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The lead from the uranium-rich ore had an average atomic mass of 206.08 compared to 207.69 for the lead from the thorium-rich ore, thus verifying Soddy's conclusion.

Excellent agreement was demonstrated thus verifying applicability of this FD method to real situations.

Finally, two examples are given to demonstrate both geometric and material information on the layers, thus verifying the proposed approach.

The experimental results agree with the simulation results, thus verifying the feasibility of the modified rotor blades in practice.

These values match well with the XRD results, thus verifying the tetragonal structure of hausmannite manganese oxide.

The obtained results show better history match with the field data, thus verifying the significance of the designed approach.

These results to a large extent reproduce the results obtained for the year 2013, thus verifying the conclusions made.

The analytical results show good modeling accuracy in comparison with the experimental results, and thus verifying the established models.

The run-out distances simulated matched the in-situ evidences, thus verifying the calculation accuracy of the SPH model.

The backbone RMSD plots obtained by MD simulations also indicated a more rigid structure of Tcur1278 thus verifying its superior thermal stability compared to Tcur0390 (Figure 5A-B).

The simulation results show good agreement with the experimental data, thus verifying the accuracy of the numerical simulation method used in this paper.

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