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Exact(11)
Suppose that x ˜ ∈ Fix ( T ) and x ˆ ∈ Fix ( T ) both are solutions to (3.2).
Suppose both are solutions to (2.10).
Suppose and both are solutions to (3.4); then (3.5).
Suppose that x ∗ ∈ Ω and x ˜ ∈ Ω both are solutions to (3.2).
Suppose that (tilde{x}in{ varOmega }) and (hat{x}in{ varOmega }) both are solutions to the VIP (3.2).
Suppose that and both are solutions to (2.2); then and Adding up the two inequalities, we see that (2.3).
Similar(49)
Indeed, assume that both and are solutions to (3.1).
Suppose both and are solutions to (3.2), then (3.3).
Suppose both and are solutions to (2.3), not lost generality, we may assume there is a number such that.
If, we hAny from Lemma 2 that, with probability 1,.
Yet both are highly touted solutions to global poverty, and likely to be part of the SDG agenda.
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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