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http://dx.doi.org/10.14317/jami.2018.069

ON GENERALIZED SUBWAY METRIC  

KIM, SEHUN (Seoul Science High School)
KIM, BYUNGJIN (Seoul Science High School)
KIM, JUNGON (Seoul Science High School)
KIM, HARAM (Seoul Science High School)
KIM, BYUNG HAK (Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.1_2, 2018 , pp. 69-79 More about this Journal
Abstract
The Euclid metric is well-known and there are many results on the space with that metric. But there are many other metrics which gives more practical and useful results in the plane. In this paper, we introduce new metric function in the plane, which is more useful in city with subway. Finally we generalize to the general metric space and introduce a new metric on ${\mathbb{R}}^n$.
Keywords
Generalized subway metric; new metrics on metric spaces;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 O,Gelisgen and R. Kaya, On ${\alpha}$-distance in three dimensional space, Applied Sciences 8 (2006), 65-69
2 O,Gelisgen and R. Kaya, Generalization of ${\alpha}$-distance to n-dimensional case, professional paper, accepted
3 C. O'Brien, Minimization via the Subway Metric, Honors thesis, Ithaca College, 2003
4 M.S. Kim, I.S. Ko and B.H. Kim, Isoperimetric inequality in ${\alpha}$ -plane, Journal of Applied Mathematics and Informatics 31 (2013), 79-86   DOI
5 E.F. Krause, Taxicab geometry, Addison-Wesley Publishing Company, Menlo Park, 1975
6 Y.J. Lee, C.H. Cho, I.S. Ko and B.H. Kim, On the characterization of the quadratic curves in the plane with subway metric, Proceeding of the 2014 International Math. Education Workshop, 471-474.
7 M. H. Mortad, Introductory Topology, World Scientific Publishing