This notion of measurability is also called in the literature weak measurability or just measurability, in comparison with the strong measurability: the correspondence T : Ω → 2 Y is said to be strong measurable if for every closed subset V of Y, the set { ω ∈ Ω : T ∩ V ≠ ∅ } is an element of ℱ.
This notion of measurability is also called in the literature weak measurability or just measurability, in comparison with strong measurability: the correspondence T : Ω → 2 Y is said to be strong measurable if, for every closed subset V of Y, the set { ω ∈ Ω : T ∩ V ≠ ∅ } is an element of ℱ.
One of the main catalysts for the development of mathematical theories of measurement was an ongoing debate surrounding measurability in psychology.
Here, a dedicated laboratory set-up with well defined geometry and movement in the shear, and high measurability in terms of force and geometry is designed, built and verified.
As expected, there was a positive correlation between SNR and measurability in promoter regions (correlation coefficient is 0.25, Figure 6B).
We remark that continuity fails in the case of Stepanov type functions and only measurability and integrability are required to work with this class of functions.
In the proof of these results, we also analyze the relations occurring between Lebesgue spaces of space time variables and Lebesgue Bochner spaces of vector-valued functions, with a special emphasis on measurability issues and particularly referring to the case of space-dependent variable exponents.
Results about norm-Borel measurable selectors for multi-functions satisfying stronger measurability properties but without the classical requirement of the range Banach space being separable are also obtained.
In Definition and Proposition 1.2 it is sufficient to require measurability and finiteness almost every where in place of continuity because of the following theorem (see [10, page 105, Theorem.1b] and [11]): if the function is measurable and finite almost everywhere and if in addition (1.9).
Whilst success can be framed relatively easily in terms of interactions with end users, difficulties of definition and measurability emerge in relation to the extent to which EDSS achieve intended outcomes.
Consequently, team leaders scored significantly lower on measurability than in the other collaboratives, which is also reflected in the low percentage of teams with complete data.
