this is for holding javascript data
Ekaterina Yaryshkina edited section_begin_itemize_item_Err__.tex
almost 8 years ago
Commit id: 43494091476089b6312ca1b38d4961e5b62f0f7a
deletions | additions
diff --git a/section_begin_itemize_item_Err__.tex b/section_begin_itemize_item_Err__.tex
index a7eeeba..f96c23c 100644
--- a/section_begin_itemize_item_Err__.tex
+++ b/section_begin_itemize_item_Err__.tex
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\item Аксиома треугольника: $Err(X,Y) \le Err(X,Z) + Err(Z,Y)$
\end{itemize}
Докажем аксиому треугольника. Введем
обозначение обозначение:\\
$\Delta X_{v,w} = index(X,v) -
index(X,w)$
Проверим выполнение аксиомы на примере:\\ index(X,w)$,\\
$\Delta Y_{v,w} = index(Y,v) - index(Y,w)$,\\
$\Delta Z_{v,w} = index(Z,v) - index(Z,w)$.\\
\begin{table}
\begin{center}
\begin{tabular}{| c | c | c | c | c |}
\hline
$\Delta X_{v,w}$ & $\Delta Y_{v,w}$ & $\Delta Z_{v,w}$ & $Err(X,Y) \le Err(X,Z)+Err(Z,Y)$\\ \hline
$\Delta X_{v,w} < 0$ & $\Delta Y_{v,w} < 0$ & $\Delta Z_{v,w} < 0$ & $0 \le 0 + 0$ \\
$\Delta X_{v,w} < 0$ & $\Delta Y_{v,w} < 0$ & $\Delta Z_{v,w} > 0$ & $0 \le 1 + 1$ \\
$\Delta X_{v,w} < 0$ & $\Delta Y_{v,w} > 0$ & $\Delta Z_{v,w} < 0$ & $1 \le 0 + 1$ \\
$\Delta X_{v,w} < 0$ & $\Delta Y_{v,w} > 0$ & $\Delta Z_{v,w} > 0$ & $1 \le 1 + 0$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\begin{center}