Sentence examples for using the generalized formula from inspiring English sources

Finally, the matching and missing values are combined globally using the generalized formula.

For ℛ 2, 4) code, ϑ = |A| = 140, this parameter can be determined using computer simulations or by using the generalized formula in [26].

It means that the missing value reduces the similarity when compared to the matching value after combining them using the generalized formula.

GG-wT-similarity algorithm computes matching and missing values separately by using Algorithm 3 and Algorithm 4. Finally, it combines the matching and missing values using the generalized formula given in Eq. 2 and the GG-wT-similarity algorithm is given in Algorithm 5.

Then, using the generalized Itô formula and Dynkin's formula, we present the Feynman-Kac formula in the context of the Dirichlet problem in Section 4, the initial boundary value problem in Section 5.

Moreover, define the function V = ln y, using the generalized Itô formula, we have.

Define the Lyapunov function V (t, X2) = e t ln X2, using the generalized Itô formula, we obtain.

The image force acting on the piezoelectric screw dislocation is calculated by using the generalized Peach Koehler formula.

In the low magnetic field regime (B≤1T), we obtain the transverse thermopower Syx that quantitatively agrees with the Syx calculated from resistivities using the generalized Mott formula.

The image force acting on piezoelectric screw dislocation is calculated by using the generalized Peach Koehler formula.

Using the generalized Itô formula, we compute that begin{aligned} Ebiglvert boldsymbol {x}(t bigrvert ^{p}-Ebiglvert boldsymbol {x}(s bigrvert ^{p} =&E int_{s}^{t}frac{p}{2}biglvert boldsymbol {x} u bigrvert ^{p-2}(2boldsymbol {x}^{T} u boldsymbol {f} bigl( boldsymbol {x}_{u},u,r u) bigr) &+ p-1 biglvert mathbf{g} bigl( boldsymbol {x}_{u},u,r(u) bigr)bigrvert ^{2},du.