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The phrase "dimensions of variation" is correct and usable in written English.
It can be used when discussing different aspects or factors that can change or differ within a particular context or subject.
Example: "In our study, we explored the dimensions of variation in consumer behavior across different demographics."
Alternatives: "aspects of variation" or "factors of variation".
Exact(19)
The instances of attention differ along several dimensions of variation.
Functional and historical dimensions of variation must be considered in any point study.
Although the three dimensions of variation — internal strength, comparative strength, and scope — are logically independent, they are psychologically and politically intertwined.
Over-fitting is caused when the number of parameters in the model is greater than the number of dimensions of variation in the data.
The texts that I have sampled from different contexts illustrate two dimensions of variation in the overall, global organization of texts as rhetorical complexes: nuclearity and orientation.
(The "color solid" [see the link to the Munsell solid in Other Internet Resources, below], for example, characterizes color experience by appeal to just three dimensions of variation: hue, saturation, and lightness or brightness).
Similar(41)
Attitudes were variable, and dimensions of variations fit into nine themes: workflow, ownership and responsibility, relevance, uses, content, presentation, accuracy, alternatives, support/education and one cross-cutting theme of culture.
Attitudes were variable, and dimensions of variations fit into nine themes: workflow, ownership and responsibility, relevance, uses, content, presentation, accuracy, alternatives, support/education and one cross-cutting theme of culture (Table 1).
Still another dimension of variation, especially important in the United States, is connected with the race and ethnic origin of a speaker as well as with the speaker's date of immigration.
The competitor that achieves the highest value on the relevant dimension of variation is selected as the winner.
A more recent view holds that tangible qualities are best understood as intensive features that vary in intensity along a single dimension of variation (Fulkerson 2014b).
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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