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function [2014/10/26 13:57] nikolaj |
function [2014/10/26 13:58] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $X,Y$ | | | @#55CCEE: context | @#55CCEE: $X,Y$ | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $ f\in Y^X $ | | + | | @#FFBB00: definiendum | @#FFBB00: $f\in Y^X $ | |
| - | | @#AAFFAA: inclusion | @#AAFFAA: $ f\in\mathrm{PartialFunction}(X,Y) $ | | + | | @#AAFFAA: inclusion | @#AAFFAA: $f\in$ partial function$(X,Y)$ | |
| | @#55EE55: postulate | @#55EE55: $\bigcup\pi_1(f)=X $ | | | @#55EE55: postulate | @#55EE55: $\bigcup\pi_1(f)=X $ | | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | One defines $\mathrm{dom}(f):=\bigcup\pi_1(f)$ | + | One defines $\mathrm{dom}(f):=\bigcup\pi_1(f)$. |
| The requirement $\mathrm{dom}(f)=X$ just says that the function must make sense for all inputs. | The requirement $\mathrm{dom}(f)=X$ just says that the function must make sense for all inputs. | ||
