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The phrase "assumption that the primary function" is correct and usable in written English.
It can be used when discussing a belief or premise regarding the main role or purpose of something.
Example: "The assumption that the primary function of the committee is to oversee budget allocations has led to misunderstandings about its broader responsibilities."
Alternatives: "belief that the main role" or "premise that the key function".
Exact(1)
It needs to be acknowledged however that this interpretation of mirror neurons crucially depends on the assumption that the primary function of mirror neurons consists in providing us with a cognitive grasp of another person's actions and emotions; an assumption that has met with some criticism more recently from researchers inside and outside of the neuroscientific community.
Similar(59)
That's the primary function of what these social networks are revolving around," Hardy told HuffPost Live.
Korsgaard points to an assumption she believes that realists and antirealists share and that constructivists reject, namely, that the primary function of concepts deployed in judgments that can be true or false is to represent things as they are, so if normative judgments are true, they must represent something real out there in the world.
Still, the great Broadway tunesmiths knew that the primary function of melody was to service words.
Home Office guidelines say that "the primary function of Special Branch is covert intelligence work in relation to national security".
Of course, the primary function of leaves is that they are true factories.
Conventionally, the primary function of dimensionality analyses was to make assumptions for 2D magnetotelluric modeling.
Making music is still the primary function.
"The primary function is to be able to respond early".
As the primary function of this protein is to mediate exocytosis and is specific to this library, it is a logical assumption that it may be a component in the machinery necessary for vitellogenesis.
Determine the primary function of your logo.
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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