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Such a spatial transformation is related to the more general superposition problem that minimizes the sum of the squared distance between two corresponding vector sets (Kearsley, 1989).
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The two corresponding vectors were termed pNZ8148NH-ceQORH and pNZ8148NH-AtHMA1.
This tension involves a conflict between two corresponding ethical principles.
and x2 are observed variables with β2 as the two corresponding row vectors of regression coefficients.
Normalized cross correlation (correlation coefficient) was calculated between two concatenated vectors corresponding to BF and EEG activity (described next), between lags [−50, 50] msec at 1 msec resolution.
GSCA tests the hypothesis that the averaged difference among all pairwise correlations is equal to zero, whereas GSNCA tests that the difference between two weight vectors, corresponding to genes net correlations, is equal to zero.
The differences between a pair of images can therefore be measured as the Euclidean distance between their corresponding vector endpoints.
Linear maps V → W between two vector spaces form a vector space HomF V, W), also denoted L V, W).
Then, for a pair of two genes g and g', we calculate the cosine of the angle between the corresponding vectors (P g and P g ') to obtain the pathway similarity between the two genes, as S gg ' KEGG = p g ⋅ p g ' P g P g ', where | P g | and | P g '| are the norms of the vectors P g and P g', respectively.
For a pair of two genes, we calculated the cosine of the angle between the corresponding vectors to obtain their raw similarity scores and further applied the aforementioned exponential transformation to convert raw scores into final similarity scores.
For a pair of two genes, we calculated the cosine of the angle between the corresponding vectors to obtain their raw similarity scores and further applied the exponential transformation to obtain final similarity scores.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com