Sentence examples for by solving this expression from inspiring English sources

In previous works [1, 2] the complex propagation constant was obtained by solving this expression.

By solving this integral, we obtain the final expression for the bit error probability given by P b = 1 2 ∑ i = 1 L ∑ k = 1 N R A k i 1 - ν ̄ i 1 + ν ̄ i ∑ j = 0 k - 1 2 j j 1 4 1 + ν ̄ i j, (18).

By solving this, we get (2.17).

Then are reduced to Mathieu-Hill equation and by solving the expressions for the boundaries of instability regions of EG sandwich cylindrical shells are obtained.

At a stratigraphic depth where the highest experimental temperature is exceeded, the AGC of shale can be acquired by solving a relational expression established between gas content and depth.

At a stratigraphic depth where the highest experimental pressure is exceeded but the highest experimental temperature is not, the AGC of shale can be obtained by solving a relational expression between pressure and AGC established under stratigraphic temperature conditions.

It follows by solving the integral in the expression of (u_{x}(0,t)) given in (43).

and by solving we get the following expression for the LMMSE weighting coefficients: (19).

It follows by solving the corresponding integral in expression (67) and the use of identity (53).

It follows by solving the integral in the expression of u given in (59) and the use of identity (53).

With the obtained results, the filter design approach is proposed and the filter gains can be obtained by solving a condition in the expression of linear matrix inequality.