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Therefore, L 2 is bounded and continuous, as required.
Indeed, if the density function f of τ is continuous (as required by Assumption 3.1(i)), then exactly as above we can show that relation (10) is satisfied for all t≤t 1:= sup{t>0: F t)<1}.
This ordinal outcome did not appear to be continuous as required by a linear model and suggested the possibility of analytical bias.
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These observations imply that a function s → α s is continuous on [0, 1], as required.
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Note that the generalized theory also works for terminal conditions which are merely Borel measurable and do not need to be in the closure of uniformly continuous functions as required in Soner et al. (2012).
Univariate comparisons of neurological outcome were performed by using χ tests for categorical variables or using t tests for continuous variables as required.
Patients were anaesthetised by an experienced intensive care physician, present during the whole procedure, with either propofol or midazolam and fentanyl continuous infusion and as required rocuronium for muscle relaxation.
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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