A generalization of the Minkowski distance and new definitions of the central conics

Harun Barış ÇOLAKOĞLU

Makale detayları

A generalization of the Minkowski distance and new definitions of the central conics

Yazarlar:

Harun Barış ÇOLAKOĞLU

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.319-333

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745486

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we give a generalization of the well-known Minkowski distance family in the n-dimensional Cartesian coordinate space. Then we consider three special cases of this family, which are also generalizations of the taxicab, Euclidean, and maximum metrics, respectively, and we determine some circle properties of them in the real plane. While we determine some properties of circles of these generalized distances, we discover a new definition of ellipses, and then we also determine a similar definition of hyperbolas, which will be new members among different metrical definitions of central conics in the Euclidean plane.

Makale detayları

A generalization of the Minkowski distance and new definitions of the central conics

Yazarlar: Harun Barış ÇOLAKOĞLU

Yayıncı: TUBITAK

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.319-333

Belge Tipi: Makale

Yayın Tarihi: 1/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000745486

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Harun Barış ÇOLAKOĞLU

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 1, pp.319-333

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745486

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098