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- URL: https://x.com/ggerganov/status/1229262137488314368
- Author: Georgi Gerganov (@ggerganov)
- Posted: 2020-02-17 04:31:46
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1/ @ggerganov
@EricLengyel
What’s this supposed to mean - these are basic definitions. Everybody was taught that in school
2/ @EricLengyel
@ggerganov
That’s my point. Everybody was taught that those are the basic definitions, but it’s not true. Those formulas naturally (and easily) arise from more fundamental principles in Grassmann algebra. But since that is not taught to the teachers, they simply don’t know any better.
3/ @ggerganov
@EricLengyel
I wouldn’t call this a “derivation”. It’s a generalisation of the operations
4/ @EricLengyel
@ggerganov
I didn’t state the derivation, yet. Both the dot product and cross product can be derived by starting with nothing more than the wedge product of something with itself is zero.
5/ @prathyvsh
@EricLengyel @ggerganov
But then how can that be derived?
6/ @elijahlape
@prathyvsh
It’s covered here https://youtu.be/WZApQkDBr5o
7/ @prathyvsh
@elijahlape
This looks lovely. Let me take a look. But I think it’s an axiomatic first principle foundation that can’t be “derived”.