Sentence examples for auxiliary arguments from inspiring English sources

With complete contractivity at hand, the desired dilation follows from Arveson's dilation theorem and auxiliary arguments.

We see this idea at work in the auxiliary arguments which Alexander offers to back up or explicate claims made in Aristotle's text.

Usually, these translations incorporate auxiliary arguments, which are used to simulate the logical connectives.

The contrast between the divine and the human also figures in another auxiliary argument.

There is no monotone assumptions on the boundary functions L i, i = 0, …, n − 1, by using adequate auxiliary functions and global arguments.

The novelty of this paper consists in the following items: There is no monotone assumptions on the boundary functions L i, i = 0, …, n − 1, by using adequate auxiliary functions and global arguments.

Many contractivity conditions were introduced in the past by using these two terms but, in general, they always were conditions in separate variables (that is, these terms were the arguments of different auxiliary functions).

Because of the inequality (4.9) we consider two auxiliary Abel equations with a continuous argument, namely, (4.14).

Now let us give an auxiliary proposition which is used in the following arguments.

The resemblance of its structure to that of EryCIII provides a strong argument for the participation of an auxiliary protein in SpnP-catalyzed glycosylation.

Secondly, a sharp threshold for the global existence and blowup of the solutions was derived by introducing some auxiliary functionals and invariant manifolds and applying potential well argument and the concavity method.