Sentence examples for by substituting the values from inspiring English sources

The objective function is then evaluated by substituting the values of the xi in the equation that defines f.

Therefore, in both, (3.29) and (3.32), and the result now follows by substituting the values, (3.40).

Then satisfies (3.21), and the result follows immediately by substituting the values, (3.28).

The minimum MSE can be obtained by substituting the values of the FBF coefficients in the MSE expression (44).

end{aligned} (73)The numerical solution of given problem is obtained by substituting the values of wavelet coefficients into (48).

These derivatives can be reduced to other fractional derivatives by substituting the values of the parameters involved.

By substituting the value of (a_{3}) into the second equation and solving for E, we have (E= AB/5) and (a_{2}=-{B}/{5}).

By substituting the value of ( {widehat{alpha}}^ ) into formula (9), we can obtain random weighting estimator ( {widehat{gamma}}^ ).

The residual flexural strength of a rectangular beam could be determined using Eq. (4) by substituting the value of the calculated C f from Eq. (5).

Initial functions are obtained by substituting the value of Φ: u 0 = L X v ϕ, v 0 = - L X u ϕ (16).

By substituting the value of ε hkl in Eq. (21), the root-mean-square (RMS) lattice strain is given by the equation: ⟨ ε RMS hkl ⟩ = 2 π 1 1 2 2 Δ d h k l d 0 h k l (22).