Idiom
That's a given.
This means that there are no ifs or ands ot buts about something; it's a sure thing.
Exact(4)
Let be a given set-valued mapping.
Let (S: Xrightarrow2^{Y}) be a given set-valued map.
Let F : A × A → 2 Z be a given set-valued mapping.
Let F : K × K → 2 Z be a given set-valued mapping.
Similar(56)
It is further recorded that, for a given set values of the parameters, a significantly high-magnitude velocity profile is found in the two-fluid Casson model than in the two-fluid H-B model.
First, this fleet design problem is formally described in a non-linear mathematical model, and a linear model is presented for the situation where frequencies are limited to a given set of values.
It is noted that for a given set of values of the parameters, the plug core radius values of the two-fluid Casson model are significantly much lower than that of the two-fluid H-B model.
It is observed that, for a given set of values of the parameters, the velocity distribution of the two-fluid Casson model is considerably higher than that of the two-fluid Herschel-Bulkley fluid model.
Based on the AND operation every rule was examined for a given set of input values and the rule which satisfied the operational logic was used to generate the output for the inference system.
Every rule was examined for a given set of input values using the AND operation and the rule which satisfied the operational logic was used to generate the output for the inference system.
The value of w c is computed using Eq. (10) for a given set of values c1, c2 and G F. For normal concrete the value of c1 and c2 is taken as 3 and 7, respectively.
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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