Mazdak Farrokhzad edited stuff.tex  about 10 years ago

Commit id: 06919d2842666802a561fb03af0bb2bec2629dd7

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\begin{equation}  \begin{split}  m &= \sqrt{n}\\  f(n) &= a + \sum_{p=2}^{m}[b \sum_{p=2}^{m}\left[b  + \sum_{i=1}^{\frac{n}{p}} c]\\ c\right]\\  &= a + \sum_{p=2}^{m}b + \sum_{p=2}^{m}\big[c\sum_{i=1}^{\frac{n}{p}} \sum_{p=2}^{m}[c\sum_{i=1}^{\frac{n}{p}}  1]\\ &= a + b\sum_{p=2}^{m}1 + c\sum_{p=2}^{m}[\sum_{i=1}^{\frac{n}{p}}]\\  &= a + b(m + 1) + c\sum_{p=2}^{m}\frac{n}{p}\\  &= a + b(m + 1) + cn\sum_{p=2}^{m}\frac{1}{p}\\