this is for holding javascript data
Mazdak Farrokhzad edited stuff.tex
about 10 years ago
Commit id: 06919d2842666802a561fb03af0bb2bec2629dd7
deletions | additions
diff --git a/stuff.tex b/stuff.tex
index 1b9a308..e6fb5cb 100644
--- a/stuff.tex
+++ b/stuff.tex
...
\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}\\