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The phrase "a more important dimension" is correct and usable in written English.
It can be used when discussing various aspects or factors of a topic, emphasizing the significance of one particular aspect over others.
Example: "In our analysis of the project, we found that a more important dimension to consider is the impact on community engagement."
Alternatives: "a more significant aspect" or "a more crucial element".
Exact(1)
The respondents considered "CSR drive" (M = 3.52) as a more important dimension than "eco-labels/indices" (M = 3.37) for business stewardship tools.
Similar(59)
First, as required by Lombardy Region HTA practise [1], the dimensions were prioritised, using a rating scale ranging from 1 (more important dimension) to 8 (least important dimension).
At present, however, we are unable to say why more intense exercise is the more important dimension of physical activity with respect to adiposity.
It is quite misleading to associate the term "Humboldtian linguistics" or "Humboldtian language philosophy" with any one specific direction, for example with the Whorfian thesis of "linguistic relativity" or with Chomsky's opposite notion of a universalist "generative grammar" because these tend to ignore other equally or more important dimensions of Humboldt's work.
The hierarchical surpluses also provide information about the more important dimensions, and accordingly the random elements can be split along those dimensions.
Nevertheless, it is shown that the presence of pores with appropriate sizes (close to the molecular dimension) has a more important effect on the retention of the adsorbates than chemical surface groups.
In terms of function, however, there is a more important distinction along the medial-to-lateral dimension.
But for Mr. Giddings and like-minded owners, the social dimension of modifying the Leaf is a more important incentive.
The Rashtrakuta capital was moved to Manyakheta (Andhra Pradesh), doubtlessly to facilitate southern involvements, which clearly took on more-important dimensions at this time.
There is an equally (if not more) important "cognitive dimension" that pertains to how one sees and interacts with the world (Westerhoff, 2009).
Results regarding perceptions of taste indicated that the descriptors were an important dimension; brands more positively evaluated were those with flavour additives (menthol) or other references to flavour (natural flavour, rich taste).
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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