Albatta, $T(n) = O(n^3) $ ning Katta O notatsiyasidan foydalanib $T(n) = O(n^3) $ ekanligini ko'rsatish uchun rasmiy induksiya isboti: $c = 15$ va $n_0 = 1$ bo'lsin. Keyin, barcha $n \ge n_0$ uchun bizda: $T(n) = 15n^3 + n^2 + 4 \le 15n^3 + n^3 + n^3 = 31^n^3. $ Shunday qilib, bizda $T(n) \le 31n^3 $ barcha $n \ge n_0$ uchun bor va shundan $T(n) = O(n^3) $ kelib chiqadi. Yuqoridagi dalil LaTeXda shunday ko'rinadi: $c = 15$ va $n_0 = 1$. Keyin, barcha $n \ge_
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