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The phrase "a great difference exists between" is correct and usable in written English.
It can be used when discussing the distinctions or contrasts between two or more subjects or concepts.
Example: "A great difference exists between traditional education and online learning in terms of accessibility and engagement."
Alternatives: "a significant distinction exists between" or "a notable difference can be found between".
Exact(1)
During the rapid compaction stage, a great difference exists between the porosity evolution processes of the two samples, and the porosity reduction rate of sample III is significantly greater than that of sample II.
Similar(59)
It indicates that a great difference exists among SAG2A, -2B and SAG2C, -2D, -2X, -2Y.
This special laminar texture kind of formation bears the following characteristics: In parallel bedding directions (horizontal), its physical and mechanical properties are very close and can be approximately considered as the same; however, great differences exist between any direction of the bedding plane and that of the vertical bedding.
Great differences exist between the 2 countries in terms of resource use pattern in healthcare, healthcare cost, and so on.
In the discussion we state that it is unlikely a great fitness difference exists between polymorphisms buffering one type of variation (genetic or environmental) vs. both types.
Estimates from different estimation methods also differ across age groups: Greater differences exist between estimates in the younger age groups, with ILI-derived estimates being biased upwards relative to serology (although the 95% Bayesian credible intervals overlap).
Greater differences exist between armchair and zigzag edges in both CNT and graphene.
A distinct difference exists between the freshwater fish of Borneo and Celebes.
A principle difference exists between single vs. multiple somatic alleles.
A marked difference exists between shortsightedness and foresight.
For another, a difference exists between predictability and causality.
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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