Your English writing platform
Discover LudwigSuggestions(5)
The phrase "are defined the same" is correct and usable in written English.
It can be used when discussing concepts, terms, or categories that have identical definitions or meanings.
Example: "In this context, both terms are defined the same, leading to potential confusion."
Alternatives: "are defined identically" or "have the same definition".
Exact(14)
Assume that the map and the set are defined the same as in Theorem 3.4.
For each input, the functions are defined the same as above.
where and and J are defined the same as (11) and (12), respectively.
where H 1, H 2 are defined the same as in (3.22).
The terms RCoA, LCoA, BU, BA, LBU in ADA are defined the same as in HMIPv6.
provided that H 2 ( m, n ) < 1, m, n ∈ Z, where H 1, H 2 are defined the same as in (3.27).
Similar(46)
And these figures fail to show the problem's real extent since the poverty level is defined the same throughout the continental United States: $20,650 for a family of four.
The target is defined the same as for atomic policies.
ω is defined the same as in Theorem 2.1.
where is defined the same as in (2).
where G is defined the same as in Theorem 2.1.
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