Sentence examples for given a homogeneous from inspiring English sources

Consider the theoretical conclusion that, given a homogeneous Poisson process in (S_1cup S_2) with an unknown occurrence rate, where (S_1) and (S_2) are disjoint, if there are k events falling in (S_1), then the number of events of this process falling in (S_2) follows a negative binomial distribution with parameter ((k, frac{|S_1|}{|S_1|+|S_2|})).

Based on this observed inconsistency, we tested for this particular region, which has the largest latitudinal variation in the continent, whether the expected pattern of biodiversity would have been different from the observed pattern given a homogeneous sampling effort.

All crossover models share a common characteristic: given a homogeneous IGC rate, crossover is effective in increasing variation and in breaking LD within duplicates only if it is acting between paralogous regions.

In reduction smelting, both the metallic charge fed into the smelter and the slag formed from the process are oxides; in matte smelting, the slag is an oxide while the metallic charge is a combination of metallic sulfides that melt and recombine to give a homogeneous metallic sulfide called matte.

The whole mixture was stirred vigorously for 5 min to give a homogeneous solution.

The results showed that, the electroless plating process gives a homogeneous and highly robust copper layer with 34.2 μm of thickness within 48 h.

Some 3FGCOEs with highly polar functional groups (4, 7, 16 and 17) were essentially insoluble in CHCl3 at the prescribed concentration; a co-solvent was employed in these cases to give a homogeneous solution.

The scanning electron microscopic analysis of the film, which is in dried state, reveals that the ferrocene polysiloxane forms average 500 nm size spheres and those are evenly distributed in the chitosan matrix to give a homogeneous nanocomposite.

The surface oxidized CNTs are crucial for this significant increase in electrical conductivity, which provides strong adhesion between the nanotubes and the matrix to give a homogeneous carbon nanotube-NiFe2O4 composite.

This survey is an attempt to provide for a complete presentation of interpretability constraints adopted in literature with the following objectives: (i) to give a homogeneous description of all interpretability constraints; (ii) to provide for a critical review of such constraints; (iii) to identify potentially different meanings of interpretability.

Such activities correspond, in medicine, to pathological objects to be considered as targets during the treatment (like tumour in which the same clone of cells gives a homogeneous response in absorbance or resonance) or to physiological objects (like a tissue made of cells having the same function) to be avoided during the treatment.