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The phrase "achieves the first" is correct and usable in written English.
It can be used in contexts where you are discussing accomplishments or milestones, particularly in competitive or sequential scenarios.
Example: "The athlete achieves the first record in the history of the competition, setting a new standard for future participants."
Alternatives: "reaches the first" or "attains the first".
Exact(8)
The present study achieves the first ever engineering of a consolidated bioprocessing bacterial system for the production of a bioplastic from a hemicelluosic feedstock.
SPS achieves the first criterion using a novel technique whereby the M2M device captures incoming or outgoing moments of timing messages.
Malone said Sarah's fight to clear her name would continue: "Whilst this criminal injuries compensation appeal achieves the first act of justice for Sarah, her battle to overturn her conviction for perverting the course of justice continues.
Dijkstra's algorithm achieves the first route setup, whereas the ACO algorithm is responsible for route exploration and maintenance.
Similarly, to win an incisive detection attack, an adversary achieves the first two levels of target but fails to achieve target level 3.
The implemented system precisely identifies specific behaviors and achieves the first place for detecting running people in the TRECVID 2009 Surveillance Event Detection Task.
Similar(52)
We show that our new model achieves the first-best performance, and improve the two parties' profits if the supplier's unit information rent does not exceed an upper bound.
If a protocol Ψ prescribes the scheduling action profile a PO every day regardless of the history, then V=V ∗ and thus Ψ achieves the first-best sum utility (0-PO).
SimBoostQuant achieves the second best performance in terms of RMSE, AUC and CI.
Meanwhile, NGF achieves the second in terms of average CMN value.
Also, 'response to mechanical stimulus' achieves the second highest rank.
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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