Sentence examples for matrices as long from inspiring English sources

The first category includes [4], where it is utilized that the desired and interfering signals can be distinguished in the channel covariance matrices, as long as the angle-of-arrival spreads of desired and interfering signals do not overlap.

Although the development of MatrixConverter was motivated by the large phenomic character matrices produced by CharaParser, it can be used to evaluate and transform any data sets of phenomic characters into discrete character matrices, as long as they are in a tab-delimited text or CSV file.

Clearly, Eq. (11) means that the matrix A is a Vandermonde matrix as long as θ i, (i = 1, ⋯, P) comes from different angles.

In general, these techniques allow an LP solution to violate the constraint matrix as long as a sufficient penalty is payed.

Inspired by the adsorption mechanism, various nanocarbons have a potential to uniformly disperse in metal matrix as long as the surface electron status of the nanocarbons and metal matrixes are modified, which can be illustrated in Fig. 1.

Note that exists for a set of sinusoids having distinct frequencies and non-zero amplitudes and so does the inverse noise covariance matrix as long as the noise has non-zero variance.

Further, since we can calculate α v, j, d) in one slice of the DP cube, analogous to sequence alignment scores in one row of a DP matrix, as long as traceback is not required memory usage can be reduced from O(N) to O(N).

This approach is preferable to the alternative of completely inverting the matrix (again using Cholesky factorization) and then using matrix-matrix multiplication, as long as K 3−K M>0.

This admittance matrix holds true as long as the pump frequency is larger than the signal frequency ( ω 3 > ω 1 ) so that the "three-wave difference idler" frequency remains positive ( ω 2 > 0 ).

So we can estimate the covariance matrix of the system as long as we calculate the covariance matrix of the residual vectors.

The noise correlation matrices are chosen randomly as long as the noises are colored enough but do not totally interfere the other channel factors.