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Mathematics
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FFjet
  • Member for 5 years, 10 months
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I am now studying mathematics.

Interested in a lot of things, such as maths, physics and music.

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55
Prove/disprove $(\int_0^{2 \pi} \!\!\cos f(x) \, d x)^2+(\int_0^{2 \pi}\!\!\! \sqrt{(f'(x))^2+\sin ^2 f(x)} \, dx)^2\ge 4\pi^2$
Jan 12, 2021
23
Existence of $A$ such that $ \lim_{x\to\infty}\operatorname{poly}(x) e^{-x} \sum_{n\in A} \frac{x^n}{n!}=1 $
Jun 21, 2020
18
Prove the determinant is $0$
Dec 3, 2020
10
Asymptotic behavior of number of triples $i,j,k\le n$ with pairwise bounded least common multiples each $\le n$.
Sep 8, 2019
9
Expectation of $\min(a \bmod p,2a\bmod p,....,ka \bmod p)$
Aug 29, 2019
8
How to solve the recurrence relation $a_{1}=2, a_{n}=\frac{a_{n-1}+2}{2 a_{n-1}+1}(n \geq 2)$ with generating functions?
Jun 3, 2019
7
Prove the determinant is $0$
Dec 4, 2020
7
$ \int_{-\infty}^{+\infty}\sin(x^2)\cos2\alpha x \, \mathrm{d}x $
Dec 24, 2020
7
Section 4.2 in Loring Tu's Differential Geometry
Mar 14, 2021
7
How do I find the tangent to a parameterized curve at a point $t$?
Dec 19, 2020
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11
Prove/disprove $(\int_{0}^{2 \pi} \!\!\cos f(x) d x)^{2}+(\int_{0}^{2 \pi}\!\!\! \sqrt{(f'(x))^{2}+\sin ^{2} f(x)}dx)^{2}\ge 4\pi^{2}$
11
How to calculate $\prod\limits_{p}\frac{p^2+1}{p^2-1}$?
7
Ramanujan's Master Formula: A proof and relation to umbral calculus
6
How to maintain completely dynamic convex hull quickly?
5
Algebra/Algebraic geometry in statistical mechanics