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\subsection{Сходимость} + + Для анализа сходимости были выбраны нулевые граничные условия и сетка размером 20 на 20 клеток. Результаты запуска автомата для пяти произвольны начальных конфигураций представлены графике, который изображён на Рис.~\ref{fig:conv_exps}. На Рис.~\ref{fig:conv_mean}, изображён график среднего значения количества живых клеток для всех пяти экспериментов. По этому графику видно, что количетсов живых клеток стабилизируется после 400 итераций на уровне 70 клеток. На Рис.~\ref{fig:conv_aprox} изображён график аппроксимирующей полиномиальной функции 10 степени для функции количества живых клеток от итераций. По нему также видно, что количество живых клеток сходится к, примерно, 70 клеткам. + + \begin{figure}[h!] + \centering + \includegraphics[width=0.8\linewidth]{img/conv_exps.png} + \caption{График количества «живых» клеток относительно номера итерации при нулевых граничных условиях для сетки размером 20 x 20 для пяти произвольных начальных конфигураций.} + \label{fig:conv_exps} + \end{figure} + + + \begin{figure}[h!] + \centering + \includegraphics[width=0.8\linewidth]{img/conv_mean.png} + \caption{График среднего количества «живых» клеток относительно номера итерации при нулевых граничных условиях для сетки размером 20 x 20 по всем экспериментам.} + \label{fig:conv_mean} + \end{figure} + + \begin{figure}[h!] + \centering + \includegraphics[width=0.8\linewidth]{img/conv_aprox.png} + \caption{График полиномиальной аппроксимирующей функции (n=10) количества «живых» клеток относительно номера итерации при нулевых граничных условиях для сетки размером 20 x 20.} + \label{fig:conv_aprox} + \end{figure} \subsection{Классификация}