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HeroZhang001
  • Member for 1 year, 8 months
  • Last seen more than 1 year ago
  • Henan, China
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Geometry enthusiast~

A master student is currently studying for a Master of Science degree at Beijing Normal University.

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9
Use of $\sum_{r=1}^{\infty} \frac{1}{r^2} = \frac{\pi^2}{6} $ in evaluating $I$
8
Assume $\int_0^\infty f(x)dx$ converges. Prove there exists $\xi\in[1,\infty)$ such that $\int_1^\infty \frac{f(x)}x dx=\int_1^\xi f(x)dx$.
7
How to prove a series of differential forms is well-defined?
6
Is $\{(\mathbb R,\phi)\}$ a smooth atlas for $\mathbb R$, where $\phi(x)=\left\{ \begin{array}{ll} x & x<0, \\ 2x& x\geq0~? \end{array} \right.$
6
Product vs. join of subgroups of a finite group