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binary_function [2013/09/06 22:04] 127.0.0.1 external edit |
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| ===== Binary function ===== | ===== Binary function ===== | ||
| ==== Definition ==== | ==== Definition ==== | ||
| - | | $X,Y$ | | + | | @#88DDEE: $X,Y$ | |
| - | ^ $ f\in \text{binaryFunc}(X,Y) $ ^ | + | | @#FFBB00: $ f\in \text{it}(X,Y) $ ^ |
| - | | $ f:X\times X\to Y $ | | + | | @#55EE55: $ f:X\times X\to Y $ | |
| - | + | ||
| - | ==== Ramifications ==== | + | |
| - | === Discussion === | + | |
| - | The set of binary function on $X$ to $Y$. | + | |
| - | + | ||
| - | See Reference for classifications of binary operations, like "commutative", "associative", etc. | + | |
| - | === Reference === | + | |
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Binary_operation|Binary operation]] | + | |
| + | ==== Discussion ==== | ||
| ==== Parents ==== | ==== Parents ==== | ||
| - | Set constructor | ||
| === Subset of === | === Subset of === | ||
| [[Function]] | [[Function]] | ||
