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visits | member for | 4 years, 8 months |
seen | Aug 27 at 7:10 | |
stats | profile views | 3,925 |
Sep 10 |
awarded | Enlightened |
Aug 27 |
comment |
Algorithm for determining when polynomial iteration is bounded?
@Per: Thank you for the reference to the result on IFS undecidability. Alas, I don't see how to the IFS result here. However the second point, about the map $x\to x-1/x$ seems really interesting. Do you have a reference? |
Aug 26 |
asked | Algorithm for determining when polynomial iteration is bounded? |
Jul 2 |
awarded | Curious |
Jun 14 |
awarded | Enlightened |
Jun 14 |
awarded | Nice Answer |
Apr 28 |
awarded | Nice Answer |
Apr 28 |
comment |
The existence of non-trivial homomorphisms $\prod_{n=1}^{\infty}\mathbb{Z}/\bigoplus_{n=1}^{\infty}\mathbb{Z}\to\mathbb{Z}/p\mathbb{Z}$
Nice. Alternatively, we can think of the last displayed item as a ring $R$, every element of which satisfies the equation $x^p=x$. So if $I$ is any maximal ideal of $R$, then the elements of the field $R/I$ all satisfy the same equation, whence $R/I$ is the $p$-element field. |
Apr 27 |
answered | The existence of non-trivial homomorphisms $\prod_{n=1}^{\infty}\mathbb{Z}/\bigoplus_{n=1}^{\infty}\mathbb{Z}\to\mathbb{Z}/p\mathbb{Z}$ |
Apr 6 |
awarded | Yearling |
Mar 27 |
awarded | Popular Question |
Feb 7 |
comment |
A question about how polynomials simplify under substitution
The sequence of revisions in this post is confusing, and may have misled you, for which I am sorry. Note that in the example you give, the group $M_0$ contains the nonconstant polynomial $x_1-x_0$. |
Jan 20 |
awarded | Popular Question |
Jan 11 |
revised |
Distribution of polynomials mod 1 using co-prime integers
added 9 characters in body |
Jan 7 |
revised |
Floors of powers of reals, how much do the first few determine the next?
deleted 3 characters in body |
Jan 6 |
revised |
Floors of powers of reals, how much do the first few determine the next?
edited body |
Jan 6 |
revised |
Floors of powers of reals, how much do the first few determine the next?
edited body |
Jan 6 |
answered | Floors of powers of reals, how much do the first few determine the next? |
Dec 24 |
comment |
Generating primes via composition of polynomials
Joe, Thank you for explaining the lay of the land. |
Dec 24 |
comment |
Reducibility of polynomials maps
Yes. In fact $x^2+1$ does the job. |