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The phrase "as the first occurrence" is correct and usable in written English.
It can be used when referring to the initial instance of something happening or being mentioned in a text or discussion.
Example: "The term 'quantum computing' was defined in the document as the first occurrence of the concept in our research."
Alternatives: "at the initial instance" or "during the first mention".
Exact(35)
The primary endpoint was failure of prophylaxis, defined as the first occurrence of either the need to change the prophylactic regimen or the initiation of intravenous broad-spectrum antibiotics.
Trend (2001) suggested that a curriculum for geoscience should, therefore, be developed based on a sequence of pivotal geo-events, events in the history of life such as: the first occurrence of life on earth; the first life with hard parts; the first fish, land animals, trees, birds, and humans; and the extinction of the trilobites and dinosaurs.
As tremor is not a reliable symptom in the new line, we defined the disease onset as the first occurrence of gait impairment at 380 days of age.
The date of sex reassignment (start of follow-up) was defined as the first occurrence of a gender identity disorder diagnosis, without any other concomitant psychiatric disorder, in the Hospital Discharge Register after the patient changed sex status (any discordance in sex designation across the Censuses, Medical Birth, and Total Population registers).
Age of disease onset was established as the first occurrence of prominent psychotic symptoms and signs.
For each patient, sVARI was defined as the first occurrence of suspected VAP (sVAP) or suspected VAT (sVAT).
Similar(25)
Importantly, these words still elicited highly similar overall ratings of emotion type between the two occurrences (e.g., 痛恨 tonghen "hate" was rated mainly as disgust (54.4 %) + anger (38.2 %) at the first occurrence and as disgust (61.8 %) + anger (25.0 %) at the second occurrence).
As only the first occurrence of the event was of interest, the response E it was imputed only when E ij = 0 for all j < t.
Incident lung cancer cases were defined as either the first occurrence of lung cancer or a death due to lung cancer.
As an Air Marshal he still proudly wore his navigator's single-wing insignia, and is remembered by Second World War contemporaries of 59 Squadron, as Flt Lt E Allan recalled in his memoirs, as having been "the first occurrence of a nav becoming a pilot".
Overall, the RSL must be executed at least three times by considering the following as starting points: the first occurrence of level violating the CNCh, its predecessor, and the predecessor of the second occurrence.
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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