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The phrase "the system functions" is correct and usable in written English.
You can use it to describe how a system operates or performs its intended tasks. Example: "In order to understand the software better, we need to analyze how the system functions under different conditions."
Exact(52)
Within Human Factors Engineering, a decision-making process called function allocation (FA) is used during the design life cycle of complex systems to distribute the system functions, typically identified through a functional requirements analysis, to all human and automated machine agents (or teammates) involved in controlling the system.
Common applications to hardware design include formally establish that the system functions correctly on all inputs, or that two different circuits are functionally equivalent.
Because it does – the system functions beautifully.
Fair enough — but consumers should understand how the system functions.
So every child gets to go to school, the schools are of high quality, the system functions well and children learn.
But because of the nature of the county's cooperative-though-autonomous libraries, in which every resident can borrow freely from every library, the system functions organically.
Similar(7)
Some health officials acknowledged shortcomings in the way the system functioned.
For instance, Mamet engages in a paean to American capitalism, asking: "I wondered, how did the system function so well?
But the system functioned inconsistently in the rough terrain along much of the border.
But in one of the accommodations by which the system functioned, he was allowed to take on the responsibilities of the job without actually signing a contract.
The system functioned with 66 low-orbiting satellites in conjunction with existing terrestrial cellular networks, but it was plagued by technical problems and complaints about high prices.
More suggestions(15)
the system functionalities
the system positions
the regulation functions
the system performances
the system jobs
the system businesses
the model functions
the leadership functions
the cost functions
the system powers
the system operation
the system allocation
the system authority
the system functionality
the mechanisms functions
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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