Product set/Chess board/Example
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![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/a7/Chess_board_blank.svg/230px-Chess_board_blank.svg.png)
A chess board (meaning the set of squares of a chess board where a chess piece may stand) is the product set . Every square is a pair, e.g. . Because the two component sets are different, one may write instead of pair notation simply . This notation is the starting point to describe chess positions, and complete chess games.