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The phrase "define for each" is correct and can be used in written English
It is often used to instruct someone to provide a definition for each item or element in a list or group. Example: "For your science project, please define for each type of rock found in the field trip: sedimentary, igneous, and metamorphic."
Exact(60)
For, define for each.
For, we define for each.
Given and, define for each.
Finally, we will define, for each,, by.
Let us define for each (5.42).
Next, we show that Choose and define for each.
If we define for each, then holds for every.
If we define for each, then we have for every.
Then we can define, for each, a nonexpansive single-valued mapping by.
To show that (B) implies (A), we define, for each, (3.4).
We can also define, for each, the Yosida approximation of by We know that for all.
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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