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Gradient, Divergence and Curl

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Math Files

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42,168 Aufrufe • vor 2 Tagen •via X (Twitter)

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Profilbild von Jessica Rose Neville-Allman
Jessica Rose Neville-Allmanvor 1 Tag

Equations aren't quite correct there but really lovely artwork though!

Profilbild von Wise mind
Wise mindvor 2 Tagen

You have a talent for turning a simple idea into an interesting challenge. That kind of creativity makes people stop and participate. Keep it going!

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Every LLM you've used runs on physics governed by divergence and curl. Maxwell's equations — the complete theory of light, electricity, and magnetism — are just four statements written in this language. One of them says the divergence of the magnetic field is zero everywhere, which is the exact mathematical reason magnetic monopoles can't exist. Divergence measures how much a vector field acts as a source or sink at a point; curl measures how much it rotates. That's it. But those two tools describe predator-prey population dynamics, the phase spaces of any differential equation, and the loss landscapes your GPU navigates during backpropagation — any system where a vector tells you which direction things want to move. 13 minutes. Bookmark & watch today.
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