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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)
Revision as of 18:42, 18 June 2008
, 18:42, 18 June 2008→Detail of Calculation for the Difference Map: extend table
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
|+ '''Detail of Calculation for <math>\operatorname{D}f = \operatorname{E}f + f</math>'''
|+ '''Detail of Calculation for <math>\operatorname{D}f = \operatorname{E}f + f</math>'''
|- style="background:ghostwhite; height:36px"
|- style="background:ghostwhite; height:60px"
|
|
| <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>\begin{array}{cr}
| <math>\operatorname{E}f|_{(\operatorname{d}x)\ \operatorname{d}y}</math><br><math>+ f|_{(\operatorname{d}x)\ \operatorname{d}y}</math>
& \operatorname{E}f|_{\operatorname{d}x\ \operatorname{d}y} \\
| <math>\operatorname{E}f|_{(\operatorname{d}x) (\operatorname{d}y)}</math><br><math>+ f|_{(\operatorname{d}x) (\operatorname{d}y)}</math>
+ & f|_{\operatorname{d}x\ \operatorname{d}y} \\
= & \operatorname{D}f|_{\operatorname{d}x\ \operatorname{d}y} \\
\end{array}</math>
|
<math>\begin{array}{cr}
& \operatorname{E}f|_{\operatorname{d}x\ (\operatorname{d}y)} \\
+ & f|_{\operatorname{d}x\ (\operatorname{d}y)} \\
= & \operatorname{D}f|_{\operatorname{d}x\ (\operatorname{d}y)} \\
\end{array}</math>
|
<math>\begin{array}{cr}
& \operatorname{E}f|_{(\operatorname{d}x)\ \operatorname{d}y} \\
+ & f|_{(\operatorname{d}x)\ \operatorname{d}y} \\
= & \operatorname{D}f|_{(\operatorname{d}x)\ \operatorname{d}y} \\
\end{array}</math>
|
<math>\begin{array}{cr}
& \operatorname{E}f|_{(\operatorname{d}x)(\operatorname{d}y)} \\
+ & f|_{(\operatorname{d}x)(\operatorname{d}y)} \\
= & \operatorname{D}f|_{(\operatorname{d}x)(\operatorname{d}y)} \\
\end{array}</math>
|- style="height:40px"
|- style="height:40px"
| <math>f_{0}\!</math>
| <math>f_{0}\!</math>
| <math>0 + 0\!</math>
| <math>0 + 0 = 0\!</math>
| <math>0 + 0\!</math>
| <math>0 + 0 = 0\!</math>
| <math>0 + 0\!</math>
| <math>0 + 0 = 0\!</math>
| <math>0 + 0\!</math>
| <math>0 + 0 = 0\!</math>
|-
|-
|
|
|- style="height:40px"
|- style="height:40px"
| <math>f_{15}\!</math>
| <math>f_{15}\!</math>
| <math>1 + 1\!</math>
| <math>1 + 1 = 0\!</math>
| <math>1 + 1\!</math>
| <math>1 + 1 = 0\!</math>
| <math>1 + 1\!</math>
| <math>1 + 1 = 0\!</math>
| <math>1 + 1\!</math>
| <math>1 + 1 = 0\!</math>
|}
|}
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