CyclicShift from SetComposition
The first block moved to the end.
FindStat's Mp00292.
Called as CombinatorialMap(x, "CyclicShift"). 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 SetComposition. 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 SetComposition.
Also from
The same name out of other carriers, each its own implementation: Permutation, IntegerComposition, BinaryWord, ParkingFunction.
FindStat Mp00292
rotate front to back
Matched by value: our map agrees with FindStat's image on each of the 1200 rows of size at most 6 we can read (0 unread; its table has 1200 rows).
BijectionGraded mapas FindStat records them, checked by FindStat's contributors.
| Object | Image |
|---|---|
[{1}] | [{1}] |
[{1,2}] | [{1,2}] |
[{1,2,3}] | [{1,2,3}] |
[{1},{2}] | [{2},{1}] |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/Mp00292 has the rest.