Changes

MyWikiBiz, Author Your Legacy — Monday November 25, 2024
Jump to navigationJump to search
Line 5,703: Line 5,703:     
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>
 +
 +
===Commentary Note 12.5===
 +
 +
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:
 +
 +
{| align="center" cellspacing="6" width="90%"
 +
| <math>(\mathfrak{S}^\mathfrak{L})^\mathfrak{W} ~=~ \mathfrak{S}^{\mathfrak{L}\mathfrak{W}}</math>
 +
|}
    
==References==
 
==References==
12,080

edits

Navigation menu