Sentence examples for present formulas from inspiring English sources

The present formulas can provide references for estimation of the transmission coefficient in engineering practice.

We present formulas for obtaining their roots and weights that are also generally complex.

The rationality of the present formulas was verified by their comparison with existing empirical and analytical formulas.

Comparative analysis shows that the results of the present formulas agree with the numerical flume results as well as available experimental data, and the present formulas are superior to the existing empirical and analytical expressions in estimating the transmission coefficient.

The validities of the present formulas are confirmed by comparing them with demagnetization coefficients estimated in earlier works.

It is verified that those formulas may be obtained readily from the present formulas by considering their certain assumptions.

On its present formula, however, outputs grew by 69.3%4.1%1% a year) between 1995 and 2008.

Finally, two simulations are conducted to validate the present formula.

The present formula employs a fundamental solution that eliminates the discretization of the top ground surface.

This paper ends with usefulness of the present formula in examining the structural characteristic of ship's hull.

New for 2015, Perry will also present Formula 1 Rewind, which will be repeated on the BBC Sport website and BBC iPlayer.