Sentence examples for generated as normal from inspiring English sources

Recall that a group (G) satisfies Max-n, the maximal condition for normal subgroups, if any increasing sequence of normal subgroups of (G) is ultimately stationary, or equivalently if any normal subgroup of (G) is finitely generated as normal subgroup.

For Claim (iv), consider a finite presentation of (G), namely a free group (F) on a finite set (S) and a normal subgroup (M) of (F) generated as normal subgroup by a finite subset (R) of (F), such that (G = F/M).

Reactive oxygen species (ROS), such as hydroxyl radicals and hydrogen peroxide (H2O2), are constantly generated as normal by-products of mitochondrial respiration.

Reactive oxygen species (ROS) including singlet oxygen, superoxide, hydrogen peroxide (H2O2), and hydroxyl radicals are generated as normal byproducts of aerobic respiration and also act as signals in development, defense, and stress responses [ 29].

The plant stands next to the large West Burton coal-fired power station, built in the late 1960s and now also operated by EDF, which was not affected by the protest and continued to generate as normal.

For a latent error component on the logit (M-value) scale of measurement, we set q = 2 and generated the elements of the matrix in (3) as standard normal variables, while the corresponding matrix was generated as, with the elements of the matrix generated as standard normal variables and.

The group we are going to construct will be a semidirect product of an elementary Abelian normal subgroup generated (as a normal subgroup) by the x-letters by a semidirect product of an Abelian subgroup generated (as a normal subgroup) by A-letters and an Abelian subgroup generated by a-letters.

Let (check{T}) be the normal subgroup of (check{G}) generated (as a normal subgroup) by the x-letters.

The normal subgroup T of G generated as a normal subgroup by all the elements (x({u}), uin U,) is Abelian of exponent p. Relations (G5) a) of the group G imply that every element (x u), uin U,) is a product of elements (x({q_j})^z, zin H_1, i=0,ldots,N).

Two predictors are assumed, X1, with values generated as standard normal, the other X2 as binary (=1 for half the sample, = 0 for other cases).

Covariates were generated as standard normal random variables with zero mean and unit variance, and several of the covariates were correlated.