"vary smoothly" is a grammatically correct and commonly used phrase in written English.
It means to change or shift gradually and without abrupt changes or interruptions. Example: The music in the movie varied smoothly from suspenseful to romantic, perfectly complementing the changing tone of the scene.
A class of semiparametrically structured models is proposed in which the predictor decomposes into components that may be given by a parametric term, an additive form of unspecified smooth functions of covariates, varying-coefficient terms or terms which vary smoothly (or not) across the repetitions in a repeated measurement design.
Large clusters have properties that vary smoothly with N and clearly merge into those of their bulk counterparts.
Small and medium-size clusters, on the other hand, show different reactivities for every size, although these reactivities do not vary smoothly with size.
Medium-size clusters have properties that vary smoothly with the number of constituent particles (denoted N), but their properties, such as the melting point, differ significantly from those of the corresponding bulk.
Clearing CDSs presents another difficulty: because a firm is either bankrupt or not, it is difficult for CCPs to demand margins or collateral that vary smoothly with the risk of the loans insured.
The two compounds have identical crystal structures and form a substitutional solid solution that can range from 100 percent magnesium (Mg) to 100 percent iron (Fe), including all proportions in between, with physical properties that vary smoothly from those of forsterite to those of fayalite.
Both angles vary smoothly and steadily along the orbit.
They are assumed to vary smoothly with frequency.
The elastoplastic material properties are assumed to vary smoothly through the thickness of the plates.
Of course, solutions given by Theorem 5.1 vary smoothly with respect satisfying (69).
As t evolves from t 0 to t 1, the coordinates vary smoothly.
