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The operating conditions leading to parametric instability are analytically identified.
Aside from this possibility, we have analytically identified which other strategies could possibly be optimal for each model.
There the authors analytically identified the steepening mechanism that allows the singular solutions to emerge from smooth spatially confined initial data.
We analytically identified dispersal-limited and cosmopolitan species in reference wetlands, with distance to reference wetlands and area of surrounding reference wetlands important in determining composition.
The thickness ratio and the modulus ratio of current collector to active plate are analytically identified to be the important influence parameters on the stress.
Toxicity measurements on solid phase-extracted (SPE) samples revealed that toxic compounds not analytically identified were still present in the plume, suggesting that toxicity measurements could be helpful in assessing natural attenuation in leachate plumes.
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Given the complex nature of chemicals with endocrine-disrupting properties as well as the likelihood of a large number of yet unknown EDCs that are present in sewage effluent it would not only be prohibitively expensive but also virtually impossible to analytically identify all of these chemicals due to detection limits in the available analytical methodologies.
The method of multiple scales is applied to analytically identify principal and combination instability boundaries as closed-form expressions.
Even when we can analytically identify evolutionarily stable states in a particular game, which is suggestive of norms that will be converged upon, we now have a problem of claiming that this norm has prospects for long-term stability.
This approach is based on a Rayleigh Ritz method to analytically identify the eigenmodes of the structure, which is currently studied for the application as a so-called 'wakefield dechirper'.
My models were developed for the specific purpose of analytically identifying the conditions for ASS in the presence of multiple resource use.
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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