MyWikiBiz, Author Your Legacy — Monday November 25, 2024
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, 19:57, 12 November 2012
Line 6,376: |
Line 6,376: |
| \\[4pt] | | \\[4pt] |
| \operatorname{d}_\text{n} * \operatorname{d}_\text{m} | | \operatorname{d}_\text{n} * \operatorname{d}_\text{m} |
| + | \end{matrix}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%" |
| + | |+ style="height:30px" | |
| + | <math>\text{Table 71.3} ~~ \text{Cosets of} ~ G_\text{n} ~ \text{in} ~ G\!</math> |
| + | |- style="background:#f0f0ff" |
| + | | width="25%" | <math>\text{Group Coset}\!</math> |
| + | | width="25%" | <math>\text{Logical Coset}\!</math> |
| + | | width="25%" | <math>\text{Logical Element}\!</math> |
| + | | width="25%" | <math>\text{Group Element}\!</math> |
| + | |- |
| + | | <math>G_\text{n}\!</math> |
| + | | <math>(\operatorname{d}\text{n})\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (\operatorname{d}\text{m})(\operatorname{d}\text{n}) |
| + | \\[4pt] |
| + | ~\operatorname{d}\text{m}~(\operatorname{d}\text{n}) |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | 1 |
| + | \\[4pt] |
| + | \operatorname{d}_\text{m} |
| + | \end{matrix}</math> |
| + | |- |
| + | | <math>G_\text{n} * \operatorname{d}_\text{n}\!</math> |
| + | | <math>\operatorname{d}\text{n}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (\operatorname{d}\text{m})~\operatorname{d}\text{n}~ |
| + | \\[4pt] |
| + | ~\operatorname{d}\text{m}~~\operatorname{d}\text{n}~ |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | \operatorname{d}_\text{n} |
| + | \\[4pt] |
| + | \operatorname{d}_\text{m} * \operatorname{d}_\text{n} |
| \end{matrix}</math> | | \end{matrix}</math> |
| |} | | |} |