Generator-offset property: Difference between revisions
Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
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* An ''odd-step'' is a ''k''-step where ''k'' is odd; an ''even-step'' is defined similarly. | * An ''odd-step'' is a ''k''-step where ''k'' is odd; an ''even-step'' is defined similarly. | ||
* 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'' of a word ''S'' we mean the word ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1] ''S''[''j''], where indexes are in '''Z'''/len(''S'')'''Z''', and we denote this word ''S''[''i'' : ''j'']. | |||
== Theorems == | == Theorems == | ||