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`hat D(f,g) := Prob{exists x_i, f(x_i) != g(x_i)} = 1 - (1 - D(f,g))^n`is a metric
Random projection almost always preserves Hausdorff dimension
`{p_1} subset {p_1, p_2} subset {p_1,p_2,p_3} subset...U`