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One of the ways to solve this equation is to impose some further assumptions stated under the form of indices of the equation.
When building this model we had to make some further assumptions.
Some further assumptions were made to calculate the maximum pulling force as a function of the sexual size ratio of a pair (see Additional file 1).
Despite of the above fundamental difference, the formulation of the Bayesian approach can coincide with the regularized parameter estimation if some further assumptions hold.
By adding some further assumptions about the nature and distribution of the causative SNPs they obtain heritability estimates of 56%and80%0%.
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Thus, for a source population: Cases ≅ (Births – Emigrations of susceptibles), and for sink regions (and under some further assumption) the Cases ≅ (Births + Immigrations of susceptibles).
If there are more than two phenotypes (such as in diploid models where genotypes take the role of ϕ), then some further assumption, such as Hardy-Weinberg equilibrium, is necessary to achieve dynamic sufficiency.
That a person has incomplete knowledge about a certain topic does not imply without further assumptions that there is some specific fact she does not have knowledge of.
In contrast with typical approaches that require some restrictive assumptions, GAs use only the information provided by a cost function, without further assumptions about the search space.
Various characteristics of galaxies result with no further assumptions.
No further assumptions are required to simulate the periodic patterns of digestion obtained with various nucleases.
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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