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binary_operation [2015/02/02 19:09] nikolaj |
binary_operation [2015/04/12 15:56] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $X$ | | | @#55CCEE: context | @#55CCEE: $X$ | | ||
| + | | @#FFBB00: definiendum | @#FFBB00: $*\in$ it | | ||
| + | | @#55EE55: postulate | @#55EE55: $*:X\times X\to X$ | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $ *\in \text{it}(X) $ | | + | ----- |
| - | + | === Elaboration === | |
| - | | @#55EE55: postulate | @#55EE55: $ *:X\times X\to X $ | | + | |
| - | + | ||
| - | ==== Discussion ==== | + | |
| This is a binary function with which takes elements of $X$ to an element of $X$ itself. | This is a binary function with which takes elements of $X$ to an element of $X$ itself. | ||
| - | Also ee Reference for classifications of binary operations, like "commutative", "associative", etc. | ||
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Binary_operation|Binary operation]] | Wikipedia: [[http://en.wikipedia.org/wiki/Binary_operation|Binary operation]] | ||
