Sentence examples for aforementioned approximations from inspiring English sources

Using the aforementioned approximations, the distribution of a chemical in a biosystem can be described by the scheme given in Figure 14 in section.

Sensitivity analyses varying the aforementioned approximations within plausible ranges led only to very minor variation of the results and are therefore not shown in detail.

The aforementioned approximations are removed by (i) representing the gene expression profile with an S-system model and (ii) directly accounting for variability in experimental data.

For our purposes, when the tightness of the aforementioned approximation is acceptable, such an approximation will be desirable for two reasons.

Preis's sequential greedy algorithm is based on the observation that selecting locally heaviest edges produces the aforementioned approximation within a factor 1/2.

The aforementioned approximation methods are reliable but all require knowledge of the exact distribution of the service time, which is not applicable in our scenario because the distribution of our modified service time is unknown (shown in Eq.  1).

We understand that aforementioned approximation is quite strong and requires further theoretical investigation, but we have shown in this paper that application of such assumption allowed direct incorporation of gene expression time series into FBA model and, together with analysis of other mechanisms of starch metabolism regulation, described time course of starch content.

Focusing on the well-known tandem configuration, based on the geometry-based bistatic formula (GBF) method [19], Wu et al. [20, 21] deduced an exact analytical PT spectrum, and proves that all the spectrums aforementioned are approximations of the very spectrum under certain conditions.

In particular, it is shown that the surrogate model compares very well with reference results at both the macroscale and the structural scale, even for moderate-order expansions, and that the aforementioned closest approximations constitute very accurate approximation provided that the subset onto which the homogenized response is projected is properly chosen.

As aforementioned, the quasi-static approximation is applicable in calculating the optical extinction cross section of a single TiN nano-disk.

Take the aforementioned gull.