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The phrase "allowing the difference" is correct and usable in written English.
It can be used in contexts where you want to express the idea of permitting or acknowledging a variation or distinction between two or more things.
Example: "The new policy is designed with flexibility in mind, allowing the difference in individual circumstances to be taken into account."
Alternatives: "permitting the variation" or "acknowledging the distinction".
Exact(4)
The standard of living approach aims to determine the cost of disability by comparing households with disabled and non-disabled members with the same level of welfare and allowing the difference in income to determine the cost of disability.
The described procedure of the hydrophone measurements of the pRMS maximum pressure amplitude at the λ/2 distance (here 0.75 mm) from the cell's level at the bottom of the dish or plate provides the guideline allowing the difference between the FF and SWMR conditions to be determined in any experimental setup.
The result of Hyers was generalized by Aoki [3] for approximate additive mappings and by ThM Rassias [4] for approximate linear mappings by allowing the difference Cauchy equation ∥ f ( x 1 + x 2 ) − f ( x 1 ) − f ( x 2 ) ∥ to be controlled by ε ( ∥ x 1 ∥ p + ∥ x 2 ∥ p ).
The result of Hyers was generalized by Aoki [3] for approximate additive mappings and by Rassias [4] for approximate linear mappings by allowing the difference Cauchy equation ∥ f ( x + y ) − f ( x ) − f ( y ) ∥ to be controlled by ε ( ∥ x ∥ p + ∥ y ∥ p ).
Similar(55)
Principal component analysis of conditions proved the good clusterization of samples (4 biological replicates) and consistence of the results between replicates, allowing the differences in steady-state mRNA levels between infected and non infected clams to be reliably measured.
Our system allows the difference between actual cost and reimbursement to be kept to a minimum.
These dummy variables allow the difference between the beta coefficients for the low-risk and high-risk groups to be tested.
This allows the difference between x1 and x2 to vary across gender, thereby testing the null hypothesis of no interaction effect.
This allows the differences between these two pieces to emerge, despite their close proximity.
In particular, it allows the differences between a set of marbles chosen as references to be highlighted and interpreted in terms of the experimentally observed thermal transition.
The partial credit model allows the differences between the various points on a mark scale to be assessed.
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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