# Method of Integer Measures

Method of Integer Measures

This Demonstration illustrates Benko's idea of "integer measures": Given positive real numbers ,…,, it is always possible to find integer weights ,…, such that whenever = for two subsets and of , then =. This claim is a consequence of the fact that the numbers ,…, can be approximated by rational numbers /q,…,/q with any given uniform accuracy. Here , +++=1, and the top control can be used to set the accuracy to 1/3, 1/4, or 1/5.

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{1,2,...,n}

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n=4

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