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By analyzing the error formulas of projective operators and adopting the compact-operator spectral method, we have derived the error formulas of approximative eigenvalues and eigenfunctions.
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In addition, the experimental uncertainty of the viscometer was also estimated by analyzing the errors propagation of the input parameters of Shvidkovskiy equation.
By analyzing the residual error signal with an error model, the damage severity of a component can be established.
Next, we derive the design criteria for TC-CIOD by analyzing the codeword error probability.
By analyzing the residual error, the damage status of the structure can be diagnosed.
We validated the performance of the proposed algorithm by analyzing the injection error according to randomly generated loading angles.
The structural modifications of the written oxide lines as a function of the writing speed were studied by analyzing the relative error of the line widths.
By analyzing the estimation error variance, the LS/ML carrier frequency offset estimation method is shown to outperform the traditional method using the discrete-time Fourier transform.
By analyzing the pairwise error probability of the proposed system, we have shown that the full-cooperation scheme can double the diversity available to both users without requiring additional transmitters.
By analyzing the labeling error types, we slightly revise our classification scheme and propose six methods to improve the classification and labeling system, hoping to achieve even better agreement in the future.
By analyzing the phase errors, it can also be found that the phase error based on NF is the largest.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com