Sentence examples for using the formulas in from inspiring English sources

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

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

Using the formulas in Equations 19, 20, and 21, we can calculate the c- and v-components of torsion in Equation 41 for a d-connection, i.e., we prove.

Based on this observation, Myers algorithm re-encodes the DP matrix and finds the differences between the adjacent cells in each successive row or column using the formulas in Eqs.

We will then compute sensitivity indices for (R_{0}) using the formula in (10).

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

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].

After burn-in, we calculate the gradient of the likelihood function using the formula in (2.4).