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(This same assumption is required for validity of an analysis that ignores incomplete parent-offspring trios).
A linear output assumption is required in the majority of the current works.
Furthermore, thanks to this new mathematical approach the slope factor is rigorously defined in all regions of operation and no empirical assumption is required.
Arbitrary large set of heterogeneous converters can be handled and no frequency separation assumption is required, hence offering tractability without sacrificing performance.
No assumption is required on the number of domains or geometry of the sample; the only constraint in the model is that the current circulation should be confined in the basal plane and uniform in the sample thickness.
The analysis of the distribution of the stock-returns plays an important role in financial theory since a distributional assumption is required for mean variance portfolio theory, theoretical models of capital asset prices, determining the price of derivative products, efficient estimation by maximum likelihood procedure and establishing forecasting confidence intervals.
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In the latter study, an important assumption was required in deriving the prediction that GS and TS are independent.
This assumption was required to derive otherwise unknown demographic parameters (i.e. fraction of silver eels successfully migrating to the Sargasso Sea for reproduction).
Complying with model assumptions is required for model-based methods to result in reliable estimates.
However, to exploit the full potential of the multiple-specimen approach, a thorough understanding of its theoretical foundation, and a detailed experimental verification of its implicit assumptions is required.
While this study shows that previous inferences of fertilization success from paternity data are valid for this species, rigorous testing of these assumptions is required to ensure that differential embryonic mortality does not confound estimations of true fertilization success.
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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