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The phrase "a consistency on" is not correct and does not sound natural in written English.
It may be intended to express the idea of maintaining consistency regarding a specific topic or issue, but the phrasing is awkward.
Example: "There is a need for a consistency on the application of these rules across all departments."
Alternatives: "consistency regarding" or "consistency in".
Exact(2)
The Pixar creative squad imposes a consistency on its products that recalls the majestic use of mystery, comedy and fear that Mr. Miyazaki displays in his work.
Once they have settled on the essence of that specialty -- or at least their conception of its essence -- they can impose a consistency on their performances that will seem natural.
Similar(58)
The air had taken on a consistency of melted marshmallow -- thick, white, and sticky -- when Captain Etzel restarted the engine at 4 p.m. for the return trip.
So I dropped in for a consistency check on that burger, made of hanger steak and beef cheek, in addition to the fatback, and served on a soft bun with red onion, pickles and — shock of shocks — mayonnaise.
According to Allan Gibbard (2003, Ch. 5), ascriptive supervenience for ethical thought is explained by a consistency norm on planning states.
By performing a consistency check on the left and right sides of an image, the mismatching pixel can be eliminated.
This new method reduces the dimensionality of the parameter estimation problem and provides a consistency check on the spatially varying recharge estimates.
Under a consistency requirement on the risk measure that we call Vigilance, we show the existence of optimal contingent claims, and we show that such optimal contingent claims exhibit a desired monotonicity property.
A delayed rule has been set to daily perform a consistency check on the full iRODS file system and repair any broken data.
Even so, the Portuguese club have an ugly consistency on English soil.
The Paxos algorithm is proposed by Leslie Lamport in 1990 which is a consistency algorithm based on the message passing model.
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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