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The models developed were validated and proved to be valid when considering different data sets.
"In hip-hop, I'm valid when I'm disrespected".
Any kind of work can be valid when it has a contradiction to different realities.
The relation (2.4). is valid when,,.
This simplification is valid when p ≥ ν.
(2) Theorem 1.1 does not remain valid when n = 1.
which is valid when assumption (93) is true and also.
If it is valid when, then is called -nonexpansive.
The case is valid when USA is participating.
When, the inequality (3.3). is valid; when, the inequality (3.4).
and an analogous argument is valid when and satisfies (2.1).
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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