ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE

Volume: 65 Number: 2 August 1, 2016
  • Temel Ermiş
  • Özcan Gelişgen
EN

ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE

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

References

  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.
  5. H. B. Çolako¼glu and R. Kaya, A Generalization of Some Well-Known Distances and Related Isometries, Math. Commun. Vol. 16 (2011), 21 - 35.
  6. H. B.Colakoglu, Concerning the alpha distance, Algebras Groups Geom. 8 (2011),1-14.
  7. 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.
  8. J. J. Mwemezi, Y. Haung, Optimal Facilitiy Location On Spherical Surfaces: Algorithm And Application, New York Science Journal, 4(7) (2011), 21-28.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Temel Ermiş This is me

Özcan Gelişgen This is me

Publication Date

August 1, 2016

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2016 Volume: 65 Number: 2

APA
Ermiş, T., & Gelişgen, Ö. (2016). ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(2), 37-46. https://doi.org/10.1501/Commua1_0000000757
AMA
1.Ermiş T, Gelişgen Ö. ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):37-46. doi:10.1501/Commua1_0000000757
Chicago
Ermiş, Temel, and Özcan Gelişgen. 2016. “ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 (2): 37-46. https://doi.org/10.1501/Commua1_0000000757.
EndNote
Ermiş T, Gelişgen Ö (August 1, 2016) ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 2 37–46.
IEEE
[1]T. Ermiş and Ö. Gelişgen, “ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 65, no. 2, pp. 37–46, Aug. 2016, doi: 10.1501/Commua1_0000000757.
ISNAD
Ermiş, Temel - Gelişgen, Özcan. “ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (August 1, 2016): 37-46. https://doi.org/10.1501/Commua1_0000000757.
JAMA
1.Ermiş T, Gelişgen Ö. ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:37–46.
MLA
Ermiş, Temel, and Özcan Gelişgen. “ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 65, no. 2, Aug. 2016, pp. 37-46, doi:10.1501/Commua1_0000000757.
Vancouver
1.Temel Ermiş, Özcan Gelişgen. ON AN EXTENSION OF THE POLAR TAXICAB DISTANCE IN SPACE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016 Aug. 1;65(2):37-46. doi:10.1501/Commua1_0000000757

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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