Publication detail
A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus
KUREŠ, M.
English title
A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus
Type
journal article in Scopus
Language
en
Original abstract
Moving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.
English abstract
Moving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.
Keywords in English
sliding vector; dual number; dual space; curves in dual space; motor; screw; curvature; torsion
Released
31.12.2019
Publisher
Elsevier
ISSN
2452-3216
Volume
23
Number
4
Pages from–to
396–401
Pages count
6
BIBTEX
@article{BUT162360,
author="Miroslav {Kureš},
title="A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus",
year="2019",
volume="23",
number="4",
month="December",
pages="396--401",
publisher="Elsevier",
issn="2452-3216"
}