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Directory:Jon Awbrey/Papers/Differential Logic : Introduction
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Revision as of 16:26, 17 June 2009
164 bytes added
,
16:26, 17 June 2009
→Note 24
:
use \texttt{...} fornt for logical operators
Line 4,041:
Line 4,041:
<math>\begin{array}{rcccccc}
<math>\begin{array}{rcccccc}
\varepsilon (pq)
\varepsilon (pq)
−
& = & p & \cdot & q & \cdot & (\operatorname{d}p)(\operatorname{d}q)
+
& = &
+
p & \cdot & q & \cdot &
+
\texttt{
(
}
\operatorname{d}p
\texttt{
)
}
+
\texttt{
(
}
\operatorname{d}q
\texttt{
)
}
\\[4pt]
\\[4pt]
−
& + & p & \cdot & q & \cdot & (\operatorname{d}p)~\operatorname{d}q~
+
& + &
+
p & \cdot & q & \cdot &
+
\texttt{
(
}
\operatorname{d}p
\texttt{
)
}
+
\texttt{
~
}
\operatorname{d}q
\texttt{
~
}
\\[4pt]
\\[4pt]
−
& + & p & \cdot & q & \cdot & ~\operatorname{d}p~(\operatorname{d}q)
+
& + &
+
p & \cdot & q & \cdot &
+
\texttt{
~
}
\operatorname{d}p
\texttt{
~
}
+
\texttt{
(
}
\operatorname{d}q
\texttt{
)
}
\\[4pt]
\\[4pt]
−
& + & p & \cdot & q & \cdot & ~\operatorname{d}p~~\operatorname{d}q~
+
& + &
+
p & \cdot & q & \cdot &
+
\texttt{
~
}
\operatorname{d}p
\texttt{
~
}
+
\texttt{
~
}
\operatorname{d}q
\texttt{
~
}
\end{array}</math>
\end{array}</math>
|}
|}
Jon Awbrey
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edits