Sentence examples for applying this operator from inspiring English sources

Applying this operator to the ground-state, we find (21).

Solutions for merging models that are achieved by applying this operator are more abstract and reusable than the ad-hoc solutions that are pervasive in many contexts of the Software Engineering field.

Usually, when an application wants to determine the IntentScope, it will start by invoking delimit on the GlobalScope and further refine it by recursively applying this operator and/or using other scope operators.

In view of the theorems of a fractional exponential operator expressed in this section, we may apply this operator to PFDEs in the next section.

We have applied this operator to the multi-criteria generalized interval-valued trapezoidal fuzzy group decision making with Choquet integral-based TOPSIS.

We apply this operator to the cortically projected fMRI clusters, such that: The source priors can then be formed either by creating "covariance" components via the outer product: (3a) or by creating a "variance" component: (3b) where the diag(x) operator here retains only the leading diagonal of a matrix.

Applying this block-based operator to I T results in an image containing the highest possible LBP number (i.e. 255) at the pixel positions belonging to pit regions, since all surrounding block averages contain higher values as compared to the center block.

Applying the operator to both sides of this equation implies (3.32).

Applying the operator to for some we get (4.11).

Proof By applying the operator P q to equation (1.8), we get problem (1.9).

We also apply this newly defined operator for investigating some interesting mapping properties of certain subclasses of analytic and univalent functions.