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On Finding Optimal Partitions of Measurable Space

Marco Dall’Aglio; Jerzy Legut; Maciej Wilczyński — 2015

Mathematica Applicanda

We present an algorithm for finding almost optimal partitions of the unit interval [0; 1) according to given nonatomic measures 1; 2; : : : ; n. This algorithm is based on the idea of Riemann integral and the linear programming method. We also discuss the number of cuts needed for finding the optimal partitions.

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