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The phrase "as a linear relation" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or any discussion of relationships between variables that can be represented in a linear form.
Example: "The data points can be analyzed as a linear relation to determine the correlation between the two variables."
Alternatives: "in a linear relationship" or "as a linear correlation".
Exact(7)
This is modeled as a linear relation with the inclination Δ ρ.
We shall use the term operator to refer to a single-valued linear operator while a multi-valued linear operator will be generally referred to as a linear relation.
Here, the contribution from nonspecific binding is defined as a linear relation between analyte concentration and amount bound.
The evolutionary relationship between two traits is modelled as a linear relation between the unobserved species mean values.
The infectiousness can be represented as a function of the viral shedding [ 32], quite often simplified as a linear relation [ 8, 64].
This is because there is an approximately linear relation between coverage and the reduction in disease as well as a linear relation between coverage and the costs of the programme.
Similar(52)
In literature one finds that the step size ldyn in a certain range of speeds increases linearly with speed v as well as that there is a linear relation between available headway and chosen or possible walking speed.
In the higher temperature regime (e.g., 313 K), the taTrxR electrochemistry still corresponds to an immobilized species, as determined by a linear relation of ia or ic with v (data not shown).
As it is clearly seen, m n ∗ has similar strain dependence as E g and a linear relation between m n ∗ and E g is expected which could be correlated to an inverse relationship between mobility and band gap [32].
The notation indicates that is part of a linear relation, as described in the previous section.
When graphene was treated as an anisotropic material [31,32], a linear relation between its in-plane permittivity and effective mode index can be observed.
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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