ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE

Year 2016, Volume: 65 Issue: 2, 37 - 46, 01.08.2016

Temel Ermiş Özcan Gelişgen

https://doi.org/10.1501/Commua1_0000000757

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

Keywords

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

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• 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]