54,342 reputation
4115204
bio website
location
age
visits member for 4 years, 4 months
seen 10 hours ago

Don't have much time these days...


1d
awarded  Constituent
2d
revised $x^2-y^2=2s$, s cannot be an odd integer
edited tags
2d
comment How to show that the entire function $f(z) = z^2 + \cos{z}$ has range all of $\mathbb{C}$?
@Ylath: Yes, I believe so.
2d
comment Integer part of a sum (floor)
@CFG: You are welcome. Can you please tell us the name of the youth magazine? Sounds like a very interesting one...
Dec
19
revised Integer part of a sum (floor)
added 191 characters in body
Dec
19
answered Integer part of a sum (floor)
Dec
18
revised A curious identity of weighted sums over multi-set permutations.
edited title
Dec
18
revised Is this an accurate proof that no perfect square is of the form $4k+3$? ($k$ an integer)
edited tags
Dec
18
revised Integer part of a sum (floor)
calculus and precalculus are contradictory. Removing precalculus.
Dec
16
comment Integer part of a sum (floor)
@CFG: What exact magazine is this? Did you change any part of the problem? Are calculators allowed or is a mathematical proof required?
Dec
16
comment A finite sum over $\pm 1$ vectors
@Turbo: btw, I only asked because you edited the question asking for a short inductive proof. Is that a requirement?
Dec
15
revised A finite sum over $\pm 1$ vectors
edited body
Dec
15
comment A finite sum over $\pm 1$ vectors
@Turbo: Ok. There probably is, but this is quite short IMO. It only seems long because of the explanations.
Dec
15
comment A finite sum over $\pm 1$ vectors
@Turbo: You mean shortest proof? I don't know. Why is this insufficient? Is this homework (or something which requires a specific approach)?
Dec
15
answered recursive sub-sequences of sequence , one is increasing and one is decreasing to same limit -> the sequence converge?
Dec
15
comment A finite sum over $\pm 1$ vectors
This method also allows you to get the sum restricting $u$ to $|\sum u_i| \le K$.
Dec
15
revised A finite sum over $\pm 1$ vectors
added 16 characters in body
Dec
15
answered A finite sum over $\pm 1$ vectors
Dec
15
comment Proving $2 ( \cos \frac{4\pi}{19} + \cos \frac{6\pi}{19}+\cos \frac{10\pi}{19} )$ is a root of$ \sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$
@TitoPiezasIII: Thanks!
Dec
8
awarded  Caucus