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The phrase "a different importance of" is correct and usable in written English.
It can be used when discussing varying levels of significance or value attributed to something in different contexts or perspectives.
Example: "In this study, we explore a different importance of cultural heritage in urban development."
Alternatives: "a varying significance of" or "a distinct value of".
Exact(3)
On one side, such observed differences point to a different importance of transcriptional regulation mechanisms in respect to metabolic remodelling following adaptation to reduced oxygen availability, which probably reflect a divergence in the evolution of control mechanisms preferred by the two yeasts.
The contrasts levels at which the applied measures show increasing performance suggest a different importance of photon shot noise for the photoreceptor response reliability.
Furthermore, much of the evidence comes from the USA, a country where contrasts in urban design and neighbourhood segregation may lead to a different importance of the food environment compared to the UK (Cummins and Macintyre, 2006).
Similar(55)
First, we present an extension to the existing standard OA method, which allows for assigning a different importance to each atom of a given query molecule.
This variable is introduced to take into account the effect of the different importance of a tie for the users involved in the relationship.
Effective management of this is a job of balancing expectations and understanding the different importance of quality and quantity.
However, they only dealt with the different importance of data partitions within a frame, and they did not distinguish the importance between different video frame-types.
Several other works in IDNC considered different importance of packets and prioritized packets differently in coding decisions.
The different importance of the atoms of a query molecule can be represented in the OA approach by weighting the assignment edges that originate from the atoms.
Therefore, it seems relevant to make a distinction in different body regions because of potentially different (importance of) risk factors, underlying mechanisms, and natural course of the symptoms.
A surprizing outcome of this analysis is the very different importance of variation in the basal and regulated EYFP production rates, κ eyfp and κ eyfp (Table 1).
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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