(New page: Metric Space (X,d) <math>d:X \times X \rightarrow \Re ^{+}</math> X is set, not necessarily vector space <math>x, y, z \in X</math> 1. <math>d(x,y)=d(y,x)</math> 2. <math>d(x,z)\leq d(...) |
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Revision as of 12:37, 7 April 2008
Metric Space (X,d) $ d:X \times X \rightarrow \Re ^{+} $
X is set, not necessarily vector space
$ x, y, z \in X $
1. $ d(x,y)=d(y,x) $
2. $ d(x,z)\leq d(x,y)+d(y,z) $
3. $ d(x,y \geq 0, d(x,y)=0 \Leftrightarrow x=y) $
