Differences
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metric [2014/03/21 11:11] 127.0.0.1 external edit |
metric [2014/11/20 13:00] nikolaj |
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| ===== Metric ===== | ===== Metric ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $ X $ | | + | | @#55CCEE: context | @#55CCEE: $ X $ ... set | |
| - | + | | @#FFBB00: definiendum | @#FFBB00: $d\in$ it | | |
| - | | @#FFBB00: definiendum | @#FFBB00: $d\in \text{Metric}(X)$ | | + | |
| | @#55EE55: postulate | @#55EE55: $d:X\times X \to \mathbb{R}_+$ | | | @#55EE55: postulate | @#55EE55: $d:X\times X \to \mathbb{R}_+$ | | ||
| - | |||
| | @#55EE55: postulate | @#55EE55: $ d(x,y)=0 \implies x=y$ | | | @#55EE55: postulate | @#55EE55: $ d(x,y)=0 \implies x=y$ | | ||
| | @#55EE55: postulate | @#55EE55: $ d(x,y)=d(y,x)$ | | | @#55EE55: postulate | @#55EE55: $ d(x,y)=d(y,x)$ | | ||
