Combinatorial Optimization Systems Theory Prospected from Rotational Symmetry

V. Riznyk
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Abstract

Combinatorial optimization systems theory prospected from rotational symmetry involves techniques for improving the quality indices of engineering devices or systems with non-uniform structure (e.g., controllable cyber-physical objects) concerning transformation swiftness, position accuracy, and resolution, using designs based on extraordinary geometric properties and structural excellence of combinatorial conformations, namely the concept of Ideal Ring Bundles. Design techniques based on the underlying combinatorial theory provide configure one- and multidimensional systems with smaller amounts of elements than at present, while maintaining the other substantial operating characteristics of the systems.
从旋转对称性展望组合优化系统理论
从旋转对称性出发的组合优化系统理论涉及利用基于组合构象的非凡几何特性和卓越结构(即理想环束概念)的设计,提高具有非均匀结构的工程设备或系统(如可控网络物理对象)在转换速度、位置精度和分辨率方面的质量指标的技术。以基本组合理论为基础的设计技术可提供配置一维和多维系统,其元素数量比目前更少,同时还能保持系统的其他重要运行特性。
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