I'm pondering some things I just read saying we need to emphasise the distinction between science and engineering more. I feel like the boundaries between things are usually hazy, especially between theoretical and applied things.
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Replying to @DrEugeniaCheng
Just the other day I saw some article/podcast that apparently argues the opposite, that we should see more how engineering is pretty much just science! I must look for it...
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Replying to @nwerneck
Ha, interesting! Of course I would say we should see the sense in which it is the same and the senses in which it is different...
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Replying to @DrEugeniaCheng @nwerneck
Roboticists are keenly interested in problems of optimal control, which, when solvable, seem crucially to involve a notion they call "differential flatness." Probably this is some sort of integrability condition (in the Frobenius-Cartan sense), but it seems nobody knows, exactly.
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I strongly suspect that translating between the engineering literature on exactly-solvable problems of optimal robotic control and the literature of Cartanian differential geometry would lead to fascinating insights attractive to readers of both. Mathematics is everywhere.
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