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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 thi
by MalbertKerman 1y ago
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.
- sixo 1y agoWould you explain the joke for the rest of us?
- xeonmc 1y agoSpherical Haromics approximating Spherical Cows?
- dark__paladin 1y agoassume spherical cow
- MalbertKerman 1y agoIt'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.
- gsf_emergency_2 1y agoRelated 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." Video: https://youtu.be/q8gng_2gn70?t=8m3s https://youtu.be/q8gng_2gn70?t=8m3s Thanks to https://news.ycombinator.com/item?id=44481933 https://news.ycombinator.com/item?id=44481933
- Y_Y 1y agoIf 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 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!