Sentence examples for because these matrices are from inspiring English sources
A similar exercise for swapping y and z reveals that the swap matrices are given by i m − l B n m l, while the corresponding swap matrices for ϒ n m are given by the transpose (because these matrices are orthonormal and the product (46) is invariant under coordinate swapping).
Note that this requires that both G−1 and are computed beforehand, which is not computationally feasible because these matrices are dense and large when the number n2 of genotyped animals is large.
However, most entries in these matrices are zero because some k-mers do not exist in the training sequences.
The other examined matrices, the PAMs and the BLOSUMs, were deemed inapplicable for modeling the code evolution, essentially, because these matrices have been derived from comparisons of protein sequences that are encoded by the standard code, and so cannot be independent of that code; as shown above, this applies to PAM74-100 as well as to the classic PAM matrices [ 48].
This is so because similarity matrices are symmetric and have their diagonal elements equal to one.
We also discuss the block diagonal Jacket matrix decomposition because Jacket matrices are element-wise inverse matrices.
Also, as ni increases, the number of operations decreases, because more matrices are considered.
However, while these C-free electrodes exhibited enhanced cyclic performances, their capacities were relatively small (approximately 500 mAh⋅gelectrode −1) because inorganic matrices are heavy and have low surface areas.
Incidentally, a dynamic small-world network is computationally more tractable than a fixed one, because adjacency matrices are no longer required; all that is needed is the probability for a short-cut to be present (Stone and McKay 2011).
For systematic reviews it would be valuable to develop approaches for making assumptions about joint distributions because covariance matrices are rarely available from reports of primary studies and it may be challenging to request them from authors of primary studies.
Even if the sample was small, the results were provocative (three years later Klingberg replicated most of the results in a group of 50 children), because matrices are considered the gold standard of fluid-intelligence tests.
