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A group G is said to be finitely generated if there exists a finite set of group generators for G.
The map which assigns every member of a set A to the same element id_A. It is identical to the identity function.
A set of graph vertices A of a graph with graph edges V is independent if it contains no graph edges.
"The integers" is a common way of referring to the set of integers, commonly denoted Z.
Given a positive integer n, a labeled n-digraph is a digraph whose vertex set is {1,...,n}.
A set of points capable of being enclosed in intervals whose total length is arbitrarily small.
A number theoretic function is a function whose domain is the set of positive integers.
"The reals" is a common way of referring to the set of real numbers and is commonly denoted R.
Let u^_ denote the mean of a set of quantities u_i, then the relative deviation is defined by (Deltau_i)/(u^_)=(|u_i-u^_|)/(u^_).
The set of "critical values" of a map u:R^n->R^n of map class C^1 has Lebesgue measure 0 in R^n.
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