Reputation
3,502
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
7 23
Newest
 Yearling
Impact
~41k people reached

Oct
14
comment Can someone show me a proof of the general solution for 2nd order homogenous linear differential equations?
@IanMateus You should complement the answer with the one root case (it's right around the corner). Very nice use of factorization. (+1)
Oct
12
answered Special Differential Equation
Oct
12
revised Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$
clarified the formula
Oct
12
suggested approved edit on Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$
Oct
12
comment Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$
Have you tried using Parseval's Theorem or Bessel's Inequality?
Oct
12
revised Common tangent to two circles
added analytic geometry tag
Oct
12
suggested approved edit on Common tangent to two circles
Oct
12
comment What is the name of this equation?
Doing a google image search
Oct
12
comment Sequence of polynomials that converges to $|x|$ over $[-1,1]$
Maybe with an orthogonal polynomial?
Oct
12
comment Shifting an integral
Very nice and simple. +1
Oct
12
comment Shifting an integral
Let me see if I understand your answer. The integral for $l_0$ is already in the needed form. Then, taking $l_1 = \int_0^{t_1} - l_0$, where the integral is in the needed form, etc?
Oct
12
revised Shifting an integral
added 2 characters in body
Oct
12
answered Shifting an integral
Oct
12
comment Analytic Function with positive integers as zeros?
Very nice proof! (+1)
Oct
12
comment Analytic Function with positive integers as zeros?
Ok, then how about this idea: Take something like $H(1-z) + \frac{1}{2} \sin(\pi z)$, but instead of the Heaviside function, use a proper mollifier like function.
Oct
12
comment Analytic Function with positive integers as zeros?
Right, Didn't thought about the negative ones. As I did with the zero: $\frac{\sin(\pi z)}{\Pi_0^\infty (z + n)}$, but now I'm not sure about the analiticity (I think it is). If not, how about removing the negative ones using the $\Gamma$ function? They are of order one.
Oct
12
comment Analytic Function with positive integers as zeros?
What about $\frac{\sin(\pi z)}{z}$?
Oct
12
comment Problem involving points on a line.
I see you've solved it. Congrats!
Oct
12
comment Proof of an inequality about $\frac{1}{z} + \sum_{n=1}^{\infty}\frac{2z}{z^2 - n^2}$
Hint: Use the triangle inequality, and the fact that $|y| \le |z|$ to obtain the first $C$. Also, is the term $\frac{y}{y^2 + n^2}$ correct? Shouldn't be $\frac{y}{y^2 - n^2}$?
Oct
12
comment Proof of an inequality about $\frac{1}{z} + \sum_{n=1}^{\infty}\frac{2z}{z^2 - n^2}$
Did you missed the $\frac{1}{z}$ in the last line?