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Directory:Jon Awbrey/Papers/Cactus Language
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Revision as of 18:29, 28 May 2009
961 bytes removed
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18:29, 28 May 2009
→Note 2
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ASCII → JPEG
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| align="center" |
| align="center" |
<math>x ~\operatorname{and}~ y \quad \xrightarrow{~\operatorname{Diff}~} \quad dx ~\operatorname{or}~ dy</math>
<math>x ~\operatorname{and}~ y \quad \xrightarrow{~\operatorname{Diff}~} \quad dx ~\operatorname{or}~ dy</math>
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}
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{| align="center" cellpadding="6" width="90%"
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<pre>
<pre>
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{| align="center" cellpadding="6" width="90%"
{| align="center" cellpadding="6" width="90%"
| align="center" |
| align="center" |
−
<math>f ~=~ xy ~=~ x ~\operatorname{and}~ y
~
\Rightarrow
~
\operatorname{D}f|_{xy} ~=~ \texttt{((} \operatorname{dx} \texttt{)(} \operatorname{d}y \texttt{))} ~=~ \operatorname{d}x ~\operatorname{or}~ \operatorname{d}y.</math>
+
<math>f
(x, y)
~=~ xy ~=~ x ~\operatorname{and}~ y
\quad
\Rightarrow
\quad
\operatorname{D}f|_{xy} ~=~ \texttt{((} \operatorname{dx} \texttt{)(} \operatorname{d}y \texttt{))} ~=~ \operatorname{d}x ~\operatorname{or}~ \operatorname{d}y.</math>
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| align="center" | [[Image:Venn Diagram Difference Conj At Conj.jpg|500px]]
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|-
| align="center" |
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<pre>
<pre>
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| o x o`````o`````o y o |
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Jon Awbrey
12,089
edits