Merge branch 'dev_philipp' into 'master'

fix

See merge request !57

lessons/20210621.tex

@@ -98,10 +98,10 @@
 			$~~~\Max ~ L$\\
 			$L\le \underset{i}{\sum} x_ia_{ij}$\\
 			$j=1,\cdots,n$\\}}
-		$~~~$\parbox{4cm}{
-			$\Max ~ L$\\
-			$x\ge 0, \underset{i}{\sum}x_ia_{ij} \ge L$\\
-			$\underset{i}{\overset{m}{\sum}} x_i = 1, j=1,\cdots,n$}
+		$~~~$\parbox{6cm}{
+			$= \Max ~ L$\\
+			$~~~~x\ge 0, \underset{i}{\sum}x_ia_{ij} \ge L$\\
+			$~~~~\underset{i}{\overset{m}{\sum}} x_i = 1, j=1,\cdots,n$}
 		
 		$L$ kann $\lesseqgtr 0$ sein $\Rightarrow$ wir setzen 
 		\[ \fcolorbox{dg}{white}{

lessons/20210623.tex

@@ -42,10 +42,10 @@ Zur Berechnung von $\overset{~\bullet ~ 0}{y}$ wird folgendes $(LOP(2))$ aufgest
 			$~~~\Min ~ K$\\
 			$K\ge \underset{j}{\overset{n}{\sum}} y_ja_{ij}$\\
 			$j=1,\cdots,{\dg m}$\\}}
-		$~~~$\parbox{4.2cm}{
-			$\Min ~ K$\\
-			$y\ge 0, \underset{j}{\sum}y_ja_{ij} \le K$\\
-			$\underset{j}{\overset{n}{\sum}} x_i = 1, i=1,\cdots,{\dg m}$}
+		$~~~$\parbox{5cm}{
+			$=\Min ~ K$\\
+			$~~~~y\ge 0, \underset{j}{\sum}y_ja_{ij} \le K$\\
+			$~~~~\underset{j}{\overset{n}{\sum}} x_i = 1, i=1,\cdots,{\dg m}$}
 
 Da $K$ beliebige Vorzeichen hat, setzen wir
 \[\fcolorbox{dr}{white}{$-K = y_{n+1} - y_{n+2},$} \]