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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Some illustrative examples are also given.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we deal with a conjecture related to the images of ellipses (resp. circles) under similarities that are the special Möbius transformations.
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Temel Bulgular & Veri:We consider ellipses (resp. circles) corresponding to any norm function (except in the Euclidean case) on the complex plane and examine some conditions to confirm this conjecture.
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Sonuç & Katkı:Some illustrative examples are also given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Möbius transformation · ellipse · norm
Abstract
In this paper, we deal with a conjecture related to the images of ellipses (resp. circles) under similarities that are the special Möbius transformations. We consider ellipses (resp. circles) corresponding to any norm function (except in the Euclidean case) on the complex plane and examine some conditions to confirm this conjecture. Some illustrative examples are also given.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ÖZGÜR, N. Y. (2018). Ellipses and similarity transformations with norm functions. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3204–3210. https://ajindex.com/articles/227831