Sentence examples for based on these formulas from inspiring English sources

Extensive comparisons of the calculated results based on these formulas with the far field noise measurements of Norum and Seiner [3] and the near field noise contour maps and far field noise directivity measured by Yu [4] are carried out.

Based on these formulas, a design response spectrum has been calculated as shown in Fig. 4a.

Based on these formulas we can obtain the characteristic functions of the k-variate slash t using the following formula.

Based on these formulas, regularity properties for ( {z}_ileft tilde{t}right) ) and Z i (t) follow from those of their operands.

Based on these formulas, total 1377 proteins were plotted as a scatter chart, in which the values of M were distributed on the Y-axis, and the values of A were distributed on the X-axis (Figure 2A).

The figures given in the next section are based on these formulas, which only focus on perfect alignments (i.e. multiword alignments must have a perfect match to be considered).

Based on these formulae, detailed parametric studies of the combined system are carried out.

Based on these formulae, a cut point can be chosen that minimizes the mean squared error of the estimate of interest.

Based on these formulae, we show that the radii of curvature of both convex and concave mirrors in the Offner triplet can be adapted to tune the fourth order dispersion term of the spectral phase of the pulse.

The objective of this paper is to present data from a novel vertical flow mine water treatment system, demonstrate how these data can be used to generate sizing formulae for this technology, and present a comparison between the size of system based on these formulae and those of conventionally designed passive systems.

Based on these formulae we have the following.