结的知识:一个跨学科的文献综述

IF 1.6 4区 心理学 Q3 PSYCHOLOGY, EXPERIMENTAL
P. Santos, Pedro Cabalar, Roberto Casati
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引用次数: 3

摘要

在3D世界中,结可以在各种情况下被发现和使用,比如藤蔓、DNA、聚合物链、电线、登山、航海,以及当绳子或其他柔性物体参与施加力和固定物体时。对结作为拓扑实体的研究,不仅对纯数学,而且对统计力学、量子物理、遗传学和化学都有很大的影响。然而,打结行为所涉及的认知(或算法)方面在很大程度上是一个未知的领域。本文从拓扑、物理、认知和计算(包括机器人)的角度综述了与结研究相关的文献,旨在弥合结理论的纯数学工作与宏观物理结之间的差距,并着眼于应用和建模。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The knowledge of knots: an interdisciplinary literature review
ABSTRACT Knots can be found and used in a variety of situations in the 3D world, such as in vines, in the DNA, polymer chains, electrical wires, in mountaineering, seamanship and when ropes or other flexible objects are involved for exerting forces and holding objects in place. Research on knots as topological entities has contributed with a number of findings, not only of interest to pure mathematics, but also to statistical mechanics, quantum physics, genetics, and chemistry. Yet, the cognitive (or algorithmic) aspects involved in the act of tying a knot are a largely uncharted territory. This paper presents a review of the literature related to the investigation of knots from the topological, physical, cognitive and computational (including robotics) standpoints, aiming at bridging the gap between pure mathematical work on knot theory and macroscopic physical knots, with an eye to applications and modeling.
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来源期刊
Spatial Cognition and Computation
Spatial Cognition and Computation PSYCHOLOGY, EXPERIMENTAL-
CiteScore
4.40
自引率
5.30%
发文量
10
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