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Discover LudwigThe phrase "and the function are" is grammatically correct and can be used in written English.
It can be used when discussing multiple subjects or components that include a function, typically in a context where you are describing their relationship or characteristics.
Example: "The variables are defined, and the function are ready for execution in the program."
Alternatives: "and the function is" or "along with the function being".
Exact(3)
where the operator and the function are defined by the equalities (2.6).
We prove that the complete elementary symmetric function and the function are Schur-convex functions in, where are nonnegative integers,,.
for every Substitution of these representations in the th equation of the system (2.1) leads to (2.5), where the operator and the function are described by formulas (2.6) and (2.7), respectively.
Similar(57)
"It was very fashionable when I was growing up, and the function was to make contact with another guy".
and the function is given by (3.4).
and the function is continuously differentiable, where =.
and the function is increasing on.
for and The function is defined by.
for and The function is defined by (1.10).
There exists such that and the function is analytic.
for every with and the function is continuous at then.
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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