Your English writing platform
Discover LudwigExact(60)
end{aligned}It is clear that the first variation of a functional is a crucial tool to write optimality conditions for variational problems involving such a functional.
Stalling tactics dominate the first variation.
Dena Abergel had clarity and energy in the first variation.
Neither dancer overcame the difficulties, though, of the first variation.
Savannah Lowery delivered a promising first variation that highlighted the supremacy of her powerful legs.
(the trailing backslash in the first variation is the shell line continuation character).
The first variation was danced by David Blumenfeld at the matinee and Ben Griffiths in the evening.
But it's even better if you purée the salsa with a little olive oil, as in the first variation below.
A fidgety flurry of semi-quavers in the first variation causes one of the dancers to develop a twitch.
From the first variation, he smothered the gorgeous tune in filigree, apparently harking back to those pianistic showpieces of yore.
The lovely first variation, for example, is an appreciation of the composer's wife, Alice.
Write better and faster with AI suggestions while staying true to your unique style.
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