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The noise is assumed i.i.d.i.d
Note that without loss of generality we assumed i ≤ k ≤ l ≤ j.
People have assumed I was the exception.
People assumed I was Egyptian.
"I assumed I was dead.
He assumed I would get over it.
I assumed I had driven him away.
He assumed I had forgotten his birthday.
He assumed I knew where he was.
I kind of assumed I could, too.
"Everyone assumed I was there because it's my family's business".
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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