨了多元素系统在变形下保持单元间轴承的结构属性，提出了一个通用框架来概括主要定义和结果，并确定了保证多元素系统刚性性质的必要且充分条件。
摘要：
本文聚焦于轴承刚性理论，即研究多元素系统在受变形时保持单元间轴承的结构属性的分支。本文的原创贡献主要有两点。第一点是定义了一个通用框架，用于陈述主要定义和结果，然后通过评估最研究的度量空间对其进行具体化，从而全面概述了现有文献中关于轴承刚性理论的内容。第二点是确定了一个保证给定多元素系统刚性性质的必要且充分条件，该条件与系统的度量空间无关。
英文摘要：
This work focuses on the bearing rigidity theory, namely the branch of knowledge investigating the structural properties necessary for multi-element systems to preserve the inter-units bearings when exposed to deformations. The original contributions are twofold. The first one consists in the definition of a general framework for the statement of the principal definitions and results that are then particularized by evaluating the most studied metric spaces, providing a complete overview of the existing literature about the bearing rigidity theory. The second one rests on the determination of a necessary and sufficient condition guaranteeing the rigidity properties of a given multi-element system, independently of its metric space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
