Describing the symmetry of one-dimensional figures by power sums of point coordinates

Autor:	V. S. Levchenkov, D. V. Levchenkov
Rok vydání:	2000
Předmět:	Combinatorics Computational Mathematics Unit mass Log-polar coordinates Order (group theory) Point (geometry) Symmetry (geometry) Power (physics) Mathematics
Zdroj:	Computational Mathematics and Modeling. 11:312-320
ISSN:	1573-837X 1046-283X
DOI:	10.1007/bf02361137
Popis:	The article examines the problem of describing the symmetry of a one-dimensional figure by power sums of the coordinates of its points. In case ofn points of unit mass, the figure symmetry requires [(n+1)/2] values of odd power sums; in case of massive points,n values are required in general. A one-to-one correspondence is established between the coordinates ofn points of the figure and the values of power sums to order (2n−1) inclusive.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::55f184f7a6e6238e4b20c2ce5b699787 https://doi.org/10.1007/bf02361137 Zobrazit plný text záznamu Full text from SpringerLink