Generator-offset property: Difference between revisions
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* Given a linear or cyclic word ''S'' with a step size X, define ''E''<sub>X</sub>(''S'') as the scale word resulting from deleting all instances of X from ''S''. | * Given a linear or cyclic word ''S'' with a step size X, define ''E''<sub>X</sub>(''S'') as the scale word resulting from deleting all instances of X from ''S''. | ||
* By a ''subword'', ''substring'', or ''slice'' on index ''i'' of a word ''S'', denoted ''S''[''i'' : ''j''], we mean | * By a ''subword'', ''substring'', or ''slice'' on index ''i'' of a word ''S'', denoted ''S''[''i'' : ''j''], we mean | ||
* ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1] ''S''[''j''] if ''j'' > ''i'', | ** ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1] ''S''[''j''] if ''j'' > ''i'', | ||
* ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1] ''S''[''j''] if ''j'' < ''i'', | ** ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1] ''S''[''j''] if ''j'' < ''i'', | ||
* ''S''[''i''] when ''j'' = ''i''. | ** ''S''[''i''] when ''j'' = ''i''. | ||
* Given a mos aX bY, a ''chunk'' of X's is a maximal substring made of X's, bounded by Y's, possibly empty. We do not include the boundary Y's. | * Given a mos aX bY, a ''chunk'' of X's is a maximal substring made of X's, bounded by Y's, possibly empty. We do not include the boundary Y's. | ||
* An ''n''-''ary'' scale is a scale with ''n'' different step sizes. ''Binary'' and ''ternary'' are used when ''n'' = 2 and 3 respectively. | * An ''n''-''ary'' scale is a scale with ''n'' different step sizes. ''Binary'' and ''ternary'' are used when ''n'' = 2 and 3 respectively. | ||