Work 8

Differential Operator Tables • Conjunction PQR

Version 1

LaTeX Tables

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Enlargement Map} ~ \mathrm{E}(pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)}  &&&&&&& \\ &  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)} \mathrm{d}r  &&&&&& \\ &&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)}  &&&&& \\ &&&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \, \mathrm{d}r  &&&& \\ &&&&  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)}  &&& \\ &&&&&  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)} \mathrm{d}r && \\  &&&&&& \mathrm{d}p \, \mathrm{d}q \texttt{(} \mathrm{d}r  \texttt{)} & \\ &&&&&&&  \mathrm{d}p \, \mathrm{d}q \, \mathrm{d}r \\  \hline  \end{array}

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Tacit Extension} ~ \boldsymbol\varepsilon (pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&& \\  \hline  \end{array}

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Difference Map} ~ \mathrm{D}(pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  0 &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~}  & \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)} \mathrm{d}r &&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)}  && \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)} &&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~}  &&& \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \, \mathrm{d}r &&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)}  &&&& \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~}  &&&&& \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)} \mathrm{d}r && \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)}  &&&&&& \mathrm{d}p \, \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)} & \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~}  &&&&&&& \mathrm{d}p \, \mathrm{d}q \, \mathrm{d}r \\  \hline  \end{array}

JPG Images

Table PQR Enlargement Map

Table PQR Tacit Extension

Table PQR Difference Map

PNG Images

Table 1.0 PQR Enlargement Map

Table 1.0 PQR Tacit Extension

Table 1.0 PQR Difference Map

Version 4

LaTeX Tables

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Enlargement Map} ~ \mathrm{E}(pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)}  &&&&&&& \\ &  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)}  &&&&&& \\ &&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)}  &&&&& \\ &&&  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)} \mathrm{d}r  &&&& \\ &&&&  \mathrm{d}p ~ \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)}  &&& \\ &&&&&  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)} \mathrm{d}r  && \\ &&&&&&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q ~ \mathrm{d}r  & \\ &&&&&&&  \mathrm{d}p ~ \mathrm{d}q ~ \mathrm{d}r \\  \hline  \end{array}

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Tacit Extension} ~ \boldsymbol\varepsilon (pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&& \\  \hline  \end{array}

\begin{array}{|*{8}{c}|}  \multicolumn{8}{c}{\text{Difference Map} ~ \mathrm{D}(pqr)} \\[4pt]  \hline &&&&&&& \\  \texttt{~} p \texttt{~~} q \texttt{~~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~~} r \texttt{~} &  \texttt{~} p \texttt{~(} q \texttt{)~} r \texttt{~} &  \texttt{~} p \texttt{~~} q \texttt{~(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)~} r \texttt{~} &  \texttt{(} p \texttt{)~} q \texttt{~(} r \texttt{)} &  \texttt{~} p \texttt{~(} q \texttt{)(} r \texttt{)} &  \texttt{(} p \texttt{)(} q \texttt{)(} r \texttt{)} \\  \hline &&&&&&& \\  0 &&&&&&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)(} \mathrm{d}r \texttt{)} &&&&&& \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)} &&&&& \\  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&  \texttt{(} \mathrm{d}p \texttt{)(} \mathrm{d}q \texttt{)} \mathrm{d}r &&&& \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~(} \mathrm{d}r \texttt{)} &&&&  \mathrm{d}p ~ \mathrm{d}q \texttt{(} \mathrm{d}r \texttt{)} &&& \\  \texttt{~} \mathrm{d}p \texttt{~(} \mathrm{d}q \texttt{)~} \mathrm{d}r \texttt{~} &&&&&  \mathrm{d}p \texttt{(} \mathrm{d}q \texttt{)} \mathrm{d}r && \\  \texttt{(} \mathrm{d}p \texttt{)~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&  \texttt{(} \mathrm{d}p \texttt{)} \mathrm{d}q ~ \mathrm{d}r & \\  \texttt{~} \mathrm{d}p \texttt{~~} \mathrm{d}q \texttt{~~} \mathrm{d}r \texttt{~} &&&&&&&  \mathrm{d}p ~ \mathrm{d}q ~ \mathrm{d}r \\  \hline  \end{array}

PNG Images

Table 4.0 PQR Enlargement Map

Table 4.0 PQR Tacit Extension

Table 4.0 PQR Difference Map

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