On a Method Detecting Similarities Between Two Implicit Plane Algebraic Curves

Çoban H. A.

8th International Conference on Mathematics "An Istanbul Meeting for World Mathematicians", İstanbul, Türkiye, 9 - 11 Temmuz 2024, cilt.1, ss.192

  • Yayın Türü: Bildiri / Özet Bildiri
  • Cilt numarası: 1
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.192
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This study introduces a new method to determine similarities between two implicit plane

algebraic curves using invariant functions defined on complex representations. The method enables the

determination of all possible similarities between the input curves if they are similar. The computational

steps are converted into an algorithm and then the algorithm is implemented using MapleTM (2021).

The effectiveness of the method is demonstrated by various tests.