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Journals / Konuralp Journal of Mathematics / 2018 / Cilt: 6 - Sayı: 1

A Generalization of The Taxicab Metric And Related Isometries

Harun Barış Çolakoğlu
Pages
158–162
Publication Date
2018-04-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we give some properties of the \textit{m}-generalized taxicab metric, and determine Euclidean isometries that preserve the \textit{m}-generalized taxicab metric.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we define a family of distance functions in the real plane, \textit{m}-generalized taxicab distance function, which includes the generalized taxicab distance and so the taxicab distance functions as special cases, and we show that the \textit{m}-generalized taxicab distance function determines a metric.
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Key Findings & Data:In this paper, we define a family of distance functions in the real plane, \textit{m}-generalized taxicab distance function, which includes the generalized taxicab distance and so the taxicab distance functions as special cases, and we show that the \textit{m}-generalized taxicab distance function determines a metric.
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Conclusion & Impact:Then we give some properties of the \textit{m}-generalized taxicab metric, and determine Euclidean isometries that preserve the \textit{m}-generalized taxicab metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:metric · taxicab distance · generalized taxicab distance

Abstract

In this paper, we define a family of distance functions in the real plane, \textit{m}-generalized taxicab distance function, which includes the generalized taxicab distance and so the taxicab distance functions as special cases, and we show that the \textit{m}-generalized taxicab distance function determines a metric. Then we give some properties of the \textit{m}-generalized taxicab metric, and determine Euclidean isometries that preserve the \textit{m}-generalized taxicab metric.

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Cite This Article

Çolakoğlu, H. B. (2018). A Generalization of The Taxicab Metric And Related Isometries. Konuralp Journal of Mathematics, Cilt: 6 - Sayı: 1, 158–162. https://ajindex.com/articles/786592

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References (8)

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