Sentence examples for by substituting the value from inspiring English sources

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

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

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).

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}).

Since air flows from supply manifold to the cathode (i.e. flows between two different volumes) is going to occupy the volume of cathode, then by substituting the value of cathodes volume (as estimated above 699 cm3) to estimate the value of K sm,out,ca, at standard temperature 15 °C, and for C = 100.

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).

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).

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