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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)
Revision as of 20:22, 18 June 2008
, 20:22, 18 June 2008→Detail of Calculation for the Difference Map: fill table
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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 \\
= & & & \operatorname{d}x & \operatorname{d}y \\
= & 0 & \operatorname{d}x & \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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 \\
= & & & \operatorname{d}x & \operatorname{d}y \\
= & 0 & \operatorname{d}x & \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|}
|}
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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) \\
= & & & \operatorname{d}x & (\operatorname{d}y) \\
= & 1 & \operatorname{d}x & (\operatorname{d}y) \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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) \\
= & & & \operatorname{d}x & (\operatorname{d}y) \\
= & 1 & \operatorname{d}x & (\operatorname{d}y) \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|}
|}
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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 \\
= & & & (\operatorname{d}x) & \operatorname{d}y \\
= & 1 & (\operatorname{d}x) & \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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 \\
= & & & (\operatorname{d}x) & \operatorname{d}y \\
= & 1 & (\operatorname{d}x) & \operatorname{d}y \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|}
|}
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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) \\
= & & & (\operatorname{d}x) & (\operatorname{d}y) \\
= & 0 & (\operatorname{d}x) & (\operatorname{d}y) \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|-
|-
| height="60px" |
| height="60px" |
<math>\begin{smallmatrix}
<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) \\
= & & & (\operatorname{d}x) & (\operatorname{d}y) \\
= & 0 & (\operatorname{d}x) & (\operatorname{d}y) \\
\end{smallmatrix}</math>
\end{smallmatrix}</math>
|}
|}