Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Harun Barış Çolakoğlu"'
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1553 (2024)
In this article, we give rotational motions on any straight line or any parabola in a scalar product space. To achieve this goal, we first define the generalized Galilean scalar product and determine the generalized Galilean skew symmetric and orthog
Externí odkaz:
https://doaj.org/article/14a5ebda85e74b809e678e10b684306f
Autor:
Mehmet Duru, Harun Barış Çolakoğlu
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1805 (2023)
In this study, we first generalize the Lorentzian inner and vector products, and then we define the generalized split quaternions by means of the generalized Lorentzian inner and vector products. Next, on any hyperboloid of one or two sheets, which i
Externí odkaz:
https://doaj.org/article/e805d4f7673945ec99411a428adae72c
Autor:
Harun Barış Çolakoğlu
Publikováno v:
Volume: 68, Issue: 2 1359-1369
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
In this paper, we define the generalized taxicab distance function in three dimensional space, which includes the taxicab distance function as a special case, and we show that three dimensional generalized taxicab distance function determines a metri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f4af6a082404527dc8a501213a24667
https://doi.org/10.31801/cfsuasmas.530441
https://doi.org/10.31801/cfsuasmas.530441
Autor:
Harun Barış Çolakoğlu
Publikováno v:
Volume: 11, Issue: 2 83-89
International Electronic Journal of Geometry
International Electronic Journal of Geometry
In this study, we determine the generalized taxicab group consisting all isometries of the real plane endowed with the generalized taxicab metric. First we develop natural analogues of Euclidean reflection and rotation notions, and then determine all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b9eff41648007b64929b015b2ea80d
https://dergipark.org.tr/tr/pub/iejg/issue/44175/545135
https://dergipark.org.tr/tr/pub/iejg/issue/44175/545135
Autor:
Harun Barış Çolakoğlu, Kaya, R.
Publikováno v:
Scopus-Elsevier
ResearcherID
Mathematical Communications
Volume 16
Issue 1
ResearcherID
Mathematical Communications
Volume 16
Issue 1
In this paper, we define a family of distance functions in the real plane, m-distance function, which includes the taxicab, Chinese checker, maximum, and alpha distance functions as special cases, and we show that the m-distance function determines a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::84d467d327fccb6ed204af91c334f37c
http://www.scopus.com/inward/record.url?eid=2-s2.0-79959435250&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-79959435250&partnerID=MN8TOARS
Autor:
Harun Barış Çolakoğlu
Publikováno v:
Harun Barış Çolakoğlu
In this paper, we define the trigonometric functions in the plane with the $m$-metric. And then we give two properties about these trigonometric functions, one of which states the area formula for a triangle in the $m$-plane in terms of the $m$-metri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48fcab6a620898ba40c6847acc08134f
https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=283482
https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=283482
Publikováno v:
Scopus-Elsevier
ResearcherID
Mathematical Communications
Volume 18
Issue 1
ResearcherID
Mathematical Communications
Volume 18
Issue 1
In this paper, we give three area formulas for a triangle in the alpha plane in terms of the alpha distance. The two of them are alpha versions of the standard area formula for a triangle in the Euclidean plane, and the third one is an alpha version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::00795f82e84748e4d85bb04393d7707c
http://www.scopus.com/inward/record.url?eid=2-s2.0-84877667284&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-84877667284&partnerID=MN8TOARS