Research Article
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Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension

Year 2024, Early Access, 1 - 15
https://doi.org/10.15672/hujms.1277665

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.

Supporting Institution

TUBITAK

Project Number

121C421

Thanks

Uğur Gözütok is supported by the grant 121C421, in the scope of 2218-National Postdoctoral Research Fellowship Program, from TUBITAK (The Scientific and Technological Research Council of Türkiye).

References

  • [1] J.G. Alcázar, U. Gözütok, H.A. Çoban, and C. Hermoso, Detecting affine equivalences between implicit planar algebraic curves, Acta Appl. Math. 182, 2, 2022.
Year 2024, Early Access, 1 - 15
https://doi.org/10.15672/hujms.1277665

Abstract

Project Number

121C421

References

  • [1] J.G. Alcázar, U. Gözütok, H.A. Çoban, and C. Hermoso, Detecting affine equivalences between implicit planar algebraic curves, Acta Appl. Math. 182, 2, 2022.
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Uğur Gözütok 0000-0002-6072-3134

Project Number 121C421
Early Pub Date August 15, 2023
Publication Date
Published in Issue Year 2024 Early Access

Cite

APA Gözütok, U. (2023). Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics1-15. https://doi.org/10.15672/hujms.1277665
AMA Gözütok U. Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. Published online August 1, 2023:1-15. doi:10.15672/hujms.1277665
Chicago Gözütok, Uğur. “Computing Affine Equivalences and Symmetries of Trigonometric Curves in Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics, August (August 2023), 1-15. https://doi.org/10.15672/hujms.1277665.
EndNote Gözütok U (August 1, 2023) Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics 1–15.
IEEE U. Gözütok, “Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension”, Hacettepe Journal of Mathematics and Statistics, pp. 1–15, August 2023, doi: 10.15672/hujms.1277665.
ISNAD Gözütok, Uğur. “Computing Affine Equivalences and Symmetries of Trigonometric Curves in Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics. August 2023. 1-15. https://doi.org/10.15672/hujms.1277665.
JAMA Gözütok U. Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. 2023;:1–15.
MLA Gözütok, Uğur. “Computing Affine Equivalences and Symmetries of Trigonometric Curves in Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics, 2023, pp. 1-15, doi:10.15672/hujms.1277665.
Vancouver Gözütok U. Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. 2023:1-15.