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Let be a nontrivial vector space.
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Let σ be a nontrivial mean.
Let (I subseteq2^{mathbb{N}}) be a nontrivial ideal.
Let be a nontrivial solution of (1.6).
Let u be a nontrivial solution (u(t)) of (3.1).
Proof Let ( u, v ) be a nontrivial solution of (P).
Let f be a nontrivial function from AC ∘ ( I ).
Let (mathcal{U}) be a nontrivial ultrafilter over (mathbb{N}).
Let U be a nontrivial ultrafilter over ℕ.
This is an achievement: effective speech recognition is a "nontrivial problem," in the language of computer scientists.
That's a nontrivial number of infractions.
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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