Your English writing platform
Discover LudwigSuggestions(5)
Exact(24)
He explained for the first time how space and time work.
This combined behaviour is explained for the first time for spinel type LiMn1.5Ni0.5O4 materials.
Your article, however, explained for the first time what Bernstein played and why he was interested in the carillon in the first place.
Mr. Walker explained for the first time publicly today why he became a spy, providing the Soviet Union with information about the Navy's most sensitive coding equipment.
He also explained for the first time that his proposal would affect only those who earn more than $1 million a year.
Bono also explained for the first time why Ms. Taymor's signature character, Arachne, a mortal transformed into a spider by the goddess Athena, has been scaled back.
Similar(36)
Comey explained, for the third time, that the Clinton investigation was about an email server and was concluded in July.
"It's Cline after Patsy Cline, you know," Bev explained for the fifth time that week, as the album spun to silence on the stereo in the hallway.
As Håkan reluctantly explained, for the second time, what he could see in front of him, and stubbornly denied the existence of the room, I realised that I was going to have to be more obvious.
At the third and final level (Fig. 3), the second-level output fuzzy sets become inputs for another aggregation (the various indices are composed according to the technique already explained for the second level) in order to produce the fuzzy index of "overall" sustainability "Output SUST" (social-environmental-economic dimension).
"Our work explains for the first time why royal jelly from honeybees can be beneficial to other organisms," he said.
More suggestions(12)
illustrated for the first
clarified for the first
described for the first
substantiated for the first
investigated for the first
characterized for the first
elucidated for the first
acknowledged for the first
explained for the largest
indicating for the first
explained for the first time
interpretation for the first
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