Definition and Construction of New Types of Kinematic Spaces with Assistance of Artificial Intelligence

P. Pankov; A. Zhoraev

doi:10.58649/a37ery88

Authors

P. Pankov Institute of Mathematics of NAS of KR, Bishkek, Kyrgyz Republic Author
A. Zhoraev Kyrgyz-Uzbek International University named after B. Sydykov, Osh, Kyrgyz Republic Author

DOI:

https://doi.org/10.58649/a37ery88

Keywords:

kinematic space, artificial intelligence, axiomatization, controlled motion, motion of solids, computer implementation

Abstract

The concept of "kinematic space" is interpreted as intended for computer implementation; the distance between two screen images is equal to the minimum transition time between them within the space. A survey of developing this idea and other results within the frames of "digital topology" since 1960-s is presented. Controlled transformations (controlled motion of points) are considered too. Basing on an example of controlled rotation in 4D-Euclidean space with the aim to make a mirror reflection of a 3D-object using continuous motion, the authors proposed controlled motion of stretched solids. This paper is devoted to distinguish novelty of such definition with assistance of artificial intelligence and to arrange such spaces in the theory of categories.

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