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| : In a group written additively, the multiple <math>nx\!</math> is defined for every integer <math>n\!</math> by letting <math>nx = (-n)(-x)\!</math> for <math>n < 0\!</math> and proceeding the same way for <math>n \ge 0.\!</math> | | : In a group written additively, the multiple <math>nx\!</math> is defined for every integer <math>n\!</math> by letting <math>nx = (-n)(-x)\!</math> for <math>n < 0\!</math> and proceeding the same way for <math>n \ge 0.\!</math> |
| + | |
| + | ==Set Displays== |
| + | |
| + | {| align="center" cellspacing="8" width="90%" |
| + | | |
| + | <math>\begin{smallmatrix} |
| + | \text{A} |
| + | & = & |
| + | \{ & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots, & |
| + | (\text{A}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & , & |
| + | (\text{B}, {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{B} {}^{\prime\prime}), |
| + | & \ldots, & |
| + | (\text{B}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime}) |
| + | & \} |
| + | \\[10pt] |
| + | \text{B} |
| + | & = & |
| + | \{ & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots, & |
| + | (\text{A}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime}) |
| + | & , & |
| + | (\text{B}, {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{B} {}^{\prime\prime}), |
| + | & \ldots, & |
| + | (\text{B}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & \} |
| + | \end{smallmatrix}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | {| align="center" cellspacing="8" width="90%" |
| + | | |
| + | <math>\begin{matrix} |
| + | \text{A} |
| + | & = & \{ & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots & |
| + | \{ (\text{A}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & , |
| + | \\ |
| + | & & & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots & |
| + | \{ (\text{A}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & \} |
| + | \\ |
| + | \text{A} |
| + | & = & \{ & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots & |
| + | \{ (\text{A}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & , |
| + | \\ |
| + | & & & |
| + | (\text{A}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{A} {}^{\prime\prime}), |
| + | & \ldots & |
| + | \{ (\text{A}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime}) |
| + | & \} |
| + | \end{matrix}</math> |
| + | |} |
| | | |
| ==Table Work== | | ==Table Work== |