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π sonini aniqlashning yangi usuli

π sonini aniqlashning yangi usuli
Qadimiy tenglama
X^2-X-1=0 dan
X=1.61803398875 va 1/X=0.61803398875 “oltin sonlar” deyiladi.
Ushbu “oltin sonlar” va X^2, tenglamada ahamiyatli 1 soni orqali π sonini aniqlashning yangi usulini taklif qilaman, ya’ni
π=x^2*((x+1/x)^2+1)/(x+1/x)^2.

 

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