this is for holding javascript data
Mazdak Farrokhzad edited Version1.tex
over 10 years ago
Commit id: 3b3a55a9dd8875bccfab40337c5f9000f922572d
deletions | additions
diff --git a/Version1.tex b/Version1.tex
index 6ab1a1c..26b936a 100644
--- a/Version1.tex
+++ b/Version1.tex
...
$$
f_2(n,i) =
\sum_{j=i}^{n-1} (c + f_1(j,i)) =
\\*
c\sum_{j=i}^{n-1} 1 + d\sum_{j=i}^{n-1} 1 + d\sum_{j=i}^{n-1} j - di\sum_{j=i}^{n-1} 1
=\\ = \\*
= (c + d)\sum_{j=i}^{n-1} 1 + d(\frac{n(n-1)}{2} - \frac{i(i-1)}{2}) - di(n-i)
=\\ = \\*
= (c + d)\sum_{j=i}^{n-1} 1 + \frac{d}{2}n(n-1) + \frac{d}{2}i^2 + \frac{d}{2}(1-2n)i
$$