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Our analytic designs are substantiated and verified.
The numerical results agree very well with our analytic predictions.
Numerical simulations are performed to illustrate our analytic results.
Our analytic results provide great promises to practical system designs.
Numerical simulations are used to illustrate our analytic analysis.
Numerical simulations are given to support our analytic results.
Finally, we validate our analytic results by simulations.
Our extensive numerical simulations show the robustness of our analytic results and managerial insights.
Problems not expected to be affected by embodied spatial training served as our analytic comparison.
In this section, we carry out numerical simulations to illustrate our analytic results.
Numerical simulations, which are very realistic, add an extra dimension to our analytic conclusions.
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