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The phrase "adding to the function" is correct and usable in written English.
It can be used when discussing enhancements or contributions to a particular function or role within a system or process.
Example: "The new software update is adding to the function of the application by introducing several new features."
Alternatives: "enhancing the function" or "improving the function".
Exact(1)
Expressed in such an implicit manner, those restrictions could be used to construct restraints by adding to the function to minimize a term w 1(CH − d) + w 2(− 1).
Similar(59)
Here, we have added an assumption that the object dissipates and that the generation of the shock wave stops at the termination point of the fireball, so extra parameters are added to the function.
If assumption of proportionality is not realistic, time-dependent structures can be added to the function c as shown in Table 1.
That is why an arbitration mechanism was included in the law, adding to the many functions of the TDC.
The penalty function may be added to the objective function (as occurs in Simulated Annealing), or it may be kept separate and handled in an algorithm-specific way (as occurs in the Evolution Strategy).
Outlets vied for interviews with newsmakers, the "gets," and in so doing added to the story function of the news the revelatory function of the news: tell us all.
The IA constraints are added to the objective function and combined with the desired signal power via the Courant penalty function technique.
Images could also have scaling constraints added to the scoring function from (3) (Sect. 5.2).
In order to avoid overfitting, regularization terms are usually added to the objective function to modify the squared error.
We add to the trigger function a Time to Digital Converter (TDC) in order to make a separation between events.
To model the effect of valve-points, a recurring rectified sinusoid contribution is added to the quadratic function [12].
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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