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Lattice Partitions with a Straight Line
Published online by Cambridge University Press: 20 November 2018
Abstract
In [1], the solution of a problem of distinct digital filter enumeration was expressed in terms of enumerating partitions of a rectangular set of lattice points with a straight line, under certain restrictions. Here, firstly, an explicit expression is derived for the number of such partitions in that and a more general case. Secondly, the asymptotic ratio of partitions to square of lattice dimensions is derived for a square lattice.
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- Copyright © Canadian Mathematical Society 1986
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