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In proportional counters the matrix elements are non-zero over a large area.
Such a formulation leads to certain transcendental eigenvalue problems where the matrix elements are transcendental functions.
The maximum errors for the absolute values of Mueller matrix elements are reduced to 0.01 after calibration.
This suggests that only five independent Mueller matrix elements are sufficient to represent the current foam because of its axisymmetry.
The integrations to form the matrix elements are all done in closed form, even for the nonlinear terms.
By using eight different combinations for the orientation angles of the optical components, all scattering matrix elements are obtained as functions of the scattering angle.
In addition, we review the strategies that have been proposed to solve the problems that occur when the units of the Jacobian matrix elements are not homogeneous.
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The Hamiltonian matrix elements were obtained in the numerical localized orbital basis set implementation39,40 within GGA.
For selected uncorrelated atomic configurations, dipole matrix elements were calculated using the prescription described in ref. 36.
The Hamiltonian matrix elements were obtained using models with periodic boundary conditions imposed both along and across the interface.
At 120 °C slightly lower recoveries were observed, but also the leaching of the matrix elements was decreased.
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