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Update 02_BoolscheAlgebra.md
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02_BoolscheAlgebra.md

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@@ -341,7 +341,7 @@ $$
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{{2}}
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$$
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\begin{aligned}
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f(x_1, x_2, x_3) &=\overline{w}x\overline{y}\,\overline{z}+\overline{w}x\overline{y}z+w\overline{x}y\overline{z}+wx\overline{y}\,\overline{z}+wx\overline{y}z \\
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f(w,x,y,z) &=\overline{w}x\overline{y}\,\overline{z}+\overline{w}x\overline{y}z+w\overline{x}y\overline{z}+wx\overline{y}\,\overline{z}+wx\overline{y}z \\
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& =\overline{w}x\overline{y}\left(\overline{z}+z\right)+wx\overline{y}\left(\overline{z}+z\right)+w\overline{x}y\overline{z} & {Kommut., 2xDistr.}\\
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& =\overline{w}x\overline{y}1+wx\overline{y}1+w\overline{x}y\overline{z} & {Komplement.}\\
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& =\overline{w}x\overline{y}+wx\overline{y}+w\overline{x}y\overline{z} & {Neutralitäts.}\\
@@ -393,11 +393,11 @@ $$
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{{1}}
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$$
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\begin{aligned}
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f(x_1, x_2, x_3) &= \overline{x}_1\cdot \overline{x}_2 \cdot \overline{x}_3 + \\
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&= \overline{x}_1\cdot \overline{x}_2 \cdot x_3 + \\
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&= x_1\cdot \overline{x}_2 \cdot x_3 + \\
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&= x_1\cdot x_2 \cdot \overline{x}_3 + \\
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&= x_1\cdot \overline{x}_2 \cdot \overline{x}_3 \\
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f(x_1 , x_2, x_3) =&\overline{x}_1\cdot \overline{x}_2 \cdot \overline{x}_3 + \\
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&\overline{x}_1\cdot \overline{x}_2 \cdot x_3 + \\
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&x_1\cdot \overline{x}_2 \cdot x_3 + \\
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&x_1\cdot x_2 \cdot \overline{x}_3 + \\
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&x_1\cdot \overline{x}_2 \cdot \overline{x}_3 \\
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\end{aligned}
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$$
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