Something something transformation rule something something product of vector space and its dual space.
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(Real talk though, knowing a little differential geometry and what things like dual spaces are goes a looooong way toward understanding these things mathematically.)
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Its funny what people claim they understand until they're tasked with explaining it. "How do you visualize 9-dimensional space?" "I start by visualizing N-dimensional space, and then I set N equal to 9!"
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Mind = Blown
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It's a machine that eats two vectors and spits out a number. And, because it shouldn't care about the coordinate system of the vectors -- it doesn't!
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That’s the way my professor who taught me elastostatics/dynamics + fluid mechanics described it
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I’m beginning to feel tensor just reading thru these comments.
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After taking a couple of graduate algebra courses I still don’t entirely understand tensors; I just accept them.
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Acceptance is the first step
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Čini se da učitavanje traje već neko vrijeme.
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| UC Irvine Astrophysics PhD Student | UC Merced Alum | Former NASA Intern
| SF Giants and GS Warriors fanatic l Podcaster | He/him