Skip to main content
gbd's user avatar
gbd's user avatar
gbd's user avatar
gbd
  • Member for 9 years
  • Last seen this week
10 votes
1 answer
290 views

Is there a way to perform this integration such that the answer is $e^{-|y|}$?

8 votes
1 answer
269 views

Is it possible to find the Taylor series of an integral where the upper limit depends on the variable? [closed]

7 votes
1 answer
8k views

Every bounded sequence is Cauchy?

5 votes
2 answers
3k views

Is the cantor set a connected set?

5 votes
4 answers
10k views

Is the Lagrange multiplier $\lambda$ always positive?

4 votes
1 answer
85 views

How to integrate of the derivative of a variable?

4 votes
1 answer
16k views

How to show that $f(z)=\sqrt{|xy|}$ satisfies the Cauchy Riemann equations but isn't differentiable at $z=0$?

4 votes
2 answers
256 views

Eventually $\implies$ Frequently

3 votes
0 answers
28 views

Why is $\mathcal R=\{B\cup(C|A):B\in \sigma_{\mathcal R}(A\cap \mathcal G),C\in \sigma_{\mathcal R}(\mathcal G)\}$ a $\sigma$-Ring?

3 votes
1 answer
31 views

How to prove that if $\mathcal F_1\subseteq \mathcal F_2$ then $\sigma(X,\mathcal F_1)$ is weaker than $\sigma(X,\mathcal F_2)$?

3 votes
0 answers
30 views

How to take the limit of of the real part of a complex value

3 votes
2 answers
82 views

In measure theory, what is an example of a set of not well-defined area in unit square in $\mathbb{R}^2$?

3 votes
3 answers
5k views

How to show that $f(z)=\frac{z^{5}}{|z|^4}$ satisfies the Cauchy Riemann equations at $z=0$ but not differentable at $z=0$?

3 votes
1 answer
2k views

Polar coordinates complex differentiation

3 votes
2 answers
1k views

How to integrate $\frac{1}{z}$ around square with vertices $(1,1),(-1,1),(1,-1),(-1,-1)$?

3 votes
1 answer
214 views

Is $(\mathbb{Z}_{n},+_{n},._{n})$ a field, $\forall n\in \mathbb{N}$?

3 votes
3 answers
2k views

Why is $\frac{1}{x}$ not Lebesgue integrable on $[0,1]$?

3 votes
4 answers
331 views

Is it true that if $f_{n}\rightarrow f$ uniformly converges then $f^{\prime}_{n}\rightarrow f^{\prime}$?

3 votes
3 answers
2k views

$\mathbb{R}$ is complete $\rightarrow$ $\mathbb{C}$ is complete

3 votes
2 answers
85 views

Can a Laurent series be found for $f(z)=\frac{1}{(z+1)(z+2)}$ in the region $0<|z+1|<2$?

3 votes
0 answers
61 views

Integration containing Dirac measure

3 votes
1 answer
58 views

The set of countable subsets is countable

3 votes
1 answer
56 views

What does $pr(x)$ function mean?

3 votes
2 answers
411 views

How to show that $Im(f) = B$ iff $f$ is onto?

2 votes
3 answers
207 views

Laurent series and region of convergence of $\frac{z}{(z+2)(z+1)}$ at $z=-2$

2 votes
0 answers
72 views

How to integrate $\frac{x^n\,\,\,\sqrt{x+1} }{\left(m (x+1)^3-x\right)^{3/2}}$?

2 votes
0 answers
51 views

How to find the Laurent series for $f(z)=\frac{2}{(z-4)}-\frac{3}{(z+1)}$

2 votes
1 answer
1k views

Residue and direction contour

2 votes
1 answer
254 views

How does $\int_0^x\int_0^x...\int_0^x(x-t)u(t)dtdt...dt=\frac{1}{n!}\int_0^x(x-t)^nu(t)dt$?

2 votes
3 answers
723 views

What does $\Bbb{Z}_{18}$ mean in this question?

1
2 3 4 5