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The phrase "a given height and" is correct and usable in written English.
It can be used in contexts where you are specifying a particular height along with additional information or conditions.
Example: "The structure must be designed to withstand winds at a given height and pressure."
Alternatives: "a specified height and" or "an assigned height and".
Exact(2)
Minimum normalized surface tension required to initiate flow for liquid-metal in a cylindrical reservoir into a channel of a given height and width.
In this case, the Z-score (z) for a given height, and BMI measurement (X) can be calculated as: z = ((X/M ^L-1)/L/S if L ≠ 0 or z = log(X/M ^L-1f L = 0 [ 27].
Similar(58)
where \(F_\nu ^ \uparrow \left( z \right)\) and \(B_\nu \left( z \right)\) are the upward flux and Planck function, respectively, at a given height z and wavenumber ν, and \(T_\nu ^f\) is the flux transmittance.
The old weight tables were merely a factual report on the weight of an average person of a given height, sex and age.
Gas enters a fluidized bed through jets which at a given height are stopped and the gas flow divided between bubbles and the dense phase.
Such solutions are characterised by vertical velocity profiles at a given height which are flatter, and inward radial velocities which are smaller, in a region away from the cyclone wall and the axis of symmetry.
You have three attempts at a given height; scratch on all three and you're out.
instruments; but a spectograph sent aloft by the Naval Research Lab.; the Univ. of Michigan put in 3 special bottles designed to open up at a given height, suck in samples of atmosphere and then reseal themselves.
In our scenario, sensitivity is the tape's capacity to correctly identify and match a given height to the correct color zone on the tape.
In this approach, cut-off points for being obese is defined as a set percent over a standard weight for a given height in the individual's age and sex population.
Whites tend to have slightly larger trunks and shorter legs compared to Blacks at a given height which corresponds to vital capacities that are 10-15% larger for a given standing height [ 4, 5] Blacks, Hispanics and Native Americans have different PFT results compared to Caucasians.
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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