Your English writing platform
Discover LudwigExact(6)
Let n → ∞ and take superior limit in (3.3).
I typically don't like fussing with point-and-shoot cameras because I much prefer lugging around an SLR because we all know they take superior photographs.
end{aligned} (44) By similar discussion, together with condition (36), we take superior limit on both sides of (44) and derive that limsup_{tto infty} frac{ln I t)}{t}leqfrac{beta^{2}}{2sigma^{2}}- d+ varepsilon+gamma)< 0quad mbox{a.s.} (45) The proof is complete.
If we multiply (frac{1}{t}) on each side of inequality (13) and take superior limit on both sides of it, we can obtain limsup_{trightarrow+infty}frac{ln x_{i}(t)}{t}leqlimsup_{trightarrow+infty} frac{1}{t} biggl[ sum_{0< t_{k}< t} ln(1+h_{ik})+ int^{t}_{0}b_{i}(s),ds biggr]:=b^_{i}, quadtext{a.s.} □.
Apparently, the predominantly white female jury could take superior notes when the language was what Orwell called Doublespeak.
It doesn't take superior math skills to figure out that some of these women work for the very employers who are refusing to provide contraceptive coverage in their otherwise-comprehensive health insurance plans.
Similar(51)
Letting and taking superior limit on the both sides, we have (4).
Letting m → ∞ and taking superior limit on both sides, we get that lim sup m → ∞ Φ ( T ( P T ) m − 1 p ) ≤ Φ ( p ). (2.8).
Taking superior limit of both sides, we get lim_{trightarrow infty }sup Ebigl[Vbigl(P_{1}(t),N_{1}(t) bigr bigr]leq mathcal{K}_{1}.
Like copper, iron hardens under the hammer and will then take a superior edge.
But Perry is not a chin-stroker standing at a distance; he never seems to take the superior position.
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