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Global invariants of paths and curves for the group of all linear similarities in the two-dimensional Euclidean space
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    Daraja:
    Oliy ta‘lim
    Tur:
    Maqola
    Muallif:
    Хажиев Д.
    Yaratilgan vaqti:
    03.09.2023
    0
    "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."