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Journals / International Electronic Journal of Geometry / 2025 / Volume: 18 Issue: 2

Effect of Multiplicative Calculus on Special Ruled Surface Pairs

Zehra Nur Koçak(ANKARA HACI BAYRAM VELI UNIVERSITY)0009-0001-1631-2063
Emel Karaca(Ankara Hacı Bayram Veli Üniversitesi)0000-0003-0703-939X
Pages
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Publication Date
2025-10-19
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, some illustrative examples are given to validate the results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper explores the application and advantages of multiplicative analysis in surface theory.
📊
Key Findings & Data: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.
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Conclusion & Impact:Moreover, some illustrative examples are given to validate the results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multiplicative calculus · special partner surfaces · multiplicative Euclidean space

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.

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Cite This Article

Koçak, Z. N., Karaca, E. (2025). Effect of Multiplicative Calculus on Special Ruled Surface Pairs. International Electronic Journal of Geometry, Volume: 18 Issue: 2. https://ajindex.com/articles/1410927

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