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The phrase "a given distance in" is correct and usable in written English.
It can be used when specifying a particular distance in a certain context, such as in mathematics, physics, or navigation.
Example: "The object was moved a given distance in the direction of the force applied."
Alternatives: "a specified distance in" or "a certain distance in".
Exact(11)
The laws of physics dictate the minimum power requirement for lifting a given mass of water through a given distance in a given time.
To determine which model would be more appropriate we plotted the normalized flux between two locations separated by a given distance in Figure 4C.
Otherwise, particles traveling a given distance in a larger number of shorter steps would be weighted more often than a particle traveling the distance in fewer steps.
Average annual growth rate was determined from the number of annual growth rings present over a given distance in individual cross-sections.
This method is based on deriving heuristic potentials between amino acids based on the frequency with which pairs of amino acids occur at a given distance in a large set of protein structures.
The autocorrelation function (ACF) and the pair correlation functions at a given distance in pixels (pCF pixel)) are displayed in pseudocolors in a image in which the x-coordinate correspond to the point along the line and the vertical coordinate correspond to the autocorrelation time in a log-scale.
Similar(49)
In particular, for a given distance d (in km) between a macro-cell and a user, the path-loss model is PL d)=128.1+37.6 log10(d) (dB).
The CST apparatus measures the time required for the fluid to travel a given distance, as shown in Fig. 13.
The method can be employed to estimate the total electrostatic energy of two protein molecules at a given distance and orientation in an electrolyte solution with zero to moderately high ionic strength.
Distance-kernels provide data on primary transmissions between two premises, but transmission over a given distance may occur in one or more stages.
The number of pathogens diffusing a given distance is chosen in a similar way and their final locations are independently decided.
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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