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The phrase "a different implementation of" is correct and usable in written English.
It can be used when discussing variations or alternatives in methods, systems, or processes in a technical or general context.
Example: "The software offers a different implementation of the algorithm that improves efficiency."
Alternatives: "an alternative version of" or "a distinct approach to".
Exact(12)
A different implementation of the Monte Carlo projector method is presented.
However, the use of these two different Sherwood numbers implies a different implementation of the mass balance equations.
Note: some systems may have a different implementation of MPI already installed and in that implementation the c++ compiler may be called mpic++.
There is little or no reason to use this release, except that it includes U-Net Active Messages 1.1 and a different implementation of libunet.
Each version corresponds to a different implementation of the algorithm for the management of the actuation order, the algorithm for deciding the proper order to carry out the actions required by the user.
The aforementioned worries can be used to motivate a different implementation of the hybrid idea, one which takes slurs or epithets as a model.
Similar(48)
A provider-agnostic API that insulate users or applications from different implementation of different provider API.
I saw a few different implementations of it and found myself wishing that all shopping was done this way.
The two theoretical estimates differ by about 10%, a result of different implementations of a derivative surface boundary condition.
In this paper, a comparison of different implementations of a retinal vessel tree extraction algorithm was made.
Most software constructors have taken a heuristic approach to these design choices, and as a consequence two different implementations of the same method may show significant differences in performance.
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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