Effect of Multiplicative Calculus on Special Ruled Surface Pairs

Year 2025, Volume: 18 Issue: 2, 437 - 447

Zehra Nur Koçak , Emel Karaca

Abstract

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.

Keywords

Multiplicative calculus , special partner surfaces , multiplicative Euclidean space

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