Mathematics
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abacaba
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All Questions Answers
Score Newest
answer
23
Do we have $\sum_{n=1}^{\infty}\frac{\gcd\left(1+n!,1+n^{2}\right)}{n!}\stackrel{?}{=}e$?
Nov 26, 2022
answer
13
Intuition is silent: Find the probability that the smallest circle enclosing $n$ random points on a disk lies completely on the disk, as $n\to\infty$.
Nov 8
answer
12
Prove that $A^3\equiv I\mod p$.
Dec 5, 2022
answer
10
What is the largest disk that will be completely covered by randomly placed disks of areas $1,\frac12,\frac13,\dots$ with probability $1$?
Nov 20
answer
10
Does there exist a function that generates itself?
Sep 21
answer
8
Prove that $\{ f \in \mathbb{R}^{[0,1]} : \sup_{t \in [0,1]} f(t) < 1 \}$ is not measurable?
Nov 26
answer
8
Inequality on the moment generating function of a centered random variable which is bounded above
Mar 15
answer
8
Can $\sum_{n=1}^{k} \frac1{\sqrt{n}}$ be an integer for $k>1$?
May 12, 2022
answer
7
Show that $\max _{x \in[-1,1]}|P(x)| \geq \frac{1}{2^{n-1}}$ without Chebyshev polynomials
Aug 17
answer
6
Eigenvalue of diagonally dominant matrices
Aug 2
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10
Number of triangle-free graphs with prescribed number of edges
6
Series convergence if $\sum a_n^2 < \infty$
5
"JigSaw Puzzle" on Set Family II

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