The phrase "adding to the set of" is correct and usable in written English.
It can be used when discussing the inclusion of new elements or items into a defined group or collection.
Example: "We are adding to the set of available resources by including new training materials."
Alternatives: "expanding the collection of" or "increasing the group of".
As their descendants spread around the globe, mutations also occurred, adding to the set of human genetic variation.
As a consequence, besides adding to the set of conservation equations introduced in Ríos Rodriguez et al. (2016) those corresponding to the momentum and energy balance for considering forced heat convection transfer, there appears the need of introducing additional equations for coupling the natural and forced heat convection transfer models.
Restoring the gauge invariance condition or reparametrization by adding to the set of equations of motion of the Friedmann equation as a constraint related to this invariance may be done, but the whole issue still needs careful analysis.
Random error was added to the set of generated artificial data.
If the probability is greater than a threshold, then the corresponding link is added to the set of suggested links.
Finally, the short-range sample begins in June 1986 and adds to the set of predictors consumer confidence survey data.
When a voxel is added to the marker group its ACG is added to the set of ACGs belonging to and this process is repeated.
If these computations lead to a feasible solution, the contending multicast transmissions of the winning base stations are then added to the set of scheduled multicast transmissions.
Nguyen and Pham [37] proposed a systematic approach to avoid the conflict between rules when a new rule was added to the set of rules for NER.
It is added to the set of base stations scheduled for transmission in this time slot if the newly expanded schedule is determined to be feasible.
The incremental selection AST (I-AST) adds successively antennas at every stage, so the antenna that yields the maximum increase of the channel capacity is added to the set of P transmit antennas [14].
