Sentence examples for routine approximation from inspiring English sources

Under the conditions of Theorem 1.1, it can be seen that the result for indicator functions by routine approximation arguments is similar, for example, to those in Lacey and Philipp [12], that is, (1.6).

Remark 1.3 It can be seen by routine approximation arguments similar, e.g., to those in Lacey and Philipp [12] that, under the conditions of Theorem 1.1, the result in (1.4) holds for indicator functions, i.e., lim n → ∞ 1 D n ∑ k = 1 n d k I ( S k k ≤ x, M k − b k a k ≤ y ) = Φ ( x ) G ( y ) a.s.s

Furthermore it provides several predefined integration routines and numerical approximation techniques.

For approximation of routine in vivo exposure conditions to airborne particles, the BDS was not subjected to charge neutralization before addition to cell cultures.

However this is not the case for the spatial argument and so we propose to make use of automated mesh generating routines to both localise the approximation, allowing quadrature costs to be kept moderate, and give versatility in the code for different geometric configurations.

As such, our in silico optimization of the cDNA-AFLP routine is a much more realistic approximation of experimental (in vitro) conditions.

These different aspects, all obtainable during a routine outpatient visit, allow provision of an approximation of the effective AF/AT burden influencing CRT delivery.

This novel technique was compared against both numerical approximations and the MATLAB bvp4c routine for solving Falkner-Skan and MHD boundary layer problems.

In order to apply these methods for routine use, several systematic errors due to the modelling approximations should be calibrated.

To implement NLS for non-cooperative and constrained NLS for cooperative networks (Coop-NLS), we use the MATLAB routine lsqnonlin[48] initialized randomly and fmincon[48] initialized and constrained with outer approximation, respectively.

However, we have given an approximation of the likely proportions of disease burden that routine health care systems in rural districts in Tanzania faced in 2007.