6,936 reputation
31240
bio website vimeo.com/cculter
location Seattle, WA
age 30
visits member for 1 year
seen 7 hours ago

I'm a software developer at Microsoft, working on computer vision! Outside of work, I'm interested in the inverse problem: visualization of interesting structures, such as topological groups and music. I have a soft spot for dynamical systems, including celestial mechanics and dynamical billiards.


3h
awarded  Nice Answer
10h
revised Polygons with equal area and perimeter but different number of sides?
more descriptive title
10h
answered Polygons with equal area and perimeter but different number of sides?
Jul
20
awarded  Yearling
Jul
2
awarded  Curious
May
11
awarded  Guru
Apr
10
comment Is $\mathbb{Q}^2$ connected?
You might want to revisit your reasoning why $\mathbb Q$ is disconnected. It's unclear what you mean, and that could be the reason why it's hard to build upon that result.
Apr
10
answered Proof that 2 and 3 are the only siamese twins that exist!
Apr
8
comment What about rotation by 180 degrees?
@Frosty I wouldn't go that far. Like most sentences, the evaluation of this sentence depends on the context.
Apr
5
answered Cool property of the number $24$
Apr
5
awarded  Good Answer
Apr
4
awarded  Nice Answer
Apr
4
answered Is there a way to denote the calculation $1+2+3+\dots+n$?
Apr
4
revised Show that $m \le 2e/v \le M$
reformat title
Apr
4
awarded  Fanatic
Apr
2
comment How to find the Fourier transform of $\mathbf 1_{[0,2\pi]}(x)\sin(x)$?
I'm not sure if it'll get much simpler! Each of the two terms could be written as a product of a complex exponential and a sinc function, if you prefer.
Apr
2
comment How to find the Fourier transform of $\mathbf 1_{[0,2\pi]}(x)\sin(x)$?
Probably! The Fourier transform of a rectangle is a sinc, and the Fourier transform of a sine is a pair of Dirac deltas. So the Fourier transform of a rectangle times a sine is a sinc convolved with a pair of deltas, which equals a pair of sincs. From there, it's a matter of getting all the constants right.
Apr
2
comment How to find the Fourier transform of $\mathbf 1_{[0,2\pi]}(x)\sin(x)$?
In the title of the question and in the WolframAlpha input, you ask for the Fourier transform of $\sin(x)$. But in the body of the question and in the integral you set up, you ask for the Fourier transform of $\mathbf 1_{[0,2\pi]}(x)\sin(x)$. These are different functions, and they have different Fourier transforms. Which one are you interested in?
Apr
1
accepted Reference for a Cantor set in the plane formed from series of roots of unity
Apr
1
answered Reference for a Cantor set in the plane formed from series of roots of unity