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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.
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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.
In this section, we demonstrate the assumptions on which each method is based and the conditions where one can outperform the other.
The design of past research demonstrates the tacit assumption that changes in aerobic fitness contribute to the changes in cognitive performance.
Although the actual decomposition of temperature and ozone effects is more complex, this example demonstrates the stronger assumptions taken on when estimating effects of complex, multivariable exposures (compared with the total effects, which require positivity across strata of confounders but not across strata of the mediator, ozone).
She demonstrates how the assumption that detention is a necessary component of competency restoration is wrong.
The autocorrelation at lag 1 ranged between 0.51 and 0.55 for the three exposure variables, which demonstrates that the assumption of independence in the error term of the statistical model (equation 1) was violated.
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.
"Although acting on such drives is popularly thought to be a free choice, the most cursory examination of the evidence demonstrates the limits of that assumption.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com