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As the sequence lengths and compositions of the two considered genomes differ a lot, we have to take a different value of Nobs for each organism: Nobs = 30 for M. genitalium and Nobs = 150 for E. coli.
This paper proposes further optimization of a Q-cascade by splitting the cascade into segments and allowing each segment to take a different value for M*.
In this proof C denotes an arbitrary, positive constant that is independent of h, μ, ε, and that may take a different value every time it used.
When such a penalty is applied to the problem of Figure 2, it would take a different value for all the possible solutions to the unconstrained problem.
In order to simplify notation we will assume in this proof that (C>0) is an arbitrary constant independent of h, T that may take a different value every time it is used.
However, we also fitted models in which P had no effect in BRCA1/2 carriers, and models in which the variance of the polygenic 'modifying' component was allowed to take a different value.
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Note that they are allowed to take a different values.
At every point in space E takes a different value, determined by r, and the complete specification of E(r)—that is, the magnitude and direction of E at every point r defines the electric field.
This variable took a different value for each heat wave.
Covariates (Xij) and trial-specific model parameters (θi) were included and evaluated according to the following general structure: where E0, i,T is a nonparametric placebo (i.e., reference) effect, which takes a different value for each study-time combination for each trial.
If it were to take on a different value, the wavelengths of these lines would change.
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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