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Computing affine equivalences and symmetries of trigonometric curves in arbitrary dimension

Yıl 2024, Erken Görünüm, 1 - 15

Uğur Gözütok

https://doi.org/10.15672/hujms.1277665

Öz

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.

Anahtar Kelimeler

Affine equivalence trigonometric curve rational curve

Destekleyen Kurum

TUBITAK

Proje Numarası

121C421

Teşekkür

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).

Kaynakça

  • [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.

Yıl 2024, Erken Görünüm, 1 - 15

Uğur Gözütok

https://doi.org/10.15672/hujms.1277665

Öz

Proje Numarası

121C421

Kaynakça

  • [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.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Uğur Gözütok 0000-0002-6072-3134

Proje Numarası 121C421
Erken Görünüm Tarihi 15 Ağustos 2023
Yayımlanma Tarihi
Yayımlandığı Sayı Yıl 2024 Erken Görünüm

Kaynak Göster

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 01 Ağustos 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, Ağustos (Ağustos 2023), 1-15. https://doi.org/10.15672/hujms.1277665.
EndNote Gözütok U (01 Ağustos 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, ss. 1–15, Ağustos 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. Ağustos 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, ss. 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.

https://dergipark.org.tr/en/pub/hujms