Sentence examples for matrix whenever the from inspiring English sources

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Recall that the rank function satisfies the following properties [28, page 13]: (i) if and are square invertible matrices, then for all matrix, whenever the matrix multiplications are well-defined; (ii) for all matrices, we have.

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In brief, the assay method involves the release the AK into the surrounding matrix whenever cell damage occurs and the integrity of the plasma membrane is compromised.

The model infers a new interaction in the matrix whenever it finds three interactions satisfying the transitive closure and 2 (e)).

Then, the model infers a new interaction in the matrix whenever it finds three interactions satisfying this transitive closure.

MU shares the same drawback with MAP that it has to handle the full precision matrix whenever it is called.

The first one is proving that in every multiple system of linear equations there exists a constant (p^{ast}) such that the original unique sparse solution also can be recovered from a minimization in (l_{p}) quasi-norm subject to matrixes whenever (0< p

In this case, we have, with such a matrix γ, that M = M k , whenever the matrix M k exists.

In this case, we have, with such a matrix γ, that M = M k , whenever the matrix M k exists, and γ can be chosen so that γ γ ∗ = I.   (iii) We have E k ( − J ) = − 2 δ i J, i.e., − J ∉ D k .  .

All these results illustrated that one can recover a block-sparse signal exactly and stably via the convex mixed l 1/l 2 minimization method whenever the measurement matrix Φ is constructed from a random ensemble (i.e., Gaussian ensemble).

The convolution, Kronecker convolution and Hadamard convolution products are matrix functions defined for as follows (whenever the integral is defined).

The proposed method, like most of other solution branches, e.g., [9 14], can be classified as the "SCM" approach, by which exact channel identification is achieved whenever the exact covariance matrix is available.

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