Sentence examples for matrices with distinct from inspiring English sources

Recall that the array response A θ and delay matrix F ϕ are both Vandermonde matrices with distinct generator (distinct angle and delay assumption).

Artificial contamination of three different food matrices with distinct bacterial counts revealed a detection limit of 101 CFU/g B. cereus cells after overnight enrichment.

To achieve the minimal total parallel execution time, the use of a blocking factor ℓ∈{2,p,2p} can be recommended for matrices with distinct singular values.

Assume that A θ = [ a θ 1, …, a θ r 1, …, a θ r ] ∈ C K × r, F ϕ = [ f ϕ 1, …, f ϕ r 1, …, f ϕ r ] ∈ C P × r are Vandermonde matrices with distinct nonzero generators, and S = [ s 1, …, s M ] ∈ C N × M. ( F ϕ, A θ, S ) represents a decomposition of X ¯ in the following formulation: X ¯ = ( F ϕ ⊙ A θ ) ( S J ) T. where J is the dependence matrix given in (7).

Before proving Theorem 2, we need the following Lemma: [27] Consider a matrix decomposition X= A B T, where A ∈ ℂ I × F is a Vandermonde matrix with distinct nonzero generator and B ∈ ℂ J × F is a 'tall' or 'square' matrix with full column rank.

"Superfibronectin" (sFn) is a form of Fn aggregates that resembles Fn matrices, but with distinct biological activities [9].

Transition matrices in the K2P model have the same symmetric structure as the underlying rate matrices, with two distinct transition parameters: p α – the probability of a transition-type substitution; p β – the probability of a transversion-type substitution.

Three silk matrix groups with distinct structural and mechanical properties were investigated following 10 weeks of implantation including our original prototype previously shown to support bladder regeneration, Group 1 (2 mm/s, methanol) as well as Group 2 (40 mm/s, methanol) and Group 3 (40 mm/s, lyophilization) configurations.

Therefore, if a 3-state matrix M with distinct columns (up to relabeling) has a perfect phylogeny, m = O (n 2 ) = O (n 2 ).

As an example Figure 5 shows this region for c 0 = 0.2 and a covariance matrix with two distinct eigenvalues 2 and 1 with the multiplicity ratios α 1 = 1 3 and α 2 = 2 3.

Framework is a systematic matrix based approach with distinct stages that allow transparent data management and interpretation.