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The phrase "a linear process of improvement" is correct and usable in written English.
You can use it when describing a systematic and sequential approach to enhancing a particular skill, process, or outcome.
Example: "The training program is designed to follow a linear process of improvement, ensuring that each participant builds on their skills progressively."
Alternatives: "a step-by-step approach to enhancement" or "a sequential method of development".
Exact(2)
Our study demonstrated that mental preparation for RTW is not a linear process of improvement.
Another contraction to this model is that our study demonstrated that mental preparation is not a linear process of improvement.
Similar(58)
It is not a linear process of a given duration; creativity is more like wandering about.
Brewing sake is a linear process, and sequential layout of spaces greatly contributes to its efficiency.
Cuban has long argued that school improvement is a linear process that "is a world apart from the hyperbole and gloom accompanying cyclical policy talk and action".
However, Bowles [ 40] still conceptualises the preparation for RTW as a linear process and negative emotions are regarded as a barrier to improvement.
Reasoning is a linear process that accounts for only one hundred thousandth of what humans do with their brains.
"Art history is not a linear process".
Fuel enrichment is not a linear process.
One of the hardest things for us to realize is that grief is not a linear process.
Other issues affecting uptake of scientific evidence in policymaking process is that of perception that the relationship between research and policy-making is a linear process.
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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