"generating set" is a valid phrase in written English.
It is a set of elements from which other elements of the same set can be derived, and can be used within a variety of contexts. For example, if we consider an algebraic structure, the generating set could be the set of all elements which can be used to generate new elements within that structure.
Observe that the latter statement is valid not only in the case when (A) is a system of elements that generate (G) as a group but even in a more general case when (A) is a generating set for the group (G) considered as a semigroup.
These correspond to the four smallest eigenvalues of the Laplacian of the Cayley graph obtained by using transpositions as the generating set on Sn.
Let (S) be a symmetric finite generating set of (G).
In [[24], Theorem 3.2.1], the generating set of the second homotopy module π 2 ( P G ) has been constructed as drawn in Figure 1.
end{aligned} (2.2 The dependence of the growth function on generating set is inconvenience and it is customary to avoid it by using the following trick.
Vackář et al. (2017) propose to inspect posterior PDF of any CMT parameters by generating set of random possible solutions from the total ten-dimensional posterior PDF.
This means that properties of a generated group which are quasi-isometric invariants will be independent of the choice of generating set, and therefore informative about the group itself.
In addition to the material given in the above paragraph, one can also investigate whether the set, say B, of this minimal number of generating functions can be a generating set of this type of functions.
Let (G) be a finitely generated group, (S) a finite generating set, and (mathrm{Cay}(G,S)) the corresponding Cayley graph, with vertex set (G) and edge set ({ {g,h} mid g^{-1}h in S cup S^{-1} }).
This gives each generating set a generating capacity of 660 MW: with six generating sets, the station has a total capacity of 3,960 MW.
Consider any proper subset of the set {G1, G2, …}—{H1, H2, …}, say and define a new generating set {I*, H1, H2, …}, where I* is the property of having as essential properties just those properties which are in the newly generated set.
