Sentence examples for in any numerical from inspiring English sources

It is argued that this PAMR scheme can be applied in any numerical method if the unstructured tetrahedral mesh is adopted.

As in any numerical method, however, it has its weaknesses, namely, for flows in which the capillary force is the dominant physical mechanism.

To conclude, the constitutive law provided in this paper has very good resemblance to the actual behavior of austenitic and therefore useful to represent the inelastic properties of these steels in any numerical modeling work.

Furthermore, the convective terms for both diffusion and heat transfer and the viscous and reaction generation terms in the energy equation are also linear and can be handled with relative ease in any numerical solution.

Using the discrete Hahn polynomials in a projection approach will not result in any numerical calculation errors.

A weakness of the paper is that one cannot be absolutely sure (because of the uncertainty implicit in any numerical evaluation) that the bound demonstrated by the mathematics of section 3 and Text S1 Section B is sharp.

This approach is general and can be employed in conjunction with any numerical techniques such as finite element or boundary element methods to evaluate the QFM SIFs at the nanoscale for many fracture problems in engineering practice.

In other words, any numerical algorithm that fits into the general framework of Algorithm 2.2 will converge with optimal rate if it satisfies (A1)–(A4) below.

Moreover, the contrast of passive listening vs. the baseline condition (pink noise) indicated that even in the absence of any numerical task and consequently in the absence of any need for response selection, number magnitude seems to be automatically activated as reflected by significant IPS activation (see Step 1 analyses).

This perceived growth in nuclear weapons production capability blunts any numerical advantage in nuclear weapons Pakistan may have.

We and others have recently proposed the use of gene list comparison approaches (Cahan et al. 2005; Finocchiaro et al. 2005; Newman and Weiner, 2005) to partially overcome these limitations, showing that meaningful conclusions can be drawn from published gene expression data in the absence of any numerical detail (Finocchiaro et al. 2007).