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By using in place of, we have (2.16).
Using in place of, we also can get (2.8).
The alternative case, in which we have conclusion (ii) in Lemma 4.4, is proved the same way, using in place of.
The integer IDCT or integer DCT of type III can be defined as in (9) by using in place of the following integer coefficients: (12).
So that's what we had in mind when we used the Belkin Universal Microphone Adapter to record a few telephone interviews to a 40-gig iPod, using in place of a microphone a recording attachment for the telephone.
The much-studied theory PA, first-order Peano arithmetic, is of course obtained by using, in place of the second-order induction postulate ∀X[X0 & ∀y Xy → XSy) → ∀y Xy], the corresponding first-order schema φ(0) & ∀y(φ y → φ Sy)) → ∀y φ y) where φ can be any suitable first-order formula.
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Other words you can use in place of "we" include: "our," "together" and "us".
"G" is used in place of it.
"What do we use in place of plastic bags?
Guardrails can sometimes be used in place of safety harnesses.
It is also used in place of "keyboard".
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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