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Sep
24 |
awarded | Autobiographer |
Sep
18 |
comment |
Examples of intuition from fields other than Physics to solve math problems
@Olivier - It has been a while since I read the Aczel book, but the impression I got from it was that Bourbaki was part of the Structuralist movement, and that the influence went in both directions simultaneously. I may be misremembering -- and even if I am remembering correctly, I can't vouch for the accuracy of Aczel's account. It did seem to me at the time that Aczel was exaggerating the connection between Bourbaki and the Structuralists to make a better story. |
Sep
17 |
awarded | Teacher |
Sep
17 |
answered | Examples of intuition from fields other than Physics to solve math problems |
Mar
31 |
awarded | Quorum |
Mar
22 |
awarded | Yearling |
Mar
21 |
awarded | Nice Question |
Mar
21 |
awarded | Supporter |
Mar
21 |
accepted | Rings for which no polynomial induces the zero function |
Mar
21 |
comment |
Rings for which no polynomial induces the zero function
Let $R$ be the ring $\mathbb{Z}/p \mathbb{Z}$ with infinitely many elements $u_i$ adjoined, each satisfying the relation $u_i^p -u_i = 0$. Then the polynomial $p=x^p-x$ satisfies $\hat{p}=0$. |
Mar
21 |
comment |
Rings for which no polynomial induces the zero function
P Vanchinathan, yes, that was one of my examples. More precisely if $R$ is a ring that has my desired property, than $R \times R$ also has the desired property, even though it is not a domain. So that shows that "infinite domain" is not necessary for this property. |
Mar
21 |
awarded | Editor |
Mar
21 |
revised |
Rings for which no polynomial induces the zero function
added 10 characters in body |
Mar
21 |
asked | Rings for which no polynomial induces the zero function |
Oct
21 |
comment |
Lost soul: loneliness in pursing math. Advice needed.
When I was in my 1st year of grad school I got married; in my 3rd year we had our first child. I missed a lot of classes, and a lot of deadlines, and was worried that he consequences might be dire. But my professors all -- all, without exception -- told me not to worry: "Some things are more important than math", said one, and that advice has kept me (reasonably) sane and balanced. I hope it helps you too. |
Oct
15 |
comment |
A weird function related to the denominators of rational squares
Only in the most elementary case: \sigma (a) = 2 iff $a=n^2 + n$ for some $n$. |
Oct
12 |
awarded | Scholar |
Oct
12 |
comment |
A weird function related to the denominators of rational squares
Thanks -- those citations will be very helpful, I think. I am a total newbie when it comes to the OEIS; is there a way to search for papers / pages that discuss or reference a specific OEIS sequence? |
Oct
12 |
accepted | A weird function related to the denominators of rational squares |
Oct
12 |
comment |
A weird function related to the denominators of rational squares
Plus I've got a list of 20 special cases that have the form: If $a=n^2 + $ [something], then $\sigma (a) = $ [some specific linear polynomial in n with simple coefficiets]. But I can't find a way to tie those 20 special cases together into a general statement. |