TY  - JOUR
T1  - Effect of Multiplicative Calculus on Special Ruled Surface Pairs
AU  - Karaca, Emel
AU  - Koçak, Zehra Nur
PY  - 2025
DA  - October
Y2  - 2025
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 437
EP  - 447
VL  - 18
IS  - 2
LA  - en
AB  - 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-involute-evolute and mul-Mannheim ruled surface pairs. Moreover, some illustrative examples are given to validate the results.
KW  - Multiplicative calculus
KW  - special partner surfaces
KW  - multiplicative Euclidean space
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UR  - https://dergipark.org.tr/en/pub/iejg/issue//1696083
L1  - https://dergipark.org.tr/en/download/article-file/4855541
ER  -