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236 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
236 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
237 \mode<presentation>{ |
237 \mode<presentation>{ |
238 \begin{frame}[c] |
238 \begin{frame}[c] |
239 \frametitle{\LARGE The Myhill-Nerode Theorem} |
239 \frametitle{\LARGE The Myhill-Nerode Theorem} |
240 |
240 |
241 \mbox{}\\[5cm] |
241 |
242 |
242 \begin{tikzpicture}[scale=3] |
243 \begin{itemize} |
243 \clip[draw] (0.5,0.5) circle (.6cm); |
244 \item \smath{\text{finite}\, (U\!N\!IV /\!/ \approx_L) \;\Leftrightarrow\; L\; \text{is regular}} |
244 \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4); |
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245 \draw (-1.5,0) -- (1.5,0); |
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246 \draw (0,-1.5) -- (0,1.5); |
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247 \draw (0,0) circle (1cm); |
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248 \draw (3mm,0mm) arc (0:30:3mm); |
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249 \end{tikzpicture} |
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250 |
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251 |
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252 |
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253 \begin{itemize} |
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254 \item \smath{\text{finite}\, (U\!N\!IV /\!/ \approx_L) |
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255 \;\Leftrightarrow\; L\; \text{is regular}} |
245 \end{itemize} |
256 \end{itemize} |
246 |
257 |
247 \end{frame}} |
258 \end{frame}} |
248 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
259 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
249 |
260 |