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The phrase "a first wave of" is correct and usable in written English.
It can be used to describe an initial group or occurrence of something, often in the context of trends, movements, or events.
Example: "The city experienced a first wave of tourists during the summer festival, bringing life and excitement to the streets."
Alternatives: "an initial surge of" or "a preliminary group of".
Exact(60)
A first wave of branching morphogenesis progresses throughout embryonic development, generating branches for both compartments.
In the UK, a first wave of 25 "exemplar" services are being moved online.
In the 1960s, American manufacturers went through a first wave of mergers.
It survived a first wave of foreign competition in the 1990s.
A first wave of reforms under Maria Theresa came to Milan in the early 1740s.
"One rope succeeded in quickly lowering a first wave of four combatants," he added.
A first wave of disruptive tech-enabled businesses has emerged in the consumer space.
About 480 demonstrators were arrested during a first wave of protests between May and October of last year.
By the time the Asus-Leap bundles reach consumers, a first wave of apps will be available, says Buckwald.
Republican and Democratic leaders in Congress have offered bipartisan support to a first wave of overnight strikes in Syria.
"There was a first wave of deaths caused by the floods themselves," said Maurizio Giuliano, a United Nations spokesman.
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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