Sentence examples for analytically explained from inspiring English sources

The concept has been analytically explained and empirically verified through application.

Using the properties of Legendre polynomials, the mechanism for this special case is analytically explained, considering the cancellation of aliasing errors.

Finally, the enhanced thermal strain relaxation is analytically explained in terms of the Si pillar lateral tilting, critically dependent on the pillar aspect ratio, very similarly to the well-known case of a deflected beam.

These interesting simulation observations above are analytically explained based on a mixed time domain and statistical analysis of IMD mechanism.

These interesting simulation observations above are analytically explained based on a mixed time domain and statistical analysis of the IMD mechanism.

Moreover, if we focus on the "strongly heterogeneous" column, we observe a higher Deff with imbalance between the two groups (Table S4b in Additional file 1, Deff = 1.757 for ρ = 0.1) than with balance between the groups (Table S4a in Additional file 1, Deff = 1.620 for ρ = 0.1), which can be analytically explained (Appendix 2).

An isentropic model was used to analytically explain the gas contribution to the dynamic compression stress recorded in the experiments.

These differences are shown both numerically and analytically, and explained using a reactor physics based reasoning.

As the algorithm foresees the utilization of a linear ZF receiver, the SNR for the i th user after the detection, can be calculated analytically, as explained in [20--equations (1) to (7), 21].

Different asymptotic cases of, e.g., the small and large temperatures and low and high voltages are derived analytically and explained physically.

Tests will move away from multiple-choice questions and toward more written responses that will require students to think analytically and explain how they solve a problem, even in math.