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The inverse matrix of φ can be derived further by matrix inversion lemma (MIL) [38]: φ - 1 = σ n - 2 I - σ n - 4 C σ n - 2 C H C + I - 1 C H = σ n - 2 I - σ n - 4 σ n - 2 + 1 CC H. where the second equality uses the result of CH C = I.
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We derive further insights for this problem by performing a comparative statics analysis.
The authors derive further information about these clones by identifying the presence of such clones in the CSF of the patient based on having identical CDR3 sequences.
From the 1960s, Mou Zongsan interpreted and criticized Zhu's ontology and ethics on Kantian grounds, claiming Zhu had erected an a priori framework but then illicitly sought to derive further a priori knowledge (of patterns) by a posteriori means (observation).
We derive further specifications from the experiments performed by Nicolas et al. on mouse keratinocytes [ 40].
Therefore, we do not derive further conclusions from this variable.
The hollow particles with mesoporous shells are derived by further calcination to remove polymer templates, meanwhile composition of the shell can be transformed for example WC and C from H2WO4/quaternized polystyrene composite.
Finally, combining a posteriori SNR and a priori SNR obtained by a decision-directed (DD) method [5], the optimal spectral amplitude estimator and decision rule of the BDSAE method are derived by further minimizing the combined Bayesian risk function R, which are used to enhance DFT coefficients of the noisy speech.
Functional associations between biological processes from the Gene Ontology (GO; Ashburner et al., 2000) were derived by further integration and analysis of these networks in a context-sensitive manner.
Subsequently, random neo-fuctionalzation and/or sub-funtionalization of A_SRKI and A_SRKII produced two ancient S haplotypes, from which SRKs might have been derived by further diversification.
The "differential network backbone value" was the result of a fitting procedure between the network model and the gene expression fold changes, where the smoothest function (accounting for the sign of the causal edges) was derived by further imposing a boundary condition on the backbone nodes corresponding to the gene expression changes.
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