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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
Revision as of 01:36, 25 April 2012
, 01:36, 25 April 2012→6.6. Basic Notions of Group Theory: format table
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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:60%"
{| 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>
|+ <math>\text{Table 32.1}~~\text{Scheme of a Group Operation Table}</math>
|- style="height:50px"
|- style="height:50px"
| width="12%" style="border-bottom:1px solid black; border-right:1px solid black" | <math>*\!</math>
| style="border-bottom:1px solid black; border-right:1px solid black" | <math>*\!</math>
| width="22%" style="border-bottom:1px solid black" | <math>x_0\!</math>
| style="border-bottom:1px solid black" | <math>x_0\!</math>
| width="22%" style="border-bottom:1px solid black" | <math>\ldots\!</math>
| style="border-bottom:1px solid black" | <math>\cdots\!</math>
| width="22%" style="border-bottom:1px solid black" | <math>x_j\!</math>
| style="border-bottom:1px solid black" | <math>x_j\!</math>
| width="22%" style="border-bottom:1px solid black" | <math>\ldots\!</math>
| style="border-bottom:1px solid black" | <math>\cdots\!</math>
|- style="height:50px"
|- style="height:50px"
| style="border-right:1px solid black" | <math>x_0\!</math>
| style="border-right:1px solid black" | <math>x_0\!</math>
| <math>x_0 * x_0\!</math>
| <math>x_0 * x_0\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
| <math>x_0 * x_j\!</math>
| <math>x_0 * x_j\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
|- style="height:50px"
|- style="height:50px"
| style="border-right:1px solid black" | <math>\ldots\!</math>
| style="border-right:1px solid black" | <math>\cdots\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
|- style="height:50px"
|- style="height:50px"
| style="border-right:1px solid black" | <math>x_i\!</math>
| style="border-right:1px solid black" | <math>x_i\!</math>
| <math>x_i * x_0\!</math>
| <math>x_i * x_0\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
| <math>x_i * x_j\!</math>
| <math>x_i * x_j\!</math>
| <math>\ldots\!</math>
| <math>\cdots\!</math>
|- style="height:50px"
|- style="height:50px"
| style="border-right:1px solid black" | <math>\ldots\!</math>
| width="12%" style="border-right:1px solid black" | <math>\cdots\!</math>
| <math>\ldots\!</math>
| width="22%" | <math>\cdots\!</math>
| <math>\ldots\!</math>
| width="22%" | <math>\cdots\!</math>
| <math>\ldots\!</math>
| width="22%" | <math>\cdots\!</math>
| <math>\ldots\!</math>
| width="22%" | <math>\cdots\!</math>
|}
|}
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<pre>
{| 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%"
Table 32.2 Scheme of the Regular Ante-Representation
|+ <math>\text{Table 32.2}~~\text{Scheme of the Regular Ante-Representation}</math>
|- style="height:50px"
| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Elements}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>x_0\!</math>
</pre>
| <math>\{\!</math>
| <math>(x_0 ~,~ x_0 * x_0),\!</math>
| <math>\cdots\!</math>
| <math>(x_j ~,~ x_0 * x_j),\!</math>
| <math>\cdots\!</math>
| <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>
| <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>x_i\!</math>
| <math>\{\!</math>
| <math>(x_0 ~,~ x_i * x_0),\!</math>
| <math>\cdots\!</math>
| <math>(x_j ~,~ x_i * x_j),\!</math>
| <math>\cdots\!</math>
| <math>\}\!</math>
|- 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>
| width="4%" | <math>\}\!</math>
|}
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