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The phrase "a function of many factors" is correct and usable in written English.
It can be used when discussing something that is influenced or determined by various elements or conditions.
Example: "The success of the project is a function of many factors, including team collaboration and resource availability."
Alternatives: "dependent on several factors" or "determined by multiple factors".
Exact(26)
MFC power output is a function of many factors; including pH, temperature, loading rate, flow rate and electrical load.
The relationship between the broken link and its possible linkable pages, can be defined as a function of many factors.
The researchers say their work suggests that while the division of labor within a colony is a function of many factors, it can be influenced by positive (or negative) reinforcement of individuals based on their experiences.
Tire wear is a function of many factors: heavier BEVs are expected to give more tire wear PM emissions while brake wear PM emissions can be lower on electrified vehicles, which use regenerative braking.
The paper presents a review of previous studies on the costs associated with oil spills from shipping, which is a function of many factors such as location of spill, spill amount, type of oil, etc.
The performance of spark ignition engines is a function of many factors.
Similar(34)
The reasons for population declines that can push a species towards a higher risk of extinction can be a complex function of many factors acting simultaneously [26].
Intensity of MRI is a complex function of many factors including the magnetic field strength, image acquisition technique and acquisition parameters.
2. The sustainability of the reindeer population is a function of many complex factors.
The stability of the theme park industry is a function of many different factors that affect attendance rates and admission prices.
Empirical research from such a "structural" perspective showed that individual achievement is a function of many structural factors, such as class, economic sector, or organization.
More suggestions(15)
a function of many parameters
a function of obtainable factors
a function of observable factors
a function of physical factors
a function of many students
a function of key factors
a function of systemic factors
a function of different factors
a function of experimental factors
a dataset of many factors
a function of individual factors
a function of many things
a question of many factors
a function of dimensional factors
a consequence of many factors
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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