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Furthermore, data input/output from the analyses are continuous, providing a semi-quantitative measure to better match modelling results with laboratory experiments [ 14, 37].
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Further, (r_{m}) is symmetric (resp. continuous) provided that m is as well.
In this paper we point out (omega^_{m}) is continuous, provided ω satisfies (3) and (4).
( dot{V} ) is uniformly continuous provided (ddot{V}) exists and bounded.
Furthermore, all the conjugacies that we construct are locally Hölder continuous provided that the vectors fields are of class C1.
A function is called right-dense continuous provided it is continuous at right-dense point of and left-side limit exists (finite) at left-dense point of.
Let us recall that, given a partial metric ( X, p ), a mapping f : X → X is continuous provided that f is continuous from ( X, T ( p ) ) into itself.
A function is right dense continuous provided that it is continuous at right dense point in and its left-side limits exist at left-dense points in.
3) ( dot{V} ) is uniformly continuous provided (ddot{V}) exists and bounded. . ( dot{V}left( {x,t} right) ) is lower bounded.
Second, it applies even when the outcome and independent variables are continuous, provided sampling of subjects for the validation study is random within categories.
Definition 1.6. is called ld-continuous provided it is continuous at all left and its right sided limit exists (finite) at right dense.
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