Distance Functions

In analysis, a distance function (also called a metric) on a set of points is a function with four properties; suppose :
1. (non-negativity)
2. if and only if (identity of indiscernibles)
3. (symmetry)
4. (triangle inequality)
Mathematica 7 comes with a variety of built-in distance functions. This Demonstration selects points within a given distance from a locator, using one of these distance functions.



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