Sentence examples similar to demonstrated the assumption from inspiring English sources

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Whereas the potentials of the methods have been well demonstrated, the assumptions and limitations behind them are often not clearly stated or not well understood.

To demonstrate the assumption, we try to adjust the length and the covering area of other two levels to match level 3 and compare their production data as shown in Fig. 10.

Although field plots were often elliptical, previous research demonstrates the assumption of circularity to have little effect on values for key LiDAR height metrics (<0.22%) within this dataset (Adams and Pont 2012).

It clearly shows that the stress varies with the fluid density nonlinearly, thus demonstrates the assumption that "the force between fluid and rock is supposed to be proportional to the fluid density" used by former studies (Martys and Chen 1996; Hatiboglu and Babadagli 2007, 2008) is not appropriate.

In this section, we demonstrate the assumptions on which each method is based and the conditions where one can outperform the other.

While we demonstrated the validity of the assumption in one of our RNA-seq data set, we also tested the XBSeq under the uniform or normal model for background read counts while keeping the same NB model for gene expression.

Previous studies have demonstrated that the assumption of planar fault geometry does not cause significant modeling effects through inversions of static geodetic displacement (Zhou et al. 2014; Lee et al. 2011).

These rainfall simulation experiments indicated a significant positive correlation between the saturated hydraulic conductivity (Ksat) and the relaxation mass depth and, thus, demonstrated that the assumption of a spatially constant relaxation mass depth is likely to be invalid.

Firstly, it is demonstrated that the assumption of a rigid framework may be sufficient for simulating adsorption isotherms while diffusivity requires a flexible framework, especially when a diffusing molecule is bigger than the pore window of the MOFs, with an appropriate force-field and charges.

However, this result was demonstrated under the assumption of identical degradation rates.

We demonstrated that the assumption of negligible air resistance biased this conclusion.

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