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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU135571" target="_blank" >RIV/00216305:26210/19:PU135571 - isvavai.cz</a>

Výsledek na webu

<a href="https://authors.elsevier.com/sd/article/S2452-3216(20)30185-2" target="_blank" >https://authors.elsevier.com/sd/article/S2452-3216(20)30185-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.prostr.2020.01.119" target="_blank" >10.1016/j.prostr.2020.01.119</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Procedia Structural Integrity

ISSN

2452-3216

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

6

Strana od-do

396-401

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85094187034