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Inverse kinematics of the 3-DoFs RPM with the exponential product method is achieved to lay the foundation for its kinematic synthesis.
An a priori error analysis shows, under strong regularity assumptions on the solution, that the sparse tensor product method is clearly superior to a discrete ordinates method, as it converges with essentially optimal asymptotic rates while its complexity grows essentially only as that for a linear transport problem in Rn.
The area product method is used to design its size.
The multistream product method is not justified here, since each model had exactly the same observation variables.
The area product method is given by A p = P t × 10 4 K f K u B m Jf cm 4, (6).
It has been shown that the partition function of some of the one-dimensional driven-diffusive models with open boundaries obtained using a matrix product method is equal to the partition function of a two-dimensional walk model obtained using a transfer matrix method [8, 11, 12].
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The Rank product method was chosen, as non-parametric analyses are more robust in general, which is an important concern in comparing experiments done in different laboratories.
[2012] showed that the Fisher's method and the adaptive rank truncated product method are the most powerful methods for testing the competitive null hypothesis, in agreement with the previous literature.
By using the proposed gene statistics the analytic distribution of the Fisher's method and the empirical distribution of the adaptive rank truncated product method are used for testing the significance of the pathways [ Evangelou et al., 2012].
Subsequently, the Bioconductor software package RankProd [ 34], which is based on the rank product method, was employed to identify the differential gene expression caused by genome reduction and the heat shock response.
A similar approach to the truncated product method was implemented in PLINK [ 30] (with the --set-test option), whicase control–cortrol or family genotype data in the analysis.
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