Your English writing platform
Discover LudwigExact(1)
Assume that Pλ = P − λW x) admits a positive minimal Green function GPλΩ x, y) for all λ< 0. We prove that lim GPλΩ x,y) = F x,y) where F = 0 for x ≠ y, unless P and P∗ admit ground states φ(x) and ϑ(x), respectively, with eigenvalue zero such that ∫Ω φ z) W z) ϑ z) dz < ∞.
Similar(59)
Patients with low expression of miR-210 and positive minimal residual disease at the end of induction had a much higher rate of relapse or induction failure (P = 0.001).
Next, we investigate the existence and stability of the positive minimal period-two solutions of equation (8).
When there are more pairs with positive minimal value, we chose the pair with the largest minimal value and merge these clusters in the current iteration.
It's a positive return, but minimal.
Valinomycin is known to disrupt the membrane potential of intact mitochondria and was used as a positive control where minimal emission was detected at 590 nm (40).
Following a positive selection in minimal medium containing galactose (on solid agar plate) and a second positive selection with medium containing kanamycin (liquid medium), all the clones analyzed displayed the correct targeting (Fig. 2b).
For each of the quality assessment items the instruments were judged against specific criteria to have a positive rating, a minimal acceptable rating or a negative rating (X), and if information relating to the criteria was not reported 'NR' was recorded [ 24].
Then BVP (1.2) has a positive solution which is minimal in the sense that for any positive solution of BVP (1.2).
Amplifying these activities could have a positive health impact at minimal additional cost.
Based on observations and communications with this doctor, one policymaker indicated that these strategies made a positive difference at a minimal cost and could potentially be replicated elsewhere in Uganda.
Write better and faster with AI suggestions while staying true to your unique style.
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