Sentence examples for measure such that from inspiring English sources

Let Ψ be a finitely additive measure on the measurable space called probabilistic uncertainty measure, such that Ψ: ℱ → [0,1] with Ψ = 0, Ψ = 1, and Ψ(A) = P(A C ).

Then is a uniquely defined measure such that (2.16).

is positive definite if and only if there exists a unique nonnegative measure such that (15).

Then there exist and together with a set having positive measure such that (3.4).

Let, and let be a set of type and measure such that for all.

(ii there exists a set with finite logarithmic measure, such that for all satisfying and for all, we have.

(2.2). (iii there exists a set with finite linear measure, such that for all satisfying and for all, we have.

It also follows from Lemma 2.2 ii) that there exists a set that has finite logarithmic measure such that (3.1) holds for all satisfying.

Therefore, there exists a subset Ω̃ of Ω with positive measure, such that (bar{u}(x neq0) or (bar{v}(x neq0) for all (xintilde{Omega}).

Therefore, (6.2). almost everywhere on E. From Egorov's Theorem, it follows that there is a subset of positive measure such that (6.3).

In order to estimate accuracy of the programs, we measure the sensitivity, PPV and F-measure such that only interacting base pairs are considered.