bio | website | |
---|---|---|
location | ||
age | ||
visits | member for | 4 years, 11 months |
seen | Jan 22 at 3:18 | |
stats | profile views | 1,145 |
Oct 7 |
awarded | Nice Question |
Oct 6 |
comment |
Why do roots of polynomials tend to have absolute value close to 1?
I know very little about the math going on in the background but a colleague demystified this for me by saying that basically it is a special feature of the basis you have chosen, namely the monomials. If you choose a different basis or even just weight each monomial by a factor, the roots will tend to congregate on a different set. Basically although a) any polynomial can arise and b) you chose them randomly... They aren't as generic as as you think; they've in fact been chosen in a special way. |
Aug 31 |
awarded | Yearling |
Aug 31 |
awarded | Disciplined |
Aug 3 |
awarded | Necromancer |
Jul 2 |
awarded | Curious |
Jan 24 |
awarded | Popular Question |
Jul 15 |
awarded | Nice Answer |
May 24 |
awarded | Good Question |
Mar 30 |
comment |
What's a mathematician to do?
Probably my favourite answer on MO. |
Mar 21 |
answered | Applications of Rademacher's Theorem |
Mar 11 |
comment |
What goes wrong for the Sobolev embeddings at $k=n/p$?
I'm not sure I quite appreciate exactly what is being asked. You lay out two cases and then say that what is essentially just a third case is an example of the other two not working. You say that the Sobolev embedding theorem "fails" or "goes wrong" when $k=n/p$, but one might say that it is simply neither of the two cases you lay out at the start. Nothing "fails", it just happens to be its own special case. |
Feb 27 |
awarded | Yearling |
Jan 30 |
awarded | Nice Answer |
Jan 25 |
comment |
What is the “real osculating space” of a (minimal) immersion?
Sorry - so do you know how the osculating space is then defined using this polynomial map? |
Nov 30 |
accepted | Divergence form Elliptic PDE Removable Singularity/Regularity Question |
Nov 28 |
asked | What is the “real osculating space” of a (minimal) immersion? |
Nov 28 |
revised |
Divergence form Elliptic PDE Removable Singularity/Regularity Question
added 456 characters in body |
Nov 26 |
asked | Divergence form Elliptic PDE Removable Singularity/Regularity Question |
Nov 3 |
awarded | Favorite Question |