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The phrase "across different instances" is correct and usable in written English.
It can be used when discussing variations or occurrences of something in multiple situations or examples.
Example: "The results of the experiment varied across different instances, highlighting the need for further investigation."
Alternatives: "in various cases" or "throughout different examples".
Exact(4)
Do people behave consistently across different instances of moral dilemmas or is their decision-making a product of the particular context they are facing?
On the other hand, the filter rules can be distributed across different instances of the SCB, processing a published event in parallel.
The latter is achieved by replicating the context dissemination and filtering component or by distributing the filter rules across different instances of this component.
Harnad (1982 , 1987 postulates a system for speech perception in which input is represented both as analog representations that are faithful to the physical spectrotemporal properties and instance-to-instance variations in the signal and as a categorical representation that retains only the invariant information across different instances of the category.
Similar(56)
Stronger connectivity between the dorsal salience network and the medial amygdala network was associated with more intense ratings of emotional experience across six different instances of the three emotion categories examined.
The challenge is to keep utilization optimized across the different instances that a company might use.
Remindings may be most beneficial when learners can extract the deep structure of episodes and connect across superficially different instances.
Through an interesting confluence, I recently came across three different instances of the same question: what is the "minimum viable product" for urban renewal?
Most students lacked the ability to transfer conceptual knowledge across the two different instances. .
Also, stronger connectivity between the dorsal salience network and the ventrolateral amygdala network was associated with more intense ratings of emotional experience across five out of the six different instances.
They come up at different instances through the book.
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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