user avatar
user avatar
user avatar
Fabio Lucchini
  • Member for 9 years, 5 months
  • Last seen this week
33 votes
Accepted

Distance to a closed set is continuous.

27 votes
Accepted

Is $202^{303}$ greater or $303^{202}$?

14 votes

Prove or disprove that $ \sum\limits_{k = 1 }^T f(k)=0 $ where $f(m)=\sum\limits_{n = 1 }^ m (-1)^n \sin(\frac{n(n+1)(2n+1)}{6}x) $

13 votes
Accepted

Finding the value of $\prod_{n=0}^\infty a_n$ with $a_0=1/2$ and $a_{n}=1+(a_{n-1}-1)^2$

11 votes
Accepted

Metric is continuous, on the right track?

9 votes
Accepted

Rolle theorem on infinite interval

9 votes
Accepted

Proposition 3.7 in Atiyah-Macdonald (Tensor product of fractions is fraction of tensor product)

8 votes

How to solve this challenging limit?

8 votes
Accepted

Why is a function that maps a closed interval to a open one not onto?

8 votes

How to intersect a line with a point off the page using a straight edge and compass (see description)

8 votes
Accepted

Separable extension and tensor product

7 votes
Accepted

Compute $\lim\limits_{n\to\infty}n^2\left(\left(1+\frac1{n+1}\right)^{n+1}-\left(1+\frac1n\right)^n\right)$

7 votes

Why is epimorphism not defined as follows?

7 votes
Accepted

Find a limit in an efficent way

6 votes
Accepted

Algebra operations as natural transformations

6 votes
Accepted

Cube root of two $\sqrt[3]2$ continued fraction

6 votes

The Powerset Monad

6 votes
Accepted

Pushout from initial object isomorphic to coproduct

6 votes
Accepted

M and n are positive integers such that $2^n - 3^m > 0$. Prove (or disprove) that $2^n - 3^m \geqslant 2^{n-m}-1$.

6 votes

Proof Verification: $1 \leq x^2 + y^2 \leq 2$ is connected?

5 votes

Find polynomial $p(n)$ such that $\displaystyle \sum_{n=1}^{\infty} \big(\sqrt[4]{n^4+2n^2}-\sqrt[3]{p(n)}\big)$ converges

5 votes
Accepted

$p^i\mathbb {Z}_p$ is an open subgroup of $\mathbb {Z}_p$ of index $p^i$, where $\mathbb {Z}_p$ is the group of p-adic integers

5 votes

Can we solve this recurrence relation?

5 votes
Accepted

Find $\lim_{t\rightarrow 0}\frac{1}{t}\int_{0}^{1}(f(x+t)-f(x))xdx$

5 votes
Accepted

Prove that $I\oplus J $ and $(I \cap J)\oplus R$ are isomorphic as $R$-modules.

5 votes
Accepted

$A$ has $\Bbb Z_m$-module structure

5 votes

Isomorphism between quotient ring and its localization

5 votes
Accepted

How do i find P(2)?

5 votes

Parabola in parametric form

5 votes
Accepted

Equivalence of the definitions of "image" in category theory

1
2 3 4 5
18