The phrase "as a function of appropriate" is not correct and does not convey a clear meaning in written English.
It may be intended to describe a relationship or dependency based on certain criteria, but it lacks clarity and completeness.
Example: "The results will vary as a function of appropriate parameters in the experiment."
Alternatives: "based on suitable" or "in relation to relevant".
Collapse mechanism maps are constructed to illustrate the dependence of failure mode upon the geometry and relative density of the core; and minimum weight designs are determined as a function of the appropriate structural load index.
Our reductions imply that for these problems, given an optimal (or β-approximation) algorithm for an algorithmic pricing problem, we can convert it into a (1+ϵ -approximation (or β(1+ϵ -approximation) for the incentive-compatible mechanism design problem, so long as the number of bidders is sufficiently large as a function of an appropriate measure of complexity of the class of allowable pricings.
At X-band, acquisition of echo transients as a function of radiofrequency and appropriate selection of integration windows during data processing allows efficient separation of contributions from weakly and strongly coupled nuclei in overlapping ENDOR spectra within a single experiment.
Extensive simulations are performed to quantify the change in the arithmetic average of asperity heights as a function of operating conditions, and appropriate relationships are developed for design applications.
The FFM procedure is particularly suited to quantify spatially varying protein mobility, e.g. as a function of chromatin density, using appropriate fluorescent reporters.
To achieve this, t in Equation 1 can be rescaled as a function of 2 Ne at appropriate times.
The plots of adsorption efficiency as a function of time allowed to the appropriate contact time between sawdust and ion solution (Fig. 6).
From our calculations, a very small variation is noted in lattice constant values of ScxY1−xN alloying system as a function of Y content, reflecting to appropriate alloying of ScN and YN.
