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On the Plane Geometry with Generalized Absolute Value Metric
Author(s) -
A. Bayar,
S. Ekmekçi,
Ziya AKÇA
Publication year - 2008
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2008/673275
Subject(s) - mathematics , trigonometry , metric (unit) , euclidean geometry , plane (geometry) , norm (philosophy) , non euclidean geometry , trigonometric functions , geometry , metric space , mathematical analysis , engineering , operations management , political science , law
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

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