As a consequence, the mechanical strength of the CNTs degrades but the resultant interface with a host matrix can become physically intermittent, which may positively contribute to the composite strength and toughness.
The introduction of a (N_{mathrm{task}}^{2}) sized matrix can become problematic when the number of MPI tasks is increased beyond the numbers we have tested for this publication, especially for supercomputers with relatively little available memory per core (Blue Gene architecture).
Another associated problem with BFS is the randomness of memory accesses of graph data, in contrast to traditional numerical computing using CSR such as the Conjugate Gradient method, where the access to the row elements of a matrix can become contiguous.
The issue is that cell sizes of the confusion matrix can become too small for the smaller class (hits).
Use of probabilities in this way, substituting functions of D i(m) with functions of P i(m), can provide stable estimation when P i(m) probabilities are well informed; otherwise, when uncertainty is present, the design matrix can become multicollinear, making some effects nonidentifiable and thus ineligible for a fair comparison with the truth.
This model provides detailed description (qualitative and quantitative) regarding hydrogen bonding between the template and polymeric matrix hence can become good theoretical tool for monomer selection.
Random nested terms are usually not applicable in a MANCOVA framework (i.e., matrix determinants can become negative, making the term untestable, and type I error rates may be inflated when nested terms in MANCOVA models are significant; see Rencher 2002, p. 162; and Langerhans and Makowicz 2009).
The main improvement in the theorems in this paper is that the derivative matrices E and G can become the desired matrices by the PD feedback controller.
However, the bulk of the computational effort in these methods is due to products of matrix functions and vectors, which can become very costly at high resolution due to an increase in the number of Krylov projection steps needed to maintain accuracy.
