Sentence examples for measures there exist from inspiring English sources

Beside (l_{p}) distance measures, there exist several distance measures.

Given the overlap in the content of the three ND measures, there exist fairly robust correlations among them (r = 0.88 0.94) in both the AA and EA samples.

For specific measures, there exist automatic methods that identify such a point, some of them being theoretically sound [ 21], while others are based on heuristic geometric observations [ 20, 37].

Then for arbitrary positive number satisfying and a set with finite linear measure, there exists a sequence of positive numbers such that.

For any sequence of probability measures on which converges to a probability measure, there exists a probability space and random variables, with values in such that the probability law of (resp., ) is (resp., ) and -a.s.s

We show that every superparabolic function satisfies the equation with a positive Radon measure on the right-hand side, and conversely, for every finite positive Radon measure there exists a superparabolic function which is solution to the corresponding equation with measure data.

The main motivation behind these approaches is that while the expression levels of thousands of genes have been measured, there exists a smaller subset which is representative of the underlying phenomenon being investigated.

We prove that for every good measure μ∈S there exist countably many measures {μi}i∈N⊂S such that the measures μ and μi are homeomorphic but the tail equivalence relations on the corresponding Bratteli diagrams are not orbit equivalent.

Performance can only be measured if there exist clear standards and measurements.

According to the Radon-Nikodym Theorem, if T V ( f ) < + ∞ then the distribution Df is a measure and there exist a vector-valued function ∇ f ∈ L 1 ( Ω ; R N ) and a measure D s f, singular with respect to the N-dimensional Lebesgue measure L N ⌊ Ω restricted to Ω, such that D f = ∇ f L N ⌊ Ω + D s f.

However, in comparison with experimentally measured properties, there exist some limitations in both approaches.