<|begin_of_text|><|start_header_id|>system<|end_header_id|>

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

pi ning aniq qiymati qanday hisoblanadi?<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Pi (π) ning aniq qiymati turli xil matematik algoritmlar va usullar yordamida hisoblanadi. Eng keng tarqalgan usul - bu Arximed usuli yoki Monte-Karlo usuli kabi iterativ algoritmdan foydalanib, π qiymatini katta sonli o'nli kasrlarga yaqinlashtirish. π ning o'nli ko'rinishi shuningdek, Leybnits formulasida pi kabi cheksiz qatorlar yordamida yoki Fourier tahlili kabi raqamli tahlil usullaridan foydalanib ham hisoblanishi mumkin. Bundan tashqari, π ning qiymati, shuningdek, elliptik funksiya yoki modul shakllardan foydalanish kabi ramziy hisoblash usullari yordamida ham hisoblanishi mumkin.<|eot_id|>