Sentence examples for map is measurable from inspiring English sources

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.

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

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

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

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.

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

be a mapping defined a.e. on the tangent bundle Suppose that for a.e. the mapping is continuous on the fiber that is, for a.e., the function is defined and continuous; the mapping is measurable for all measurable vector fields (see [12]).

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

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}.