We can easily rewrite Equation 10 in matrix shape, for instance by expressing the convolution as the sequence of a direct Fourier Transform, a masking in the frequency domain (using a diagonal matrix multiplication), and an inverse Fourier transform.
The constitutive law developed by Peultier et al. (2006) and improved by Chemisky et al. (2011) is adopted to model the matrix shape memory behavior.
Also, and as explained above, the influence of changes in orientation on the proportion of variance explained by the eigenvectors of the compared matrix is heavily dependent on matrix shape.
The aim is to optimise the dual performance of a balanced PSS solution through controlling its perforation percentage, matrix and shape, by using the orthogonal arrays (DOA) statistical method.
Rather than tuning the eigenstructure of the subdivision matrix, we improve shape by adding a point and enriching the refinement rules.
The comparison between Figure 1 rows B and C shows that the impact of changes in orientation on the proportion of variance explained by the eigenvectors of the reciprocal matrix depends on the matrices' shape.
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.
In the catalyst preparation process, one RYS zeolite, a Kaolin matrix (Suzhou Kaolin Company, China), and a silica sol matrix, were mixed together and shaped by spray-drying to obtain a microspheroidal catalyst.
The latter represented a calcium alginate hydrogel, obtained by the diffusion of calcium gluconate (CGH matrix), and shaped as discoid-thin layer.
The sprayed MAI (NH3CH3 +) on PbCl2 is likely to be shaped by the large matrix of PbCl2 consisting of repeating Cl Pb Cl planes.
