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choco_addicted
  • Member for 8 years, 3 months
  • Last seen more than 3 years ago
13 votes
3 answers
307 views

How to express $f(n\alpha)$ in terms of $f(\alpha)$

8 votes
2 answers
572 views

Minimal polynomial of $\sqrt{2+\sqrt[3]{3}}$ over $\mathbb{Q}$

7 votes
1 answer
623 views

Find $\int_{|z|=5} \frac{zf'(z)}{f(z)}dz$ when $24\le |f'''(z)|\le 30$, $f(0)=f(1)=f(2)=3$

5 votes
3 answers
121 views

Determine if $f_n(x)=\frac{1-x}{1+x^n}$ converges uniformly on $[0,2]$

3 votes
2 answers
341 views

The number of incongruent solutions of $x^4-14x^2+36\equiv 0\pmod{2019}$

3 votes
1 answer
147 views

Show that $\sum_{k=1}^{\infty}\frac{F_{2^{k-1}}}{L_{2^k}-2}=\frac{15-\sqrt{5}}{10}$

2 votes
1 answer
694 views

How many ways are there to distribute $12$ red jelly beans to four children, a pair of identical female twins and a pair identical male twins?

2 votes
1 answer
134 views

The (most probable) color of the card in the box

1 vote
2 answers
804 views

Let $B$ be a subset of a space $X$. Prove that the following statements are equivalent

1 vote
2 answers
67 views

Can we find a discontinuous function such that $\int_1^x f(t)dt=e^{2x}-e^x$?

0 votes
2 answers
177 views

Show that a $T_1$-space $X$ is totally disconnected when $f:A\to \{a,b\}$ has a continuous extension

0 votes
1 answer
1k views

The condition that given polynomial is divisible by 3

0 votes
1 answer
31 views

Show that the set of some rotations $S_v$ is a coset of $H_v=\{T\in G:Tv=v\}$