Sentence examples for measurable set from inspiring English sources

(v) We shall say that a measure is purely atomic if every measurable set of positive measure contains an atom.  .

The Lebesgue measure of a measurable set (Esubseteq mathbb{R}^{n}) is denoted by (|E|).

The Lebesgue measure of a measurable set will be denoted by.

If we have that there exists a measurable set of measure zero such that (2.16).

We say that nearly converges to with respect to as if for every there exists a measurable set, of measure less than such that (2.12).

Let (Esubsetmathbb{R}^{N}) be a measurable set of finite measure and let (z_{j} Erightarrowmathbb{R}^{N}) be a sequence of measurable functions.

Let ν be a positive measure and Ω be a measurable set with (nu(Omega)=1).

There exists a constant (gamma (n)) such that for any measurable set E of finite measure begin{aligned} alpha (E ^2 le gamma (n)D(E).

Let E be a measurable set in ℝ with positive measure.

A measurable set-valued mapping K is called a random set.

It is well known that every measurable set-valued map has at least one measurable selection [8].