Sentence examples for measurable for each from inspiring English sources

(i) is measurable for each.

(i) is measurable for each   (ii) is u.s.c. for almost all  . is measurable for each. is u.s.c. for almost all.

Then the mappings and are measurable for each pair such that for all.

A mapping, is said to be measurable if is measurable for each open subset of.

Assume that the models of following agents in the considered systems are unknown, and the state of the leader agent is not completely measurable for each follower.

Thus from [[24], Theorem 1.2.1] we infer that t → f t, ϕ, x) is measurable for each ( φ, x ) ∈ ℬ × X.

First note that F 𝜗 (·,·,z,a) is (mathcal {B}([0,T])otimes mathcal {F}_{T})-measurable for each ((z,a,vartheta)in mathbb {R}^{n}times mathbb {S}^{>0}_{n}times mathbb {R}^{n}) since it is (mathbb {F})-predictable.

(C t)) is a standard Liu process defined on a given filtered credibility space ((Theta,mathcal{P},{ mathcal{P}_{t}}_{tgeq0},operatorname{mathbf{Cr}})) with a normal filtration ({ mathcal{P}_{t}}_{tgeq0}), which is an increasing and continuous family of σ-algebras of (mathcal{P}), and contains all of Θ-null sets, and (C t)) is (mathcal{P} -measurable for each (t >0).

A multivalued map is said to be measurable if, for each, the function defined by (2.11). is measurable.

A multivalued map (G: Jrightarrow P_{bd,cl,cv} (H) ) is said to be measurable if for each (xin H), the function (t mapsto D x, G t))) is a measurable function on J. Let (G: Hrightarrow P_{bd,cl} (H) ) be a multivalued map.

A multivalued map (G: Jrightarrowmathcal{P}_{bd,cl,cv} (H) ) is said to be measurable if for each (xin H), the function (t mapsto D x, G t))) is a measurable function on J. Let (G: Hrightarrow mathcal{P}_{bd,cl} (H) ) be a multivalued map.