Abstract
In this paper, we analyze the C∞ smooth curve of constant width using the characteristic equation of a time delay system. We prove that a closed convex curve must be a circle if it is still a smooth curve of constant width after taking any number of derivatives. Finally, the simulation results are presented for analyzing the influence of derivative orders on a smooth non-circular curve of constant width.
Funder
Research Foundation for Talents of Guizhou University
Science and Technology Program of Guizhou Province
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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