Sentence examples for the simple group from inspiring English sources

For group testing, the simple decoder for the classical model is shown to be more efficient than the one of Chan et al. and it provably achieves the simple group testing capacity.

The binary codes Cn (where n∈{1755,1756,2304,2305,4059}), defined by the rank-3 primitive permutation representation of degree 4060 of the simple group Ru of Rudvalis on the cosets of the Ree group 2F4(2) are examined.

S ≅ A 6 and G is isomorphic to one of the following groups: Aut ( A 6 ), Z 2 × Z 2 × A 6, Z 2 × ( Z 2 ⋅ A 6 ) and Z 4 × A 6. By Lemma 2.3 and Subcase 3.1, we may assume that | S | = 2 a ⋅ 3 2 ⋅ 5, where 2 ≤ a ≤ 5. Using Table 1, we see that S can only be isomorphic to the simple group A 6. Thus A 6 ≲ G / K ≲ Aut ( A 6 ).

Over a quarter of infants meeting the criteria for intestinal failure in the complex group progressed to liver disease associated with intestinal failure compared with less than half in the simple group.

Then S is isomorphic to one of the simple groups listed in Table 1.

In 2009, Vasil'ev first dealt with the simple groups with a connected prime graph and proved that Thompson's conjecture holds for A 10 and L 4 ( 4 ) (see [7]).

"In essence, they are testing the simplest group and only a very small number of them".

But, as was discussed earlier, individuals are usually committed to different social identities, and their commitments may also vary with time, so that consistency between normative beliefs and behavior, though explainable, is hardly predictable in all but the simplest group contexts.

Activating the simplest group of hemilineage clusters produces simple movements such as leg twitches and stretches.

These three proteins belong to the simplest group of the DnaJ proteins (type III) characterised by only one specific domain, the J-domain [ 1].

Note that its restriction to S is an embedding of S into the almost simple group (overline{X}) with the socle (overline{S}cong S).