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The phrase "a function of the overall number" is correct and usable in written English.
It can be used in contexts where you are discussing how one variable or outcome is influenced by or depends on the total quantity of something.
Example: "The success of the project is a function of the overall number of participants involved."
Alternatives: "dependent on the total amount" or "related to the aggregate figure".
Exact(1)
(c k_{t}; bar {k})) is a function of the overall number of treated patients (k t ) in relation to the number of patients ((bar {k})) the hospital can treat given its physical capacity or capital (we will generally call (bar {k}) the hospital's capacity).
Similar(59)
Genome representation is a function of the overall number of unique clones and their respective insert sizes.
GA and PSO are used to find the optimum solution of multi-objective function; the objective function combines the overall number of buses experience voltage sag, the number of buses experience voltage drop, the number of buses experience voltage less than 10%, the overall number of buses experience voltage swell and network power loss.
Figure 9 The overall system throughput for Voip flows as a function of the number of MUEs. Figure 10 The overall system throughput for CBR flows as a function of the number of MUEs.
The model assumes that overall uncertainty in the forecast is a function of the number of undecideds, in addition to the time left until Election Day.
A scalar damage variable is introduced to represent the fraction of overall fatigue endurance used up at ply interfaces as a function of the number of accumulated cycles.
Because reliability is a function of the number of items, it is not surprising that reliability coefficients were lower in individual domains than in the overall test.
For a given reordering strategy, the overall number of idle cycles per decoding iteration is a function of the actual sequence of layers used for the decoding.
Note that the overall information transmission rate is a function of the frame rate, the number of pixels per frame, the number of colour channels and the number of bits per pixel.
A massive reduction in the overall number of uninsured Americans.
As a result the overall number of IMAs would increase.
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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