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Marin's user avatar
Marin
  • Member for 3 years, 1 month
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  • SU FMI
3 votes
1 answer
49 views

Check if a subset of matrices is a linear space

2 votes
3 answers
269 views

Proving an inequality of a function given its derivative's values

2 votes
1 answer
80 views

In how many ways may $k$ distinct books be arranged on $n$ shelves so that no shelf gets more than $m$ books?

2 votes
0 answers
37 views

Evaluate $\lim_{n\rightarrow\infty} \sum_{k=1}^n \frac{1}{k}\tan(\frac{k\pi}{4n + 4})$

2 votes
2 answers
125 views

Prove $(\frac{2n-1}{e})^\frac{2n-1}{2} < 1\cdot 3 \cdot \dots\cdot(2n-1) < (\frac{2n+1}{e})^\frac{2n+1}{2}$ for all positive $n$.

1 vote
2 answers
51 views

For $(a,b)=1$ and $n\in\mathbb{N}$ s.t. $a^{2^n} + b^{2^n} \equiv 0 \mod p$ prove that $2^{n+1} \mathrel{|} p - 1$

1 vote
1 answer
87 views

Represent a vector using given vectors

0 votes
1 answer
79 views

Simplifying a complex fraction

0 votes
1 answer
35 views

Extrema of $f(x) = \frac{xe^x}{1 + 2|3x-1|}$

0 votes
0 answers
374 views

Meaning of $dx^3$ in an integral?

0 votes
2 answers
83 views

$\sup C = \inf A \inf B$ for $A,B$ bounded sets of negative reals and $C$ products of $A$ and $B$

0 votes
1 answer
140 views

For $\alpha$ irrational, prove that $\{m\alpha + n \mid m,n \in \mathbb{Z}\}$ is dense in $\mathbb{R}$

0 votes
1 answer
58 views

$\lim_{n\rightarrow\infty} \sum_{k=1}^n \text{arccot}(2k^2)$

0 votes
2 answers
56 views

Limit that uses a convergent sequence as a variable

0 votes
1 answer
47 views

Prove $\int_2^\infty \frac{sin^2(x)}{x^\alpha(x^\alpha + \sin(x))}dx$ is divergent for $0 < \alpha \leq 1/2$

0 votes
1 answer
53 views

Building a tree from depth-first traversal of graph