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The phrase "would be corresponding" is correct and usable in written English.
It can be used when discussing a hypothetical situation where something aligns or matches with something else. Example: "If the data were accurate, the results would be corresponding to our initial expectations."
Exact(5)
This revealed that there would be corresponding changes in the optimum splitting ratios of the couplers.
In each comparison, the simulated value was normalized to the observed data, whereas a proper simulation would be corresponding to a value close to 1.0.
We further hypothesized that there would be corresponding differences in the rates of phagosome maturation and intracellular survival.
While sowing cereals at a higher density in a uniform pattern would require some increased expenditures for new machinery and more seed for sowing, there would be corresponding reduction in expenses for weed control (chemicals, fuel, machinery, and manpower).
For example, if females invest more resources into chemical defences produced via secondary metabolism, there would be corresponding sexually dimorphic differences in the expression of genes involved in secondary metabolism.
Similar(54)
I'd been corresponding with the band a little on Facebook, trying to get a read on their politics.
SEVERAL months ago I flew to Beijing so I could introduce myself to a man I'd never met but with whom I'd been corresponding on-and-off for almost a year.
Unfortunately for Edmonds, he'd been corresponding with an undercover federal officer on Facebook for months.
I'd been corresponding with Zarzyski for several months, hoping to scratch beneath the surface of a genre so easily dismissed as doggerel and so often laughed away.
Months after our original interview, when I reached out to Young with a follow-up question, he rather casually told me that "Thom Young" was a collective of four writers who met at Texas Tech University ― though he, the person with whom I'd been corresponding, was the primary one.
Corresponding to the four categories of emotions would thus be corresponding material states of the pneuma.
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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