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The phrase "alterations to a minimum" is correct and usable in written English.
It can be used when discussing the need to limit changes or modifications in a particular context, such as a project or process.
Example: "To ensure the project stays on schedule, we need to keep alterations to a minimum."
Alternatives: "reduce changes to a minimum" or "limit modifications to a minimum".
Exact(2)
Coates writes: The text was duly sent to Mr Lansley's office with instructions to keep alterations to a minimum.
Such substances act as antioxidants (Simmonds 2003; Bouaziz et al. 2005), and their distribution along the gradient of ROS concentration possibly prevents oxidative stress in gall tissues, keeping cell alterations to a minimum.
Similar(58)
After the initial optimization, the alterations were kept to a minimum during the experiment.
On data obtained from high-throughput sequencing, improving quality through GC bias correction and keeping false positives to a minimum help build reliable copy number alteration profiles.
And protuberances are kept to a minimum.
Investment constraints are kept to a minimum.
Protocol has been reduced to a minimum.
Amenities would be pared to a minimum.
They have reduced fakes to a minimum.
Paperwork is kept to a minimum.
Keep cash to a minimum.
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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