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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2016 / Cilt: 65 - Sayı: 2

ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE

Temel ERMİŞ
Özcan GELİŞGEN
Sayfa
37–46
Yayın Tarihi
2016-08-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this sense, we extend the polar taxicab distance function defined in [7] to three dimesional analytical space

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The aim of this paper is to provide an alternative distance function instead of Euclidean distance, which is very much used in navigation and spherical trigonometry will contribute to advancement of logistics and optimal facility location on spherical surfaces [8].
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Temel Bulgular & Veri:The aim of this paper is to provide an alternative distance function instead of Euclidean distance, which is very much used in navigation and spherical trigonometry will contribute to advancement of logistics and optimal facility location on spherical surfaces [8].
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Sonuç & Katkı:In this sense, we extend the polar taxicab distance function defined in [7] to three dimesional analytical space
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Metric Geometry · distane geometry · metric

Abstract

The aim of this paper is to provide an alternative distance function instead of Euclidean distance, which is very much used in navigation and spherical trigonometry will contribute to advancement of logistics and optimal facility location on spherical surfaces [8]. In this sense, we extend the polar taxicab distance function defined in [7] to three dimesional analytical space

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Bu Makaleye Atıf Yap

ERMİŞ, T., GELİŞGEN, Ö. (2016). ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 65 - Sayı: 2, 37–46. https://ajindex.com/articles/747299

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Kaynakça (8)

  1. A. Bayar, R. Kaya, On A Taxicab Distance On A Sphere, MJMS,17(1) (2005), 41-51.
  2. E. F. Krause, Taxicab Geometry, Addision-Wesley, Menlo Park, California (1975).
  3. G. Chen, Lines and Circles in Taxicab Geometry, Master Thesis, Department of Mathematics and Computer Science, University of Central Missouri, 1992.
  4. K. Menger, You Will Like Geometry, Guildbook of the Illinois Institute of Technology Geom- etry Exhibit, Museum of Science and Industry, Chicago, IL, 1952. H. B. Çolako¼glu and R. Kaya, A Generalization of Some Well-Known Distances and Related Isometries, Math. Commun. Vol. 16 (2011), 21 - 35. H. B.Colakoglu, Concerning the alpha distance, Algebras Groups Geom. 8 (2011),1-14.
  5. H. G. Park, K. R. Kim, I. S. Ko, B. H. Kim, On Polar Taxicab Geometry In A Plane, J. Appl. Math. & Informatics, 32 (2014), 783-790.
  6. J. J. Mwemezi, Y. Haung, Optimal Facilitiy Location On Spherical Surfaces: Algorithm And Application, New York Science Journal, 4(7) (2011), 21-28. Ö. Geli¸sgen, R. Kaya, Alpha(i) Distance in n-dimensional Space, Applied Sciences, Vol.10 (2006), 88-93. Ö. Geli¸sgen, R. Kaya, Generalization of Soc. Geom. Graph. 10 (2006), 33-35. distance to n dimensional space, KoG. Croat. Ö. Geli¸sgen, R. Kaya, On Alpha-Distance in Three Dimensional Space, Applied Sciences, (2006), 65-69. Ö. Geli¸sgen, R. Kaya, M. Özcan, Distance Formulae in Chinese Checker Space, IJPAM, (1) (2006), 35-44.
  7. S. Tian, Alpha Distance-A Generalization of Chinese Checker Distance and Taxicab Dis- tance, Missouri Journal of Mathematical Sciences, 17(1) (2005), 35-40.
  8. Z. Akça, R. Kaya, On the Distance Formulae In three Dimensional Taxicab Space, Hadronic Journal, 27 (2006), 521-532. Current address: Temel ERM ·I¸S:Eskisehir Osmangazi University, Faculty of Art and Sciences, Deparment of Mathematics and Computer Sciences, 26480 Eskisehir, TURKEY E-mail address: [email protected] Current address: Özcan GEL·I¸SGEN: Eskisehir Osmangazi University, Faculty of Art and Sciences, Deparment of Mathematics and Computer Sciences, 26480 Eskisehir, TURKEY E-mail address: [email protected]