Sentence examples for an auxiliary function to from inspiring English sources

Insofar as security coöperation is seen as an auxiliary function to the occupation, it has added to a sense of helplessness and loss of agency and has focussed popular anger and frustration away from the struggle for freedom and independence.

First, inspired by [18], we choose horizontal variables to construct an auxiliary function to establish Caccioppoli type inequality; see Lemma 7 below.

However, it remains to be elucidated whether the cGMP activity of yPDE1 plays an independent role in yeast physiological processes or an auxiliary function to the cAMP signaling pathway.

In order to prove our main results, we need to introduce an auxiliary function at first.

In [11], Liu et al. proposed a search method by combination of image definition evaluation function and modulation transfer function (MTF) auxiliary function to judge the search direction.

Once this change is introduced, the models have to be supplemented by an auxiliary function Φ needed to assign values to the propositional variables relative to worlds.

Suppose v(i) is an auxiliary function whose result is equal to m times the value of (t_i) when applied to (t_i).

An auxiliary function is established to distinguish these characteristics.

In 1973, Geraghty [33] introduced an interesting class of auxiliary functions to refine the Banach contraction mapping principle.

To overcome this difficulty, we introduce an auxiliary function such that the H lder and zero-index conditions are fulfilled.

In order to prove our main results, we first introduce an auxiliary function.