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Chapters 10 and 11 of the first book of the Almagest deal with the construction of a table of chords, in which the length of a chord in a circle is given as a function of the central angle that subtends it, for angles ranging from 0° to 180° at intervals of one-half degree.
The friction coefficient is given as a function of twist angle, flat width and total width.
An estimation of the thickness is given as a function of the horizontal bed dimension.
The distance between the thermal noise and RMSE is given as a function of the SNR.
The distribution of angles is given as a function of the process parameters such as pulse voltage and pulse duration.
The measured lithium distribution within the graphite electrode is given as a function of state of charge.
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In these schemes, the viscous terms are given as a function of the Laplace diffusion operator only.
Analytical expressions of the Kondo temperature T K are given as a function of magnetic flux Φ penetrating the ring.
The confined compressive stress of concrete f cc can be given as a function of unconfined compressive strength f c.
Details of the response function; energy-scale, linearity, energy resolution, quantum efficiency and etc, are given as a function of incident X-ray energies.
In particular, the force in a spring element is assumed to be given as a function of the displacement from the equilibrium position.
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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