Dergiler / Ikonion Journal of Mathematics / 2020 / Volume: 2 Issue: 2

ON THE CIRCULAR INVERSION IN MAXIMUM PLANE

Zeynep Can(AKSARAY UNIVERSITY)
Sayfa
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Yayın Tarihi
2020-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, we illustrated figures related to inversions obtained in the maximum plane via Mathematica.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate general properties and basic concepts of circular inversions in the maximum plane.
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Temel Bulgular & Veri:We delve into cross-ratio and harmonic conjugates under maximum circular inversion.
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Sonuç & Katkı:Furthermore, we illustrated figures related to inversions obtained in the maximum plane via Mathematica.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:inversion · maximum metric · cross-ratio

Abstract

In this paper, we investigate general properties and basic concepts of circular inversions in the maximum plane. We delve into cross-ratio and harmonic conjugates under maximum circular inversion. Furthermore, we illustrated figures related to inversions obtained in the maximum plane via Mathematica.

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Bu Makaleye Atıf Yap

Can, Z., Yüca, G. (2020). ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. Ikonion Journal of Mathematics, Volume: 2 Issue: 2. https://ajindex.com/articles/1492817

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Kaynakça (6)

  1. Audin, M. (2003) Geometry, Springer-Verlag Berlin.
  2. Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane, Journal of Advanced Research in Pure Mathematics, Vol. 6, Issue 4, 33-39.
  3. Blair, D. E. (2000) Inversion Theory and Conformal Mapping, American Math. Society, 9, 1.
  4. Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19, 1-9.
  5. Salihova, S. (2006) On The Geometry of Maximum Metric, Ph.D. Thesis, Department of Math. Osmangazi University.
  6. Sezgin N. (2014) On Inversion In The Euclidean Geometry and Taxicab Geometry, Master of Science thesis, Osmangazi University.