Discrete torsion and its application for a generalized van der Waerden’s theorem

Autor:	Tatsuo Konno, David E. Blair
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	Pure mathematics Torsion point General Mathematics Mathematical analysis 52C30 Computer Science::Computational Geometry 53A04 Planar polygonal line Discrete curvature Polygon discrete torsion 51M20 Torsion (algebra) Van der Waerden's theorem 51M04 Polygonal line Mathematics
Zdroj:	Proc. Japan Acad. Ser. A Math. Sci. 87, no. 10 (2011), 209-214
Popis:	In this article, we study discrete curvature and torsion for spatial polygonal lines of unit sides. We express geometric conditions on polygons by using inner products of oriented sides. As a application, we prove a generalization of van der Waerden’s theorem. The theorem given in this paper and its proof clarify how the conditions on the sides affect the polygon being planar from the discrete torsion point of view.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3467bae8f73f2ea0e8e5b8d20fcadb83 http://projecteuclid.org/euclid.pja/1322748852 Zobrazit plný text záznamu