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Further Logic Diagrams in Various Dimensions

Published online by Cambridge University Press:  03 November 2016

S. N. Collings*
Affiliation:
The Open University, Walton Hall, Bletchley, Bucks

Extract

Given n dimensions, the obvious way of representing n classes is by a hypercube of side 2. Such a hypercube contains 2n unit hypercubes, one for each combination of the n classes. With only one dimension available, it is still possible to represent each of the 2n combinations. Take a line OX with any point P1 marked on it. The interval OP1will represent all combinations excluding the first class A1 and the interval P1X all combinations containing it.

Type
Research Article
Copyright
Copyright © Mathematical Association 1972

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References

1. Bowles, Lynette J.: Logic Diagrams for up to n classes. Math. Gaz. LV, No. 394 (December 1971), pp. 3703.Google Scholar