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The phrase "after the first term" is correct and can be used in written English.
It is typically used to refer to something that occurs or is done after the initial part or stage of a process or event. Example: After the first term, students will have the opportunity to select their own elective courses. In this sentence, "after the first term" indicates that the action of selecting elective courses will take place at a later point in time, after the initial term has been completed.
Exact(16)
I stopped counting the number of times I'd been around the world after the first term.
(It would be Mr. Powell, who left after the first term).
"But she's also been clear about her intention to leave after the first term.
After the first term, you'll look back and realise how far you've come since you left home.
But after the first term I realised it would be much more enjoyable to study English and history, which didn't seem like work – so I switched.
With a 50-year parliamentary career, Benn was the longest-serving MP in the history of the Labour party and famously left parliament in 2001, after the first term of the Blair government, to "spend more time on politics".
Similar(44)
where is an channel coefficient vector that is zero padded after the first terms, and, and are column vectors collecting samples obtained from the received signal, the IBI error terms, and the samples obtained from the AWGN, respectively, such that (10). is a circular matrix whose first column is expressed as (11).
Incumbent presidents have typically gotten a lot of slack from voters, especially in the first term after their party took over the White House.
( {V}_1^0 ) appears in the first term after applying Eq. (1).
In theory, parents in England can choose when their children start school up to the statutory school starting age - the first term after the fifth birthday.
We claim that the first term, after choosing a subsequence, converges to zero.
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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