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(i) is -quasiconcave in for each ; (ii) for each.
(i) for each, (ii), where is a positive constant independent of.
(i) is measurable and -adapted for each ; (ii), a.s.; (iii) verifies the stochastic integral equation.
(i) is measurable for each (ii) is u.s.c. for almost all . is measurable for each. is u.s.c. for almost all.
(i) is a constant, as as for each (ii) as where is the general solution of the equation. . is a constant, as as for each.
A map (1.7). is called a measure of noncompactness defined on if it satisfies the following properties: (i) if and only if is precompact, for each, (ii), for each, (iii), for each, (iv), for each.
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(ii)for each sequence in, if, then as.
(i) is closed, (ii)for each sequence in, if and for all, then and as.
(i for each,, (ii)for each, is a closed subset of, (iii)for each and, if and, then, (iv for each sequence in with, and as.
(i for each,, (ii)for each, is a closed subset of, (iii)for each and, if and, then, (iv for each sequence in with, and as., (v) is a closed set, (vi for each, is an u.s.c.s.c
We also considered the raw tester scores for each AGREE II question to assess tester experience in determining AGREE II score distributions.
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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