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The phrase "a linear translation of" is correct and usable in written English.
It can be used when discussing the process of converting something from one form to another in a straightforward, direct manner, often in mathematical or linguistic contexts.
Example: "The mathematician provided a linear translation of the complex equation to make it easier for students to understand."
Alternatives: "a direct translation of" or "a straightforward conversion of".
Exact(2)
Bintley, however, has opted for a linear translation of the entire narrative into conventional ballet steps.
In this work, we propose a simple and cost effective X-ray imaging setup that comprises a linear translation of the object in a conveyor belt with a fixed X-ray source and detector, with which a small number of X-ray projections can be acquired within a limited angular range.
Similar(58)
Our results also highlight the combined action of light- and voltage-gated ion channels in enabling the photoreceptor membrane to perform a predominantly linear translation of phototransduction currents into the final voltage response (Figs. 3G, 5H, 9H and 11A) without limiting the throughput of these messages (Fig. 11F).
With a delay Δl realized with a linear translation stage (Newport) allowing longitudinal delays of 25 mm with an accuracy of 10 nm the interference fringes between signal 1 and signal 2 were measured and the visibility calculated.
After that, the trapped object was carefully lifted up with a linear translation stage.
Pitch transposition represents the linear translation of a spectrum through multiplication of all its frequency components by a constant.
As an application of the forward problem, the results of two closely related experiments are analyzed: (1) linear translation of a planar coverslip-buffer interface away from the focal plane of a microscope objective and (2) reflection from the surface of a polystyrene sphere < 100 nm above the coverslip-buffer interface.
A linear stage (NRT150, Thorlabs GmbH, Karlsfeld, Germany) allows linear translation of the animal holder in the axial z direction for the acquisition of three-dimensional data sets.
Additionally, the feasibility of line drawing with micron-width was demonstrated by linear translation of the substrate.
Displacement is the linear translation of the needle parallel to its longitudinal axis.
The last adaptation of the BRAM is used by Malottki et al. [72] which made further improvements to the model by allowing for a non-linear translation of HAQ-scores to utility values and enabling probabilistic sensitivity analysis.
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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