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On page 6.3.1 we introduced the notion of a term-document matrix: an matrix, each of whose rows represents a term and each of whose columns represents a document in the collection.
For each subshot, the similarity matrix (mathbf {A} in mathbb {R}^{N_{k} times N_{k}}) and the matrix L=D −1/2 A D −1/2 are computed, where D is the degree matrix each of whose diagonal entries is the sum of the elements belonging to the same row.
It is enough to know that there are 83,509 rows in our data matrix; each of them corresponds to one reported road traffic accident that occurred in the years 2004 2008 in Finland, and more than 100 columns corresponding to information collected by the road authorities.
On the basis of this mechanistic codon substitution model, we estimated the w ab by maximizing the likelihood of an empirical amino acid or codon substitution frequency matrix, each of JTT, WAG, LG, and KHG [ 26].
Selective constraints on the respective types of amino acid replacements are tailored to each gene with a linear function of a given estimate of selective constraints, which were estimated by maximizing the likelihood of an empirical amino acid or codon substitution frequency matrix, each of JTT, WAG, LG, and KHG.
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In absence of errors in the SNP matrix, each column of M can contain one or two distinct elements.
The 3D faces are available in the form of four matrices, each of size 640 × 480.
for is the subfilter to be identified and (29). is a matrix constructed by Fourier matrices each of size.
In the case of channel vectors or matrices, each of the entries is independently modeled as in (38).
Two experimental matrices, each of 11 experiments, were designed, then experimentally performed and the corresponding fluorescence intensities were measured.
It is worth mentioning that the dual problem involves just K scalar variables, however, the primary problem contains K unknown matrices each of size N i × N i.
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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