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Mass matrix of equivalent model can be calculated considering degrees of freedom for each storey.
A different way to measure mutual coherence is considering the Gram matrix of equivalent dictionary which is computed after normalizing each column of.
Parameter eigenvectors corresponding to the first three singular values (see the text for details) calculated from the SVD of the Fr acute {mathrm {e}} chet matrix of "Equivalent Model 1" presented at the bottom panel of Fig. 10.
In order to understand better the mutual interrelation between the non-uniqueness of this particular inverse problem and the model parameters sensitivity, the SVD (e.g., Jupp and Vozoff 1975, Press et al. 1988) was carried out separately on the Fréchet matrix of "Equivalent Model 1" and of the initial guess of this equivalent model.
Therefore, we arbitrarily excluded the last 49.3% of the intron matrix (introns of approximately loci 88 277) to yield a matrix of equivalent length to the exon matrix.
Similar(7)
Then, the equivalent matrix of Eq. (22) is obtained as Eq. (23).
where (phantom {dot {i}!}mathbf {K}_{mathbf {y}_{n}}) and (phantom {dot {i}!}mathbf {K}_{mathbf {n}_{n}}) are the autocorrelation matrix of the equivalent received signal vector and the equivalent noise vector of the nth user class, respectively.
By considering the requirement that the kinetic energy and strain energy of each bay should be equal to its equivalent beam segment, the mass matrix and stiffness matrix of the equivalent beam segment are derived.
The assembly of mass matrices and stiffness matrices of all the equivalent beam segments defines the overall mass matrix and stiffness matrix of an equivalent beam corresponding to the entire X-braced lattice girder.
The optimal projection matrix is proposed to minimize the distance between the Gram matrix of the equivalent dictionary ΦΨ and a set of relaxed Equiangular Tight Frames (ETFs).
Consider the Gram matrix of the equivalent dictionary (9).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com