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Revision as of 03:25, 19 June 2008
, 03:25, 19 June 2008→Expanded on a Logical Basis: fill table
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<math>\begin{smallmatrix}
<math>\begin{smallmatrix}
(y) & \operatorname{d}x\ (\operatorname{d}y) & + &
(y) & \operatorname{d}x\ (\operatorname{d}y) & + &
(x) & (\operatorname{d}x)\ \operatorname{d}y & + &
(x) & (\operatorname{d}x)\ \operatorname{d}y & + &
((x, y)) & \operatorname{d}x\ \operatorname{d}y \\
((x, y)) & \operatorname{d}x\ \operatorname{d}y \\
y & \operatorname{d}x\ (\operatorname{d}y) & + &
y & \operatorname{d}x\ (\operatorname{d}y) & + &
(x) & (\operatorname{d}x)\ \operatorname{d}y & + &
(x) & (\operatorname{d}x)\ \operatorname{d}y & + &
(x, y) & \operatorname{d}x\ \operatorname{d}y \\
(x, y) & \operatorname{d}x\ \operatorname{d}y \\
(y) & \operatorname{d}x\ (\operatorname{d}y) & + &
(y) & \operatorname{d}x\ (\operatorname{d}y) & + &
x & (\operatorname{d}x)\ \operatorname{d}y & + &
x & (\operatorname{d}x)\ \operatorname{d}y & + &
(x, y) & \operatorname{d}x\ \operatorname{d}y \\
(x, y) & \operatorname{d}x\ \operatorname{d}y \\
y & \operatorname{d}x\ (\operatorname{d}y) & + &
y & \operatorname{d}x\ (\operatorname{d}y) & + &
x & (\operatorname{d}x)\ \operatorname{d}y & + &
x & (\operatorname{d}x)\ \operatorname{d}y & + &
((x, y)) & \operatorname{d}x\ \operatorname{d}y \\
((x, y)) & \operatorname{d}x\ \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
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<math>\begin{smallmatrix}
<math>\begin{smallmatrix}
\operatorname{d}x\ (\operatorname{d}y) & + &
(\operatorname{d}x)\ \operatorname{d}y \\
\operatorname{d}x\ (\operatorname{d}y) & + &
(\operatorname{d}x)\ \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
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<math>\begin{smallmatrix}
<math>\begin{smallmatrix}
\partial x & + & \partial y \\
\partial x & + & \partial y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
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{| align="center"
{| align="center"
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<math>\begin{smallmatrix}
f_{5} \\
f_{10} \\
\end{smallmatrix}</math>
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{| align="center"
{| align="center"
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<math>\begin{smallmatrix}
(y) \\
y \\
\end{smallmatrix}</math>
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<math>\begin{smallmatrix}
<math>\begin{smallmatrix}
(\operatorname{d}x)\ \operatorname{d}y & + &
\operatorname{d}x\ \operatorname{d}y \\
(\operatorname{d}x)\ \operatorname{d}y & + &
\operatorname{d}x\ \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
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<math>\begin{smallmatrix}
<math>\begin{smallmatrix}
\partial y \\
\partial y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
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