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.
metric taxicab distance generalized taxicab distance isometry
Konular | Mühendislik |
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Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2018 |
Gönderilme Tarihi | 12 Mayıs 2017 |
Kabul Tarihi | 6 Nisan 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 6 Sayı: 1 |