The phrase "application of the usual" is correct and usable in written English.
It can be used in contexts where you are referring to the implementation or use of standard practices or methods.
Example: "In this project, we will focus on the application of the usual protocols to ensure consistency and reliability."
Alternatives: "use of standard practices" or "implementation of common methods".
We can say in this case that the matrices A and E in (4.1) and (4.2) are the dual summability methods if s is reduced to z or viceversa under the application of the usual summation by parts.
Application of the usual variational procedure for the quantity of interest (such as the buckling load, fundamental frequency, or deflection) results in a dimensionless quantity which is a function only of the undetermined exponent.
The truncation error analysis also shows that the application of the usual alternating split-operator method to an equilibrium reaction (linear retardation) actually increases the (first order in time) truncation error relative to the standard method.
The datasets that CHNRI methodology produces are not appropriate for application of the usual Kappa agreement statistics" [ 37].
The second validation consists of the application of the usual cross-validation techniques (k-folding and/or leave-one-out) to this augmented dataset, using the parameters found at the calibration stage.
The application of the rule is potentially infinite, and bizarre interpretations of the rule, as well as the standard use of it, are compatible with any finite set of applications of the usual sort such as 7 + 14 = 21.
Nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI) at very low magnetic fields (0.05 20 mT) have gained interest due to the simple and portable magnet design and newly emerging applications outside of the usual laboratory setting.
For instance, in Coober Pedy, the council waived the application of its usual procurement policy and paid ID-Tect to install four "alcohol management units" into three liquor outlets.
In conclusion, notwithstanding the retrospective nature of the present data collection and the lack of a control group, these data confirmed the feasibility of the PMX-HP application in the usual clinical context without life-threatening adverse events related to its application, as already described in previous RCTs and observational studies.
They were turning animal bones into tools and finely worked weapon points, a skill more advanced in concept and application than the making of the usual stone tools.
The reported relationship appears, visually, to be dependent on a few very high value(s) for the claimed correlation, making inference or application of the functional relationship within more usual exposure levels inappropriate.
