824 reputation
14
bio website
location
age
visits member for 1 year
seen Jun 13 '13 at 17:38

Apr
7
awarded  Yearling
Jun
13
awarded  Informed
Jun
10
comment Computing integral of $2$ - form on a torus
You ate totally right, isometric is irrelevant, orientation-preserving is just needed
Jun
5
comment one to one and onto problem
Your are right in that is not onto, and your reasoning is right, for any $n\in\mathbb{N}$, $2n-1$ is always an odd number. You are also right about the function being one-to-one, and the way you prove it is correct. :)
Jun
5
comment Normalize a negative range
If $-12\leq x\leq 12$ then $u=\dfrac{x+12}{24}$ satisfy: $0\leq u\leq 1$
Jun
4
revised Computing integral of $2$ - form on a torus
added 75 characters in body
Jun
4
answered Computing integral of $2$ - form on a torus
Jun
4
answered What law of algebra of proposition is happening here?
May
31
answered System of Pythagorean Quadratics
May
30
comment System of Pythagorean Quadratics
What is a mechanical link?
May
30
comment Confusion regarding probability of microbe producing everlasting colony.
Great explanation!
May
30
comment Convex homogeneous function
Henrique answered your question, since you have for a>0 the following inequalities: $af(x)≤f(ax)≤af(x)$, therefore $f(ax)=af(x)$. If $f$ where not CONVEX you could have that $f(0)<0$ and this would not prove the equality $f(ax)=af(x)$. But since $f$ is convex therefore continuous the equality $f(ax)=af(x)$ follows by continuity.
May
30
answered How to force wxMaxima to calculate subfunctions?
May
30
answered What property allows me to integrate a gaussian function?
May
30
comment If $\lim\limits_{x \to \infty} f'(x) = L$ and $\lim\limits_{n \to \infty} f(n) = A$ exists, prove that $L = 0$.
It is true that not every increasing function tends to infinity, but in this case since $f'(x)>L-\epsilon>0$ $\epsilon$ can be chosen such that $L-\epsilon>L/2$ which will imply that $\lim_{x\to\infty}f'(x)>0$ thus avoiding horizontal asymptotes therefore we can safely conclude that $\lim_{x\to\infty}f(x)=\infty$
May
30
answered Group Actions of $S_n$ and $O(n)$
May
8
answered If $\lim\limits_{x \to \infty} f'(x) = L$ and $\lim\limits_{n \to \infty} f(n) = A$ exists, prove that $L = 0$.
May
8
comment Prove this proprety of $f(x)$
I did copied and pasted the answer on the previous question as you suggested, for completeness only.
May
8
awarded  Commentator
May
8
comment Prove the following property of $f(x)$?
That's what meant, I forgot to write $|x|$ and I wrote $x$ instead.