Team:KU Leuven/Modeling

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Modeling

Formally, A metric space is an ordered pair (M,d) where M is a set and d is a metric on M, i.e., a function d \colon M \times M \rightarrow \mathbb{R} such that for any x, y, z \in M, the following holds: d(x,y) = 0\, if and only if x = y\, (identity of indiscernibles), d(x,y) = d(y,x)\, (symmetry) and d(x,z) \le d(x,y) + d(y,z) (triangle inequality) . By taking the third property and letting z=x, it can be shown that d(x,y) \ge 0 (non-negative)

Model

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Simulations

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Results

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