@mkoeris @stevenstrogatz @AIsakovic1 @johncarlosbaez @techreview
A thread on diagrammatic calculations:
Re. Nov 13, 2019 MIT Technology Review
"How to turn the complex mathematics of vector calculus into simple pictures"https://www.technologyreview.com/s/614704/how-to-turn-the-complex-mathematics-of-vector-calculus-into-simple-pictures/ …
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Yes, I wanted to mention that one too. I think epsilon_{ijk} is more "tricky" and thus commands more attention, especially in the rules below, which look much more fun as diagrams. So it's like the temperamental star of a soap opera, while g_{ij} is the sturdy sidekick.pic.twitter.com/jUL2papPOk
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Of course conceptually it's more fundamental that SO(3) preserves the metric than that it preserves the volume 3-form. But when we learn vector calculus the intricacies of the cross product and curl eat up more brain cells than the dot product and divergence.
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