When is measurable, from (2.6), we obtain that is measurable.
Each of these parameters is measurable from ground based tests, making it facile to predict flight system performance.
((H_{1})):: The mapping (F JtimesOmegatimes Yrightarrow Y) is measurable from ((Omega_{b}times Y,mathscr{P}_{b}timesmathscr{B}(Y))) into ((Y,mathscr {B}(Y))).
The mapping (F JtimesOmegatimes Yrightarrow Y) is measurable from ((Omega_{b}times Y,mathscr{P}_{b}timesmathscr{B}(Y))) into ((Y,mathscr {B}(Y))).
We say that f satisfies Carathéodory conditions if (i) for any x ∈ X, the map t → f ( t, x ) is measurable from Ω to Y; (ii) for almost all t ∈ Ω, the map x → f ( t, x ) is continuous from X to Y. . for any x ∈ X, the map t → f ( t, x ) is measurable from Ω to Y; for almost all t ∈ Ω, the map x → f ( t, x ) is continuous from X to Y. Definition 1 (Nemytskii's operator).
A function f : Ω × X → Y is said to be a Carathéodory function if (i) for any fixed x ∈ X, the function t → f ( t, x ) is measurable from Ω to Y; (ii) for almost any t ∈ Ω, the function f ( t, ⋅ ) : X → Y is continuous. . for any fixed x ∈ X, the function t → f ( t, x ) is measurable from Ω to Y; for almost any t ∈ Ω, the function f ( t, ⋅ ) : X → Y is continuous.
(S t,r omega S r,s omega)x=S t,s omega)x) for all (sleq rleq t) and (xin X), (S t,s omega)) is continuous in X for all (sleq t), for all (s< t) and (xin X), the mapping (omegamapsto S t,s omega)x) is measurable from ((Omega, mathcal{F})) to ((X,mathscr{B}(X))), for all (tinmathbb{R}, xin X), and (mathbb{P} -a.e.
Extraction for some resources has reached such proportions that evidence is measurable from space.
Results indicate that emission dipole orientation is measurable from the intensity image except for the ambiguity under dipole inversion.
We view efficiency as a quantity that should be measurable from a solution, based on information about target achievement and costs.
