# Marra

Brazil

 1d comment Is there any integral for the Golden Ratio?Use \{ and \} instead of the normal braces. 2d awarded Yearling 2d awarded Yearling Apr 29 comment How can I integrate the complex function $z= xy$ over the unit circle?Are you integrating on the border of the circle or over its area? Apr 29 comment How can I integrate the complex function $z= xy$ over the unit circle?The unit circle can be parametrized by $\phi(\theta)=(sin(\theta),cos(\theta))$, $\theta\in [0,1]$ Apr 27 awarded Popular Question Apr 26 awarded Nice Question Apr 25 awarded Scholar Apr 25 comment Adapting arguments and plagiarismI enjoyed your answer very much. Please accept my thanks! Apr 25 accepted Adapting arguments and plagiarism Apr 25 awarded Custodian Apr 25 awarded Student Apr 25 reviewed Approve suggested edit on Adapting arguments and plagiarism Apr 25 asked Adapting arguments and plagiarism Mar 27 comment Given that $W$ is a subspace of $V$, prove: $\dim W=\dim V \implies W=V$I think it is. You could also go with this route: There exists a linear mapping that is a bijection between the basis of $W$ and $V$. This mapping is an isomorphism, and then you can use it to prove that $V\subset W$. Mar 23 awarded Popular Question Mar 17 awarded Yearling Mar 17 awarded Yearling Feb 5 comment How to prove that any regular map $\phi : \Bbb P^1 \to \Bbb A^n(\Bbb C)$ maps $\Bbb P^1$ to point.When you wrote $\phi$ as quotients of functions in each coordinate that's exactly the coordinates you need. To understand this geometrically check out the charts in the Riemann Sphere (which is biholomorphic to $\mathbb{P}^1$ and therefore both are compact). By "globally holomorphic" I meant that it descends to an entire funtion (holomorphic in the entire complex plane).] Feb 5 answered How to prove that any regular map $\phi : \Bbb P^1 \to \Bbb A^n(\Bbb C)$ maps $\Bbb P^1$ to point.