Mathematics
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dan_fulea
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All Questions Answers
Score Newest
answer
20
A conjecture related to a circle intrinsically bound to any triangle
Jul 4, 2018
answer
16
For $A \in \mathcal{M}_3(\mathbb{C})$, does $\mathrm{tr}(A^2) = \mathrm{tr}(A^3) \in \mathbb{Q}$ imply $\mathrm{tr}(A^4) \in \mathbb{Q}$?
Sep 11, 2019
question
15
A reason for $ 64\int_0^1 \left(\frac \pi 4+\arctan t\right)^2\cdot \log t\cdot\frac 1{1-t^2}\; dt =-\pi^4$ ...
Nov 13, 2020
answer
14
Help with Seemingly Hopeless Double Integral
Mar 26, 2019
answer
11
A ring such that $(a+b)^2=a^2+b^2$ and $(a+b)^3=a^3+b^3$
Sep 17, 2018
answer
10
Evaluate $\sum\limits_{n=1}^{\infty}\frac{1}{n^3}\binom{2n}{n}^{-1}$.
May 20, 2021
answer
10
Let $a$ be a p-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.
May 22, 2018
answer
9
alternate deletion of integers between 1 and 128, which is the last one?
Aug 23, 2018
answer
8
Class Group of the Class Number $3$ with their elements given explicitly
Sep 23, 2020
answer
8
Prove a trigonometric identity: $\cos^2A+\cos^2B+\cos^2C+2\cos A\cos B\cos C=1$ when $A+B+C=\pi$
Sep 11, 2019
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18
The source of the Integral
13
Is there a set $S\subseteq [0,1]$ with $|S|=2^{\aleph_0}$ and distinct pairwise distances?
8
An ellipse through 12 points related to Golden ratio
6
On the solvability of the equation $ax^p+bx^{p-1}+cx+d=0$ by radicals
5
An open triangle problem in plane geometry

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