Starting from physical principles, Zimmerman et al. (1993) derived this interporosity flow equation for liquid using a spherical matrix shape.
Our implementation of the new algorithm with the DAGuE scheduling tool significantly outperforms currently available QR factorization software for all matrix shapes, thereby bringing a new advance in numerical linear algebra for petascale and exascale platforms.
Lim and Aziz (1995) used the same approach to generate shape factors for different matrix shapes.
The dynamic equations are formulated into matrix form for the calculation of the natural frequencies and mode shapes.
This confirms previous observation by Pennikof et al. [38], which demonstrated the need of the surrounding matrix for shape deformation process upon comparison with free-standing particles.
where j is the imaginary number, ω is the ratio of the flapwise bending natural frequency to the reference frequency, and Θ is a constant column matrix characterizing the deflection shape for synchronous motion and this yields {omega}^2MvarTheta ={K}^CvarTheta (35).
We recalculated the same four partial warp matrices (total, body, head and jaw shape) for each assemblage separately and conducted PCA on each partial warp matrix to yield relative warp scores.
SEM observation showed an altered shape for cells cultured on an NF matrix compared with those on smooth films.
The rate of imbibition was evaluated for different matrix size, shape factor, wetting/non-wetting phase types and IFT.
All are heavy-tailed (sparse) and symmetric distributions, with a global shape for all dimensions, but an allowable width variation described by the covariance structure matrix.
