Sentence examples similar to the matrix defined above from inspiring English sources

Exponential correlation matrices defined above have full rank.

where denotes the matrix defined by.

with the matrix defined as (38).

The mixing matrix e is then just (20) Noting that Tr FF T = S, the modularity matrix defined above (8), we find that (21) The same construction also allows us to write Q H [defined in Eq. (11)] in terms of Tr e [Eq. (12)] by noting that (22) where 1 is a matrix where each entry is 1.

S is the stoichiometric matrix defined above.

For the prior covariance Σ V of maximum reaction rates, we take a unit information formulation of the truncated g-prior, so that p (V | K, σ ) = N T (V ; μ V, n σ 2 (D ′ D ) − 1 ) where D = D G, S (K ) is the design matrix defined above.

However, as we show in section 1 of Additional file 1 the values in Eq. (14) can be calculated faster if we precompute either and, or and depending on which pair of matrices is fastest to compute, where I is the d v × d v' matrix defined above.

2. Dissimilarity matrix D = { d ij } i, j  = 1 N  = 1 N 1 N T  −  K, where K is a similarity matrix defined above.

Using the matrices defined in Eqs.

The matrix, defines the anisotropic elastic fluid-solid coupling matrix.

Like the other vectors and matrices defined above, these four entities can be further decomposed into their left and right subsets, labeled with the indices and, respectively.