Sentence examples for process by itself from inspiring English sources

The Markov model consists of a definition of a new type of reaction channel, in which the reaction product is a stochastic process by itself.

Widespread Use of Evaluations Makes It Hard to Assess Impact: While the small group of boards that do not disclose the use of evaluation processes tend to have older and longer serving directors, there is limited evidence that the use of an evaluation process, by itself, has a significant impact on board turnover or succession.

Royce points out, though, that such a process by itself does nothing to reconcile the sinner to the community or to repair that community.

TiO2 can originate this photocatalytic process by itself but, due to a high band gap, UV radiation is needed with λ < 387 nm.

Having looked at the basic discretization process by itself in the last section, the starting point for this section are now basic difference equations as concrete basic objects, namely ∑ j = 0 m a j x 2 j f ( q x ) = ∑ j = 0 m + 1 b j x 2 j f ( x ), m ∈ N 0 (56).

Still, just restarting the peace process by itself will not suffice.

As discussed below, the presence of diverse eyes cannot be understood in terms of any one of these evolutionary processes by itself.

Therefore, the PNPase-containing degradosome or exosome plays minor roles in Hfq-free RyhB decay, and PNPase might be involved in these processes by itself or through other unknown mechanisms.

"I'm not sure that the current process could, by itself, identify them -- nor could any process".

The remaining three cubes pick up additional cubes from "feeding stations" and transfer them to the new robot, which assists in the process by standing itself up.

Of course, a process standard by itself doesn't achieve such benefits.