MyWikiBiz, Author Your Legacy — Monday November 25, 2024
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, 16:20, 6 May 2009
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| In other words, <math>(\mathfrak{S}^\mathfrak{L})_{uv} = 0</math> if and only if there exists an <math>x \in X</math> such that <math>\mathfrak{S}_{ux} = 0</math> and <math>\mathfrak{L}_{xv} = 1.</math> | | In other words, <math>(\mathfrak{S}^\mathfrak{L})_{uv} = 0</math> if and only if there exists an <math>x \in X</math> such that <math>\mathfrak{S}_{ux} = 0</math> and <math>\mathfrak{L}_{xv} = 1.</math> |
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| + | ===Commentary Note 12.5=== |
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| + | The equation <math>(\mathit{s}^\mathit{l})^\mathrm{w} = \mathit{s}^{\mathit{l}\mathrm{w}}\!</math> can be verified by establishing the corresponding equation in matrices: |
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| + | {| align="center" cellspacing="6" width="90%" |
| + | | <math>(\mathfrak{S}^\mathfrak{L})^\mathfrak{W} ~=~ \mathfrak{S}^{\mathfrak{L}\mathfrak{W}}</math> |
| + | |} |
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| ==References== | | ==References== |