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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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+ +| height="36px" | <math>f_{5}\!</math>+|-+| height="36px" | <math>f_{10}\!</math>+| height="36px" | <math>(y)\!</math>+|-+| height="36px" | <math>y\!</math>+ + +
|
|
<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"
−|-
+|
−<math>\begin{smallmatrix}
−f_{5} \\
−f_{10} \\
+\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
−|-
+|
−<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>
|}
|}
