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User:Jon Awbrey/TABLE (view source)

Revision as of 12:29, 25 April 2012

4,647 bytes added ,  12:29, 25 April 2012
+ Group Operation Tables
Line 6,331: Line 6,331:  
\end{tabular}\end{quote}
 
\end{tabular}\end{quote}
 
</pre>
 
</pre>
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 +
==Group Operation Tables==
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 +
<br>
 +
 +
{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center; width:80%"
 +
|+ <math>\text{Table 32.1}~~\text{Scheme of a Group Operation Table}</math>
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|- style="height:50px"
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| style="border-bottom:1px solid black; border-right:1px solid black" | <math>*\!</math>
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| style="border-bottom:1px solid black" | <math>x_0\!</math>
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| style="border-bottom:1px solid black" | <math>\cdots\!</math>
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| style="border-bottom:1px solid black" | <math>x_j\!</math>
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| style="border-bottom:1px solid black" | <math>\cdots\!</math>
 +
|- style="height:50px"
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| style="border-right:1px solid black" | <math>x_0\!</math>
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| <math>x_0 * x_0\!</math>
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| <math>\cdots\!</math>
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| <math>x_0 * x_j\!</math>
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| <math>\cdots\!</math>
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|- style="height:50px"
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| style="border-right:1px solid black" | <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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|- style="height:50px"
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| style="border-right:1px solid black" | <math>x_i\!</math>
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| <math>x_i * x_0\!</math>
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| <math>\cdots\!</math>
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| <math>x_i * x_j\!</math>
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| <math>\cdots\!</math>
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|- style="height:50px"
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| width="12%" style="border-right:1px solid black" | <math>\cdots\!</math>
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| width="22%" | <math>\cdots\!</math>
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| width="22%" | <math>\cdots\!</math>
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| width="22%" | <math>\cdots\!</math>
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| width="22%" | <math>\cdots\!</math>
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|}
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 +
<br>
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 +
{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center; width:80%"
 +
|+ <math>\text{Table 32.2}~~\text{Scheme of the Regular Ante-Representation}</math>
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|- style="height:50px"
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| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
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| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Elements}\!</math>
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|- style="height:50px"
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| style="border-right:1px solid black" | <math>x_0\!</math>
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| <math>\{\!</math>
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| <math>(x_0 ~,~ x_0 * x_0),\!</math>
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| <math>\cdots\!</math>
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| <math>(x_j ~,~ x_0 * x_j),\!</math>
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| <math>\cdots\!</math>
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| <math>\}\!</math>
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|- style="height:50px"
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| style="border-right:1px solid black" | <math>\cdots\!</math>
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| <math>\{\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\cdots\!</math>
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| <math>\}\!</math>
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|- style="height:50px"
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| style="border-right:1px solid black" | <math>x_i\!</math>
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| <math>\{\!</math>
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| <math>(x_0 ~,~ x_i * x_0),\!</math>
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| <math>\cdots\!</math>
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| <math>(x_j ~,~ x_i * x_j),\!</math>
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| <math>\cdots\!</math>
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| <math>\}\!</math>
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|- style="height:50px"
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| width="12%" style="border-right:1px solid black" | <math>\cdots\!</math>
 +
| width="4%"  | <math>\{\!</math>
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| width="18%" | <math>\cdots\!</math>
 +
| width="22%" | <math>\cdots\!</math>
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| width="22%" | <math>\cdots\!</math>
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| width="18%" | <math>\cdots\!</math>
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| width="4%"  | <math>\}\!</math>
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|}
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 +
<br>
 +
 +
{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center; width:80%"
 +
|+ <math>\text{Table 32.3}~~\text{Scheme of the Regular Post-Representation}</math>
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|- style="height:50px"
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| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
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| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Elements}\!</math>
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|- style="height:50px"
 +
| style="border-right:1px solid black" | <math>x_0\!</math>
 +
| <math>\{\!</math>
 +
| <math>(x_0 ~,~ x_0 * x_0),\!</math>
 +
| <math>\cdots\!</math>
 +
| <math>(x_j ~,~ x_j * x_0),\!</math>
 +
| <math>\cdots\!</math>
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| <math>\}\!</math>
 +
|- style="height:50px"
 +
| style="border-right:1px solid black" | <math>\cdots\!</math>
 +
| <math>\{\!</math>
 +
| <math>\cdots\!</math>
 +
| <math>\cdots\!</math>
 +
| <math>\cdots\!</math>
 +
| <math>\cdots\!</math>
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| <math>\}\!</math>
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|- style="height:50px"
 +
| style="border-right:1px solid black" | <math>x_i\!</math>
 +
| <math>\{\!</math>
 +
| <math>(x_0 ~,~ x_0 * x_i),\!</math>
 +
| <math>\cdots\!</math>
 +
| <math>(x_j ~,~ x_j * x_i),\!</math>
 +
| <math>\cdots\!</math>
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| <math>\}\!</math>
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|- style="height:50px"
 +
| width="12%" style="border-right:1px solid black" | <math>\cdots\!</math>
 +
| width="4%"  | <math>\{\!</math>
 +
| width="18%" | <math>\cdots\!</math>
 +
| width="22%" | <math>\cdots\!</math>
 +
| width="22%" | <math>\cdots\!</math>
 +
| width="18%" | <math>\cdots\!</math>
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| width="4%"  | <math>\}\!</math>
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|}
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 +
<br>
    
==Higher Order Propositions==
 
==Higher Order Propositions==
Jon Awbrey
12,080

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