Effect of Multiplicative Calculus on Special Ruled Surface Pairs
International Electronic Journal of Geometry, cilt.18, sa.2, ss.437-447, 2025 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.36890/iejg.1696083
- Dergi Adı: International Electronic Journal of Geometry
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.437-447
- Anahtar Kelimeler: 11U10, 53A04, 53A05, Multiplicative calculus, multiplicative Euclidean space, special partner surfaces
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
This paper explores the application and advantages of multiplicative analysis in surface theory. Unlike additive methods, multiplicative analysis focuses on the interaction of variables through product-based relationships, offering a more accurate representation in contexts involving exponential growth, ratios, and scaling. One key advantage of multiplicative analysis is its ability to simplify complex problems by exploiting factorization and invariance properties, enabling more efficient problem-solving strategies. This study highlights both theoretical foundations and practical benefits of using multiplicative approaches in special ruled surface pairs for mathematical research. Hence, we define new special ruled surface pairs called mul-Bertrand, mul-involuteevolute and mul-Mannheim ruled surface pairs. Moreover, some illustrative examples are given to validate the results.