Your English writing platform
Discover LudwigExact(9)
We then obtain a set of equations that, while defined on the whole Euclidean space, are intrinsic to the implicitly defined target manifold and map into it.
A complex medium contains nutrients which are not well defined chemically e.g., yeast extract, tryptone, peptone, casamino acids, while defined medium consists of chemicals which are chemically defined.
While defined as an emotional state of being, hope can also be a spiritual disposition of the soul.
It says a lot about the state of politics that these too-big-to-fail banks seem likely to survive the crisis, while defined benefit pensions may not.
While defined benefit plans remain in place, lawmakers must guarantee that the state will make its annual required contribution to the pubic pension system(s) in the state.
The broader meaning of "Maya" now current, while defined by linguistic relationships, is also used to refer to ethnic or cultural traits.
Similar(51)
In his wondrous performance, James Gandolfini continues to evoke sympathy for Tony while defining him in ever-darker terms.
In both cases, they reaped a backlash, while defining themselves as ideological and intensely out-of-touch.
Notes accompanying entries helpfully explain "flotsam" while defining "jetsam," or show how "mosquito" and certain forms of weaponry share etymological pasts.
This way, Mr. Bush can take the high road within his party, while defining himself as the logical alternative to Mr. Gore.
Self-selecting one's station, however, is a luxury afforded only by polls, while defining the actual middle class has kept economists, politicians and sociologists busy for decades.
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