AFFIN KOORDINATALAR SISTEMASIDA METRIK BO‘LMAGAN GEOMETRIK XOSSALARNING TADQIQI
;
affin fazo, affin koordinatalar, metrik bo‘lmagan geometriya, invariantlar, parallelizm, kollinearlik, bo‘linish nisbati, barysentrik koordinatalar, affin akslantirish, chiziqli algebra, proyektiv geometriyaAbstrak
Ushbu maqolada affin koordinatalar sistemasida metrik tushunchalarga bog‘liq bo‘lmagan geometrik xossalar o‘rganiladi. Natijalarda parallelizm, kollinearlik, bo‘linish nisbatlari va barysentrlik kabi invariant xossalar aniqlashtirildi hamda affin o‘zgarishlar ostida saqlanishi isbotlandi. Xulosa sifatida affin geometriya metrikdan mustaqil holda geometrik strukturalarni o‘rganishda samarali nazariy asos ekanligi ko‘rsatildi.
Iqtiboslar
Strang, G. (2006). Linear Algebra and Its Applications. Thomson Brooks/Cole.
Kuratowski, K. (1968). Topology, Volume II. Academic Press.
Dilnoza, M. Use of the Acmelological Approach to Teaching Mathematics. International Journal of Innovative Analyses and Emerging Technology. c-ISSN, 2792-4025.
Abduraxmonova, R., & Mahmudova, D. (2025). Nuqtadan to'g'ri chiziqqacha bo'lgan masofa. Ikki to'g'ri chiziq orasidagi burchak. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 74–78). Zenodo. https://doi.org/10.5281/zenodo.15186643
Abdulhayeva, G., & Mahmudova, D. (2025). Tekislikda to'g'ri chiziq tenglamalari va ularni amaliyotga tadbiqi. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 35–40).
Karimberdiyeva , D. ., & Mahmudova , D. . (2025). Tekislikdagi perspektiv-affin moslikning o’ziga xos xususiyatlari. Развитие педагогических технологий в современных науках, 4(3), 114–117.
Ismoilova, D., & Mahmudova, D. (2025). Ko ‘po ‘lchovli yevklid fazosi: o ‘qitish texnologiyasi asosida yondashuv. In Innov. Conf. Published online April (Vol. 17, No. 2025, pp. 1-7).
Abdiqayumov, A., & Maxmudova, D. (2025). Central and parallel projections and their properties. Теоретические аспекты становления педагогических наук, 4(8), 177-184.