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Mathematics
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moray eel
  • Member for 3 years, 4 months
  • Last seen more than 3 years ago
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9
Set $S$ of integers $\ge0$ such that $\{1,2,\cdots,n\}$ partitions into $A, B$ with $\sum_\limits{a\in A}a^k=\sum_\limits{b\in B}b^k$ for all $k\in S$
Mar 25, 2021
5
If we place $1$ to $n^2$ in an $n\times n$ table, what is the smallest $s$ where $s$ is the max of $a+b$ where $a,b$ are numbers in adjacent cells?
Mar 3, 2021
3
Determine all $f:\Bbb Z \to \Bbb Z$ st $f(x^3+y^3+z^3)=f(x)^3+f(y)^3+f(z)^3$. (Vietnamese TST 2005)
Mar 16, 2021
3
how to prove this trig inequality: $\cos x \cos y + z \sin x \sin y \geq \cos \left( \sqrt{x^2 + y^2 - 2 x y z} \right)$
Mar 19, 2021
3
Can any polynomial in $\Bbb R [x]$ be written as the difference of two sum-of-squares polynomials in $\Bbb R [x]$?
Mar 26, 2021
2
For a given positive integer $n$, do there exist positive integers $x,y$ st $\phi(x)+\phi(y)=2n$?
Mar 18, 2021
2
Arranging numbers in an array (Swedish Math Olympiad 1986)
Mar 23, 2021
2
2-color version of Sylvester-Gallai theorem
Mar 23, 2021
2
Tiling a rectangle with tetris pieces of T-shape
Mar 24, 2021
2
Why are $AB,AC,AN,AU,AV$ mapped to $IF,IE,IT,IP,IQ$ (IMO Shortlist 2019 G6)?
Mar 30, 2021