Sentence examples for elements of orders from inspiring English sources

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

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

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

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

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.

Let ω(G) denote the set of element orders of G. Let m i (G):=|{g ∈ G|the order of g isi}| (m i for short) be the number of elements of order i, and let nse(G):={m i (G |i ∈ ω(G)} be the set of sizes of elements with the same order.

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.

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

contains elements of order five, therefore it is noncrystallographic in three dimensions; the (minimal) crystallographic representation of it is six-dimensional (Levitov & Rhyner, 1988 ▶).

In particular, we consider here the case where a filter is constructed using two fractional-order elements of different orders α and β.

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.