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And it is more appropriate to apply this condition in industrial application owing to the high feed to inoculum ratio and organic loading.
Using a live-imaging approach allowed us to apply this condition and to focus on the primary defects.
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We introduce a necessary condition for a state to be separable and apply this condition to the structural physical approximation of an optimal positive map and give a proof of the fact that the SPA need not be separable.
However, to apply this tool to animals under field conditions, one critical hurdle to overcome is the separation of toxicity-induced signals from background noise associated with environmental variation and other confounding factors such as animal age, genetic make-up, physiological state and exposure length and route [10], [11].
Nevertheless, it has been difficult to determine the importance of these effects under natural field conditions or to apply this knowledge to management or restoration.
It is difficult to apply this strategy for the range of conditions we have identified in our study – no indication other than cataract is of sufficient prevalence to justify a visiting specialist for that indication alone.
This idea of a perfect gas of course involved the assumption that gases, as they get farther and farther removed from their liquifying point, reach at last a fixed and stable condition, when no further change in their qualities takes place --- at any rate for a very long time --- and Boyle's law was supposed to apply to this condition.
Applying this condition to a fairly general class of infinite-horizon deterministic optimization problems in discrete time, we establish a new result on the existence of an optimal path.
When applying this condition to the given Gaussian channel, the PDC would be as follows: If for all Z ∈ G ( P 1, P 2, P s ) I ( Y p ; X i | W ) ≤ I ( Y s ; X i | UW ), then R g o ⊆ R ig r.
Applying this condition to microarray analysis resulted in the induction of 211 and repression of 15 genes.
The following steps should be followed in applying this condition.
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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