Sentence examples for the expressions given from inspiring English sources

Figure 3 illustrates the analytical performance using the expressions given in Section 6.1.

For the temperature field, we have used the expressions given by the Eqs.

Using this fact, one can reach the expressions given in Theorem 9.

An easy computation shows that the expressions given in (59) and (60) satisfy the integral equation (38).

Furthermore, for the special case of orthogonal transmission, one can easily verify that the means and variances reduce to the expressions given in[3].

To study the substrate effect in band gap opening in graphene, we compute DOS and electron band dispersion near Dirac point using the expressions given in Eqs.

All the expressions give logarithmic relationships between photovoltage and light intensity when the concentration perturbations are small.

It is described by the expression given in Eq. 5.

The final computation of the composite indicator is done using the expression given in Eq. 7.

The Riemann-Liouville fractional integral of order, inversion of is the expression given by (2.2).

The expression given in (3) was replaced in the second edition of their textbook (equation.