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The phrase 'the function of which' is correct and can be used in written English.
It is typically used as a relative clause to explain what the function of something is. For example: "The telephone is a useful invention, the function of which is to allow people to communicate with one another."
Exact(60)
Cdc24 has two other conserved functional domains: an N-terminal calponin-homology (CH) domain, the function of which is unclear, and a C-terminal PB1 domain, which mediates binding of Cdc24 to the adaptor protein Bem1 (see below).
A close relative, Agriochoerus, had clawed feet, the function of which remains uncertain.
Muscle, contractile tissue found in animals, the function of which is to produce motion.
Conserved RNAs formed by pre-mRNA back splicing, the function of which may be linked to that of their host genes.
He has promised to merge the environment ministry — the function of which includes the protection of the Amazon rainforest — with the agriculture ministry.
The unique feature of H. pylori catalase is a four lysine-motif at the C-terminus (aa 501 505), the function of which is at present unknown.
Leading from the central plazas are great stone causeways, the function of which was probably largely ceremonial.
These organs, the function of which involves motion, expansion, and contraction, must have a flexible and elastic protective covering.
The defendants were supplying the plaintiffs with only a part, the function of which they did not know, of that plant.
And from that, develop that personal point of view from the function of which of these issues do we want to take on the most.
Transfer RNA is characterized by the presence of many unusual minor bases, the function of which has not been completely established.
More suggestions(15)
the practice of which
the performance of which
the work of which
the assignment of which
the authority of which
the business of which
the enjoyment of which
the functioning of which
the responsibility of which
the position of which
the power of which
the job of which
the alignment of which
the works of which
the role of which
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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