system of distinct representatives

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system of distinct representatives [¦sis·təm əv di¦stinkt ‚rep·rə′zen·tə′tivz]

(mathematics)

A family of subsetsS_iof a given finite setSsuch that the family has as many members as there are elements inS, and such that it is possible to assign each elementx_iofSto a distinct subsetS_iwithx_iinS_i.

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