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Exact(6)
A keyboard is manipulated (or driven by paper or magnetic computer tape) to select the matrices needed to compose each line of text, including tapered spacebands, which automatically wedge the words apart to fill each line perfectly.
The values in the prior matrices needed to be discretized to differentiate links from non-links.
MOTIF-EM also gives relative geometric rigid body transformation matrices needed to dock/fit the extracted conserved domains from the Cα backbone structure into the cryoEM map.
Every batch of matrices was characterized for quality control; matrices needed to be thicker than 7 μm while both types of ECMs were required to display the fiber organization characteristics associated with in vivo ECMs (as mentioned above).
This artifact may be resolved by re-running a Markov chain after each merge using the newly obtained model, which will allow to re-estimate the posterior variance-covariance matrices needed to predict the next merge operation.
Noting that each measurement m j is simply proportional to a linear combination of fluxomers, the residual expression eq. 12 takes the form (13) ε = [ d i a g (y ^ ) T - V ] x, where T and V are transformation matrices needed to convert fluxomers to isotopomer measurements and the diag operator converts its vector argument into a diagonal matrix.
Similar(54)
That is to say, derivative matrices need to meet certain conditions.
This means that only those entries corresponding to the unseparated frequency bins in the correlation matrices need to be updated.
It is well known that the FEM matrices are generally sparse and hence only the non-zeros of the matrices need to be stored for eigenvalue analysis.
The current manuscript is actually an extension of [24] since neither the channel matrices need to be diagonal nor the destination noise is restricted to be zero.
Thus, before computing a high-quality model, the reliability of the L-curve approach and performances of various regularization matrices need to be evaluated.
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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