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BlockConcatenation ​

The permutation that lists the blocks in order, each sorted increasingly.

BlockConcatenation(SetComposition)The permutation that lists the blocks in order, each sorted increasingly.
Typed signatures
TypePackageApplies
(set_composition) -> permutationcombinatoricsalways

Domain: Combinatorial maps

Details
  • Takes a SetComposition and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
  • FindStat's Mp00286. Lossy: where one block ends and the next starts is forgotten.

Examples

Basic #

the set composition {2,4}∣{1}∣{3}\{2,4\} \mid \{1\} \mid \{3\}

live ↗
InBlockConcatenation(SetComposition⁡([[2,4],[1],[3]]))\mathrm{BlockConcatenation}({\operatorname{SetComposition}}([[2, 4], [1], [3]]))OutPermutation⁡([2,4,1,3]){\operatorname{Permutation}}([2, 4, 1, 3])
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Examples1
CrosswalkFindStat