I have the following code to create words.
sage: M.<x,y,z> = FreeMonoid(3)
sage: Word(x^3*y*x*z^2*x)
word: xxxyxzzx
I want find the periodicity of a given word.
For example ababab has periodicity 3 and abcdabcde has periodicity 1.
Kindly help me with this.
Thank you.
Just give a name to your word:
sage: w= Word(x^3*y*x*z^2*x)
Then discover some methd related to periods:
sage: w.per<TAB_KEY>
Then look at the documentation of the periods method:
sage: w.periods?
Then construct your own periodicity function, knowing that:
sage: w.periods()
[7]
sage: w = Word('ababab')
sage: w.periods()
[2, 4]
sage: w = Word('abcdabcde')
sage: w.periods()
[]
Asked: 2019-01-19 16:39:09 +0100
Seen: 212 times
Last updated: Jan 19 '19
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What should be the periodicity of
abcabcab?