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The phrase "compared to the case" is correct and usable in written English.
It can be used when making a comparison between a specific situation or example and another case.
Example: "Compared to the case of Smith v. Jones, this situation presents different legal challenges."
Alternatives: "in relation to the case" or "when considering the case".
Exact(60)
because the heat source temperature is higher compared to the case of air source heat pump.
Overall, the ash treatment increased soil loss by 47% compared to the case of bare soil.
Interfacial rheological and coreflooding results are compared to the case of seawater injection.
The experimental Nusselt and Sherwood numbers are then compared to the case of an isolated droplet.
In rigid submerged and emergent vegetation, wave velocities were reduced compared to the case without vegetation.
The limit for very low permeability was compared to the case of an impermeable sphere.
The results are compared to the case of the gas phase pentyl carbenium ion.
Oil imports remain at about today's level, and compared to the case with no carbon tax, are 10 million barrels per day less in 2050.
The direction of hysteresis in the neuronal response may be reversed for the system with recurrent connections compared to the case of unconnected neurons.
The case has caused intense polemics and divided this mostly Roman Catholic country, where it has been compared to the case of Terri Schiavo in the United States.
We achieve a 40-fold enhancement in the ratio of C2+ to the competing CH4 compared to the case of pure copper.
More suggestions(17)
connected to the case
allocated to the case
attributed to the case
compared to the reality
compared to the cases
compared to the instances
connection to the case
relationship to the case
preferable to the case
years to the case
comparison to the case
compared to the damage
compared to the pain
compared to the control
compared to the rest
compared to the marriage
compared to the nation
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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