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Hence we have a bijection between the functions from X to A and the homomorphisms from B to A. Now the typing here is a little casual, so let us clean it up.
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We therefore assessed the relationship between the function obtained from the results of Figure 1A and the repeat-length dependent age-of-onset of HD patients.
The increase in NF-κB but not ALDH1A1 in two lines could result from the differences between the functions of these markers.
High CV values due to healthy edges reduce the differences between frequency functions from healthy and unhealthy activity distributions; i.e. they also reduce the separation between corresponding AUC CVT) values.
For certain domains X in C2 and C3 we describe a rich structure of interconnections between four objects: the set of analytic functions from the disc into X, the 2×2 matricial Schur class, the Schur class of the bidisc, and the set of pairs of positive kernels on the bidisc subject to a boundedness condition.
Very well correlations were found between the subscale hearing function from the COMOT-15 questionnaire and audiological findings.
The binary presence/absence matrix of homologous clusters computed by MCL was used to calculate the Jaccard distance between each strain, using the "dist.binary" function from the R (v3.0.2) package "ade4" (v1.6-2) (Dray and Dufour 2007).
The correlation between dendrograms was determined using the cor_cophenetic function from the dendextend R package [ 55].
To examine the patterns and levels of differentiation among samples, we computed pairwise FST (following Weir and Cockerham 1984) between all samples with the Fstat function from the geneland package in R (Guillot et al. 2005) and tested for pairwise differences in allele frequencies among all samples using chi-square tests, as implemented in the software chifish (Ryman 2006).
This viewpoint is also an aim of the Millennium Ecosystem Assessment (MEA; Reid et al. 2005), the first comprehensive attempt to characterize the complex interactions between the various functions of ecosystems from the viewpoint of their services to humans.
In both protocols, normalization between arrays is done with the normalizeBetweenArrays function from the limma package [ 16].
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CEO of Professional Science Editing for Scientists @ prosciediting.com