Sentence examples for the errors of the approximation from inspiring English sources

In Table 1, we give the errors of the approximation of (B_{n,lambda}(f;x)) to (f(x)).

The error of the approximation is controllable.

By increasing the number of collocation points, the error of the approximation solution decreases rapidly.

The use of the least squares method is also applied to minimize the error of the approximation function.

The parameters can be determined adaptively by minimizing a functional which measures the error of the approximation.

It is empirically shown that the error of the approximation of the parameter variance by the inverse of the Fisher information is reduced as the number of replicated points is increased.

A Boussinesq method is derived that is fully dispersive, in the sense that the error of the approximation is small for all 0⩽kh<∞ (k the magnitude of the wave number and h the water depth).

By comparison with the exact solution, obtained by numerical integration, the error of the approximation can be kept below a limit of about 5%, which is much lower than our previous calculation (part I of this series).

Furthermore, we compute the error of the approximation by using the modulus of continuity and Lipschitz-type functionals.

It is proved that the final uniform error is of order, where is the error of the approximation of the mentioned integrals, is the mesh step.

The error of the approximation (tilde{f}(t)) of (f(t)) therefore decays like (2^{-(m+1)(k-1)}).