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In addition, the noise coherence is particularly high at low frequencies; this can amplify the bias caused by an erroneous approximation at low frequencies.
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We demonstrate that the second-order perturbative approximation leads to erroneous or even physically impossible estimates of mean reactive-constituent concentrations when the variance of the mixing ratio is high and the relationship between the mixing ratio and the reactive-constituent concentrations strongly deviates from a quadratic function.
Computations using plane stress shell elements to model the tubes are shown to give erroneous results, since the plane stress approximation is not valid when tubes are hydroformed in a die.
In addition, these exact algorithms allow us to avoid the edge effect observed under the single sequence approximation, which leads to erroneous results, especially when the marginal distribution of the model displays a slow convergence toward the stationary distribution.
Treatment of the time delays by Padé approximations can lead to erroneous results.
The 2D FEM results show limited unyielded regions between the rolls, in disagreement with the lubrication approximation theory (LAT), which predicts erroneous extended unyielded regions.
Firstly, in real world problems, it is impossible to have exact training data sets[25]; therefore, erroneous data are exploited here for close approximation to real situation.
An error in the original derivation of the GFDAF algorithm was identified, and it was shown that the erroneous equality can be used as a reasonable approximation.
For a long MT profile, such as this case, dimensionality analyses demonstrate that 3-D approximation is required to prevent information loss or producing erroneous models.
An erroneous equality used in the original derivation is clearly identified as an approximation.
Because of non-proportional-hazard erroneous assumption, AFT models avoid bias; however, they require a suitable distribution approximation of the survival time (parametric).
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