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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) $

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