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The phrase "a function of temperature and pressure" is correct and usable in written English.
It can be used in scientific or technical contexts to describe how one variable depends on or is influenced by temperature and pressure.
Example: "The volume of the gas is a function of temperature and pressure, as described by the ideal gas law."
Alternatives: "dependent on temperature and pressure" or "a variable of temperature and pressure."
Exact(48)
Wilson, W. D. Speed of sound in distilled water as a function of temperature and pressure.
Here Q(P, T) is the classical isotherm as a function of temperature and pressure.
They yield the enthalpy as a function of temperature and pressure.
The leakage property is characterized as a function of temperature and pressure.
The extraction rates were measured as a function of temperature and pressure, respectively.
Empirical models describing the gasification performance as a function of temperature and pressure are presented and discussed.
Similar(12)
"Tire pressure is a function of temperature, and when the temperature varies, the pressure will vary".
The density of seawater is a function of temperature, salinity, and pressure.
Various designs allow the study of spectra as a function of temperature, pressure, and external magnetic and electric fields.
Since interfacial tension is a function of temperature, pressure and composition of target reservoir oil.
CO2 solubility in water is a function of temperature, pressure, and salinity.
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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