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The phrase "added on the second" is not entirely correct in standard written English.
It can be used when referring to something that was included or incorporated on a specific date, typically the second day of a month or event.
Example: "The new features were added on the second of March, enhancing the overall functionality of the software."
Alternatives: "included on the second" or "incorporated on the second."
Exact(17)
Suppose the message signal (o(t)) is trigonometric signal such as (o(t)=0.05sin 60pi t)), which is added on the second state variable of the drive system.
Only two runs had been added on the second morning when Johann Myburgh became the 24-year-old's first victim, before Petersen and Hildreth came together.
Klopp, who has consistently backed Mignolet, added: "On the second goal, on a perfect day he can make a save but there were a lot of mistakes before.
"I wasn't able to fight him away," she added on the second day of Cosby's trial. .
Some time later a balcony was added on the second floor.
These omissions were later added on the second disc of the soundtrack album of Me & My Katamari.
Similar(43)
Today is only 84 overs long here, extra time having been added on the first three days.
A study and home office were added on the first floor, and a lap pool was installed in the expanded yard.
Egan sold the book with twelve chapters, and later added on the thirteenth when she "became really obsessed with the idea of writing in PowerPoint," thanks in large part to the Obama campaign.
Laminin was added on the third day to promote differentiation.
Synchronization carriers are added on the first multicarrier symbol but are more sparsely distributed than pilot carriers.
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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