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Unfortunately, since x and y have distinct variable spaces, a model including shared effects cannot be defined as simply as in Equation (2).
This approach is suitable, especially when the demographic parameters are unreliable and an explicit demographic model cannot be defined (as is the case for cattle) (Pickrell et al. 2009).
"There is a small group of people who cannot be defined as protestors/demonstrators.
There are a number of organic compounds that, although related to the vitamins in activity, cannot be defined as true vitamins; normally they can be synthesized by humans in adequate amounts and therefore are not required in the diet.
So goodness cannot be defined as causes pleasure.
The notion of phenomenal indistinguishability of unrepeatable experiences cannot be defined as a statistical notion.
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The detailed mechanism cannot be defined at present, as the molecular composition of the PTP remains an unsolved riddle.
This Absolute cannot be defined, however, as God; each person is himself the Absolute as the Absolute ego.
Subscriptions add much more flexibility across the board to enormous categories of apps that cannot be defined specifically as "subscriptions to services".
This may not be true: expert connoisseurship [ 6] can recognise situations which cannot be defined, just as a connoisseur may be able to recognise the quality of a new whisky without a checklist.
They are everyone – and, as such, cannot be defined by a term as restrictive as "gamer".
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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