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Directory talk:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)

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<~~pre~~>

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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%"

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Table 35.2 Regular Representation of the Group Z4(+)

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|+ <math>\text{Table 35.2}~~\text{Regular Representation of the Group}~Z_4(+)</math>

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Element Function as Set of Ordered Pairs of Elements

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|- style="height:50px"

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0 { <0, 0>, <1, 1>, <2, 2>, <3, 3> }

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| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>

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1 { <0, 1>, <1, 2>, <2, 3>, <3, 0> }

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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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2 { <0, 2>, <1, 3>, <2, 0>, <3, 1> }

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|- style="height:50px"

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3 { <0, 3>, <1, 0>, <2, 1>, <3, 2> }

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| width="20%" style="border-right:1px solid black" | <math>\operatorname{0}</math>

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<~~/pre~~>

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| width="4%" | <math>\{\!</math>

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| width="16%" | <math>(\operatorname{0}, \operatorname{0}),</math>

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| width="20%" | <math>(\operatorname{1}, \operatorname{1}),</math>

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| width="20%" | <math>(\operatorname{2}, \operatorname{2}),</math>

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| width="16%" | <math>(\operatorname{3}, \operatorname{3})</math>

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| width="4%" | <math>\}\!</math>

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|- style="height:50px"

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| style="border-right:1px solid black" | <math>\operatorname{1}</math>

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| <math>\{\!</math>

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| <math>(\operatorname{0}, \operatorname{1}),</math>

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| <math>(\operatorname{1}, \operatorname{2}),</math>

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| <math>(\operatorname{2}, \operatorname{3}),</math>

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| <math>(\operatorname{3}, \operatorname{0})</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>\operatorname{2}</math>

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| <math>\{\!</math>

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| <math>(\operatorname{0}, \operatorname{2}),</math>

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| <math>(\operatorname{1}, \operatorname{3}),</math>

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| <math>(\operatorname{2}, \operatorname{0}),</math>

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| <math>(\operatorname{3}, \operatorname{1})</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>\operatorname{3}</math>

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| <math>\{\!</math>

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| <math>(\operatorname{0}, \operatorname{3}),</math>

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| <math>(\operatorname{1}, \operatorname{0}),</math>

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| <math>(\operatorname{2}, \operatorname{1}),</math>

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| <math>(\operatorname{3}, \operatorname{2})</math>

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| <math>\}\!</math>

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|}

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<br>

Jon Awbrey

12,080

edits