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 plagiarism
I 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.
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