Sentence examples for matrices because the from inspiring English sources
Not all orthogonal designs produce inequivalent Hadamard matrices, because the corresponding systems of equations do not possess solutions.
Observe also that for small instances, the execution time is much lower for the original matrices because the ILP problem dominates over the run time of HCMVM.
Looking at Fig. 3(b), we see that the random choices made in the runs do not cover all possible J matrices because the scalar product values are concentrated in the range from about − 0.6 to about +0.6 and never achieve values around ±1. Mathematically, this may be understood by noting that we are operating in a 16-dimensional vector space.
We can see that the kNN method still tends to classify all matrices as Hermitian, but it is possible to calculate a discrimination line (see Fig. 4) between values of (P_{vert 0 rangle }) for Hermitian and non-Hermitian matrices, because the lowest value of probability for Hermitian matrices is 0.8790 and the highest value of (P_{vert 0 rangle }) for non-Hermitian matrices is 0.8313.
We did not consider the estimation of "mixing" matrices because the actual definition can be ambiguous.
These extraction methods could not satisfy the requirement for the quantification of bovine β-casein in baked food matrices because the level of allergenic proteins might be underestimated.
We call Π the preconditioning matrix, because, as it will be explained in Section 3.2, it is used to increase the convergence rate of the recursions (8).
Even the traceback does not require to store all M ^ matrices, because recomputing the matrices on the trace is comparably inexpensive.
We also show that the chemosensors are not applicable to marine water-based matrices because of the significant coordinating ability of chloride anions with Hg2+.
In PET, another semicrystalline plastic, the crystalline portions exist in a glassy matrix because the Tg of PET is above room temperature.
Everything normal there?" Mr. Fugate acknowledges that the aftermath of Hurricane Sandy poses a challenge to the Waffle House matrix because the chain, popular in the South, has so few restaurants in the Northeast.
