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Exact(6)
Finally, repeating the above arguments with,, replaced by,, it can be shown that,, where.
In particular, it can be shown that where σ2 = (V11 + 2θ V12 + θ V22).
It can easily be shown that where the parameter p i denotes the true incidence rate in the ith area [ 5].
GEBV can be obtained from model (1A) by setting g= Xβ such that the equation 1A can be written as Assuming that, it can be shown that, where K= XX′.
It could be shown that: Where a prospective analysis was carried out, potential warning signs were mentioned as being present or absent in the majority of charts (93.1%; 1948/2092).
With direct calculation, it can be shown that where Mt is the transpose of M. From matrix product properties transpose(A × B) = transpose(B) × transpose(A), then plugging Eq. (12) into Eq. (6) results in On the other hand, plugging Eqs.
Similar(54)
Alternatively it has been shown that where fibres are added to concrete mixes protection is afforded through increased energy absorption.
It is shown that where the estimator-coder separation principle holds, the controller-coder one fails to be true.
with the usual convention of replacing by It was shown that where is the th Euler number.
Where MX2 is present only as MX+ and X−, ie no uncharged MX2 species are present, under ideal conditions, it is shown that where "+" denotes MX+ and "−" denotes X−, whereas in the case where MX2 is also present, it is shown that where K is the association constant of MX2 from MX+ and X− and c+,0 is the initial concentration of MX+.
It has also been shown that where ras activation occurs this represents an early event in the tumor model system.
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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