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Both matrices can be used in the stability, first- and the second-order elastic analyses of framed structures made of Timoshenko beam-columns with rigid, semi-rigid and simple connections of symmetric cross sections.

In addition, vector residuals obtained from the superimposition of both matrices can be used to identify the species that are responsible for the largest discrepancies between them.

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On the other hand, we assume (bar {boldsymbol {Phi }} = left [ phi _{1}; phi _{3}; phi _{2}; ldots ; phi _{n} right ]), then mutual coherence for both of the measurement matrices can be calculated as the maximum off-diagonal entry of (sum _{i = 1}^{n}phi _{i}^{H}phi _{i}).

Generating large, complete data matrices can be both logistically daunting (e.g., assembling DNA samples from all taxa) and prohibitively expensive.

Right, and of course matrices can be rectangular.

The complete rank product tables and all autocorrelation matrices can be found in the Supplementary Files.

The affine model and transformation matrices can be computed efficiently using a single eigen-decomposition.

Various matrices can be used to replace feeder cells, such as Matrigel6,7,8, CELLstart9,10, recombinant proteins11,12,13 and synthetic polymers14,15.

By solving those LMIs, filter gain matrices can be calculated.

Furthermore, whole organ matrices can be isolated by perfusion decellularization.

So the weight matrices can be tuned automatically.

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