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Discover LudwigThe phrase "is defined on" is grammatically correct and commonly used in written English.
You can use "is defined on" to describe something that is established or specified within a certain context or framework. It often refers to a rule, principle, or definition that applies to a particular subject. Example: "The term 'multiplication' is defined on sets of numbers, where the operation involves combining equal groups." This sentence indicates that the definition of multiplication applies specifically to sets of numbers and involves combining equal groups.
Exact(60)
(A lunk is defined, on a poster, as "one who grunts, drops weights, or judges").
The projection is defined on the entire sphere, except at one point the projection point.
(i) is defined on the Banach space.
The function is defined on by (1.16).
Moreover, a Local Search is defined on each search space.
We assume that f is defined on ([ a,b ] ).
(i) K N is defined on the Banach space (X, || ⋅ ||).
The classical Riesz potential is defined on by (1.1).
The Hardy-Littlewood maximal operator is defined on by (2.24).
where f is defined on N b only.
For, the Riesz potential is defined on by (4.1).
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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