User Bunbury

5 votes

3 answers

2k views

Homomorphism from $S_4$ to $S_3$

asked Sep 22, 2019 at 18:54

3 votes

1 answer

825 views

Show that there is a unique differentiable function satisfying $f''(x)=a, f'(0)=b$, and $f(0)=c$.

asked Oct 24, 2018 at 0:57

2 votes

1 answer

877 views

Every bijective conformal transformation of $\mathbb{C} \to \mathbb{C}$ is of the form $f(z)=az+b$. [duplicate]

asked Apr 29, 2019 at 9:02

2 votes

0 answers

106 views

Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$.

asked May 21, 2019 at 6:14

2 votes

1 answer

7k views

Example of Integration by Parts in Higher Dimension

asked May 22, 2019 at 6:35

2 votes

1 answer

49 views

Help me get my head around this simple linear regression problem

asked Feb 10, 2021 at 14:44

2 votes

1 answer

32 views

Expected present value and expected future value

asked Dec 11, 2022 at 18:37

1 vote

1 answer

316 views

How to show that filter convergence implies Hausdorff

asked Sep 27, 2019 at 18:20

1 vote

0 answers

67 views

Power map and the induced homomorphism

asked Nov 11, 2019 at 17:27

1 vote

1 answer

805 views

Cauchy sequence of functions converges uniformly

asked Mar 30, 2019 at 9:09

1 vote

2 answers

135 views

Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition.

asked Nov 15, 2018 at 18:33

1 vote

4 answers

102 views

Find a metric $d$ on $\mathbb{N}$

asked Dec 7, 2018 at 0:59

0 votes

4 answers

116 views

Evaluate $\int_0^{2\pi}\frac{i}{e^{it}+2}dt$

asked Feb 23, 2019 at 9:35

0 votes

0 answers

357 views

Prove that the zeta function does not converge uniformly on the half plane $\Re (z)>1$.

asked Apr 13, 2019 at 18:42

0 votes

1 answer

70 views

Is there such a term as a "Borel measurable set"?

asked May 1, 2019 at 16:54

0 votes

1 answer

36 views

Can a curve of constant width have a straight side?

asked May 28, 2020 at 14:48

0 votes

1 answer

232 views

For every sequence $\{x_n\}$ in $S$ with $\lim x_n =c$, $\{f(x_n)\}$ converges. Show that $f$ is continuous at $c$.

asked Oct 5, 2018 at 2:39

-1 votes

3 answers

34 views

Binary relations concerning $\geq, >, =$

asked Oct 5, 2020 at 10:20

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18 Questions

Homomorphism from $S_4$ to $S_3$

Show that there is a unique differentiable function satisfying $f''(x)=a, f'(0)=b$, and $f(0)=c$.

Every bijective conformal transformation of $\mathbb{C} \to \mathbb{C}$ is of the form $f(z)=az+b$. [duplicate]

Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$.

Example of Integration by Parts in Higher Dimension

Help me get my head around this simple linear regression problem

Expected present value and expected future value

How to show that filter convergence implies Hausdorff

Power map and the induced homomorphism

Cauchy sequence of functions converges uniformly

Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition.

Find a metric $d$ on $\mathbb{N}$

Evaluate $\int_0^{2\pi}\frac{i}{e^{it}+2}dt$

Prove that the zeta function does not converge uniformly on the half plane $\Re (z)>1$.

Is there such a term as a "Borel measurable set"?

Can a curve of constant width have a straight side?

For every sequence $\{x_n\}$ in $S$ with $\lim x_n =c$, $\{f(x_n)\}$ converges. Show that $f$ is continuous at $c$.

Binary relations concerning $\geq, >, =$