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The phrase "a given projection" is correct and usable in written English.
It can be used in contexts where you are referring to a specific projection that has been previously mentioned or is understood in the discussion.
Example: "In our analysis, we will focus on a given projection to assess the potential outcomes of the project."
Alternatives: "a specific projection" or "a particular projection".
Exact(9)
The future installed capacity was projected up to 2050 by a given projection of the Croatian Ministry of Economy [24].
It was carried out by a given projection of the Croatian Ministry of Economy [24].
CT image reconstruction is the process that a clear image is reconstructed in the case of a given projection data P.
All slice encodes for a given projection angle are acquired sequentially) and named as a profile.
Let the cost of applying EM algorithm for a given bucket be f and let the average number of buckets for a given projection be b.
The finding that Zn+ terminations can originate from only some of the layers giving rise to a given projection has also been repeatedly described in rodent.
Similar(51)
Our stimulation results, combined with an estimate of amplitude of a unitary synaptic connection, predicted 50B100 synapses from neighboring SNr projection neurons on to any given projection.
That would translate into roughly 12,000 fewer deaths per year, given projections for increased road use.
These results suggest that a given SNr projection neuron receives input from a spatially diffuse collection of other SNr projection neurons.
The results help the system designer select glasses with appropriate material properties to insure that stress birefringence effects are kept to a tolerable level for a given LCOS projection display system and application.
The following chart gives projections on a monthly basis, and the table provides yearly estimates.
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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