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Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.

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What is the distribution of the maximum nearest-neighbor distance of a point cloud sampled f...

You can make the calculations for a cube with the $L_\infty$ distance and the uniform distribution and you simplify the problem a little bit by letting $X_i$ be independent of $Y_i$ you can say the f …
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