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Application of Combinatorial Formulae to Generalizations of Wilson's Theorem

Published online by Cambridge University Press:  20 November 2018

N. S. Mendelsohn
N. S. Mendelsohn*
Affiliation:
University of Manitoba
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Summary. By the use of finite difference operators a series of combinatorial formulae are obtained. Two applications of the formulae are given. First, the following explicit formulae for the number, ƒ(n), of non-isomorphic equivalence relations among n elements are obtained:

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 1 , Issue 4 , 01 August 1949 , pp. 328 - 336
Copyright
Copyright © Canadian Mathematical Society 1949

References

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[4] Mendelsohn, N. S., “Symbolic Solution of Card Matching Problems,” Bull. Amer. Math. Soc, vol. 52 (1946), 918–924.Google Scholar