AFFIN KOORDINATALAR SISTEMASIDA ALMASHTIRISHLAR: IKKINCHI TARTIBLI CHIZIQLI TENGLAMALARNI SODDALASHTIRISH
Abstract
Ushbu maqolada affin koordinatalar sistemasida bajariladigan almashtirishlar va ular yordamida ikkinchi tartibli chiziqlar tenglamalarni soddalashtirish usullari o‘rganilgan. Tadqiqotda koordinatalarni siljitish, o‘qlarni burish va yangi koordinata sistemasiga o‘tish orqali kvadratik shakllarni soddalashtirishning nazariy asoslari yoritilgan. Shuningdek, affin almashtirishlar yordamida umumiy ko‘rinishdagi ikkinchi tartibli tenglama – Ax² + Bxy + Cy² + Dx + Ey + F = 0 ni soddalashtirib, uni elliptik, giperbolik va parabolik egri chiziqlar ko‘rinishiga keltirish yo‘llari ko‘rsatib berilgan. Mazkur yondashuv koordinatalar geometriyasida, analitik geometriyada hamda amaliy hisoblashlarda muhim ahamiyat kasb etadi.
Fields of Study & Subjects
Advanced Computational Techniques in Science and Engineering
Aerospace Engineering and Control Systems
Experimental and Theoretical Physics Studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 January 2026