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258114
bio website mathoverflow.net/users/13832/…
location Chicago, IL
age 20
visits member for 3 years, 5 months
seen May 31 at 6:42

Third year mathematics major at the University of Chicago, currently on leave. My research interest is billiards on polygons. You can contact me about mathematics at acbecker@uchicago.edu. For moderation issues, you will generally get a faster response by raising a flag on this site.


May
5
comment $\mathbb{R}$ and $\mathbb{R}\setminus \{0\}$ are not isomorphic as linear orders.
@AsafKaragila Makes sense, I agree.
May
5
revised $\mathbb{R}$ and $\mathbb{R}\setminus \{0\}$ are not isomorphic as linear orders.
edited tags
May
5
comment Is $0.1010010001000010000010000001 \ldots$ transcendental?
IIRC this is a challenge problem in Tools of the Trade by Paul Sally. I remember finding some reference a few years ago (after Sally assigned it to me among a list of problems) to this being open.
May
5
comment Suppose f(x) is an odd function. Prove that g(x) = |f(x)| is an even function.
What is $g(-x)$?
May
5
revised Maximum speed in a circular orbit?
rolled back to a previous revision
May
5
answered Understanding proof that $\pi$ is irrational
May
4
accepted If $K^{\mathrm{Gal}}/F$ is obtained by adjoining $n$th roots, must $K/F$ be as well?
May
4
comment If $K^{\mathrm{Gal}}/F$ is obtained by adjoining $n$th roots, must $K/F$ be as well?
Thanks, I see now that this question is trivial. So the Galois assumption is really quite necessary.
May
4
comment Find $\sup_{f\in F}|f(\frac{1}{2})|$.
Also, I suspect no such $f$ exists; you should instead approximate such a function.
May
4
comment Find $\sup_{f\in F}|f(\frac{1}{2})|$.
Do you mean $f(0)=f(1)=0$, not $f'(0)=f(1)=0$?
May
4
answered Problem understanding the Axiom of Foundation
May
3
comment Is number rational?
@mathh I assumed the OP meant the degree of the extension.
May
3
awarded  Enlightened
May
3
awarded  Nice Answer
May
2
comment Is number rational?
This is quite interesting, and really illustrates how powerful Galois theory is for reasoning about roots of polynomials.
May
2
comment Simplest proof of Taylor's theorem
Link-only answers are frowned upon because links often go dead, while answers here are expected to be permanent. If you could add some explanation of the proof to your answer, leaving the link for users who want additional details, it would greatly improve the answer.
May
2
comment Number of correctable symbol erasures in a code
For one thing, an erasure makes it clear something has gone wrong; an error does not. So you aren't in danger of over-correcting.
May
2
comment When does $ f'_{n}(x) \to g(x) =1$ imply $f'(x) =1 $
Are you not assuming that functions in $C^1(0,1)$ are continuously differentiable?
May
2
answered Is number rational?
May
2
revised Mathematicians ahead of their time?
rolled back to a previous revision