11,037 reputation
2747
bio website math.rochester.edu/people/…
location Rochester, NY
age 25
visits member for 1 year, 10 months
seen 6 hours ago

I'm a graduate student at the U of R in Rochester, NY. I enjoy recreational mathematics including problem solving and most things topology.


14h
awarded  Nice Question
Jul
23
awarded  Popular Question
Jul
15
comment Does the converse of angle bisector theorem true?
@SwapnilTri: Yes, I believe he is asking: given a triangle, does any angle bisector necessarily bisect the side opposite the angle? However, his wording isn't very clear to me, and I don't like to answer unintended questions. :)
Jul
15
comment Does the converse of angle bisector theorem true?
What do you mean by "divides the opposite side" in your question? As in an equilateral triangle, angle bisectors will bisect the side opposite the angle, but there are clear counterexamples if this is not what you mean (e.g., a square).
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
28
comment How can I know how many real roots this polynomial has?
@Rahul: That is the correct technique.
Jun
18
awarded  Generalist
May
27
answered Convergence of $ \sum_{n=1}^\infty \frac{1}{n^q Log[n]^p}$ when $q$ is smaller than $1$
May
17
awarded  Nice Question
May
14
awarded  Popular Question
May
8
comment Is there an identity for cos(ab)?
Might not be too helpful, but you can expand $\cos((a+b)^2)$ and use the identities you have above to get a formula for $\cos(ab)$.
May
3
awarded  Nice Question
Mar
8
answered prove $g(x)$ is continuous at $x=0$ and $f(x)$ isn't
Mar
7
comment Show the usual metric on $C([0,1])$ does not give rise to a complete metric space.
I'm not understanding your example. At first, it seems like $n$ is a positive integer, so you are looking at constant functions $1/n$. After that, you are taking $0<n<1$... It would be nice if you explained a little better what you are trying to do here.
Mar
6
answered Series of supremums
Feb
27
comment Pointwise Convergence in $L^1$ norm
Thanks, Davide! I had not thought about the Arzela-Ascoli theorem; you have proven something much better than I hoped! Thank you again :)
Feb
27
comment Pointwise Convergence in $L^1$ norm
Thank you for the clear response! I approached the problem in the wrong way; your technique is much better :)
Feb
27
accepted Pointwise Convergence in $L^1$ norm
Feb
27
asked Pointwise Convergence in $L^1$ norm