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"The threat matrix was just on fire.
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Whatever that jolly crew of madcaps and bon vivants was fighting, it did not resemble the actual cold war, and I think it's safe to say that the clandestine derring-do performed by the earnest and muscular young protagonists of "Alias," "24," "MI-5" and "Threat Matrix" is just about as fanciful.
The covariance matrix is just related to σ 2, so the first part of Equation 31 can be ignored.
end{aligned} (10 Because the analysed set of matrices does not contain any matrices with complex elements, it would be some simplification to say that a Hermitian matrix is just equal to its transpose what can be observed in Fig. 1.
We believe that our tridimensional matrix is just as effective as other implants, as we create a semisolid environment that allowed cells to better establish and be properly maintained at the injury site.
The speech distortion index is always greater than or equal to 0 and should be upper bounded by 1 for optimal filtering matrices, which corresponds to the case where the filtering matrix is just a matrix of zeros; so the higher the value of υsd(H′) is, the more the desired signal is distorted.
The matrix is just getting much smarter at appropriating and co-opting food.
The random effects model (1) for the imputed data is (A.1 where X denotes the matrix produced by vertically stacking the X i, I(n ) denotes the n by n identity matrix; is just a block diagonal matrix with n blocks of Σ.
Recall that the traces of the corresponding SSCP matrices are just the sum of squares in the Procrustes ANOVA as implemented by Klingenberg and McIntyre [ 13], but this ANOVA is based on an isotropic model (i.e., it assumes that there is an equal amount of non-directional variation at each landmark [ 70]) that is not generally correct for any real data.
Then according to the characteristic value theory, due to the symmetry of (Ntimes N) matrix (U_{x}), there exists an orthogonal matrix P such that ((u_{x_{i}}u_{x_{j}})_{Ntimes N}=PA_{Ntimes N}P^{-1}), where A is a diagonal matrix which is just the characteristic matrix of (U_{x}).
For a while I marveled at every ice cube, every hot bath, but soon electricity subsumed me into its familiar matrix and my house was just a house again, an amnesiac's air-conditioned lair with a glowing computer for a hearth and any number of convenient run-of-the-mill appliances, all in good working order.
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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