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Exact(2)
This is of course valid only for diffusive media, where there are many scattering events before an absorption event.
This is solved by averaging both sides of the equation with respect to space, to give < R∗> = α< S>/(1− β) and is of course valid only when β is clearly less than 1.
Similar(10)
Of course, this inference is valid only if migration costs, working conditions, and living conditions are roughly the same in all source countries.
Of course, such an inference is valid only if people in source countries perceive migration costs, working conditions and living conditions to be roughly the same in all five destination countries.
"A or B; ~A; so B" is of course valid.
They would be valid only for solo entrepreneurs.
For instance, we used the same turbulence parameters for both stations of a baseline, which, of course, is only valid for small network geometries.
This is of course only valid if one accepts the validity of the genera Polygonia and Nymphalis, which some consider to be a single genus Nymphalis, along with our Aglais [e.g., [ 40, 41]].
This is of course only valid if we measure the fluorescence intensity from the same number of cells in each measurement.
Of course this is only valid if (C_mathrm{Fe}) and N cover the same range of (DP_{loss}).
Such leveling-down objections would of course only be valid if there were indeed no better and equally egalitarian alternatives available; and nearly always there are such: e.g. those who can see should have to help the blind, financially or otherwise.
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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