Öz
Bu
makalede Lorentz-Minkowski düzleminde norm kullanılarak Robert ortogonalliğinin
(R-Ortogonalliği) temel özellikleri incelenmiştir.
Anahtar Kelimeler
Lorentz- Minkowski düzlemi Lorentz norm Ortogonal vektör R-Ortogonallik
Kaynakça
- Referans 1 Alonso, J., Martini, H., Wu, S. (2012). On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Aequationes Mathematicae 83: 153-189.Referans 2 Alonso, J., Benitez, C. (1988). Orthogonality in normed linear spaces: A survey. Part I: Main Properties, Extracta Math. 3 (1): 1-15.Referans 3 Diminnie, C. R. (1983). A new orthogonality relation for normed linear spaces. Mathematische Nachrichten, 114 (1): 197-203.Referans 4 James, R. C. (1945). Orthogonality in normed linear spaces. Duke Mathematical journal, 12 (2): 291-302.Referans 5 Tozak, H. (2010) Minkowski 4-uzayında eğriler ve hareketlerin geometrisi. Yüksek Lisans Tezi, Pamukkale Üniversitesi Fen Bilimleri Enstitüsü, Denizli.
Öz
Lorent-Minkowski
plane is a Pseudo-Euclidean plane. Studying on the inner product topics is
interesting because inner product in this plane is differentt than inner
product of Euclidean plane. Orthogonality is one of these topics. There are
variety of studies on orthogonality and also there are many orthogonality defined
in normed space such as Roberts orthogonality, Birkhoff orthogonality and Isosceles
orthogonality. Simplification, homogeneity, symmetry and additivity are basic properties
of these orthogonalities. In this paper, these properties belong to Roberts orthogonality
in Lorentz-Minkowski plane are investigated.
Anahtar Kelimeler
Lorentz- Minkowski plane Lorentz norm Orthogonal vector R-Orthogonality
Kaynakça
- Referans 1 Alonso, J., Martini, H., Wu, S. (2012). On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Aequationes Mathematicae 83: 153-189.Referans 2 Alonso, J., Benitez, C. (1988). Orthogonality in normed linear spaces: A survey. Part I: Main Properties, Extracta Math. 3 (1): 1-15.Referans 3 Diminnie, C. R. (1983). A new orthogonality relation for normed linear spaces. Mathematische Nachrichten, 114 (1): 197-203.Referans 4 James, R. C. (1945). Orthogonality in normed linear spaces. Duke Mathematical journal, 12 (2): 291-302.Referans 5 Tozak, H. (2010) Minkowski 4-uzayında eğriler ve hareketlerin geometrisi. Yüksek Lisans Tezi, Pamukkale Üniversitesi Fen Bilimleri Enstitüsü, Denizli.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Konular | Mühendislik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 17 Eylül 2019 |
| Gönderilme Tarihi | 10 Mayıs 2019 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 19 Sayı: 2 |
