Re:Functions Are Vectors (2023)
by MalbertKerman on Sunday July 06, 2025 @12:44PM
(#44482182)
The jump from spherical harmonics to eigenfunctions on a general mesh, and the specific example mesh chosen, might be the finest mathematical joke I've seen this decade.
[ Parent
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Would you explain the joke for the rest of us?
Re:Functions Are Vectors (2023)
by MalbertKerman on Sunday July 06, 2025 @01:40PM
(#44482612)
It's quietly reversing the traditional "We approximate the cow to be a sphere" and showing how the spherical math can, in fact, be generalized to solutions on the cow.
oh. I did not interpret that blob as a cow. Thanks.
In the Geometry Processing paragraph (second last, above Further Reading), there are clearly cow shapes: four legs, head with ears and horns.
Spherical Haromics approximating Spherical Cows?
Re:Functions Are Vectors (2023)
by dark__paladin on Sunday July 06, 2025 @01:37PM
(#44482592)
assume spherical cow
Re:Functions Are Vectors (2023)
by gsf_emergency_2 on Sunday July 06, 2025 @07:59PM
(#44485303)
Related to this footnote in TFA?
>If you’re alarmed by the fact that the set of all real functions does not form a HILBERT SPACE, you’re probably not in the target audience of this post."
If you're wondering what a Hilbert space, know that you're in good company.
> Dr. von Neumann, ich möchte gerne wissen, was ist denn eigentlich ein Hilbertscher Raum? (Dr. von Neumann, I'd would really like to know, just what exactly is a Hilbert space?)
Asked to John von Neumann to David Hilbert at a lecture.
https://ncatlab.org/nlab/show/Hilbert+space#fn:1
I'd like to add, as a physicist by training, that anything can be a Hilbert space if you wish hard enough. You can even use results about countable vector spaces if you need them!