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visits | member for | 4 years, 10 months |
seen | 30 mins ago | |
stats | profile views | 1,274 |
Aug 26 |
comment |
Toda Flow Embeddings
@DavidSpeyer: I believe one assumes that $a_i,b_i>0$ and so the Toda flow then preserves positivity. I've added this detail, thank you! I've also added the 4-d toda flow picture. |
Aug 26 |
revised |
Toda Flow Embeddings
added 111 characters in body |
Aug 24 |
comment |
open problems in Numerical Analysis
This question is very broad. It would be much better to at least specify a subfield. There's differential equations, linear algebra, fourier analysis, polynomial root finding, etc,etc. In all of these areas, usually the fundamental issue is the curse of dimensionality. |
Aug 22 |
comment |
Toda Flow Embeddings
@ChristianRemling: you're right but for higher dimensions you inevitably have to exit each face, and this is where the difficulty arises. See for example figure 7 of the above reference. |
Aug 22 |
revised |
Toda Flow Embeddings
added 283 characters in body |
Aug 22 |
asked | Toda Flow Embeddings |
Aug 21 |
comment |
Collatz property implying infinite “fall below” trajectories, is it known?
Correct me if I'm wrong but such "inverse" problems are easy for generating infinite sets of numbers for which the Collatz conjecture is true. Start with 1 and apply the Collatz algorithm backwards, where you are free to choose whether to double or subtract one/divide by three. |
Aug 10 |
awarded | Nice Answer |
Aug 10 |
revised |
Examples of unexpected mathematical images
added 124 characters in body |
Aug 10 |
comment |
Examples of unexpected mathematical images
This is amazing! Here's the paper reference ("Robust Uncertainty Principles: Exact Signal Reconstruction From Highly Incomplete Frequency Information"). home.ustc.edu.cn/~zhanghan/cs/Candes%20et%20al.06.pdf |
Aug 10 |
revised |
Examples of unexpected mathematical images
added 4 characters in body |
Aug 9 |
revised |
Examples of unexpected mathematical images
added 428 characters in body |
Aug 9 |
answered | Examples of unexpected mathematical images |
Jul 31 |
answered | Diagonalization via the Toda flow |
Jul 25 |
revised |
Quantities whose generating functions are symmetric
added 211 characters in body |
Jul 25 |
revised |
Quantities whose generating functions are symmetric
added 3 characters in body |
Jul 25 |
revised |
Quantities whose generating functions are symmetric
added 143 characters in body |
Jul 25 |
answered | Quantities whose generating functions are symmetric |
Jul 25 |
comment |
Quantities whose generating functions are symmetric
Mahonian statistics for permutations and their generalizations usually enjoy symmetric generating functions. However, you can usually prove these facts via bijections as well. Are you interested then in questions where symmetry is only known to come from a generating function argument? |
Jul 17 |
awarded | Notable Question |