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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)
Revision as of 19:50, 17 June 2008
, 19:50, 17 June 2008→Work Area: try \smallmatrix
| <math>\operatorname{E}f|_{(\operatorname{d}x)\ \operatorname{d}y}</math><br><math>+ f|_{(\operatorname{d}x)\ \operatorname{d}y}</math>
| <math>\operatorname{E}f|_{(\operatorname{d}x)\ \operatorname{d}y}</math><br><math>+ f|_{(\operatorname{d}x)\ \operatorname{d}y}</math>
| <math>\operatorname{E}f|_{(\operatorname{d}x) (\operatorname{d}y)}</math><br><math>+ f|_{(\operatorname{d}x) (\operatorname{d}y)}</math>
| <math>\operatorname{E}f|_{(\operatorname{d}x) (\operatorname{d}y)}</math><br><math>+ f|_{(\operatorname{d}x) (\operatorname{d}y)}</math>
|- style="height:36px"
|- style="height:40px"
| <math>f_{0}\!</math>
| <math>f_{0}\!</math>
| <math>0 + 0\!</math>
| <math>0 + 0\!</math>
{| align="center"
{| align="center"
|-
|-
| height="36px" | <math>f_{1}\!</math>
| height="40px" | <math>f_{1}\!</math>
|-
|-
| height="36px" | <math>f_{2}\!</math>
| height="40px" | <math>f_{2}\!</math>
|-
|-
| height="36px" | <math>f_{4}\!</math>
| height="40px" | <math>f_{4}\!</math>
|-
|-
| height="36px" | <math>f_{8}\!</math>
| height="40px" | <math>f_{8}\!</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|-
|-
{| align="center"
{| align="center"
|-
|-
| height="36px" | <math>f_{3}\!</math>
| height="40px" | <math>f_{3}\!</math>
|-
|-
| height="36px" | <math>f_{12}\!</math>
| height="40px" | <math>f_{12}\!</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|-
|-
{| align="center"
{| align="center"
|-
|-
| height="36px" | <math>f_{6}\!</math>
| height="40px" | <math>f_{6}\!</math>
|-
|-
| height="36px" | <math>f_{9}\!</math>
| height="40px" | <math>f_{9}\!</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|-
|-
{| align="center"
{| align="center"
|-
|-
| height="36px" | <math>f_{5}\!</math>
| height="40px" | <math>f_{5}\!</math>
|-
|-
| height="36px" | <math>f_{10}\!</math>
| height="40px" | <math>f_{10}\!</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|-
|-
{| align="center"
{| align="center"
|-
|-
| height="36px" | <math>f_{7}\!</math>
| height="40px" | <math>f_{7}\!</math>
|-
|-
| height="36px" | <math>f_{11}\!</math>
| height="40px" | <math>f_{11}\!</math>
|-
|-
| height="36px" | <math>f_{13}\!</math>
| height="40px" | <math>f_{13}\!</math>
|-
|-
| height="36px" | <math>f_{14}\!</math>
| height="40px" | <math>f_{14}\!</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|
|
{| align="center"
{| align="center"
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="36px" |
| height="40px" |
<math>\begin{matrix}
<math>\begin{smallmatrix}
& x & y & \operatorname{d}x & \operatorname{d}y \\
& x & y & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
\end{matrix}</math>
\end{smallmatrix}</math>
|}
|}
|- style="height:36px"
|- style="height:40px"
| <math>f_{15}\!</math>
| <math>f_{15}\!</math>
| <math>1 + 1\!</math>
| <math>1 + 1\!</math>