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end{aligned} (4) We now focus on both right hand terms separately.
The effect of the confounder on the outcome, α2, is the same for both the instrumental variable and OLS estimators, so any difference in bias between the two approaches must be due to the difference between the right hand terms in the bias equations.
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Negative values in the right hand term indicate infeasibility of the requested rate.
where h jl H ∈ C 1 × T is the channel matrix between tran(j) and rec(l), and n l is circular symmetric complex gaussian noise with variance σ l 2. Note that the second right hand term in (2) represents the intra-cell interference and the third right hand term represents the out-of-cell interference.
Substituting Equations 21 to 20 conveniently allows summing the Reynolds stresses terms to the diffusion term (2nd right hand term in Equation 20) with an equivalent viscosity μequ = μ + μt.
Other time horizons forecasts can be found similarly; only the right hand term of (3) has to be lined up to the times (k + 10) for 30 min ahead, (k + 15) for 45 min ahead, and so on.
In the above equation, we did not write explicitly the energy dependence of the right hand term and will omit it also in the following sections, whenever the meaning is obvious.
To properly calculate the first factor on the right handed term, Mathematica 9 was used to extrapolate the close formulation for T t) in each single experiment starting from the measured temperature profile.
Now we compute the right-hand terms of (15).
Note that the above model (Eq. 12) is not linear in the parameters, due to the second and fourth right-hand terms (in particular (1−φ)·α and φ·β).
This fact is usually represented in the form of an equation that simply relocates brackets in an obvious way: We see that relocating the brackets in accord with this format, the left-hand term of the second equation is transformed into the left-hand term of the third equation, and the same for the right-hand terms.
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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