Sentence examples for use of these equations from inspiring English sources

Therefore, use of these equations allows us to identify the degree of super-directivity that can be safely assigned to the array without having to tackle substantial feasibility issues.

The results are       (44) As an example of the use of these equations, equation (35) for CP − CV contains the partial derivative which vanishes for an ideal gas and is difficult to evaluate directly from experimental data for real substances.

The use of these equations is discussed through examples.

An Excel file is provided as an additional file for the practical use of these equations.

We make use of these equations in the following two sections.

Use of these equations enables revealing the scale effect on static response of curved nanobeams.

Therefore, we encourage very cautious use of these derived equations for the determination of GFR as they have not been validated in patients with liver disease.

Evaluation of these commonly used risk equations for predicting short-term risk of CHD events in this cohort is important in that risk-stratification is frequently used for clinical decision-making, and use of these risk equations are likely to give unreliable risk estimates.

In many cases, expert panels have reviewed and concurred with the use of these adjustment equations, and have often noted that time-trend analyses would be misleading if users did not statistically adjust for measurement procedure differences (4, 5, 15, 20, 58).

The most widely used version of these equations is the compatible polynomial taper equation (Goulding and Murray 1976; Gordon 1983; Katz et al. 1984; Hayward 1987).

In the main text, we presented biomass estimation using one of these equations: ln(Y) = ln(a) + b*ln(X), where X represented length*width and Y referred to biomass; a, b were parameters for different insect orders [ 64].