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The structural proteins of the enamel matrix must have specific protein protein interactions to produce a matrix capable of directing the highly ordered structure of the enamel crystallites.
In other words, the matrix must have zero columns.
This bandwidth matrix is both positive and definite, important because the matrix must have a square root.
Thus is an eigenvector of corresponding to the eigenvalue This implies that the matrix must have eigenvalue or and (4.17).
It is clear (see [1, Remark ]) that if is odd, then a copositive matrix must have a row with an even number of negative entries.
Moreover, the low viscosity of the halite matrix must have been crucial to allow the evaporites to move freely and produce diapirs (Velaj et al. 1998).
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The matrix was visibly changed after hydrolysis, so matrix effects must have influenced DON determination in the matrix before and after hydrolysis in different ways.
The criteria can be summarized as: (i) The control strength matrix A must have full-column rank; (ii) When a node in the regulatory layer is removed along with all of the output nodes connected to it, the resulting network must be characterized by a connectivity matrix that still has full-column rank.
The estimation of [C] and [T] is performed by using a two-step least-squares algorithm and normalized through a nonsingular matrix [S] according to, (5) E = C T = C S S − 1 T In order to guarantee uniqueness of the solution for the equation (4) up to a scaling factor, there are certain criteria to be satisfied termed as NCA criteria: (a) The connectivity matrix [C] must have full-column rank.
Then, if V is a P-matrix, it must have a nonnegative inverse, implying b=0.
To decode a chunk, the transfer matrix of the chunk must have full rank of m; otherwise, none of the packets in the chunk could be recovered with high probability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com