Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space

Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space
Daraja:
Oliy ta`lim
Turi:
Maqola
Til:
Ingliz tilida
Yaratilgan vaqti:
2021-04-21 06:48:09
"Let E2 be the 2-dimensional Euclidean space, LSim(2) be the group of all linear simi-larities of E2 and LSim+(2) be the group of all orientation-preserving linear similarities of E2. The present paper is devoted to solutions of problems of global G-equivalence ofpaths and curves in E2 for the groups G =LSim(2), LSim+(2). Complete systems of global G-invariants of a path and a curve in E2 are obtained. Existence and uniquenesstheorems are given. Evident forms of a path and a curve with the given global invariants are obtained."

Дабавлено : 2021-04-21 06:48:09

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