Sentence examples for by considering the expression from inspiring English sources

By considering the expression (5) in (3), we see that S n, p f ; z − f z ≤ ∑ k = 1 ∞ c k T n, p, k z − z k = 1 n ∑ k = 1 ∞ c k p p + 1 1 + p r k + 3 k k − 1 2 2 1 + p r k − 1 + k − 1 p + 1 r p + 1 k = 1 n C r, p f. Open image in new window.

The significance of this problem is illustrated by considering the expression of T. reesei Cel7A in yeast.

By considering the expression of only these two microRNAs, it is possible to distinguish between primary and metastatic brain tumors with very high accuracy.

By considering the expression of IL-8 by breast cancer cells and CXCR2 by large vessel and microvascular endothelial cells [ 19, 20], an autocrine effect for IL-8 and the chemokine receptor CXCR2 has been suggested.

Several previous studies have quantified the inhibitory effect of a miRNA indirectly by considering the expression levels of genes that are predicted to be targeted by the miRNA and this approach has been shown to be robust to the choice of prediction algorithm.

To perform feature selection the average difference in correlation (calculated for each edge in a network by considering the expression profiles of the protein-pair joined by the edge) for each hub sub-network over the two groups of interest was calculated.

On subsequent lemmas, similar results are obtained by considering the expressions 1 + β z p ′ ( z ) / p ( z ) and 1 + β z p ′ ( z ) / p 2 ( z ).

On subsequent lemmas, similar results are discussed by considering the expressions p ( z ) + β z p ′ ( z ) / p ( z ) and p ( z ) + β z p ′ ( z ) / p 2 ( z ).

Reversible and irreversible reactions were studied, and deviations from a perfectly mixed CSTR were into account by considering the RTD expression of Wolf and Resnick.

One can give a rough explanation of the results above, by considering the exact expression of n = λ 2 ( 1 - ϵ 2 ) λ 2 ( 1 - ϵ 2 ) + ϵ 2 + ϵ λ 2 ( 1 - ϵ 2 ) + ϵ 2 [15].

In order to determine the nature of the band gap of the nanostructured material, either indirect or direct, the spectral behavior near the fundamental absorption edge can be calculated by considering the following expression of the absorption coefficient versus photon energy (hν) [13]: αhν = A hν − E g n (1).