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Based on the findings from factor analysis research, it seems likely that the use of such methods may have had a material, adverse effect on the solutions generated.
Nonetheless, it is of importance to investigate if there is any effect on the solutions of the SNR analysis from rough sea surfaces.
This condition is added in order to avoid the perturbation effect on the solutions resulting from the reflection at the limit point ({0}).
These results show the choice of regularization matrices has a non-negligible effect on the solutions, and the first-order regularization may be more preferable for local gravity field modeling.
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We calculated the complex permittivity solutions for single-layer microwave absorbers and checked the effect of the solutions on the thickness and the absorbing bandwidth of the absorbers.
Characteristic lengths, which depend on material and geometrical properties, define the minimum size of the imperfections with the strongest effect on the solution and the minimum distance between load and imperfections with no effect on the solution.
Also, some simplification operations have been given to accelerate the resolution of the problem by removing the components having no effect on the solution process.
Stability of solutions is important in physical problems because if slight deviations from the mathematical model caused by unavoidable errors in measurement do not have a correspondingly slight effect on the solution, the mathematical equations describing the problem will not accurately predict the future outcome.
The regularization parameter, which controls the trade-off between data fidelity and solution size of the regularization problem, exerts a crucial effect on the solution.
The alkyl halide used for the quaternization of the aminated block has an effect on the solution properties of the diblocks, that have been investigated by dynamic light scattering and surface tension measurements.
For the PSA process, it is found that viscous transport dominates in the adsorbing bed and the inclusion of other modes of transport in the model equations has practically no effect on the solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com