| Line 60: | Line 60: | 
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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== |