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The phrase "a linear approximation of" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing the estimation of a function using a linear function near a specific point.
Example: "The linear approximation of the function at x = 2 provides a simple way to estimate its value nearby."
Alternatives: "a linear estimate of" or "a linear model of".
Exact(56)
The Taylor series linearization approach (48, 49), which derives a linear approximation of variance estimates to develop corrected standard errors and confidence intervals, was implemented to estimate variances.
The analysis is based on a linear approximation of the nonlinear dynamics.
A linear approximation of curved shocks is also experimentally shown to be 2nd order accurate.
A linear approximation of the proposed MINLP model is then solved using a hybrid Benders-based rolling horizon algorithm.
The proposed method is based on algebraic approach of control design and a linear approximation of the time-delay term.
A linear approximation of the model at the equilibrium point is presented along with the controller design.
A linear approximation of the system is used to avoid convergence issues in the iterative adjustment of reactive power.
Similar(4)
The improvement in theoretical analysis was obtained by replacing the product form of the concentration dependence with a linear approximation instead of a constant.
It can be seen that, by assuming a linear approximation instead of the complex realistic one mentioned before, the error is only in this range and is therefore acceptable.
Regarding the use of a linear approximation, the qualitative similarity of the obtained results reassures us that the influence of the linearity assumption on the results of the paper is not that significant.
Correspondingly, a Fresnel lens with linear saw-tooth grooves is equivalent to a piecewise linear approximation of a conical surface.
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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