Sentence examples for conditions of approximation from inspiring English sources

Approximate reductions strong and hierarchical are those which satisfy the criterion of fundamentalism only approximately (Sarkar 1998; the merit of Sarkar's proposal resides in its systematic attention to hierarchical conditions and, more originally, to different conditions of approximation; see also Ramsey 1995; Lange 1995; Cat 2005).

What these results also indicate is that the most significant approximation made here is in equation 1, and it fails when the conditions of this approximation are not met.

Thus, in this case we recover the well-established conventional angle conditions of such approximations.

Simulations were performed for different conditions and levels of approximation.

Depending on some predefined conditions, the result of approximation can be either a fuzzy number or fuzzy semi-number.

Also, as we observed, depending on some predefined conditions, the result of approximation can be either a fuzzy number or a fuzzy semi-number.

By introducing the dynamic surface control (DSC) method, the bounded condition of the approximation error is removed, and the tracking control is achieved.

Inequalities (4.23) and (4.25) fulfill the condition of -harmonic approximation lemma, which allow us to apply Lemma 2.2.

We handle the absorbing phenomenon without any extraneous assumptions under the condition of diffusion approximation.

The court said: "The purpose of the directive is to lay down minimum requirements intended to improve the living and working conditions of workers through approximation of national provisions concerning in particular the duration of working time.

Assuming the threshold value of the error equal to 5%, the applicability conditions of the two approximations have been individuated for several values of the power-law exponent, showing a crucial role of the rheology.