Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Plný text v Digitální knihovně

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 in Web of Science"
}