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The phrase "a different function to" is correct and usable in written English.
It can be used when comparing or contrasting the roles or purposes of different items, concepts, or systems.
Example: "The new software provides a different function to the existing program, enhancing user experience."
Alternatives: "a different role than" or "a different purpose than".
Exact(13)
An opinionated conversation serves a different function to a specialist's elucidatory monologue.
During each Rep, we map a different function to the elements of our array (e.g. if Rep Count = 1024, we map 1024 different functions onto each of the array elements, one per Rep).
In Example 4.5, (psi(x)=x) does not meet the requirement and hence we take a different function to alter the distances.
As literary agent Andrew Kidd points out, the Granta list has a different function to an annual literary award, such as his newly-founded Folio Prize or the long-established Man Booker.
The TELTs were chosen with the intention of each serving a different function, to allow an insight into for what purpose students accessed the TELTs, as opposed to which TELT they preferred for a given purpose.
This proposal that the concept of knowledge may have changed over time so that what we now call 'knowledge' may sometimes perform a different function to the one that our original concept of knowledge was supposed to track is clearly of central importance to debates about the value of knowledge, as Craig's account of objectification indicates.
Similar(47)
Non-cognitivists (including their contemporary representatives, the expressivists) hold that moral language has a fundamentally different function, to express attitudes or to issue commands, for example.
How this affects its function is presently unknown although it is possible that in the absence of its ability to interact with partner proteins may confer a very different function to the protein.
By contrast, the very same condition that I buy Lambert a cello appears to fulfil a different function according to (iv) (namely that I first have to buy him a cello before he learns to play).
It was recently proposed that irisin is positively correlated to BMI in healthy individuals but negatively correlated in subjects with metabolic diseases, suggesting a different function according to the metabolic state [ 64, 65].
The present data imply that avian IL-15 has, at least partially, a different function compared to its mammalian counterpart, and in addition, chicken innate immune responses might be affected differently by n−3 PUFA compared to mammals.
More suggestions(15)
a different layer to
a different tune to
a different kind to
a different title to
a different strategy to
a different story to
a different vocabulary to
a necessary function to
a different gender to
a transcriptional function to
a different air to
a recursive function to
a critical function to
a social function to
a different style to
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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