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by mathgenius 1722 days ago
And here is linear algebra as path counting [1]. This is closely related to path integrals in quantum physics. The rules for combining quantum amplitudes are the rules for combining path counts [2]. This is also how graphical linear algebra works [3]. And since we are all hackers here, if you replace the underlying number system with the min-sum semiring you get things like Dijkstra's algorithm. I really like how all these ideas are related.

[1] https://www.youtube.com/watch?v=ei6RfbplYZM

[2] https://www.feynmanlectures.caltech.edu/III_03.html

[3] https://graphicallinearalgebra.net/

1 comments

I watched the path counting one and I want my time refunded please. It had nothing to do with linear algebra. Nothing to do with quantum physics either, except that they used bracket notation for some inexplicable reason.

What am I missing?

Thanks for the feedback. Do you want your time refunded, or do you want answers to your questions? The two seem to be in contradiction. If it's the former then what is your hourly rate for watching well-intentioned youtube videos made by experts in the field ?