TRANSFORMATION OF AFFIN COORDINATE SYSTEMS ON A PLANE.

Gadayev Doniyor Rajabovich

Jizzax davlat pedagogika universiteti “Tabiiy va aniq fanlarda masofaviy ta’lim” kafedrasi o’qituvchisi

##semicolon## coordinate transformation,##common.commaListSeparator## affine transformation##common.commaListSeparator## coordinate system


सार

This article explores the theoretical foundations of affine coordinate system transformation. It analyzes the methods of converting coordinates from one affine system to another, the mathematical models of this process, and its practical applications. The study, based on geometry and linear algebra, also highlights the invariant properties of coordinate transformations.


##submission.citations##

1. Ganiyev U., Jo‘rayev Sh. – Analitik geometriya. – Toshkent: O‘zbekiston nashriyoti, 2018.

2. Sultonov M. X. – Algebra va geometriya asoslari. – Toshkent: Fan va texnologiya, 2020.

3. O‘zakov B., Ismoilov A. – Geometriya va uning amaliy qo‘llanilishi. – Toshkent: Universitet nashriyoti, 2015.

4. U.R. Xalmanov, “Tekislikdagi harakat, uning eng sodda turlari, analitik ifodasi” maqolasi “Journal of science-innovative research in uzbekistan” jurnali volume 3, issue 02, 2025. February

5. A.A. Axatqulov “Vektorlarning skalyar ko’paytmasi” maqolasi, Multidisciplinary journal: fundamental research scientific journal volume 01. issue 02. february 2025.

6. A.Sh. Raxmatov, “Vektorlar ustidagi chiziqli amallar” maqolasi, Multidisciplinary journal: fundamental research scientific journal volume 01. issue 02. february 2025.

7. G. M. Fichtenholz, "Differensial va integral hisob", Toshkent, O‘zbekiston, 2005.