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λ(n)-Parameter Families

Published online by Cambridge University Press:  20 November 2018

Ronald M. Mathsen*
Affiliation:
University of Alberta, Edmonton
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I is an interval of R, the set of real numbers, n is a positive integer and F ⊂ Cj (I) for j ≥ 0 large enough so that the following definitions are possible:

(i) Let λ(n) = (λ1, λ2,…,λk) where k, λ1, λ2,…, λk, are positive integers and λ1 + λ2 +… +λk = n. Then λ(n) is an ordered partition of n. The set of all such partitions of n is denoted by P(n).

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1969