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Corresponding theoretical derivations are given subsequently.
The validity of the theoretical derivations is demonstrated via simulations.
Theoretical derivations and related results are validated using SPICE simulations.
Theoretical derivations are presented to calculate fragment distribution.
The theoretical derivations are validated in extensive simulation experiments.
Correctness of theoretical derivations will be attested by simulations.
13321_2013_474_MOESM1_ESM.pdf Additional file 1: Theoretical derivations of the GRMT.
Numerical and simulation results are used to demonstrate the validity of the theoretical derivations.
Numerical simulations under various wind speeds show exponential convergence results which further verify the theoretical derivations.
The results also agree with the theoretical derivations for conjugate curves and conical-helix bevel gears.
The Wentzel Kramers Brillouin (WKB) technique is adopted for the theoretical derivations.
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