Publication detail

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

KUREŠ, M.

Original Title

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

English Title

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

Type

journal article - other

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

sliding vector; dual number; dual space; curves in dual space; motor; screw; curvature; torsion

Released

31.12.2019

Publisher

Elsevier

Pages from

396

Pages to

401

Pages count

6

URL

Full text in the Digital Library

Documents

BibTex


@article{BUT162360,
  author="Miroslav {Kureš}",
  title="A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus",
  annote="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.",
  address="Elsevier",
  chapter="162360",
  doi="10.1016/j.prostr.2020.01.119",
  howpublished="print",
  institution="Elsevier",
  number="4",
  volume="23",
  year="2019",
  month="december",
  pages="396--401",
  publisher="Elsevier",
  type="journal article - other"
}