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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.
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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.
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].
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.
In a sequential random field simulation process, the covariance function appears as a covariance matrix Σ which involves a target point for random number generation and its neighboring points having simulated data.
Most of the researchers follow T6 condition of heat treatment for SiC-reinforced Al matrix composite, which involves solution treatment at a certain temperature for a certain period of time, quenching in water followed by ageing at a certain temperature for a certain duration.
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CEO of Professional Science Editing for Scientists @ prosciediting.com