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The phrase "discrepancy exist between" is correct and usable in written English
You can use it when referring to a difference or inconsistency between two or more things. For example: "There is a discrepancy exist between what the company says and what the employees believe."
Exact(1)
For all three, it would be interesting to re-analyze their data using our developed method for cohort-of-cases data, if possible, to see if a similar discrepancy exist between the two analytical methods as we have found, where the traditional method lead to an inflated projection of the number of incident events of diabetes, when compared to the observed count.
Similar(58)
Based on this algorithm, we found that significant discrepancy exists between the results produced by the existing online smoothing methods and the upper bound.
However, some discrepancy exists between their vortex movement and inner core asymmetric flow as discussed previously.
Within some sectors, a clear discrepancy exists between high and low vulnerability areas.
If a large discrepancy exists between the estimated state and actual state, a new policy has to be re-planned.
A similar discrepancy exists between the current study and the (010) α-FeOOH surface model of Rakovan et al. [5].
A clear discrepancy exists between this rate and the 0.1 m/ka estimated for the longer period since the end of the Pliocene.
However significant discrepancy exists between the theoretical prediction and experimental data when both fire site aspect ratio and tunnel height/width ratio are larger than 1.0.
Although large discrepancy existed between individuals, the percentage of B16F10 cells in the blood was not increased in RNF13-KO mice.
Early research suggests that a discrepancy exists between a person's perceived ability and actual ability to kneel [11, 15, 16].
A significant temperature discrepancy exists between the top and bottom surface in each pipe, deteriorated heat transfer occurs on the top surface but enhanced heat transfer happens in the bottom region.
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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