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The phrase "are based on operations" is correct and usable in written English.
You can use it when discussing principles, theories, or systems that rely on specific actions or processes.
Example: "The results of the experiment are based on operations conducted over several weeks to ensure accuracy."
Alternatives: "are grounded in processes" or "are derived from actions".
Exact(3)
The proved fact that the input cognitive systems have an operational specificity, and that the intellectual resources are based on operations (not on information) justifies this approach.
The figures are based on operations performed from 1997 to 2004.
They also are based on operations that come after processing by the retina and visual areas, thus providing high level semantic neural networks that define the symptomatology related to the observed medical reality.
Similar(57)
Ratings are based on operation criteria presented in Table 2.
This method is based on operations on polytopes (Minkowski sum and intersection) and can be used to validate geometric specifications, contact specifications and thermomechanical specifications.
The simulation of reaction mechanism is based on operations with binary numbers.
As prosthesis designs and surgical techniques have evolved rapidly with increase in operation volumes since the 1980s, the study was based on operations performed since 1997.
Unlike the multiplicative model, the Complex Number model for the calculation of the QALYs is based on operations implying the intervals separating the values on the utility and time scales (b and a, respectively) and not the values themselves.
The calculations were based on operation conditions for one of producing wells of oil fields in Samara region complicated with formation of asphaltene-resin-paraffin deposits on the downhole equipment and flowlines.
One is based on products, and the other is based on operation sequences.
The linear filters are based on linear operations, such as addition and constant multiplication, whereas nonlinear filters are based on nonlinear operations, such as minimum value selection.
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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