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:<math>\mathbf{B}_{r}(x) := \{ z \in X | d(x, z) < r \}.</math>
==Christensen
As it turns out, uniformly distributed measures are very rigid objects. On any
Let ''μ'' and ''ν'' be uniformly distributed Borel regular measures on a [[separable space|separable]] metric space (''X'', ''d''). Then there is a constant ''c'' such that ''μ'' = ''cν''.
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