9,961 reputation
22148
bio website gottwurfelt.wordpress.com
location Atlanta, GA
age 31
visits member for 4 years, 5 months
seen 7 hours ago

Data scientist and math blogger.


Sep
24
awarded  Nice Answer
Sep
23
comment How do I show that the series: $\sin(m) + \sin(\sin(m)) + \sin(\sin(\sin(m))) + \cdots$ converges for all real numbers $m$?
I don't have my copy at hand, but I believe that $a_k \sim \alpha \sqrt{3/k}$ is shown in de Bruijn's Asymptotic Methods in Analysis.
Sep
18
reviewed Approve Subgroup generated by a set
Sep
18
comment Proving $\frac{1}{\sin^{2}\frac{\pi}{14}} + \frac{1}{\sin^{2}\frac{3\pi}{14}} + \frac{1}{\sin^{2}\frac{5\pi}{14}} = 24$
If I'm not mistaken, this generalizes to give $\sum_{k=1}^n \csc^2 (k\pi/(2n+1)) = 2n(n+1)$, with $n = 3$ being the original question.
Sep
16
revised How many ways are there to write $675$ as a difference of two squares?
retagged
Sep
16
answered Finding a recursive formula for a number
Sep
15
comment Random walk on a finite square grid: probability of given position after 15 or 3600 moves
For a related blog post see John Cook's post.
Sep
12
awarded  Autobiographer
Sep
11
answered Odds for randomly assigning a men-only group in a team working assignment
Sep
5
awarded  Necromancer
Sep
4
answered Approximating Logs and Antilogs by hand
Sep
3
awarded  Enlightened
Sep
3
awarded  Nice Answer
Aug
26
reviewed Reject How to find the remainder when the following series is divided by 12?
Aug
15
comment Is there a name for the function $\max(x, 0)$?
It should be noted that the negative part is, in fact, a positive number. For example the negative part of -3 is 3.
Aug
11
reviewed Approve optimization tag wiki
Aug
5
comment Asymptotic behavior of $\sum\limits_{k=1}^n \frac{2^k}{k}$
Call your sum $S_n$. Let $T_n = S_n/2^n$; then it's not hard to show that $T_1 = 1$, $T_n = T_{n-1}/2 + 1/n$. You want to show $T_n \sim 2/(n+1)$. Not sure this helps.
Aug
5
awarded  Good Answer
Jul
21
awarded  Yearling
Jul
17
reviewed Approve A strange puzzle having two possible solutions