Sentence examples for a certain smoothness of from inspiring English sources

First, (7.38) allows us to claim a certain smoothness of A. Second, the right-hand expression is something we studied in pointwise spectral asymptotics, and the Weyl expression here is 0, so the right-hand expression of (7.38) is something that we could estimate.

This term, which enforces a certain smoothness of the solution, is called the regularizer.

Second, a certain smoothness of Disp t) over short time frames is required.

This leads to the concept of enforcing a certain smoothness of the displacement function with respect to time as the second objective.

"If you practice scales religiously and practice each note firmly with equal strength, certainly you'll develop a certain smoothness.

We obtain structural properties of the error G - Q and show that certain smoothness properties of G are inherited by Q (e.g., membership of Besov spaces).

Thus, it guarantees a certain level of smoothness in the limit on a regular mesh.

The surface is approximated using a control mesh guaranteeing a certain level of smoothness.

Assuming that the effect of relative motion is predominantly a translation of the A-Scans within the object space (i.e. the retina) and that there is no significant rotation between the object and the scanner around the optical axis during acquisition, Disp t) must possess a certain degree of smoothness in time because it describes the relative position between scanner and object.

The equivalent damping ratios for the first few significant modes are numerically computed by first iteratively forming a frequency response transfer function modulus until it satisfies certain smoothness criteria and then by solving a set of non-linear algebraic equations.

Because response to therapy in juvenile arthritis occurs gradually (over weeks or months), we expect a certain level of temporal smoothness between module strengths in successive snapshots; such an assumption is both biologically plausible and allows us to filter out 'noise' that is inherent in whole blood microarray data.