11,442 reputation
21051
bio website math.rochester.edu/people/…
location Rochester, NY
age 25
visits member for 2 years, 2 months
seen 53 mins 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.


2d
comment Complex Function in the unit disc
@Tim: The unit disc contains $2/3$ and not $4/3$. Thus it doesn't take the unit disc to itself. However, the point is superfluous as it is the derivative and not the function itself.
2d
reviewed Approve Complex Function in the unit disc
2d
comment Complex Function in the unit disc
@MielSharf: I think it is $f'(2/3)=4/3$.
Dec
14
reviewed Close Greatest common divisor is divisible by every common divisor
Dec
14
reviewed Close Problem of Closed linear transformation in Normed spaces
Dec
14
reviewed Close Finite set in measure theory
Dec
14
reviewed Close Find a function in $L^p(\mathbb{R})$ only for $p=4$
Dec
13
answered How to find maximum value?
Dec
8
awarded  Caucus
Dec
8
comment limit points of $[0,1]$
That is a number less than zero, not a neighborhood of $0$. Neighborhoods are open sets.
Dec
8
comment limit points of $[0,1]$
What is a neighborhood not containing infinitely many points of $[0,1]$?
Dec
8
comment limit points of $[0,1]$
Does a neighborhood of $0$ in $[0,1]$ contain infinitely elements of $[0,1]$? Note the definition does not say the neighborhood needs to be a subset of $S$.
Dec
8
comment limit points of $[0,1]$
What is your definition of a limit point?
Dec
8
comment Is it true for every sequence $a_n$ that if $\sum a_n$ is absolutely convergent, then $\sum (-1)^n a_n$ is convergent?
Looks good to me!
Dec
7
awarded  Popular Question
Dec
6
comment Can we find a function $f$ verifying these equalities?
I assume you want $f$ to be continuous?
Dec
6
revised Can we find a function $f$ verifying these equalities?
corrected formatting
Dec
6
comment Testing if a function has an inverse.
@Mher: I completely agree. I am under the impression Vanio didn't know how to prove it and hoped nobody would notice...
Dec
6
comment Testing if a function has an inverse.
@Mher: $x_1^3-x_2^3=(x_1-x_2)(x_1^2+x_1x_2+x_2^2)$. Thus his last equation falls out to $(x_1-x_2)(x_1^2+x_1x_2+x_2^2+24)=0$, so one of the factors is $0$. The second term cannot be $0$, so $x_1=x_2$.
Dec
6
comment Testing if a function has an inverse.
You state that if $x_1\neq x_2$, then the last equation cannot be $0$; what steps are you taking to prove the claim? (Note: I'm not claiming the statement is false.)