\begin{frame} \small \begin{definition}[State Transition] The current state: \turing{a_{-6},a_{-5},a_{-4},a_{-3},a_{-2},a_{-1},a_0,a_1,a_2,a_3,a_4,a_5,a_6}{q}{0} If \alert{$\delta(q,a_0) = (b,q',L)$}, then the following state is: \smallskip \turing{a_{-6},a_{-5},a_{-4},a_{-3},a_{-2},a_{-1},b,a_1,a_2,a_3,a_4,a_5,a_6}{q'}{-1} If \alert{$\delta(q,a_0) = (b,q',R)$}, then the following state is: \smallskip \turing{a_{-6},a_{-5},a_{-4},a_{-3},a_{-2},a_{-1},b,a_1,a_2,a_3,a_4,a_5,a_6}{q'}{1} \end{definition} \end{frame}