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On a Certain Type of Space-Tableau

Published online by Cambridge University Press:  20 January 2009

Nancy Walls
Nancy Walls
Affiliation:
The University, Southampton.
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Extract

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An integer n may be partitioned into the set of integers (α1, α2, …, αl), where Whenever αi−1>αi the substitution of αi+1 for αi, where αi may be αi+1≡0, would give a partition of n+1 whilst the substitution of αi−1—1 for αi−1 would give a partition of n—1; partitions of n+1 and of n—1 so arising will be said to be associated with the given partition of n.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 9 , Issue 2 , November 1954 , pp. 82 - 86
Copyright
Copyright © Edinburgh Mathematical Society 1954

References

1 Rutherford, , Proc. Edinburgh Math. Soc., 7 (1942), 51–4.CrossRefGoogle Scholar

2 Rutherford, , loc. cit., &2.Google Scholar

3 Rutherford, , loc. cit., &3.Google Scholar