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Quantifying this difference precisely depends on being able to accurately compute cumulative probabilities for multivariate normal distributions with dependence given by (12).
Effective cancer therapy for tumours precisely depends on continuous exposure of the anticancer agents for a prolonged period of time, which is not possible due to the short biological half-life (190 min) of etoposide (Reddy et al. 2006).
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One could estimate s more precisely depending on the width of the strip which would give better decay of correlations results.
The two-part foam has a liquid and misty form just after ejection, which allows it to be placed precisely depending on the movement of the nozzle.
In addition, self-link loops might also be important for the evolution of certain network motifs whose initial emergence might precisely depend on the presence of self-interacting proteins (e.g. the triangle motif unless one triangle at least is already present in the initial network).
It is worth noting that, in the proposed method, the number of bits that an image can carry is image dependent; more precisely it depends heavily on the size of the ridges area: the larger the ridges area is, the more bits can be hidden, and vice versa.
More precisely, it depends on a very fine skin -- as delicate as the lining of an eyelid -- that blankets the soft tissue around the voice box.
More precisely, it depends upon the fact that we're using first-order model theory to interpret this axiomatization.
More precisely it depends on the following equation being satisfied: dim ( W u ( x i ) ∩ I c ( i ) ) + dim ( W s ( x i + 1 ) ∩ I c ( i ) ) ≥ dim ( I c ( i ) ) + 1 (8).
The ability to determine absolute structure precisely also depends on low levels of random and systematic errors in intensity measurements.
This is why Pārthasārathi can coherently take the whole doctrine of intrinsic validity precisely to depend on what Uṃveka took to be an unwanted consequence: its being all determinately contentful cognitions that can reasonably be assumed immediately to confer justification.
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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