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IntegerComposition from BinaryWord ​

The composition of m + 1 a binary word of length m cuts out.

BinaryWord → IntegerCompositioninverse

The inverse of CutWord. Mapped over BinaryWords(m), it lists the compositions of m + 1 in their cut words' order.

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

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

Properties

Transport a statistic

Pick a statistic on IntegerComposition. Its distribution over the images of BinaryWord at each size is computed, and compared with the 59 statistics on BinaryWord: those that share it are the ones the map sends it to, as far as the sizes computed show.