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The model parameters defined for each phase were found correlated with the initial meso-texture of the considered phase and with the orientation of the loading path with respect to the phase orientation.
All symbols with superscript l indicate model parameters defined for the l th leaf.
Applying the above functions, all model parameters of Equations 1 and 2 can be expressed by linear combinations of model parameters defined for each terminal node.
The root mean square errors (RMSE) of the model parameters, defined as ( {displaystyle sum_{l=1}^N}sqrt{{left({s}_{boldsymbol{l}}-{s}_tright)}^2/N} ), for smoothness, sparsity, and SDS estimations were 0.0462, 0.0643, and 0.0195 m, respectively.
The model dynamics are schematically represented in Figure 1 and the model parameters defined in Table 1.
We now look at the likelihood of the observed data under the model parameters, defined above as L(θ|D).
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This paper deals with an inverse technique, based on a multi-objective optimization, for the identification of model parameters defining damage and failure mechanisms in composite materials.
Typical initial work includes defining model parameters, defining the required Green functions and their dressing functions, choosing integration routines and defining the renormalization procedures.
The model parameters define the differentially expressed regions we attempt to find with the proposed method; γmin and γmax define the region size, zmin and zmax define the extent of differential expression and k is the criterion of the neighborhood.
The size and the geometrical characteristics of the SU are controlled by modeling parameters defined by the user including the minimum half-basin area (http://grass.osgeo.org/grass64/manuals/r.watershed.html) and the slope aspect variability described as the standard deviation of the aspect sine and cosine.
Then based on the Bayesian model with parameters defined in a simple configuration file, BM-Map calculates mapping probabilities of multireads for competing genomic loci; and it generates the output in a SAM-like format by adding mapping probabilities to the original input file.
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