Sentence examples for involved and valid from inspiring English sources

Exposures are typically at low concentrations, measurements in water are frequently insufficient, chemicals are present in mixtures, exposure periods are usually long, multiple exposure routes may be involved, and valid biomarkers reflecting the relevant exposure period are scarce.

Finally, 200 valid samples for each city were involved, and the total number of valid samples was 13,600.

"I think there are valid reasons for being involved, and I think we are doing the right thing, but just in the wrong way".

This is a hot button topic among all neighbors, and all involved have valid points of view.

Most epidemiological studies involve complex data and valid analysis and interpretation of the data would be much more likely if those responsible for the study design and data collection are involved.

This program, recently demonstrated effective, aimed to optimize the ability of people with ABI to perform activities and improve their participation by using individual and group interventions involving ecologically valid activities inside (e.g., in the gym and kitchen) and outside the hospital.

There is an optimum solution for (20), where arg max i { Γ i | i ∈ W } is involved in a valid combination, if there exists at least one valid combination.

Let l = arg max i { Γ i | i ∈ W }. If there is an optimum solution that does not use l in any valid combination, then swapping l with any element involved in any valid combination found will not affect the optimality of the solution.

ℬ contains indices that the corresponding SNRs are not involved in any valid combinations.

where ℬ is the set that contains indices of packets which cannot find themselves involved in any valid combinations.

Also, assume that { Γ a 1, Γ a q } is found as a valid pairwise combination by Algorithm 1. From Lemma 1, we know there is an optimum solution, where Γ a 1 is involved in a valid combination.