Mathematics
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NVA
  • Member for 2 years, 6 months
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All Questions Answers
Score Newest
question
8
Is it true that $\frac{a_1^2}{a_2}+\frac{a_2^2}{a_3}+\cdots+\frac{a_n^2}{a_1}\geq\sqrt{n(a_1^2+a_2^2+\cdots+a_n^2)}$ for positive real $a_i$?
Jul 5, 2021
question
5
If $abc=1$ then $ \sum_{cyc} \frac{a^2\sqrt{3bc}}{\sqrt{2b^2-bc+2c^2}} \ge 3 $
Nov 25, 2021
question
4
Solutions to the equation $x! + y! = (p-1)^{p}$
Jun 26, 2021
question
4
Solve the Diophantine equation $ 12^x + y^4 = 56^z $ where $x, y, z$ are non-negative integers.
Oct 20, 2021
question
4
Maximum value of $\sqrt{1-\sqrt{a_1}} + \sqrt{1-\sqrt{a_2}} + \cdots + \sqrt{1-\sqrt{a_n}}$ for $a_i \in [0,1], a_1+a_2+ \cdots +a_n = 2$
Feb 8, 2022
question
4
Number of ways to arrange $n$ integers from $1$ to $n$ such that $k-1$ or $k-2$ is to the left of $k$
Mar 16, 2022
question
3
Change all $2^m$ bits to the same value with some restrictions.
Jul 8, 2022
answer
2
Prove $|\sqrt{x^2+1}-\sqrt{y^2+1}| < |x-y|$ when $x\neq y$
Jan 21, 2022
question
1
On the Diophantine equation $2(x^3 - x) = y^3 - y$
Nov 17, 2022
question
1
Counting the number of sequences under specific constraints
Sep 1

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