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The phrase "a very rich training" is correct and usable in written English.
It can be used to describe a training program or experience that is comprehensive, diverse, and provides a lot of valuable information or skills.
Example: "The company offers a very rich training program that covers various aspects of project management and team collaboration."
Alternatives: "an extensive training" or "a comprehensive training".
Exact(1)
There is another striking difference: length-dependent probabilities (which by the way yield a so-called length-dependent SCFG (LSCFG), see [ 42], and already have been used in [ 43]), require a very rich training set.
Similar(59)
The interdisciplinary environment creates a very rich systemic training experience with exposure to diverse perspectives and a variety of theoretical or intervention approaches.
"He's a very rich, rich man".
A very rich statesman.
This must be a very rich woman.
Raese is a very rich guy.
It is still a very rich field.
"We are a very rich nation.
This is a very rich data set.
It's a very rich text.
"Science is a very rich area.
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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