2020
DOI: 10.7240/jeps.629843
|View full text |Cite
|
Sign up to set email alerts
|

The generators of the field R(x1,x2,…,xk) S(3) for k- vectors given in 𝑅 3

Abstract: Özk-bilinmeyenli reel kaysayılı tüm G-invaryant rasyonel fonksiyonların kümesi (x 1 ,x 2 ,…,x k ) ile gösterilir. Üç boyutlu ℝ 3 Öklid uzayında benzerlik dönüşümleri grubu G = S(3) olmak üzere, bu çalışmada ℝ 3 de verilen ve k vektörden oluşan = { 1 , 2 , … , } kümesinin rasyonel S(3)-invaryantlarını tam olarak belirleyebilmek için G grubuna göre invaryant rasyonel fonksiyonlar cismi olan R(x1,x2,…,xk) G cisminin üreteç kümesi ifade edilmiştir. Böylece A kümesinin herhangi bir S(3) invaryantı bu üreteç kümenin… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2020
2020
2020
2020

Publication Types

Select...
1

Relationship

1
0

Authors

Journals

citations
Cited by 1 publication
(2 citation statements)
references
References 13 publications
0
2
0
Order By: Relevance
“…Then The vectors 1 , 2 ∈ are called G-equivalent vectors if there exist any transformation g G such that 2 = 1 satisfies. The G-equivalent vectors 1 , 2 ∈ is denoted as 1 ≈ 2 [23]. xR …”
Section: G-invariant Functionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Then The vectors 1 , 2 ∈ are called G-equivalent vectors if there exist any transformation g G such that 2 = 1 satisfies. The G-equivalent vectors 1 , 2 ∈ is denoted as 1 ≈ 2 [23]. xR …”
Section: G-invariant Functionsmentioning
confidence: 99%
“…Khadjiev and R. Aripov generalized this invariants to all Euclidean motions in [9,10]. Recently Sagiroglu [11][12][13], Oren [14][15][16]21] Peksen [13,16], Incesu and Gursoy [17][18][19][20][21][22][23] are some contributors in this area. The best examples of points systems are Bézier curves and Bézier surfaces.…”
Section: Introductionmentioning
confidence: 99%