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The first of these is the one-equation model that is valid when the principle of local mass equilibrium is satisfied; the second is the two-equation model that is not constrained by the principle of local mass equilibrium; and the third is a pseudo one-equation model.
Comparison of Ne to Y is typically based on a coalescent rate λ ′ 2 = 1 / Y that is valid when birth rates are constant.
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While any information about function can be used by the system, we present estimates of performance that are valid when only the amino acid sequence of a protein is known.
We now show that incremental merging is possible; that is, we can start by performing the merging based on a subset consisting of sensor nodes, and it can be guaranteed that the merging decisions that were valid when nodes were considered will remain valid even when all nodes are taken into account.
The courts grant a divorce to mark the end of a marriage that was valid when entered into, whereas they grant an annulment to end a marriage that was void or voidable.
This difference indicates that CIs that are valid when calculated using the multinomial distribution should also be valid in conditions where the hypergeometric distribution of sampling would be indicated.
The term 'hospital' in its title suggests that it is only valid in such a setting but many studies conducted throughout the world have confirmed that it is valid when used in community settings and primary care medical practice.
The advantage of Boolean algebra is that it is valid when truth-values i.e., truth-values ialsity of a given proposition or logical statement—are used as variables instead of the numeric quantities employed by ordinary algebra.e
Note that (4) is valid when ρ12≠0.
If the constant factor (K sigma)) in (11) is not the best possible, then there exists a positive number k, with (K sigma)< k), such that (11) is valid when replacing (K sigma)) by k.
end{aligned} When (alpha=1), the Gronwall inequality indicates that equation (6.13) is valid; when (alphaneq1), the generalized Bellman lemma [44] hints that equation (6.13) is also true.
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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