Sentence examples for outer measures from inspiring English sources

Here was a young man, outwardly thriving, who tossed outer measures aside characterizing Columbia as "a big, sooty factory," disdaining his work as a freelance book reviewer for the Times and the Herald Tribune (he was twenty-four) as a trivial pursuit.

Here was a young man, outwardly thriving, who tossed outer measures aside — characterizing Columbia as "a big, sooty factory," disdaining his work as a freelance book reviewer for the Times and the Herald Tribune (he was twenty-four) as a trivial pursuit.

We will also prove other results of Hardy-Littlewood maximal operators on homogeneous spaces and on the real line by using outer measures.

Using the Carathéodory extension procedure (see, for instance, Section 9.4 in [30]), we get that η can be extended to the σ-algebra of measurable sets with respect to the outer measure defined by η ∗.

In the proof, we will use the outer measure associated with the Radon measure.

Lemma 2.11 λ ∗ ( E ) ≤ m 1 ∗ ( E ), where λ ∗ ( E ) is the outer measure of E. Example.

Therefore, due to this difference, the proposed formula cannot be considered an outer measure and, instead of measuring the out boundary of the sets, it provides an overall average similarity.

Denote the interval (mathbb{I}=[t_{0},T _{mathbb{T}}= { tau in mathbb{T}: aleq tau < b}). The outer measure of the set (Asubset mathbb{T}) is m^(A)= inf Biggl[ sum_{i=1}^{infty }(b_{i}-a_{i}): Asubset bigcup_{i} [a_{i}, b_{i}) Biggr].

Especially when we slip into becoming overly identified with an outer measure of our worth.

To reduce the computational burden, a heuristic algorithm with polynomial time complexity for finding a unique (relative) reduct is designed by using the inner and outer significance measures of each criterion candidate.

The outer gallery measures 187 by 215 m, with pavilions rather than towers at the corners.