On the Plan Geometry with Generalized Absolute Value Metric


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Bayar A., Ekmekci S., Akca Z.

MATHEMATICAL PROBLEMS IN ENGINEERING, vol.2008, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2008
  • Publication Date: 2008
  • Doi Number: 10.1155/2008/673275
  • Journal Name: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Journal Indexes: Science Citation Index Expanded, Scopus

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. Copyright (C) 2008 A. Bayar et al.