Glossary for combinatorics on words: Difference between revisions
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| abelian complexity || (of the set of ''k''-steps) [[interval variety|variety]] of an [[interval class]]|| | | abelian complexity || (of the set of ''k''-steps) [[interval variety|variety]] of an [[interval class]]|| | ||
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| Parikh vector; abelianization || interval occurring in a scale || A given subword ''w'' is associated with a ''Parikh vector'' whose coefficient for each letter ''a'' is |''w''|<sub>''a''</sub>, the number of occurrences of ''a'' in ''w''. The Parikh vector of a length-''k'' subword is a ''k''-step in xen terminology. | | Parikh vector; abelianization || interval occurring in a scale; step decomposition || A given subword ''w'' is associated with a ''Parikh vector'' whose coefficient for each letter ''a'' is |''w''|<sub>''a''</sub>, the number of occurrences of ''a'' in ''w''. The Parikh vector of a length-''k'' subword is a ''k''-step in xen terminology. | ||
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| (1-)[[balance]]d word || (for binary words) MOS scale || A word such that for any ''k'' and any two ''k''-steps, the numbers of occurrences of any letter differ by at most 1. | | (1-)[[balance]]d word || (for binary words) MOS scale || A word such that for any ''k'' and any two ''k''-steps, the numbers of occurrences of any letter differ by at most 1. | ||