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We now establish our claim in the main text that the estimator α ^ given in Equation 12 for the mixture fraction α is a lower bound when the reference population A′ is diverged from A. Equation 12 gives a correct estimate when A′ = A but becomes an approximation when there is genetic drift between A and A′ or between C and C′.
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The 1996 election led some to believe that Moscow could eventually become an approximation of Western democracy.
Consequently, Pecdf becomes a good approximation of Pperm when N approaches 10.
As we go to the higher levels of refinement of the map, it becomes a closer approximation of the state plan.
As the chain gets longer, the distribution of the samples becomes a better approximation to the joint posterior.
Since this is an acceptable approximation when sizes of target populations are large, it could become awkward to defend it when working with small populations.
It was also proven in ref. 21 that the MM model provides an accurate approximation when.
This result demonstrates that approximation (a) used in (4 - 7) is a good approximation when N = 1024.
As the number of sides increases, it becomes a more accurate approximation of a circle.
While such approaches provide a good approximation when all reactants are abundant, the approximation breaks down when one or more species exist only in small concentrations and the fluctuations arising from the discrete nature of the reactions become significant.
Arguably, this is a good approximation when the relevant time horizon is very large.
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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