User gbd - Mathematics Stack Exchange

10 votes

1 answer

291 views

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

asked Apr 23, 2019 at 2:44

8 votes

1 answer

273 views

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

asked Sep 13, 2016 at 11:55

7 votes

1 answer

8k views

Every bounded sequence is Cauchy?

asked Nov 25, 2016 at 13:17

5 votes

2 answers

3k views

Is the cantor set a connected set?

asked Jan 16, 2016 at 23:11

5 votes

4 answers

10k views

Is the Lagrange multiplier $\lambda$ always positive?

asked Apr 24, 2019 at 22:11

4 votes

1 answer

85 views

How to integrate of the derivative of a variable?

asked Aug 15, 2016 at 21:13

4 votes

1 answer

16k views

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

asked Jan 6, 2017 at 16:32

4 votes

2 answers

261 views

Eventually $\implies$ Frequently

asked Oct 22, 2021 at 19:45

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?

asked Oct 24, 2021 at 5:25

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 $\sigma(X,\mathcal F_2)$?

asked Oct 16, 2021 at 8:19

3 votes

0 answers

30 views

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

asked Mar 10, 2022 at 4:43

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 $\mathbb{R}^2$?

asked Aug 14, 2022 at 19:24

3 votes

0 answers

37 views

The sufficient statistic and unbiased estimator of normal variance

asked Jun 30 at 18:19

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 $z=0$?

asked Jan 5, 2017 at 10:10

3 votes

1 answer

2k views

Polar coordinates complex differentiation

asked Jan 6, 2017 at 10:00

3 votes

2 answers

1k views

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

asked Jan 6, 2017 at 11:58

3 votes

1 answer

215 views

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

asked Jan 18, 2016 at 16:44

3 votes

3 answers

2k views

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

asked May 27, 2016 at 4:31

3 votes

4 answers

341 views

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

asked Jan 16, 2016 at 12:34

3 votes

3 answers

2k views

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

asked Nov 25, 2016 at 16:02

3 votes

2 answers

85 views

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

asked May 26, 2017 at 23:22

3 votes

0 answers

62 views

Integration containing Dirac measure

asked Mar 5, 2021 at 13:23

3 votes

1 answer

58 views

The set of countable subsets is countable

asked Oct 8, 2021 at 3:44

3 votes

1 answer

56 views

What does $pr(x)$ function mean?

asked May 1, 2017 at 5:54

3 votes

2 answers

415 views

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

asked May 8, 2017 at 16:06

2 votes

3 answers

207 views

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

asked May 26, 2017 at 7:30

2 votes

0 answers

73 views

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

asked Jul 13, 2016 at 19:13

2 votes

0 answers

54 views

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

asked Apr 1, 2017 at 8:55

2 votes

1 answer

1k views

Residue and direction contour

asked Apr 16, 2017 at 17:53

2 votes

1 answer

262 views

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

asked Oct 15, 2021 at 8:30

Stack Exchange Network

125 Questions

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

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

Every bounded sequence is Cauchy?

Is the cantor set a connected set?

Is the Lagrange multiplier $\lambda$ always positive?

How to integrate of the derivative of a variable?

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

Eventually $\implies$ Frequently

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?

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

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

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

The sufficient statistic and unbiased estimator of normal variance

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

Polar coordinates complex differentiation

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

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

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

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

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

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

Integration containing Dirac measure

The set of countable subsets is countable

What does $pr(x)$ function mean?

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

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

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

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

Residue and direction contour

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