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From those matrix elements we can derive the spin-orbit coupling coefficients, vital to discussing Kerr rotation.

To measure the scattering matrix elements we use a number of different optical components such as polarizers, a quarter-wave plate, and an electro-optic modulator.

Comparing the covariance matrix elements, we obtain the following six equations: (4).

For definition of H matrix elements, we used the tight-binding representation in the nearest neighbor's approximation.

For most matrix elements we had over one-hundred pairs, with the highest number of encountered pairs (∼25%) in layers 5, and 6 (Fig. 4A,D), most likely due to their relatively larger thicknesses, and the larger cell sizes in those layers, making it easier to isolate single neurons in those layers [59], [60].

To quantify the symmetry of these Mueller matrix elements, we calculated ASD numbers from Eqs. (18)– (19) (Table 3 >).

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With the M × M centering matrix H with elements we finally obtain the matrix B = HCH.

On the other hand, if the system has matrix elements such that we are in a hawk-dove quadrant the cancer while not "cured" (which is the prisoner's dilemma end-point) but rather the cancer cells are in a stable equilibrium: chronically present but not life threatening, a region of permanent dormancy.

For the estimation of the matrix elements m ij, we take the reciprocal nature of conversational contacts into account by imposing c ij = c ji.

As commonly done, instead of directly estimating the precision matrix elements ω uv (n ), we estimate the partial correlation coefficients ρ(n ), where ρ uv (n ) is the correlation between gene u and gene v conditioned on the values of all the other genes.

That is, we zero correlation matrix elements with non-reliable values (p ≥ 0.05).

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