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measurable for all (xin X).
Here is measurable for all, and is continuous for a.e.
Also, since x → g ( ω, x ) is measurable for all x ∈ X, we conclude that h ( ⋅, x ) is measurable for all ω ∈ Ω (see [26], p.868).
(tin E), we know that (g_{n}(t)) is measurable for all n.
(G1) the mapping ( t, ω ) → G ( t, ω ) B - is measurable for all B ∈ β (X).
(F (cdot, u)) is measurable for all (uinOmega); (F x,cdot)) is continuous for a.e.
The mapping x → A p ( x, ξ ) is measurable for all ξ ∈ C ℓ n k.
(i) is measurable for all, for all, and for all measurable functions.
where (i) the functions are continuous and ; (ii) the functions, are measurable, for all and (5.5) . the functions are continuous and ; the functions, are measurable, for all and (5.5).
f(·, x): [0, T] → X is measurable for all x ∈ X, f t, ·): X → X is continuous for a.e.
(xrightarrow A x,xi)) is measurable for all (xiin Cell_{n}), (xirightarrow A x, xi)) is continuous for a.e.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com