Heberto del Rio
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 Apr 7 awarded Yearling 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