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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Some illustrative examples are also given.
📌 3 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:Some illustrative examples are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.
Keywords
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Cite This Article
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