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The phrase "global consistency" is grammatically correct and can be used in written English.
It refers to the idea of maintaining uniformity or coherence across multiple systems or contexts on a global scale. Example: In order to improve our brand's image and ensure global consistency, we will need to standardize our marketing strategies and messaging across all regions and platforms.
Exact(57)
Soda companies want global consistency.
A.Creating global consistency is desirable but it will take time.
Deployment efforts heighten the tensions present in every sizable company between global consistency and local autonomy.
Weigend, F. & Häser, M. RI-MP2: first derivatives and global consistency.
The European Commission is a couple of steps behind, but promises to "ensure global consistency".
The messages need to be totally ordered at the nodes in order to maintain global consistency among the nodes.
Moreover, after a certain number of images are added to the mosaic, a novel affine refinement procedure is carried out to increase global consistency.
In response to the changes, a coalition-formation algorithm will be executed to allow agents to negotiate and re-establish global consistency and optimality.
Similar(3)
Ramachandran argues that Capgras may arise from the conjunction of two lesions: one affecting the brain's ability to attach emotional significance to a familiar face, and one affecting the global consistency-checking mechanism in the right hemisphere [ 28].
The evaluation of these three segmentation algorithms is based on two metrics defined by Martin et al.: Global Consistency Error (GCE), and Local Consistency Error (LCE) [4].
Thus, the main challenge here is that there are N instances of both Compression and Decompression component types deployed in a distributed manner and the middleware has to manage the dynamic dependencies [3] between all the component instances, guarantying the local/global consistency while updating the components.
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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