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The phrase "and defining the function" is correct and usable in written English.
It can be used in contexts where you are discussing the process of establishing or clarifying the purpose or role of a function, often in programming or mathematical contexts.
Example: "The next step in our project involves analyzing the data and defining the function that will best represent our findings."
Alternatives: "and specifying the function" or "and outlining the function".
Exact(1)
We propose that SUMOylation can act as a molecular switch in the active zone, controlling the interactions and defining the function of different pools of multifunctional proteins, such as RIM1α.
Similar(58)
and define the function.
and defines the function by.
and define the function as follows: (3.24).
Fix, let be defined in (2.30) and define the function (3.16).
Assume now that case (2) holds and define the function v as in (3.8).
Further we will rename the unknown function (u_(x)) and define the function u_(x)=(mathit{lf}) (x - mathcal{D}u_) (x - mathcal{
Let (X=mathbb {R}) and define the function begin{aligned} S x,y,z)=|x-z|+|x+z-2y|text end{aligned}for all (x,y,zin mathbb {R} ).
Proof Let us fix f ∈ C and define the function τ ( g ) = inf M > 0 ( sup t ≥ M ρ ( T t ( f ) − g ) ).
Define the function (b:{mathbb{R}}^rightarrow {mathbb{R}}) by b(t)= begin{cases} sin t, &tin[2kpi, 2kpi+frac{pi}{2}], k=0,1,ldots; 0, &mbox{otherwise}, end{cases} and define the function (c:{mathbb{R}}^rightarrow {mathbb{R}}) by (e^{-t}).
Finally, consider (ainSigma^{infty}) with (l(a)=1) and define the function (f_{a}) from (Sigma^{infty}) into itself given by (f_{a}(x)=ax), where by ax we denote the concatenation of a and x.
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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