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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.
Second, it applies even when the outcome and independent variables are continuous, provided sampling of subjects for the validation study is random within categories.
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.
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A function is left dense continuous ( -continuous) provided that it is continuous at all left dense points of, and its right side limits exists (being finite) at right dense points of.
Furthermore, data input/output from the analyses are continuous, providing a semi-quantitative measure to better match modelling results with laboratory experiments [ 14, 37].
A function is rd-continuous provided it is continuous at each right-dense point in and has a left-sided limit at each left-dense point in.
Definition 1.6. is called ld-continuous provided it is continuous at all left and its right sided limit exists (finite) at right dense.
A function is called rd-continuous provided it is continuous at all right dense points of and its left sided limit exists (finite) at left dense.
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