Changeset 124 for docs/trunk/omega-test-slides

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• docs/trunk/omega-test-slides/omega-test.tex

  r123	r124
  63	63	\begin{frame}[fragile]
  64	64	\frametitle{Parallel Usage}
  65	Without knowing the value of \lstinline|p|,\lstinline|q| or \lstinline|r| at (削除) run (削除ここまで)-time,
  65	Without knowing the value of \lstinline|p|,\lstinline|q| or \lstinline|r| at (追記) compile (追記ここまで)-time,
  66	66	can we determine if this is safe:
  67	67	\begin{lstlisting}
  …	…
  194	194	\end{frame}
  195	195
  196	%TODO show what happens when you don't yet have a unit coefficient (the substitution that is picked)
  197
  196	\begin{frame}
  197	\frametitle{Equality Solving Method}
  198	\begin{itemize}
  199	\item Look for a unit coefficient ($|a_k| = 1$) so we can perform a straightforward substitution
  200	\item Otherwise a special substitution is used:
  201	\begin{itemize}
  202	\item $x_k = -\operatorname{sign}(a_k)m\sigma + \sum_{i \in V - \{k\}} \operatorname{sign}(a_k)(a_i \widehat{\operatorname{mod}} m)x_i$
  203	\item See paper for details (no simple explanation)
  204	%TODO try to think of a simple explanation, if possible
  205	\end{itemize}
  206	\end{itemize}
  207	\end{frame}
  198	208
  199	209	\section{Inequalities}
  210	(追記) (追記ここまで)
  211	(追記) %Section divider: (追記ここまで)
  212	(追記) \begin{frame} (追記ここまで)
  213	(追記) \frametitle{Inequalities} (追記ここまで)
  214	(追記) \end{frame} (追記ここまで)
  200	215
  201	216	%The ordering is mainly based on what makes the graphs clearest.

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