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You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Python yordamida, Hamilton Jacobi Bellman tenglamasi bilan bog'liq muammoni algebraik yechim sifatida yoza olasizmi?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Python-da Hamilton Jacobi Bellman tenglamasi bilan bog'liq muammoni algebraik ravishda hal qilish uchun NumPy yoki SciPy kabi matematik kutubxonalardan foydalanish mumkin. Keyingi misol, HJB tenglamasini oddiy optimallashtirish muammosida hal qilish uchun kodning namunasidir: import numpy as np from scipy.optimize import fsolve def HJB_eqn(V, u, rho, delta_t): # holat va nazorat o'zgaruvchilarini belgilash x, y = u # Hamiltoniyan funksiyasini belgilash H = x**2 + y**2 + rho * (V[0] - V[1]) / delta_t return [H, H] defJJ_Br, delta_t): V0 = [0, 0] # echim uchun boshlang'ich shartlar u [01, 1] #<|eot_id|>