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The phrase "alter the set of" is correct and usable in written English.
You can use it when discussing changes to a specific collection or group of items, variables, or elements in various contexts, such as mathematics, programming, or data analysis.
Example: "To improve the algorithm's performance, we need to alter the set of parameters used in the calculations."
Alternatives: "modify the group of" or "change the collection of".
Exact(9)
The experimental design is based on changes in an effort-cost parameter, which do not alter the set of Nash equilibria nor do they alter the predictions of adjustment theories based on imitation or best response dynamics.
Cluster kind realists will readily concede that, depending on the case, environmental pressures may affect and alter the set of properties associated with a kind over time.
This change does not alter the set of Turing-computable functions, and simplifies the formal definition by removing the second condition on the transition function in our definition.
The presence of short-term plasticity would alter the set of input patterns that could be provided, but for a fixed form of postsynaptic dynamics, only certain input patterns would be near-optimal, and if short-term plasticity promoted these, then the loss of the capability to produce non-optimal patterns would be irrelevant.
Positive and Negative treatments surged positive or negative stories higher on the page but did not alter the set of stories presented.
Because mutating dltA has been shown to alter the set of surface associated proteins of S. aureus and S. gordonii [9], [38], we were interested in asking whether some other surface proteins of S. pyogenes might be affected by mutating dltA.
Similar(51)
That scenario would be used to alter the sets of historic time series, and decision makers would explore how management might respond (IPCC-TGICA 2007).
Query 6: > While cancers from different patients show extensive heterogeneity in terms of the specific genes altered, the set of biological processes/pathway affected by these alterations are similar.
Interestingly, altering the set of the mass-selected clusters while keeping the overall composition the same would lead to the formation of a potentially different material.
A number of selection scenarios were investigated by altering the set of technical weights used, in order to illustrate the trade-offs in gain between the traits (Figures 1, 2 and 3).
As nearly-neutral mutations stabilize, the interactions between each residue change, altering the set of subsequently available neutral mutations.
More suggestions(18)
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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