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The distance matrices were finally processed by MDS to obtain a dimensionally reduced map of gene coordinates.

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The case of a SixGe1−x layer embedded in a Ge matrix is finally discussed.

A reverberation matrix is finally constructed and the characteristic equation governing the dispersion of waves is presented.

The dynamic stiffness matrix is finally solved by using the Wittrick-Williams algorithm to compute the natural frequencies.

The obtained iteration matrix is then squared to enlarge the time-step that can be used in the time-stepping process (namely, the squaring technique), and the small nonzero elements in the iteration matrix is finally pruned to improve the sparse structure of the matrix (namely, the pruning technique).

The processed matrix is finally submitted to different, previously described classification algorithms.

This adjacency matrix is finally exported into a tabular format that can be imported into Cytoscape [ 51] to obtain a graphical representation.

With these matrices we were finally able to calculate the real position of the objects in the arena from the pixel coordinates derived from the recordings.

The TDOAs are corresponding to the time delays of the maximum values of the rows of matrix ( tilde{P} ) were finally determined, as shown in Fig. 7a.

Following this, the integral equations were derived and readily approximated by matrix equations which were finally solved numerically.

Then, the optimization problem for loading matrices can be finally formulated as max Q 2, Q 3, V C ; Q 2 T, Q 3 T, v T F 2 s. t.

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