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Exact(4)
The matrix reduces to the Cesàro matrix by setting (t=1).
Given a square matrix Z ∈ C m × m, ddiag(Z forms a diagonal matrix whose diagonal entries are those of Z, and off(Z) generates a matrix by setting all diagonal entries of Z to zero, i.e. off(Z):=Z−ddiag(Z).
Create the optimized annotation matrix by setting.
In the common case of known query structure, we generate an appropriate base pair probability matrix by setting the probabilities of the query structure base pairs to 1 (and all others to 0).
Similar(56)
In (8), we have approximated the matrices,, and by diagonal matrices, by setting their offdiagonal elements to zero.
We used PLINK to infer the genetic relationship matrix for each of the four HapMap populations independently and then merged the resulting four matrices by setting inter-population pairwise relationship coefficients to zero.
Therefore, to adjust for population stratification we used PLINK to estimate the coefficients of genetic relationship based on autosomal marker genotypes in each HapMap population independently and then merged all four population genetic relationship matrices by setting the relationship coefficients between individuals from different populations to be zero.
The above notations as well as the following analysis are however readily applicable to asymmetrical configurations also, simply by resizing the above-defined vectors and matrices, or by setting the corresponding microphone signals and all the associated transfer functions to zero.
The LDMIP algorithm also yields probabilities of paternal and maternal inheritance at the marker alleles for all animals in the pedigree [ 15], which can be used to set up a linkage analysis based on the genomic relationship matrix G LA by setting up such a relationship matrix at all marker positions and averaging across positions [ 8, 9].
Since any covariance matrix Σ can be decomposed as Σ=E λE T, where λ is a diagonal matrix of ordered eigenvalues and E an orthonormal matrix of eigenvectors, the matrix can be approximated by setting the smallest eigenvalues (in the matrix λ) to zero.
we construct a power allocation policy matrix P ′ by setting: begin{array}{*{20}l} p^{prime}_{i,n} &= p^{ast}_{i,n} + p^{ast}_{i,j}, end{array} (40).
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