User HeroZhang001 - Salesforce Stack Exchange

HeroZhang001

Member for 9 months
Last seen more than a month 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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Dec 19

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9

Use of $\sum_{r=1}^{\infty} \frac{1}{r^2} = \frac{\pi^2}{6} $ in evaluating $I$

7

Assume $\int_0^\infty f(x)dx$ converges. Prove there exists $\xi\in[1,\infty)$ such that $\int_1^\infty \frac{f(x)}x dx=\int_1^\xi f(x)dx$.

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

5

Computing the De Rham Cohomology Group of Connected Sum $H_{\rm dR}^p(M_1 \# M_2)$