Your English writing platform
Discover LudwigExact(1)
For example, genetic variants associated with increased low density lipoprotein cholesterol also increase the risk of cardiovascular disease and mortality in accordance with observational studies, 9 and randomised intervention trials have proved that a decrease in low density lipoprotein cholesterol reduces cardiovascular disease and all cause mortality.
Similar(59)
4 It has been proved that a decreasing eGFR is associated with CVD independently of other risk factors.
Coronel et al. reported a preliminary study showing that paricalcitol decreased peritoneal membrane permeability, with diminished peritoneal protein loss and increased ultrafiltration in PD patients [ 23]. Lee et al. proved that calcitriol could decrease peritoneal fibrosis in a rat model of acute CG exposure.
Similarly, we can prove that is a decreasing function of α.
Our previous study also proved that weight loss decreased urinary protein by 51% after 24 months in subjects with obesity-related glomerulopathy (ORG) [ 24].
By a similar method, one can prove that is decreasing.
Theoretically, in order to prove that a reduction in infected necrosis decreases mortality from 20%to10%0%, more than 3000 patients would have to be included in a clinical study [ 25].
In order to prove that is decreasing on, assume on the contrary that for some.
By induction on, we obtain that,,, and prove that is a monotonically decreasing sequence of upper solutions.
Now, we will prove that σ is decreasing, by a contradiction.
At last, we prove that is strictly decreasing on.
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