Mazdak Farrokhzad edited Version1.tex  about 10 years ago

Commit id: d9d91f9b8300275bb9ad7b2e56c04bc029110c5c

deletions | additions      

       

(c+d)\sum_{i=0}^{n-1} (\sum_{j=i}^{n-1} 1) +  \frac{d}{2}n(n-1)\sum_{i=0}^{n-1} 1 +  \frac{d}{2}\sum_{i=0}^{n-1} i^2 +  \frac{d}{2}(1-2n)\sum_{i=0}^{n-1} i =\\ = \\  = (c+d)\sum_{i=0}^{n-1} (n-i) +  \frac{d}{2}n^2(n-1) +  \frac{d}{2}(\frac{n(n-1)(2n-1)}{6}) +  \frac{d}{2}(1-2n)\frac{1}{2}n(n-1) =\\ = \\  = \frac{1}{2}(  (c+d)(n^2 + n) +