Abstract
This chapter presents a distribution problem in finite sets and discusses a few relations between the distribution problem and other combinatorial problems. It describes a problem that is helpful in the construction of low discrepancy sequences. The problem arose from a method for explicitly constructing uniformly distributed sequences in a compact space. The chapter presents an equation to define a counting function and the construction of an infinite sequence, which is obtained by reading the rows of the array consecutively from the left to the right. There is a remarkable connection between distribution problems and combinatorial analysis. Incidentally, such relations between the theory of uniform distribution and combinatorial analysis have recently been investigated.
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