Sentence examples for elements of order from inspiring English sources

Let X be a locally compact second countable Abelian group containing no subgroup topologically isomorphic to the circle group T, G be the subgroup of X generated by all elements of order 2, and Aut(X) be the set of all topological automorphisms of X.

The number of elements of order 7 in G is m=120t·6=720t.

By the structure of D ( G ), G has no elements of order 15, neither does H.

Hence, n7(G)=8t and 7∤t, so the number of elements of order 7 in G is m=8t·6=48t.

A group G is called a C p, p -group if and only if p ∈ π ( G ) and the centralizers of its elements of order p in G are p-groups.

If n11(H)=12, then the number m of elements of order 11 in G is 120 < m < 61440 and 10|m, but m ∉ nse(G), which is a contradiction.

As Γ only has finite order elements of orders 2 and 3, the same is true for Γ 1 ( n ).

As such rulers welcome corporate capitalism, they may seed some elements of ordered, liberal democracy in ways they don't intend.

The artistic creations evince a strong element of order and simplicity, culminating in the Classical grandeur of Racine's plays and the facade of Versailles.

In the regions where discontinuities occur, FOS subdivides a spectral element of order p into p2 subcells and then uses 1st-order basis functions and integration rules on every subcell of the element.

Let and in an element of order for some.