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  • 31 votes cast
Mar
17
comment Residue Theorem and Homologous to zero
I think I'm a little confused here. In this example $f=\frac{1}{z^2}$ and so is analytic on $\mathbb{C}-\{0\}$. Then if our contour is just the unit circle traversed once around this point, shouldn't the winding number be 1?
Mar
17
asked Residue Theorem and Homologous to zero
Mar
1
accepted Morera's Theorem and annuli
Mar
1
answered Morera's Theorem and annuli
Mar
1
asked Morera's Theorem and annuli
Feb
19
comment Consider the function
I would try a sequential argument and use the denseness of $\mathbb{R}$.
Feb
19
comment A Step in the Proof of Green's Theorem
Which limits are you talking about? Could you be more specific?
Feb
17
revised Did I do this proof right?
Here is one proof.
Feb
12
awarded  Teacher
Feb
12
answered Did I do this proof right?
Feb
1
awarded  Critic
Feb
1
comment If $x_n \rightarrow 0$ and $\{y_n\}$ is a bounded sequence, then $x_ny_n \rightarrow 0$.
Just be careful of your $\alpha$. It must be a point so that $\alpha \in \mathbb{R}^+$. And yes, the same $N$ works because $y_n$ is bounded independent of whether $x_n$ converges or not.
Jan
12
accepted Part of Fubini's Theorem with almost everywhere
Jan
12
comment Part of Fubini's Theorem with almost everywhere
This question was already asked math.stackexchange.com/questions/1092685/…
Jan
12
accepted Tonelli and Fubini and almost everywhere
Jan
12
asked Part of Fubini's Theorem with almost everywhere
Jan
6
asked Riemann and Lebesgue improper integral Proof
Jan
6
revised Tonelli and Fubini and almost everywhere
added 65 characters in body
Jan
6
comment Tonelli and Fubini and almost everywhere
I had forgotten about this theorem. Thank you.
Jan
6
asked Tonelli and Fubini and almost everywhere