Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 673275, 8 pages
doi:10.1155/2008/673275
Research Article
On the Plane Geometry with Generalized Absolute Value Metric
Department of Mathematics, Eskişehir Osmangazi University, 26480 Eskişehir, Turkey
Received 7 March 2008; Revised 5 June 2008; Accepted 1 July 2008
Academic Editor: Mehrdad Massoudi
Copyright © 2008 A. Bayar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Metric spaces are among the most important widely studied topics
in mathematics. In recent years, Mathematicians began to investigate using other metrics
different from Euclidean metric. These metrics also find their place computer age in addition to their
importance in geometry. In this paper, we consider the plane geometry with the generalized absolute
value metric and define trigonometric functions and norm and then give a plane tiling example for engineers
underlying Schwarz's inequality in this plane.