diff -r 7a437f1f689d -r 6e5e3adc9eb1 handouts/ho03.tex --- a/handouts/ho03.tex Sat Oct 13 13:51:28 2018 +0100 +++ b/handouts/ho03.tex Tue Oct 16 00:42:10 2018 +0100 @@ -1355,15 +1355,15 @@ \end{eqnarray} \noindent Unfortunately we cannot make any more progress with -substituting equations, because both (6) and (7) contain the +substituting equations, because both (8) and (9) contain the variable on the left-hand side also on the right-hand side. Here we need to now use a law that is different from the usual laws about linear equations. It is called \emph{Arden's rule}. It states that if an equation is of the form $q = q\,r + s$ then it can be transformed to $q = s\, r^*$. Since we can -assume $+$ is symmetric, Equation (7) is of that form: $s$ is +assume $+$ is symmetric, Equation (9) is of that form: $s$ is $Q_0\,a\,a$ and $r$ is $a$. That means we can transform -(7) to obtain the two new equations +(9) to obtain the two new equations \begin{eqnarray} Q_0 & = & \ONE + Q_0\,(b + a\,b) + Q_2\,b\\