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Makale detayı · 2022

Complete Systems of Galileo Invariants of a Motion of Parametric Figure in the Three Dimensional Euclidean Space

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY

YÖKSİS OpenAlex Açık erişim · bronze SJR Q3 TR Index Atıf 0 Yüzdelik 20.4% FWCI 0.0
Yıl
2022
ISSN
1307-5624
Tür
article

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Özet

İngilizce (OpenAlex)

Let $E^{3}$ be the 3-dimensional Euclidean space and $S$ be a set with at least two elements. The notions of an $S$-parametric figure and the motion of an $S$-parametric figure in $E^{3}$ are defined. Complete systems of invariants of an $S$-parametric figure in $E^{3}$ for the orthogonal group $O(3,R)$ , the special orthogonal group $SO(3,R)$, Euclidean group $MO(3,R)$, the special Euclidean group $MSO(3,R)$ and Galileo groups $Gal_{1}(3,R)$ , $Gal^{+}_{1}(3,R)$ are obtained.

Konular

  • Mathematics and Applications
  • Algebraic and Geometric Analysis
  • History and Theory of Mathematics

Birincil konu Mathematics and Applications

Yazarlar

  1. İDRİS ÖREN KARADENİZ TEKNİK ÜNİVERSİTESİ
  2. DJAVVAT KHADJIEV