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Dergiler / 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
Sayfa
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Yayın Tarihi
2024-06-27
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:The algorithm benefits from the power of invariance and polynomial gcd and factoring without solving any system of equations.
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Sonuç & Katkı:The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (27)

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