MyWikiBiz, Author Your Legacy — Saturday April 27, 2024
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741 bytes added
, 18:08, 11 June 2009
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| <pre> | | <pre> |
− | Permutations or Substitutions in Sym_{A, B, C}
| + | Permutation Substitutions in Sym {A, B, C} |
| o---------o---------o---------o---------o---------o---------o | | o---------o---------o---------o---------o---------o---------o |
| | | | | | | | | | | | | | | | | |
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| | | | | | | | | | | | | | | | | |
| | A B C | C A B | B C A | A C B | C B A | B A C | | | | A B C | C A B | B C A | A C B | C B A | B A C | |
| + | | | | | | | | |
| + | o---------o---------o---------o---------o---------o---------o |
| + | </pre> |
| + | |
| + | <pre> |
| + | Matrix Representations of Permutations in Sym(3) |
| + | o---------o---------o---------o---------o---------o---------o |
| + | | | | | | | | |
| + | | e | f | g | h | i | j | |
| + | | | | | | | | |
| + | o=========o=========o=========o=========o=========o=========o |
| + | | | | | | | | |
| + | | 1 0 0 | 0 0 1 | 0 1 0 | 1 0 0 | 0 0 1 | 0 1 0 | |
| + | | 0 1 0 | 1 0 0 | 0 0 1 | 0 0 1 | 0 1 0 | 1 0 0 | |
| + | | 0 0 1 | 0 1 0 | 1 0 0 | 0 1 0 | 1 0 0 | 0 0 1 | |
| | | | | | | | | | | | | | | | | |
| o---------o---------o---------o---------o---------o---------o | | o---------o---------o---------o---------o---------o---------o |