Sentence examples for demonstrate the assumptions from inspiring English sources

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

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.

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.

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.

The aim of this contribution is to demonstrate the latter assumption by proposing an advanced multiobjective genetic algorithm design for the 1/3 variant of the time and space assembly line balancing problem which involves the joint minimization of the number and the area of the stations given a fixed cycle time limit.

The numerical as well as experimental investigations carried out on the model demonstrate the robustness of assumptions made for the analysis carried out towards respecting design code limits as well as raise the confidence on the structural integrity of the roof slab.

The base transit time calculated analytically is compared with numerical results in order to demonstrate the validity of the assumptions made in deriving the equations.

The induced base transit time calculated analytically is compared with numerically obtained results in order to demonstrate the validity of the assumptions made in deriving analytical expressions.

In the sequel, we demonstrate that the assumptions ((A_{1})) and ((A_{2})) are satisfied.

In this Comment, I demonstrate that the assumptions underlying the authors' surplus-enhancing result imply a straightforward and testable hypothesis.