Sentence examples for mapping is measurable from inspiring English sources

Therefore, the mapping is measurable, which completes the proof.

A mapping is called a random operator if, for each, the mapping is measurable.

By [31] the mapping is measurable for ; however, the associated Nemytskij operator is not necessarily continuous.

A mapping is called a random mapping, if for each fixed, the mapping is measurable.

Since the mapping is measurable in, then, for each, is also measurable.

For each there is so that for all, (a a real-valued mapping is measurable for all, (b there is so that (2.8).

The map is measurable for all.

where (5.2). and satisfies the following caratheodory conditions: the map is continuous for, the map is measurable for all, there exists with such that for and, is increasing in for.

For any given measurable mapping, the multivalued mappings are measurable by Lemma 2.5.

A mapping is said to be a measurable selection of a measurable mapping, if is measurable and a.e.

From Theorem 2.3, the set multivalued map (G_{p}) is measurable, so begin{aligned} overline{G_{p} omega)} =& overline{ bigl{ xinOmega: x-F omega,x-F omega0,x inlon_{p} ) Bigr} }, qquad epsilon_{p}= left( begin{matrix} {frac{1}{p}} vdots {frac{1}{p}} end{matrix}right),quad pin mathbb{N}.