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XT Chen

Currently an undergraduate in PKU. Interested in algebraic geometry.

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  • Peking University, Haidian, Beijing, China
  • Member for 2 years, 8 months
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  • Last seen Jul 16 at 3:05

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16 Calculating the exponential of an upper triangular matrix Oct 29 '19
7 $f$ is monotonically increasing, $0 \le f \le 1$ and $\int_0^1 (f(x) - x) dx = 0$ then $\int_0^1|f(x)-x|dx \le \frac{1}{2}$. Apr 15 '19
6 If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$ Mar 17 '19
6 How to prove the existence and uniqueness of the solution of a second order linear ODE? Dec 24 '18
5 How to prove $\int_0^1\sin(x+\frac{1}{x}) \, dx$ is convergent? Jun 10 '19
4 Hartshorne's Exercise II.4.5(c). A third time. Nov 4 '20
4 $a_n > 0$ and $\sum_\limits{n=1}^{+\infty} \frac{1}{a_n}$ converges. Prove $\sum_\limits{n=1}^{+\infty} \frac{n}{a_1 + \cdots + a_n}$ is convergent. [duplicate] Mar 29 '19
4 $\int f^2$ and $\int f''^2$ is convergent then so is $\int f'^2$ May 2 '19
3 What is the definition of belonging in axiomatic set theory? Aug 31 '19
3 Zero in colimit of sheaves category Oct 28 '19
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