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Surjection from SetComposition ​

A set composition as a surjection: each position labelled with its block's index, from 1.

SetComposition → Surjectioninverse

Called as CombinatorialMap(x, "Surjection"). The head's page has its examples.

Live

Explore

Each element of SetComposition at a size, and its image, applied in your browser; sizes past 6 are not offered.

Properties

Transport a statistic

Pick a statistic on Surjection. Its distribution over the images of SetComposition at each size is computed, and compared with the 0 statistics on SetComposition: those that share it are the ones the map sends it to, as far as the sizes computed show.

No statistic is declared on Surjection.