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This property allows the reduction of the computation load in numeric calculation of the sensitivity trajectories- Simplified equations for gradient and Fisher information matrix calculation using this property are given.
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The "hclust" function was used for hierarchical clustering and the "dist" function was used for distance matrix calculations using default parameters.
The unknown parameter of CIR (hat {h}_{l}(m)) at the mth symbol can be solved by the following matrix calculation of using the inverse matrix of [d 2 m,n 2−l)] S×S.
Thereafter a reversed matrix calculation is used to "replace" the scapula to its original position.
The distance matrix was also calculated using PHYLIP3.66 [ 31], and the matrix was further used for rarefaction curve and Chao1 calculation using DOTUR [ 6].
Thus in our matrix calculations we use the identities (alpha _{i}beta _{j}=0), (alpha _{i}gamma _{j}=0) and (beta _{i}gamma _{j}=0) for all (i,jin{1,2}), which resemble the identities for the imaginary parts of the dual numbers.
Alternatively, the Jacobian matrix could be calculated using a matrix-free algorithm [ 11] or by parallelisation of the Jacobian calculation.
GTSRL uses Pairwise Matrix Multiplication for SRL value calculation Similar model to GTSRL except the calculation uses a Min-Plus Topical algebra approach Utilizes incidence matrices to allow for multiple integrations between technologies, and record direction of each integration.
To improve the pattern recognition, we propose to label the matrices and run the calculations using labels.
a Sequence similarity matrices are based on ClustalW alignments (IUB matrix for DNA or Gonnet matrix for protein sequences) and distance calculations using the Tamura-Nei method on DNA or the Poisson correction on the amino acid level, respectively, with the pairwise deletion option; calculated with MEGA4 (see Methods).
The experimental values of μs′ determined for EPDM particles in a polypropylene matrix are compared with model calculations using the Lorenz-Mie theory.
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