Applications of Equivalence Relations in Mathematics
DOI:
https://doi.org/10.54097/jeer.v4i2.10630Keywords:
Equivalence Relations, Discrete Mathematics, Partitions, Equivalence ClassesAbstract
To help teaching of equivalence relations in discrete mathematics course, typical applications of equivalence relations in mathematics are explored fully and clarified elaborately. A variety of applications are grouped into three types, including viewing apparently different objects as the same one, grouping different objects into one class, and defining new mathematical objects, and each type is exemplified by specific instances. The emphasis is placed on intuition, roadmap and rigor, rather than technical details.
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References
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