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where X is the combined model matrix of strictly parametric model components and smooth basis functions and βis a vector of unknown coefficients.

Therefore, the compliance model matrix of the open-loop serial compliant mechanism shown in Fig. 1(a) can be obtained as varvec{C} = frac{{partialvarvec{delta}_{0} }}{{partial varvec{F}}} = sumlimits_{i = 1}^{m} {varvec{T}_{id} {kern 1pt} varvec{C}_{i} {kern 1pt} varvec{T}_{if} }. (5).

This study concerns optimal designs for functional magnetic resonance imaging (fMRI) experiments when the model matrix of the statistical model depends on both the selected stimulus sequence (fMRI design), and the subject's uncertain feedback (e.g. answer) to each mental stimulus (e.g. question) presented to her/him.

The phenotypic values of a quantitative trait is assumed to be: y = Xg + Zf + e, where y = vector of phenotypic values, g = effects of SNP genotypes, X = model matrix of g, f = random family effects with a common variance σf for sibs in the same family that could include common genetic and environmental effects, Z = model matrix of f.

The inputs to the image reconstruction in both cases were the object mesh, created from the microCT image as described in Section 3.3, and a forward model matrix of time-domain data for fluorescence and transmittance collected at each unique source-detector pair.

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Combining the model matrices of each smooth column-wise into one model matrix and absorbing identifiability constraints result in the following expression of the SCAM model log(mu_{ki})=textbf{X}_{ki}boldsymbol{beta}, (10).

Note that, in the Measurement Error model, matrices of measurements W and V correspond to traits X and Y, respectively.

The chapter discusses the way the properties of the model matrix X influence the quality of the estimated parameters in multiple regression.

Estimates of the base frequencies, the substitution rate model matrix and the proportion of invariable sites were fixed.

Model matrices consisting of a pectin and a dairy gel were investigated to study the transfer of flavour compounds between the different phases of stirred fruit yoghurt.

which is used to update the corresponding part of the model matrix.

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