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The operational matrices derived in the previous section play a central role in the numerical simulation of FDEs under different types of boundary conditions.
This is equivalent to having (37)such that (38 and is shown in Appendix A to reduce to the various covariance matrices derived in the HB theory.
One can ask whether in higher dimensions the explicit recursive closed form correlation bounds for positive semi-definite correlation matrices derived in Hürlimann (2012b) are of help in this matter, as is the case in dimension three.
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Here we also present the matrix derived in [4].
Figures 2 and 3 validate the analytical form of the distribution of the SCN of the central semi-correlated Wishart matrix derived in Section 5. A three-dimensional system is considered, and the receiver matrix is given in (28).
The total cost matrix derived in Section 3.3 can be directly integrated with contemporary cost-sensitive techniques, many of which are listed in 2.1, thus enabling the generality of our work.
Step 2. Multiply (textbf {h}_{k}^{left ({n,s} right)}) by the compression matrix derived in the previous long-term period bar{mathbf{h}}_{k}^{left({n,s} right)} = textbf{h}_{k}^{left({n,s} right)}{bar{mathbf{U}}^{left({n - 1} right)}}.
Household type groupings reflect a relationship matrix derived in the NPHS.
The centered allele coding method breaks dependency between the general mean and genetic marker effects, as seen from the variance-covariance matrix (derived in Appendix B for a more general situation) Consequently, absorption of the general mean is done without needing to compute absorption explicitly.
BLAST uses predefined scoring matrices in comparison to position-specific scoring matrices derived from the scoring hits in the initial search in PSI-BLAST.
Unlike using diagonal regularization matrices in global gravity field modeling from spherical harmonics (Kusche and Klees 2002), the regularization matrices derived from various constraints in regional scale are no longer entirely diagonal.
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