Composition of Binary Relations in Sets

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Given two binary asymmetric relations (red arrows) and (green arrows), this Demonstration shows their composition (dashed blue), union (dashed brown) and intersection (dashed black).

Contributed by: Izidor Hafner (January 2018)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The composition of two binary relations is defined by:

.

Reference

[1] E. J. Borowski and J. M. Borwein, The HarperCollins Dictionary of Mathematics, New York: HarperPerennial, 1991 p. 489.



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