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The phrase "and the implementation here" is correct and usable in written English.
It can be used when discussing a specific implementation of a concept, idea, or project in a particular context.
Example: "We need to evaluate the effectiveness of the proposed solution and the implementation here to ensure it meets our goals."
Alternatives: "and the execution here" or "and the application here".
Exact(2)
Included is a full Office document reading, writing, and editing suite called Documents To Go (or Dox to some of us old-schoolers), and the implementation here works great.
Despite rigorous checks with the implementation of this algorithm as published, and variation of parameters and similar experiments to reproduce the published data, this was not achieved and the implementation here consistently defined a larger number of putative sites.
Similar(57)
Slightly less impressive was the G Pro's Panorama feature — in theory it's similar to the Photo Sphere feature baked into Android 4.2, but the implementation here is more confusing and the results not as polished.
The implementation here was interfaced with The MathWorks™ MATLAB software and its Genetic Algorithm & Direct Search Toolbox.
The implementation here does nothing, so needs to be overridden by a derived class.
Here we only highlight the most important aspects of the implementation here.
To make the point, we consider two extreme examples, one of which may suggest a weakness in the implementation here.
Differential DHSs (∆DHS) scores were calculated according to the method proposed by He et al. 2012 [ 15] and the implementation used here has been provided as dnase_dshs_scores.py in pyDNase 0.2.0.
I've also examined the impact of cultural factors (and how the culture of data science differs from that of pharma), here; the challenge of AI black boxes, here; and the importance of understanding the difference between invention and implementation (here).
Diffraction is the only technique which provides direct and simultaneous information about mineralogy and crystallographic orientation, and its implementation here to characterise the onset of barite scale formation is a significant advance in the analytical capabilities at the disposal of engineers to investigate scale formation in an oil and gas processing context.
The multi-parameter detection concept may be generalized to any set of orthogonal spectral parameters, and for the implementation reported here we distinguished fluorescent probes by the fluorescence emission and the photo-activation spectra of the probes.
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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