Sentence examples for because the approximation of from inspiring English sources

This is because the approximation of (a) in (14) is negligible at high SNR.

It is clear that T ˜ a (max ⁡ ) < T a (max) because the approximation of Eq. (28) compares the gene a-protein output rate to the total translational capacity as opposed to the fraction of capacity, ρ a, committed to m a translation in Eq. (27).

Because these Hessian kernels represented the approximation of the diagonal elements in the Hessian matrix, the Hessian kernel acted like a normalization factor within the sensitive area.

Because the circulant preconditioner is the approximation of the Toeplitz matrix, the proof of the convergence property for the PMS iteration method is similar to the MS iteration method.

They are widely used because of their good properties in the approximation of functions [18 20].

end{cases} These polynomials are widely used because of their good properties in the approximation of functions and can be determined by the following recurrence formula [22]: begin{aligned} &mathrm{Ch}3_{n+1}(x)=2xmathrm{Ch}3_{n}(x -mathrm{Ch}3_{n-1}(x -mathrm{athrm{Ch}3_{0}(x)=1, &mathrm{Ch}3_{1}(x)=2x-1,qquadn=1,2,ldots.

The accuracies of the Taylor series approximations decrease as gets large, because the approximation error is of the order.

The CCM still adds another source of error in the data analysis, because of the approximation taken in the calculation of dC/da, which is performed by taking the derivative of the C = f(a) curve after fitting cubic polynomials [24].

This is because lower modulation orders cannot be switched off even when using only one higher order modulation for the whole SNR region produces the A-BER below δ0, and also because the curve fitting approximation of the BER is used[11].

However, the accuracy of the assumption and the limitation of the analytical solutions have not been examined and because of the approximation, the analytical solutions may lead to significant errors for the buckling loads of shallow parabolic arches in some cases.

Note that, because of the approximation done in (12), (18) can be seen as a lower bound of the algorithm exact error probability.