Sentence examples for matrix elements were from inspiring English sources

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.

The liquid fraction, bubble size distribution and the Mueller matrix elements were measured individually during a foam free drainage process.

Two annual size-classified matrix population models were constructed for standard analysis, applied a life table response experiment (LTRE) analysis to explore the contributions of demographic processes, plant size, and temporal variability (years) to λ, and changes in the matrix elements were simulated including a seed bank, and seed-to-seedling transition using observed and experimental data.

After application of the elution procedure, the matrix elements were separated with efficiency higher than 99%%.

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.

At 120 °C slightly lower recoveries were observed, but also the leaching of the matrix elements was decreased.

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.