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It should be noted that an intercept term is included in the model and hence indexing to one of the four populations is omitted in S i to avoid singularity of the model design matrix.
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First, in the steady-state CSTR criticality is related to the near-singularity of the model equation.
Due to the singularity of the well, modeling in the near-well region with standard numerical schemes results in a completely wrong total well flux and an inaccurate hydraulic head.
In addition, the possible interval values of a 0 in (17) are compatible with those given by Kulkarni (2006) in her Remark 1. (singularity of the GMO models).
Although the above circular conical surfaces overcome the numerical singularity of the original M C model, they are significantly different in geometrical shape from the hexagonal pyramid of the M C model, resulting in the advent of more or less errors [3] even if the equal area cone [4, 5] is employed while the above-mentioned programs are used.
Finally, the relationships among the intensity of singularity, the order of stress singularity and the model geometry are discussed.
However, the computational result of the transfer matrix is not valid due to the singularity of the point source model.
Figure 4(a) also shows that calculations based on F gave a correct estimator precision (compared to the observed standard deviation of the estimates) in the regions both near and far from the point of singularity of the two emitter model, with only a small but conservative deviation below 50 nm.
(singularity of the BLMP 1 models).
In addition each gene is allowed to be a parent of itself, creating a singularity in the model that results in most other parents having no significant impact on any given gene expression level.
In fact, the standard view in the 1950s and early 1960s was that the singularities of the FRW models were consequences of false idealizing assumptions, namely assumptions of perfect isotropy and homogeneity.
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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