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From digital simulations of the process, the nearest-neighbour distributions corresponding to the cases x=0, 1/2, 1 or ∞ were obtained and compared with expressions available for x = ∞ and x = 0.
While numerous analytical, numerical, and experimental published works are available for predicting the permeability of media made up of fibers with a unimodal fiber diameter distribution (referred to as unimodal media here), there are almost no easy-to-use expressions available for media with a bimodal fiber diameter distribution (referred to as bimodal media).
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We used RNAseq gene expression available for D. melanogaster in FlyBase (Gelbart and Emmert 2010).
As there was a maximum of four scores for TF expression available for each patient, the mean scores were taken for statistical analysis.
Only complete datasets for DNA methylation and gene expression available for both tumors and adjacent matched non tumor samples were analyzed (47 cases).
When simulating barrier performance, numerous isotherm expressions are available for relating aqueous and sorbed concentrations.
In some cases expressions are available for the distribution of ∑ i = 1 n V i / α i.
For proteins, highly parametrized expressions are available for the EChem term, but the quality of this term for small molecules is variable.
VH gene mutational status, CD38 expression and ZAP-70 expression was available for all of the patients under investigation.
Unfortunately, no closed-form expression is available for the density of inhomogeneous quadratic tests, which poses some concerns and limitations in their practical implementation.
Accordingly, total degree days below 65°F for the winter are generally used as a guide to the heating requirements for buildings, but no simple expression is available for estimating the energy required for cooling.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com