Your English writing platform
Discover LudwigSuggestions(3)
Exact(1)
To be able to use this two-sided Gaussian shape within the framework of our optimizing method, we must bound this shape by the same points used for the trapezoidal shape (Figure 7).
Similar(55)
By the same point, it plans to have reduced company travel by 10%.
By the same point in 2007, before the financial crisis, 1.52m new cars had been sold.
By the same point in their careers, Smith and Bay had both had No 1 albums and major hit singles.
This is down from 398,206 people who had secured their spot by the same point last year – a drop of 30,837.
By the same point after the Vietnam war, The Deer Hunter and Apocalypse Now's US box office receipts alone covered their extravagant production budgets.
The housebuilder said it has secured 2,282 reservations on new properties so far this year, only nine more orders than it had racked up by the same point last year.
The FSC said 24 permits for adult film production had been issued in Los Angeles county in 2013, compared with 480 by the same point in 2012.
By the same point this year, 25 states will have held primaries, so clustered together that some analysts say they may pass most voters in a blur.
Between the start of January and the end of June, the LAPD counted 102 gang murders; by the same point last year there had been 143.
The play ends with an imposed happy ending and a "reprieve" for all concerned; the audience, I'm afraid, by the same point feels mostly relief.
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