From Equation (17), we can compute the MSE matrix assuming that the estimation error matrix and the effective channel matrix are statistically independent MSE = E s ̂ k − s k s ̂ k − s k H = σ n 2 + σ ICI 2 + σ d 2 σ e 2 G ̂ k, k H G ̂ k, k − 1, (18).
We then employed the NCA toolbox [ 26, 30] to analyze the network using the gene expression data and the initial connectivity matrix, assuming that the CS was the same across all four cell types.
Step 1. Create a decision matrix: assume that there are m alternatives A i ; i = 1,…, m to be assessed against n criteria C j ; j = 1,…, n.
Current wisdom on intermolecular interactions in the extracellular matrix assumes that small proteoglycans bind collagen fibrils on highly specific sites via their protein core, while their carbohydrate chains interact with each other in the interfibrillar space.
The fibre-loading theory and the shear-lag model, as applied to a columnar grain completely embedded within a continuous elastic matrix, assume that the matrix elastically transmits the far-field stress as a tensile stress along the grain (Fig. 1a).
The steps of our proposed fuzzy MCDM approach can be expressed as follows: 1. Step 1. Create a decision matrix: assume that there are m alternatives A i ; i = 1,…, m to be assessed against n criteria C j ; j = 1,…, n.
The definition M_{i,j} = \alpha_i^{j-1} of a Vandermonde matrix assumes that.
The diagonal matrix assumes that pathway effects are independent and come from the same distribution.
This matrix assumes that all SNP effects come from the same distribution and that they are independent.
The standard matrix completion techniques for recovering the user-item preference matrix assume that the true underlying matrix is low-rank.
The G IBD matrix assumes that the founders of the pedigree are non-IBD and that all the IBD is due to common ancestors within the known pedigree.
