MyWikiBiz, Author Your Legacy — Monday November 25, 2024
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17 bytes removed
, 03:29, 6 May 2009
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− | But doing the same thing for the compound relative term <math>(\mathit{s}^\mathit{l})^\mathrm{w}\!</math> is less immediate, the hang-up being that we have yet to define the case of logical involution that raises a 2-adic relative term to the power of a 2-adic relative term.
| + | On the other hand, translating the compound relative term <math>(\mathit{s}^\mathit{l})^\mathrm{w}\!</math> into a set-theoretic equivalent is less immediate, the hang-up being that we have yet to define the case of logical involution that raises a 2-adic relative term to the power of a 2-adic relative term. As a result, it looks easier to proceed through the matrix representation, drawing once again on the inspection of a concrete example. |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
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| <math>\begin{array}{*{15}{c}} | | <math>\begin{array}{*{15}{c}} |
| X & = & \{ & a, & b, & c, & d, & e, & f, & g, & h, & i\ & \} | | X & = & \{ & a, & b, & c, & d, & e, & f, & g, & h, & i\ & \} |
− | \\[6pt]
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− | W & = & \{ & d, & f\ & \}
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| \\[6pt] | | \\[6pt] |
| L & = & \{ & b\!:\!a, & b\!:\!c, & c\!:\!b, & c\!:\!d, & e\!:\!d, & e\!:\!e, & e\!:\!f, & g\!:\!f, & g\!:\!h, & h\!:\!g, & h\!:\!i & \} | | L & = & \{ & b\!:\!a, & b\!:\!c, & c\!:\!b, & c\!:\!d, & e\!:\!d, & e\!:\!e, & e\!:\!f, & g\!:\!f, & g\!:\!h, & h\!:\!g, & h\!:\!i & \} |
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| <pre> | | <pre> |
| a b c d e f g h i | | a b c d e f g h i |
− | o o o o o o o o o X
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− | | | W,
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| o o o o o o o o o X | | o o o o o o o o o X |
| \ \ / / \ | / \ \ / / | | \ \ / / \ | / \ \ / / |