Sentence examples for deficient rank from inspiring English sources

Next, another step is needed if several partitions induce an AU-HOSVD with a deficient rank.

In the vectorial case, the performance of LR filter depends on the deficient rank [10, 11].

In the considered low snapshot sample case (e.g., one recorded SAR trajectory data signal in a single look SAR sensing mode [7]), the sample data covariance matrix Y = ( 1 ∕ J ) ∑ j = 1 J u ( j ) u + ( j ) is rank deficient (rank-1 in the single radar snapshot and single look SAR sensing modes, J = 1).

Since the AU-HOSVD has been developed for LR reduction, the most important criterion is to choose the partitions which emphasize deficient ranks.

Three species the walrus, the ribbon seal, and the spotted seal have a "Data Deficient" ranking.

The receptor activator for NF-κB (RANK /RANKL/OPG axis governs homeostatic bone remodelling, as mice deficient in RANK, RANKL, or OPG have severe bone phenotypes [ 3, 4, 6].

The matrix R is rank deficient with rank M and is therefore overdetermined.

If assumption (ii) does not hold, i.e., the matrix H is rank deficient with rank(H) = W < K, then rank(HH ∗) = W < K.

Assume that (Ainmathbb{R}^{ntimes n}) is symmetric positive definite and (Binmathbb{R}^{mtimes n}) ((mleq n)) is rank deficient with (operatorname{rank}(B =r< m).

When is rank deficient, a small value can be added to the diagonal of.

However, when this matrix is close to the rank deficient, decoding becomes unstable.