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Sesquipower information


In mathematics, a sesquipower or Zimin word is a string over an alphabet with identical prefix and suffix. Sesquipowers are unavoidable patterns, in the sense that all sufficiently long strings contain one.

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Sesquipower

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In mathematics, a sesquipower or Zimin word is a string over an alphabet with identical prefix and suffix. Sesquipowers are unavoidable patterns, in the...

Word Count : 526

ABACABA pattern

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Devil's needle: ABACABADABACABA Arch form Farey sequence Rondo Sesquipower The strength, emphasis, or importance of the beginning of each duration...

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Recurrent word

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infinitely many times. An infinite word is recurrent if and only if it is a sesquipower. A uniformly recurrent word is a recurrent word in which for any given...

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Combinatorics on words

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unavoidable patterns sesquipowers are also studied. For some patterns x {\displaystyle x} , y {\displaystyle y} , z {\displaystyle z} , a sesquipower is of the form...

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Monoid factorisation

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and the elements of C in Mi are conjugate in Mi.[clarification needed] Sesquipower Lothaire (1997) p.64 Lothaire (1997) p.67 Duval, Jean-Pierre (1983)....

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