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The phrase "by a corresponding" is correct and usable in written English.
It can be used when referring to something that is related or matched to another element in a specific context.
Example: "The increase in temperature was accompanied by a corresponding rise in humidity levels."
Alternatives: "by a matching" or "by a related".
Exact(60)
However, this has not been matched by a corresponding increase in the number of prison officers.
This interpretation is also proven by a corresponding laboratory experiment.
The founding of universities was naturally accompanied by a corresponding increase in schools of various kinds.
But that imbalance must always be matched by a corresponding imbalance in the capital account.
This decrease is driven by a corresponding increase in shopper marketing expenditures.
Mr. Rose's strengths in grandly assertive passages are not always matched by a corresponding delicacy when the music demands that.
It is verified to be valid by a corresponding test.
Classification of data points for each time course was performed automatically by a corresponding algorithm (see Supplementary Materials & Methods).
Each drum stroke can be expressed by a corresponding syllable, used for both teaching and performance purposes.
That attention, however, is not matched by a corresponding increase in resources and ability.
But there has been a revolution in television, started across the Atlantic, that has not been matched by a corresponding adjustment in journalistic criticism.
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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