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A Novel Analysis of the Smooth Curve with Constant Width Based on a Time Delay System.
- Source :
-
Mathematics (2227-7390) . 5/15/2021, Vol. 9 Issue 10, p1131-1131. 1p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 150525164
- Full Text :
- https://doi.org/10.3390/math9101131