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U f is ar f ×r f square nonsingular matrix with full k-rank, ask U =r f.
Together with Theorem 2.1 and taking M for an (ntimes n) matrix with full rank, we have Corollary 2.2.
where small value of a is to ensure the matrix P H P + a I a matrix with full rank.
In complete markets, (mathbf {X}) is a square matrix with full rank, i.e., there are as many basic assets as states.
The multicarrier model considered in this scenario differs from MIMO (spatial) channel matrix with full entries as considered in the terrestrial scenario.
The experiments were conducted based on a three factor, three level, central composite face centered design matrix with full replications technique.
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The new method can be applied for rectangular matrix with full-rank and square matrix with rank-deficient only.
Since H=G † R G, where G,R are the square matrices with full rank, it follows that H is invertible.
Combining markers of which the alleles are in complete linkage disequilibrium to donor segments results in a design matrix Z with full column rank if (1) the donor segments are non-overlapping, (2) each donor allele occurs exactly in one introgression line, and (3) the donor coverage is 100%.
For each gene feature we constructed two-dimensional data matrices with full-length chromosomes or gene-specific regions as objects (rows) and frequencies of all possible di- 16), tri-(64), tetra-(256), penta-(1024) andi- 16-mers (4096) in tri- 64e featri- 64quences as variables (columns).
This paper highlighted the use of RSM by designing a four-factor five-level central composite rotatable design matrix with the full replication for planning, conduction, execution and development of mathematical models.
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