A plasticity principle of some generalized Gauss trees

Autor:	Anastasios N. Zachos
Rok vydání:	2014
Předmět:	Algebra Numerical Analysis Applied Mathematics Gauss Calculus Plasticity Analysis Mathematics
Zdroj:	Analysis. 34:339-352
ISSN:	2196-6753 0174-4747
DOI:	10.1515/anly-2012-1207
Popis:	We introduce a method of differentiation of the length of a variable linear segment with respect to three variable linear segments which generalizes the first variation formula in the three-dimensional Euclidean space. Applying this method, we derive a generalized Gauss tree for a heptagonal pyramid (closed octahedron) by placing two vertices with positive weights at the interior of the convex hull having degree five. Applying the plasticity principle of closed hexahedra, we obtain a plasticity principle of a generalized Gauss tree for a boundary heptagonal pyramid in the three-dimensional Euclidean space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::28e94ee903507a1cca0348cdaa68899d https://doi.org/10.1515/anly-2012-1207 Zobrazit plný text záznamu