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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)

Revision as of 19:26, 17 June 2008

8,684 bytes added ,  19:26, 17 June 2008
→‎Detail of Calculation for the Difference Map: add dummy filler
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| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
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  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|-
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
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+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
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+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|-
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
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  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|-
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|-
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
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<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
|
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|
 
|
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|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|-
 
|-
 
| height="36px" |
 
| height="36px" |
 +
<math>\begin{matrix}
 +
  &  x  &  y  & \operatorname{d}x & \operatorname{d}y \\
 +
+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\
 +
\end{matrix}</math>
 
|}
 
|}
 
|- style="height:36px"
 
|- style="height:36px"
Jon Awbrey
12,080

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