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, 04:34, 7 June 2008→Appendices @ PlanetMath : TeX Format: copy tables from planet math
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=Appendices @ PlanetMath : TeX Format=
=Appendices @ PlanetMath : TeX Format=
+
+==Table 1==
+
+<pre>
+\begin{quote}\begin{tabular}{|c|c|c|c|c|c|c|}
+\multicolumn{7}{c}{Table 1. Propositional Forms on Two Variables} \\
+\hline
+$\mathcal{L}_1$ &
+$\mathcal{L}_2$ &&
+$\mathcal{L}_3$ &
+$\mathcal{L}_4$ &
+$\mathcal{L}_5$ &
+$\mathcal{L}_6$ \\
+\hline
+& & $x =$ & 1 1 0 0 & & & \\
+& & $y =$ & 1 0 1 0 & & & \\
+\hline
+$f_{0}$ & $f_{0000}$ & & 0 0 0 0 & $(~)$ & false & $0$ \\
+$f_{1}$ & $f_{0001}$ & & 0 0 0 1 & $(x)(y)$ & neither $x$ nor $y$ & $\lnot x \land \lnot y $ \\
+$f_{2}$ & $f_{0010}$ & & 0 0 1 0 & $(x)\ y$ & $y$ and not $x$ & $\lnot x \land y$ \\
+$f_{3}$ & $f_{0011}$ & & 0 0 1 1 & $(x)$ & not $x$ & $\lnot x$ \\
+$f_{4}$ & $f_{0100}$ & & 0 1 0 0 & $x\ (y)$ & $x$ and not $y$ & $x \land \lnot y$ \\
+$f_{5}$ & $f_{0101}$ & & 0 1 0 1 & $(y)$ & not $y$ & $\lnot y$ \\
+$f_{6}$ & $f_{0110}$ & & 0 1 1 0 & $(x,\ y)$ & $x$ not equal to $y$ & $x \ne y$ \\
+$f_{7}$ & $f_{0111}$ & & 0 1 1 1 & $(x\ y)$ & not both $x$ and $y$ & $\lnot x \lor \lnot y$ \\
+\hline
+$f_{8}$ & $f_{1000}$ & & 1 0 0 0 & $x\ y$ & $x$ and $y$ & $x \land y$ \\
+$f_{9}$ & $f_{1001}$ & & 1 0 0 1 & $((x,\ y))$ & $x$ equal to $y$ & $x = y$ \\
+$f_{10}$ & $f_{1010}$ & & 1 0 1 0 & $y$ & $y$ & $y$ \\
+$f_{11}$ & $f_{1011}$ & & 1 0 1 1 & $(x\ (y))$ & not $x$ without $y$ & $x \Rightarrow y$ \\
+$f_{12}$ & $f_{1100}$ & & 1 1 0 0 & $x$ & $x$ & $x$ \\
+$f_{13}$ & $f_{1101}$ & & 1 1 0 1 & $((x)\ y)$ & not $y$ without $x$ & $x \Leftarrow y$ \\
+$f_{14}$ & $f_{1110}$ & & 1 1 1 0 & $((x)(y))$ & $x$ or $y$ & $x \lor y$ \\
+$f_{15}$ & $f_{1111}$ & & 1 1 1 1 & $((~))$ & true & $1$ \\
+\hline
+\end{tabular}\end{quote}
+</pre>
+
+==Table 2==
+
+<pre>
+\begin{quote}\begin{tabular}{|c|c|c|c|c|c|c|}
+\multicolumn{7}{c}{Table 2. Propositional Forms on Two Variables} \\
+\hline
+$\mathcal{L}_1$ &
+$\mathcal{L}_2$ &&
+$\mathcal{L}_3$ &
+$\mathcal{L}_4$ &
+$\mathcal{L}_5$ &
+$\mathcal{L}_6$ \\
+\hline
+& & $x =$ & 1 1 0 0 & & & \\
+& & $y =$ & 1 0 1 0 & & & \\
+\hline
+$f_{0}$ & $f_{0000}$ & & 0 0 0 0 & $(~)$ & false & $0$ \\
+\hline
+$f_{1}$ & $f_{0001}$ & & 0 0 0 1 & $(x)(y)$ & neither $x$ nor $y$ & $\lnot x \land \lnot y $ \\
+$f_{2}$ & $f_{0010}$ & & 0 0 1 0 & $(x)\ y$ & $y$ and not $x$ & $\lnot x \land y$ \\
+$f_{4}$ & $f_{0100}$ & & 0 1 0 0 & $x\ (y)$ & $x$ and not $y$ & $x \land \lnot y$ \\
+$f_{8}$ & $f_{1000}$ & & 1 0 0 0 & $x\ y$ & $x$ and $y$ & $x \land y$ \\
+\hline
+$f_{3}$ & $f_{0011}$ & & 0 0 1 1 & $(x)$ & not $x$ & $\lnot x$ \\
+$f_{12}$ & $f_{1100}$ & & 1 1 0 0 & $x$ & $x$ & $x$ \\
+\hline
+$f_{6}$ & $f_{0110}$ & & 0 1 1 0 & $(x,\ y)$ & $x$ not equal to $y$ & $x \ne y$ \\
+$f_{9}$ & $f_{1001}$ & & 1 0 0 1 & $((x,\ y))$ & $x$ equal to $y$ & $x = y$ \\
+\hline
+$f_{5}$ & $f_{0101}$ & & 0 1 0 1 & $(y)$ & not $y$ & $\lnot y$ \\
+$f_{10}$ & $f_{1010}$ & & 1 0 1 0 & $y$ & $y$ & $y$ \\
+\hline
+$f_{7}$ & $f_{0111}$ & & 0 1 1 1 & $(x\ y)$ & not both $x$ and $y$ & $\lnot x \lor \lnot y$ \\
+$f_{11}$ & $f_{1011}$ & & 1 0 1 1 & $(x\ (y))$ & not $x$ without $y$ & $x \Rightarrow y$ \\
+$f_{13}$ & $f_{1101}$ & & 1 1 0 1 & $((x)\ y)$ & not $y$ without $x$ & $x \Leftarrow y$ \\
+$f_{14}$ & $f_{1110}$ & & 1 1 1 0 & $((x)(y))$ & $x$ or $y$ & $x \lor y$ \\
+\hline
+$f_{15}$ & $f_{1111}$ & & 1 1 1 1 & $((~))$ & true & $1$ \\
+\hline
+\end{tabular}\end{quote}
+</pre>
=Work Area 1=
=Work Area 1=
