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To eliminate the spatial autocorrelation effect, we constructed a physical distance matrix that captures the pairwise Euclidean distance between the injection sites.
In this manifold model, each domain is represented by a Laplacian matrix that captures the closeness to other instances sharing the same label.
This work explored a potential new model dispersion fuel form consisting of an actinide material embedded in a radiation tolerant matrix that captures fission products (FPs) and is easily separated chemically as waste from the fuel material.
where N = M + D; H is the N × N lower triangular Toeplitz filtering matrix with its first column being [h j [0],..., h j [L] 0,..., 0 ]T; H IBI is the N × N upper triangular Toeplitz filtering matrix that captures the inter-block interference (IBI), with its first row being [0,..., 0 h j [0],..., h j [L] ]; and n ̃ N j denotes the AWGN noise.
The end result is a sparse regression matrix that captures intrinsic properties of gene phenotype association.
Herein, we present a 32 × 12 mutation matrix that captures the nucleotide pattern two nucleotides upstream and downstream of the mutation.
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The WorldClim database provides high-resolution climate matrices that capture climate variability and also extreme or limiting climate factors.
As mentioned in [ 25], the factorization of the consensus matrix will generate a clustering assignment matrix that could capture the cluster structure inherent in the network.
The profile is in the form of a numerical matrix that seeks to capture the average information content in the sequences.
If the similarity matrix was well constructed (each element reflected the co-cluster similarity), the factorization of the similarity matrix would generate a clustering assignment matrix that could well capture the cluster structure inherent in the network representation.
The reactive solute transport in a single fracture bounded by upper and lower matrixes is a classical problem that captures the dominant factors affecting transport behavior beyond pore scale.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com