# Alternates and Experiments

## Differential Operator Tables • Conjunction PQR

### Version 1

#### LaTeX Tables

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

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

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

### Version 4

#### LaTeX Tables

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

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

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