Furthermore, this strategy was successfully applied to a SILAC triplet experiment, which presents a much more complicated experimental matrix, affected by both incomplete labeling and arginine-to-proline conversion.
Moreover, since our discretization matrix is symmetric, it can be inverted rather quickly as opposed to the more complicated nonsymmetric discretization matrices found in other second-order-accurate discretizations of this problem.
The penetration processes in an asymmetric fracture-matrix system are more complicated than that in a symmetric fracture-matrix system, due to different matrix properties.
Further, implicitly applying the orthogonal factor to the trailing matrix in the context of factoring a square matrix is more complicated and costly than with the Householder representation.
These observations for the model composite system can significantly help determine effective design criteria for more complicated composites such as metal matrix composites.
The Mueller scattering matrix follows from the amplitude matrix and is more complicated than that for scatterer 1: (4) the other elements being equal to zero.
With more states, the subordinate roots of the rate and projection matrices become more complicated.
There are many alternative choices of similarity scores, simpler scores such as percent identity and more complicated scores involving multiple BLOSUM matrices; the alternatives we tried gave nearly identical choices of representative proteins.
It should be pointed out that this improvement was obtained at the expense of more complicated machinery of mathematics, namely solving matrix problems.
However, since the presented alternative models are all based on changes of the relationship matrix between the animals, and these more complicated genetic evaluation models are also based on relationship matrices or their inverses, it is rather straightforward to apply the current developments to these more complicated evaluation models.
