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The phrase "achieves its maximum expression" is correct and usable in written English.
It can be used to describe a situation where something reaches its highest or most effective form or state.
Example: "The artist's work truly achieves its maximum expression in this final piece, showcasing her unique style and vision."
Alternatives: "reaches its fullest potential" or "attains its highest form."
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The above expression reflects the heuristic assumption that signal intensity achieves its maximum under absence of mature cells and decreases asymptotically to zero if the number of mature cells increases.
From Fig. 7, it is shown when k = 4, P NZ(k) achieves its maximum.
"The responsibility is to make sure that the team achieves its maximum," he said.
Even with a rider weighing more than 100kg the Cityscoot accelerates well and achieves its maximum speed in a few seconds," Doucet wrote.
Then achieves its maximum at and.
This absorption band achieves its maximum at 440 nm.
Next, suppose that | y ( t ) | achieves its maximum at t 0 ∈ ( 0, 1 ).
By optimizing the three variables, the aggregator achieves its maximum profits.
We can then calculate: Let denote the zone for which L Z achieves its maximum.
Such a high indicator gives assurance that in the very nearest future, the coverage of baby-friendly hospital initiative achieves its maximum.
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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