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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 3

Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension

Uğur Gözütok(YILDIZ TECHNICAL UNIVERSITY)0000-0002-6072-3134
Pages
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Publication Date
2024-06-27
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AI Summary & Key Takeaways

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

The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We present a new and efficient algorithm to compute affine equivalences and symmetries between two trigonometric curves in an arbitrary dimension.
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Key Findings & Data:The algorithm benefits from the power of invariance and polynomial gcd and factoring without solving any system of equations.
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Conclusion & Impact:The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:affine equivalence · trigonometric curve · rational curve

Abstract

We present a new and efficient algorithm to compute affine equivalences and symmetries between two trigonometric curves in an arbitrary dimension. The algorithm benefits from the power of invariance and polynomial gcd and factoring without solving any system of equations. The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.

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Cite This Article

Gözütok, U. (2024). Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 3. https://doi.org/10.15672/hujms.1277665

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