Tenglamalar yordamida real hayotiy masalalarni model qilish
Keywords:
Tenglamalar, matematik model, real hayotiy masala, chiziqli tenglama, kvadrat tenglama, bo‘lmagan tenglama, transport tizimi, iqtisodiy model, ekologik masala, statistik tahlil.Abstract
Maqolada tenglamalarning real hayotiy masalalarni tahlil qilish va modellashtirishdagi ahamiyati o‘rganilgan. Turli sohalarda — sanoat jarayonlari, transport tizimlari, iqtisodiyot va ekologiya — matematik tenglamalar muammolarni yechishda samarali vosita hisoblanadi. Maqolada chiziqli, kvadrat va bo‘lmagan tenglamalardan foydalanish misollari keltirilgan, shuningdek, real hayotiy vaziyatlarni matematik model shaklida ifodalash va tahlil qilish usullari ko‘rib chiqilgan. Shuningdek, maqolada tenglamalar yordamida olingan natijalarni grafik va statistik vositalar orqali tahlil qilish imkoniyatlari ham ta’kidlangan.
References
1. Anton H., Rorres C. Elementary Linear Algebra. – Wiley, 2020.
2. Lay D.C., Lay S.R., McDonald J.J. Linear Algebra and Its Applications. – Pearson, 2019.
3. Stewart J. Calculus: Early Transcendentals. – Cengage, 2021.
4. Boyce W.E., DiPrima R.C. Elementary Differential Equations and Boundary Value Problems. – Wiley, 2020.
5. Strang G. Introduction to Linear Algebra. – Wellesley-Cambridge Press, 2018.
6. Wikipedia. Mathematical Modeling. [Online] Available: https://en.wikipedia.org/wiki/Mathematical_modeling
7. Khan Academy. Systems of Equations and Real-World Applications. [Online] Available: https://www.khanacademy.org
8. O‘zbekiston Respublikasi Statistika Qo‘mitasi. Transport va Sanoat Ma’lumotlari. 2022–2023.
9. MATLAB Documentation. Mathematical Modeling Tools.
10. Proteus Design Suite. Simulation of Real-World Systems. [Online] Available:
