1 Closure categorization. 2  Check and confirm that the initial incident categorization was correct or, where the categorization subsequently turned out to be incorrect, update the record so that a correct closure categorization is recorded for the incident-seeking advise or guidance from the resolving group(s) as necessary.
In mathematics, the term generating function is used to describe an infinite sequence of numbers (a n) by treating them as the coefficients of a series expansion. The sum of this infinite series is the generating function.
A complete description of all length functions of a finitely generated group is given by the following theorem. Theorem 8 (Olshanskii, [30]) Let be a length function on a finitely generated group G. Then the following conditions hold: Conversely for every group G and every function satisfying (D1) - (D3), there exists an embedding of G into a 2-generated group H with generating set such that the length function is equivalent to .