Sentence examples for element of order from inspiring English sources

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.

Let and in an element of order for some.

Theorem 13 H u, n contains a 2-gon if and only if Γ 1 ( n ) contains an elliptic element of order  2.

For example, the element ( 1 − 1 3 − 2 ) ∈ Γ 1 ( 3 ) is an elliptic element of order 3, but H 1, 3 does not contain a triangle.

If p = 2, 3, then G is a group of order six or twelve and not an element of order six.

In this case, we have 3 ∈ π ( H ), so an element of order 5 must act fixed-point-freely on a subgroup of order 3 in H, which is clearly a contradiction by Table 2.

We also define an index set J such that (x_{j}^{text {ordered}}|jin J) is the jth element of ordered set X ordered.

where denotes the set of partitions of the index set (10), is the number of elements in the partition, and is the TMF of the th-element of order of the partition.

where denotes the set of vectors of cycle frequencies for the partition that sum to, and is the CTMF of the th-element of order of the partition at the cycle frequency.

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.