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It is applicable for a class of design and covariance matrices which involve Kronecker products.
Most current connectome study designs are based on brain connectivity matrices, which involve the computation of summary statistics on a global or nodal level [1].
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Then, we propose a parallelization strategy for block tridiagonal matrices which involves a combination of Schur complement calculations and cyclic reduction.
These equations are modified with a matrix, which involves phase direction and pre-stress components.
The controller is updated on-line without recalculating the controller gain matrix, which involves a matrix inversion.
In these cases, the relationship can be expressed in a form where the imaginary part of the modal matrix is equal to the real part of the modal matrix post-multiplied by a matrix which involves an arbitrary real orthogonal matrix and some diagonal matrices which are determined directly from the complex roots.
The first is gastric medium ingression into the food matrix; the second step is the dissolution of solids in the food matrix, which involves enzymatic and acid hydrolysis that promote leaching of the solid; and, finally, the diffusion of the soluble solids across the hydrated matrix into the gastric medium.
Next was a "progressive matrices" test, which involved choosing a visual pattern that matched a matrix of other patterns.
10, 17– 19 Specifically, the events leading to COPD, which involve matrix remodeling with excess growth factors and matrix metalloproteinases, are also important in promoting epithelial mesenchymal transition, a premalignant change found in both COPD and lung cancer.
Endothelial cell migration requires extracellular matrix proteolysis, which involves at least two matrix-degrading proteases, the plasminogen activator (PA)/plasmin system and the matrix metalloproteinase (MMP) family acting in a concerted manner (10).
Matrix turnover, which involves both the synthesis and degradation of matrix components, is important for the maintenance and repair of tendons.
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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