ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE

Yıl 2016, Cilt: 65 Sayı: 2, 37 - 46, 01.08.2016

Temel Ermiş Özcan Gelişgen

https://doi.org/10.1501/Commua1_0000000757

Öz

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

Anahtar Kelimeler

Metric Geometry, distane geometry, metric, spherical coordinates, isometry group

Kaynakça

• A. Bayar, R. Kaya, On A Taxicab Distance On A Sphere, MJMS,17(1) (2005), 41-51.
• E. F. Krause, Taxicab Geometry, Addision-Wesley, Menlo Park, California (1975).
• G. Chen, Lines and Circles in Taxicab Geometry, Master Thesis, Department of Mathematics and Computer Science, University of Central Missouri, 1992.
• 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.
• 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.
• 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.
• S. Tian, Alpha Distance-A Generalization of Chinese Checker Distance and Taxicab Dis- tance, Missouri Journal of Mathematical Sciences, 17(1) (2005), 35-40.
• 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 : [e-mail] 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 : [e-mail]