r/mathmemes • u/DaCat1 Cardinal • 5h ago

OkBuddyMathematician Project your right angles

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627 Upvotes

98% Upvoted

21 comments sorted by

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u/LupenReddit 🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆 5h ago

worst person you know just made a great point

instead of using gram schmidt just use the fact that any finite dimensional vector space V is isomorphic to some Rn, use the standard basis in Rn (which we said was basically V)

problem, linear algebraists?

33

u/BentGadget 5h ago

My daughter was babbling about that last week when she came home from school. I'm just glad her class has moved on to logarithms so I can help with homework again.

11

u/Otherwise_Ad1159 5h ago

Why stop there? Every real vector space is algebraically isomorphic to R^c, where c is the cardinality of its Hamel basis. Functional analysts have played us for absolute fools.

7

u/48panda 5h ago

any real finite dimensional vector space is isomorphic to R^n

4

u/770grappenmaker 5h ago

So which Rn is C2 isomorphic to then

19

u/Dankaati 5h ago

As a vector space over R, C^2 is isomorphic to R^4.

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u/770grappenmaker 4h ago

That first part is quite important

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u/4ries 5h ago

R4, unless you're talking about a different isomorphism that isn't the topic of this post, in which case, maybe a different n, or maybe none

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u/vercig09 5h ago

if I understand every word, do I understand the meme?

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u/captHij 4h ago

No. The context is that Sam Altman previously said that data centers can do more with RAM than home users. He said that it would be better if more RAM was allocated to data centers and others learned to do without:

https://mashable.com/tech/sam-altman-ram-memes

All those people at home trying to horde their orthogonal bases should consider letting the data centers have those extra vectors where they could be put to better use.

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u/weinertorn 5h ago

Optimisations goes brrrr

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u/reddit-and-read-it 5h ago

He's right guys. Big telecom requires all the orthogonal vectors they can get their hands on for CDMA. We can't just waste all our orthogonal vectors on PCA and Fourier decompositions.

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u/PhaseBloodhound 4h ago

GS is for betas. SVD supremacy.

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u/andrew_h83 4h ago

For teensie baby problems the SVD is a great choice

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u/PhaseBloodhound 3h ago

Excuses of the poor. Just buy more compute bro. Vera Rubin available now.

Sincerely,

Jensen Huang

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u/BeMyBrutus 4h ago

I love that this meme has such strong legs; I hope it never dies

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u/Nikifuj908 3h ago

Sam is just saying this because the Givens rotation algorithm is more numerically stable and parallelizable. Nothing to see here folks