Given a word like $abbbaaaba$, we can take (say) the first three letters. We might write $$\mathrm{foo}_3(abbbaaaba) = abb,$$ or something like that. Is there any standard terminology or notation here?

  • $\begingroup$ the term is cohomology $\endgroup$ – mathworker21 Mar 17 '17 at 6:48
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    $\begingroup$ What about "prefix of length 3"? $\endgroup$ – dtldarek Mar 17 '17 at 6:52
  • $\begingroup$ Prefix seems quite common. $\endgroup$ – Mauro ALLEGRANZA Mar 17 '17 at 7:05
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    $\begingroup$ @mathworker21: huh? $\endgroup$ – bertram Mar 17 '17 at 14:35

prefix (of length $3$) is pretty logical, but I am finding a lot of hits for the second obvious thing that came to mind:

initial segment (of length $3$)

E.g. see this, and this, and this.

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