Sentence examples for matrices that link from inspiring English sources

Then, X and Z are the matrices that link the systematic and additive genetic effects with the data.

Furthermore, X, Z 1, Z 2, and Z 3 are the incidence matrices that link the different effects with the phenotypic data.

They indicated that the problem probably arises from the fact that modification of the incidence matrices that link observations to IGE directly depends on the observations [ 34].

Finally, p and h are vectors of random permanent maternal (9224 levels) and herd-year-season (2781 levels) environmental effects (not included in the simulated datasets), e is a vector of residuals, and X, Z a, Z m, Z s, Z d, Z p, and Z h are incidence matrices that link the effects with the phenotypic data.

Z h and Z u are design matrices that link random effects to individuals and ε is the vector of homoscedastic error terms, i.e. ε ∼ N n 0, I n σ ε 2. In the model corresponding to (H1), h is a vector of random effects of haplotypes at position i, i.e. h ∼ N κ (0, H P, i σ h 2 ), where κ (κ≤ K) corresponds to the number of observed haplotypes, or alleles, at position i.

This provides us with a matrix that links the two occupational codes – the rows are the old codes that map to the columns which are the new codes.

It begins with a matrix that links customer desires to product engineering requirements, along with competitive benchmarking information, and further matrices can be used to ultimately link this to design of the manufacturing system.

This combination of information results in a matrix that links colour and 3D information, giving the possibility of characterising the object by its colour in addition to its 3D localisation.

A system of mass balances around each species has the form: (1) where is a length m vector of the time derivative for each mass density of metabolic species, N is the m × n stoichiometric matrix that links metabolites to their reactions via stoichiometry, and ν is a length n vector that describes the flux through each reaction.

We develop a matrix approach that links the potentials of land use (change) related to urban shrinkage with ecosystem services provisioning in cities.

When using haplotypes to construct G, the matrix (M) that links haplotypes to individuals and its number of columns is equal to the number of haplotype covariates.