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Where did you get that particular idea? PID is one of the oldest concepts in control theory, it goes back to the days before steam and electricity.

For a very early example:

https://en.wikipedia.org/wiki/Centrifugal_governor

It's hard to separate out the P, I and D from a mechanical implementation but they're all there in some form.

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Right, but the genius was in understanding that the dynamics of a system under PID control are predictable and described by differential equations. Are there examples of LLMs correctly identifying that a specific mathematical model applies and is appropriate for a problem?

And it's cheating if you give it a problem from a math textbook they have overfit on.

That doesn't make it AI.

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