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In the same vein, the principal Eigen vectors of the normalized criteria matrix gave the relative weights of the criteria (W j ).
From these data, we created a transition matrix, Q, and calculated the fundamental matrix of Q, N, using the formula
A mixed linear model analysis including the fixed effect of the sex of the animal and the random animal effect parameterized through the identical-by-state relationship matrix gave the highest hits at 67.333 Mb (−log10 p-value = 22.4) and at 68.951 Mb on OAR12 (−log10 p-value = 21.1) as shown in the Q-Q and Manhattan plots of the −log10 p-values (Figure S1).
For each presented letter, the matrix gave the probability of each letter report.
From all matrices, α-CHCA matrix gave the highest signal intensity for PTX and MTX.
Summing the rows (or columns) of the between-farm association matrix gave the total farm-level between-farm association frequency.
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However, the eigenvectors of Fisher information matrix give the observable and unobservable component.
Each cell of the matrix gives the payoffs to both players for each combination of actions.
The unique null vector of this new matrix gives the estimate of the unknown vector.
Every element of this matrix gives the pairwise weight measures of the interactions.
The correlation matrix gives the correlation between collaborative members in different fields.
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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