5 ms·
Well, can you visualize vector spaces beyond 3 dimensions?
by peanutcrisis 3y ago
Well, can you visualize vector spaces beyond 3 dimensions?
- ndriscoll 3y agoYou just visualize 2 or 3 and say "n" or "infinite" out loud. A lot of the ideas carry over with some tweaks, even in infinite dimensions. Like spectral theorems mostly say that given some assumption, you have something like SVD. Now module theory, there's something I don't know how to visualize.
- chongli 3y agoYour intuitions can often lead you astray. For example, the curse of dimensionality [1] deceives our intuitions about volume at high dimensions. [1] https://en.wikipedia.org/wiki/Curse_of_dimensionality https://en.wikipedia.org/wiki/Curse_of_dimensionality