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The phrase "appreciation of the efficiency" is correct and usable in written English.
It can be used when discussing the recognition or acknowledgment of how effective or productive something is.
Example: "The team's appreciation of the efficiency of the new software led to its widespread adoption across the organization."
Alternatives: "recognition of the effectiveness" or "acknowledgment of the productivity".
Exact(2)
A gross estimate of cell number at different stages of thyroid cancer evolution gives an appreciation of the efficiency of cancerization from the point of view of the cell.
The field personnel, in addition to their lack of field experience, had no confidence in the participation of women, and only the experience of working together managed to change their attitude to an appreciation of the efficiency of women's work.
Similar(58)
An additional requirement for the algorithm was that the resultant simulation should provide a sufficiently rapid response to provide statistically robust results for a variety of experiments exploring various policy options and developing an appreciation of the critical trade-offs between efficiency and the quality of care as measured by the preference satisfaction.
[Rosneft head] Igor Sechin himself responded to being penalised for the Ukraine policies of his friend President Vladimir Putin with sarcasm, calling it "an appreciation of our efficiency".
Individuals' conception of how they are appreciated (called self-appreciation here), How self-appreciation compares to a peer's appreciation of the individual (peer-appreciation) and, How the peer-appreciations are reciprocated.
We assume here that to understand how social ties are formed in task-related contexts, we must pay attention to: Individuals' conception of how they are appreciated (called self-appreciation here), How self-appreciation compares to a peer's appreciation of the individual (peer-appreciation) and, How the peer-appreciations are reciprocated.
This will allow better appreciation of the relationships between fibre processing and ultimate fibre performance.
An appreciation of the architect Oscar Niemeyer.
It also allows appreciation of the role of each uncertain parameter.
The second is the appreciation of the euro.
A long appreciation of the art of Ruth Draper.
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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