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Working on this assumption, application of the Global Forest Products Model to 2009 data indicated that the utilisation of planted forests reduces the world price of all wood products in rough proportion to the amount of product cost related to the wood content.
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This assumption allows the application of the Markov chain approach for developing performance measures.
This assumption makes the application of the model to the RRES a challenging task.
For the near field application this assumption is very realistic, as the isolines of the thickness of the ash layer were used to compare the deposited material around the volcano with the deposited material in the experiments.
In principle, we could test for departures from the MPH assumption, since in the presence of a time-varying exogenous covariate, such as the unemployment rate in the current application, this assumption is no longer required for identification (Brinch 2007; Richardson and Van den Berg 2013).
In our application, this assumption is not necessarily true and consequently employing the theoretical p-value estimation of Kendall' tau is potentially erroneous.
This assumption allows for the application of the RIS formalism to calculate the binding probability and conformational properties of the peptides.
In many real-world face recognition applications, this assumption may not hold as different misclassifications could lead to different losses.
While valid for most industrial applications, this assumption may be inapplicable in some cases, especially for micro- to nano-catalytic particles and low internal surface cases.
However, in many applications this assumption is too restrictive and unrealistic.
In many applications, this assumption is not ful?lled, and then it is interesting to know if a high order method is still effective.
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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