Sentence examples for using the formula in from inspiring English sources

To get the histogram we generate several realizations of i q [k] for q = 410 using the formula in (15).

In Section 2, we obtain an expression of stationary equations of system (1.1) in spherical coordinates by using the formula in [14].

Table 1 shows the NDT values from simulation experiments (i.e. NDTr) with different beacon generation frequencies from the RSU and NDT using the formula in Equation 7 (i.e. NDTi) to calculate the upper bound.

where K 1 is the first-order modified Bessel function of the second kind ([34], Eq. (8.432.1)) and the last equality is obtained by using the formula in ([34], Eq. (3.324.1)).

In this study, the shear strength of deep beams made with NC and SCC was predicted using the formula in the ACI 318 (1999), Hsu Mau's explicit method (Hsu 1998; Mau and Hsu 1989) and strut-and-tie model suggested by Uribe and Alcocer (2002) based on ACI 318 Appendix A (2008).

To overcome this difficulty, the average divergence is computed using the formula in Equation 7, where π 1 = w t, a w t, a + w t, b, π 2 = w t, b w t, a + w t, b and w t=π1∗wt,b+π2∗wt,b.

It is also shown that the cracking torque can be predicted using the formulas in the ACI and AASHTO LRFD codes without any modification.

We used Mathematica to evaluate variances of invariant GRFs, using the formulae in the theorem of Cramer and Leadbetter's.

Finally, we will compute the sensitivity indices for (V_{2}^), (L_{2}^), (I_{2}^) and (W_{2}^) using the formulas in Theorem 1.

We will first compute the sensitivity indices for (T_{1}^), (T_{2}^) with respect to the parameters by using the formulas in Theorem 1.

It is obvious that problem (42) match the framework of the problem (5), thus the solution of (42) can be obtained by using the formulas in Section 2.2.