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The meaning of the term "relative abundance" can now be better understood if we reconsider the NMF problem: X = SA, where it is assumed that the row entries of a given column of S sum to 1; an assumption that follows from the preceding discussion on normalization.
It is observed at high SNR the lower order terms ( z n ; n < n <span class="lh">s ) sum to zero, hence, by collecting the higher order terms, we can express (28) in high SNR as, F γ 2 ( z ) = ∑ u = 1 n d σ u n d − 1 ∏ k = 1, k ≠ u n d ( σ u − σ k ) − z μ σ u n d + o ( z n d + 1 ) (27).
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The reweighted rates ( n y x s ) were summed to get an ASYR (Equation 6).
On every image, the surface area of each staining was quantified using ImageJ 1.34 s and summed to obtain the total surface area per explant in mm as previously described [ 9, 23].
Nazarova offered to wire the sum to Savchuk's account, then quickly left the court without speaking to the press.
On Tuesday, it emerged that Pistorius had been paying the Steenkamp's a monthly sum to assist with their living costs.
He was willing to pay the victim's family a reasonable sum to atone for the wrong and buy his nephew's freedom.
These include McDonald's paying a hefty sum to be the destination, and food, featured in Corden's Carpool Karaoke with Selena Gomez.
The judge also awarded Carteret's parent an unspecified sum to offset any tax liabilities it would have to pay on the damages.
A decade ago, when Michael Jackson was accused of molesting a 13-year-old boy, he paid the boy's family a handsome sum to settle a lawsuit.
The judge in the case later rejected Apple's call for the sum to be increased and a sales ban on some Samsung handsets.
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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