MyWikiBiz, Author Your Legacy — Monday November 25, 2024
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406 bytes added
, 03:38, 11 April 2009
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
| | | | | |
− | <math>\begin{array}{*{15}{c}} | + | <math>\begin{array}{*{9}{c}} |
| \mathbf{1,\!,} | | \mathbf{1,\!,} |
| & = & \mathrm{B}\!:\!\mathrm{B}\!:\!\mathrm{B} | | & = & \mathrm{B}\!:\!\mathrm{B}\!:\!\mathrm{B} |
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| |} | | |} |
| | | |
− | Assuming the associativity of multiplication among 2-adic relatives, we may compute the product m,b,r by a brute force method as follows: | + | Assuming the associativity of multiplication among 2-adic relatives, we may compute the product <math>\mathrm{m,}\mathrm{b,}\mathrm{r}\!</math> by a brute force method as follows: |
| | | |
− | :{| cellpadding="4"
| + | {| align="center" cellspacing="6" width="90%" |
− | | m,b,r | + | | |
− | | =
| + | <math>\begin{array}{lll} |
− | | (C:C +, I:I +, J:J +, O:O)(O:O)(D +, O)
| + | \mathrm{m,}\mathrm{b,}\mathrm{r} |
− | |-
| + | & = & |
− | |
| + | (\mathrm{C}\!:\!\mathrm{C} ~+\!\!,~ \mathrm{I}\!:\!\mathrm{I} ~+\!\!,~ \mathrm{J}\!:\!\mathrm{J} ~+\!\!,~ \mathrm{O}\!:\!\mathrm{O})(\mathrm{O}\!:\!\mathrm{O})(\mathrm{D} ~+\!\!,~ \mathrm{O}) |
− | | =
| + | \\[6pt] |
− | | (C:C +, I:I +, J:J +, O:O)(O)
| + | & = & |
− | |-
| + | (\mathrm{C}\!:\!\mathrm{C} ~+\!\!,~ \mathrm{I}\!:\!\mathrm{I} ~+\!\!,~ \mathrm{J}\!:\!\mathrm{J} ~+\!\!,~ \mathrm{O}\!:\!\mathrm{O})(\mathrm{O}) |
− | |
| + | \\[6pt] |
− | | =
| + | & = & |
− | | O
| + | \mathrm{O} |
| + | \end{array}</math> |
| |} | | |} |
| | | |