this is for holding javascript data
Mazdak Farrokhzad edited 4b5.tex
over 9 years ago
Commit id: 0be2099f1993c582c0be96f3d0125b68ba84adc5
deletions | additions
diff --git a/4b5.tex b/4b5.tex
index 96026b1..e01d806 100644
--- a/4b5.tex
+++ b/4b5.tex
...
\begin{equation}
\begin{split}
& \wp{V_1 := V; S}{V < V_1}\\
\rule{2} \iff &
\wp{V_{1}:=n-1}{\wp{res:=res*i}{\wp{i:=i+1}{n-i \wp{V_{1} := n - i + 1}{\wp{res := res * i}{\wp{i := i + 1}{n - i + 1 \lt V_{1}}}} \\
\rule{1} \iff &
\wp{V_{1}:=n-1}{wp{res:=res*i}{n-i-1 \wp{V_{1} := n - i + 1}{\wp{res := res * i}{n - i - 1 \lt V_{1}}} \\
\rule{1} \iff &
\wp{V_{1}:=n-1}{n-i-1 \wp{V_{1} := n-1}{n-i-1 \lt V_{1}} \\
\rule{1} \iff & n-i-1 \lt n-i \\
\end{split}
\end{equation}