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Directory talk:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
Revision as of 02:30, 26 April 2012
, 02:30, 26 April 2012→Table Work
| <math>\operatorname{a}</math>
| <math>\operatorname{a}</math>
| <math>\operatorname{b}</math>
| <math>\operatorname{b}</math>
|}
<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:60%"
|+ <math>\text{Table 34.2}~~\text{Regular Representation of the Group}~Z_4(\cdot)</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"
| width="20%" style="border-right:1px solid black" | <math>\operatorname{1}</math>
| width="4%" | <math>\{\!</math>
| width="16%" | <math>(\operatorname{1}, \operatorname{1}),</math>
| width="20%" | <math>(\operatorname{a}, \operatorname{a}),</math>
| width="20%" | <math>(\operatorname{b}, \operatorname{b}),</math>
| width="16%" | <math>(\operatorname{c}, \operatorname{c})</math>
| width="4%" | <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{a}</math>
| <math>\{\!</math>
| <math>(\operatorname{1}, \operatorname{a}),</math>
| <math>(\operatorname{a}, \operatorname{b}),</math>
| <math>(\operatorname{b}, \operatorname{c}),</math>
| <math>(\operatorname{c}, \operatorname{1})</math>
| <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{b}</math>
| <math>\{\!</math>
| <math>(\operatorname{1}, \operatorname{b}),</math>
| <math>(\operatorname{a}, \operatorname{c}),</math>
| <math>(\operatorname{b}, \operatorname{1}),</math>
| <math>(\operatorname{c}, \operatorname{a})</math>
| <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{c}</math>
| <math>\{\!</math>
| <math>(\operatorname{1}, \operatorname{c}),</math>
| <math>(\operatorname{a}, \operatorname{1}),</math>
| <math>(\operatorname{b}, \operatorname{a}),</math>
| <math>(\operatorname{c}, \operatorname{b})</math>
| <math>\}\!</math>
|}
|}