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The phrase "a swift notation" is correct and usable in written English.
It can be used when referring to a quick or concise way of writing something, often in a technical or mathematical context.
Example: "In our discussion, we will use a swift notation to represent complex equations for clarity."
Alternatives: "a quick notation" or "a concise notation".
Exact(1)
For one thing, as you soon realize, it rains all the time here -- each chapter beginning with a swift notation of the weather, be it Soaking, Wet, Damp or Almost Dry -- while those on the edge of their seats about the consequences of Davey's dramatic return have a long wait ahead of them: it is a full 100 pages before we get to spend some quality time with the guy.
Similar(59)
A Swift machine.
There was a swift apology.
Munsell A H. A color notation.
A swift escalation.
– was met with a swift "no".
Chemotherapy is a swift, sure stylist.
The Egyptian authorities vowed a swift response.
They may not get a swift answer.
The announcement prompted a swift response.
A swift escort onto the next plane?
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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