Sentence examples for apply formula from inspiring English sources

First we apply formula (10) to obtain the fractional Dini derivative of the considered Lyapunov function.

These are (were in THQ's case) all companies whose primary asset is their ability to market and promote, to push product and dominate attention, to apply formula thinking.

First, apply formula (14) to obtain the derivative of V, namely ^{c}{ D}_^{q}V t,x =2x sin^{2}(t)f t,x).

We apply formula (3.3) to the region D + ∖ D ε + ⊂ D +, where D ε + is an upper half sphere centered at P ′ of radius ε.

Finally, we provide an easy to apply formula for identifying the necessary number of bootstrap samples allowing to limit the bootstrap-related error to a freely definable degree.

To apply formula (1) from Section 2.1, we determined the mean and variance of the explanatory variable in those with and without the condition.

To evaluate and it is enough to apply formulas similar to the one given in Theorem 6.6.

Knowing the mechanisms and laws of acid base balance gives a physician the perspective needed to apply formulas in the clinic.

In this paper, we first present a general theory of influence functions for profile likelihoods and apply formulas to the models of QTL detection.

NEVER blindly apply formulas.

For this purpose, the strain energy release rate was calculated by applying formula (60).