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Since H=G † R G, where G,R are the square matrices with full rank, it follows that H is invertible.
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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).
where small value of a is to ensure the matrix P H P + a I a matrix with full rank.
Together with Theorem 2.1 and taking M for an (ntimes n) matrix with full rank, we have Corollary 2.2.
U f is ar f ×r f square nonsingular matrix with full k-rank, ask U =r f.
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.
Furthermore, the proposed method of designing the interactor in this paper can be applied to a tall or fat transfer matrix with full normal rank.
In this paper, using a new method to structure a m-dimensional parallellotope, the geometrical interpretation of the inverse matrix and the generalized inverse of a matrix with full column rank or full row rank are given.
where H i ∈ C N i × M is the channel matrix with full column rank for the i th user and z i ∈ C N i is the circularly symmetric Gaussian white noise vector at the i th user.
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