Morphology Question

Re: Morphology Question

par Jean-Cédric Chappelier,
Nombre de réponses : 0

indeed:
X+ is X | XX | XXX | XXXX | \cdots
thus
(a \otimes b)+ is (a \otimes b) | (a \otimes b)(a \otimes b) | (a \otimes b)(a \otimes b)(a \otimes b)| \cdots
that is
 (a,b) | (aa,bb) | (aaa,bbb) | (aaaa,bbbb) | \cdots

(since, by concatenation, (a,b)(a,b) is (aa,bb))

Summary:

  • a+\otimes b+ = (a^n, b^m), n\geq1, m\geq1
  • (a\otimes b)+ = (a^n, b^n), n\geq1