Mathematics
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HeroZhang001's user avatar
HeroZhang001's user avatar
HeroZhang001
  • Member for 10 months
  • Last seen this week
  • Henan, China
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About

Geometry enthusiast~

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

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View all questions and answers
All Questions Answers
Score Newest
answer
8
Why $1− \frac12 + \frac13 − \frac14 + \frac15 - \cdots$ is not zero but $\ln2$
Jun 1
answer
8
Use of $\sum_{r=1}^{\infty} \frac{1}{r^2} = \frac{\pi^2}{6} $ in evaluating $I$
May 14
question
7
Assume $\int_0^\infty f(x)dx$ converges. Prove there exists $\xi\in[1,\infty)$ such that $\int_1^\infty \frac{f(x)}x dx=\int_1^\xi f(x)dx$.
Sep 3
answer
6
Product vs. join of subgroups of a finite group
Apr 27
question
4
Is $\{(\mathbb R,\phi)\}$ a smooth atlas for $\mathbb R$, where $\phi(x)=\left\{ \begin{array}{ll} x & x<0, \\ 2x& x\geq0~? \end{array} \right.$
Mar 1
question
4
Solution Verification: Compute $\int_{0}^{+\infty} \frac{\mathrm{e}^{-a x}-\mathrm{e}^{-b x}}{x} \sin x \mathrm{~d} x$, where $b>a>0$
Mar 5
answer
4
Is there a sequence $a_n$ decreasing to $1$ such that $\sum n^{-a_n}$ converges?
Apr 28
answer
4
Please tell me why my method of solving $\sin\left(\frac{\pi}{3}-2\,x\right)-\sin\left(6\,x\right)=2$ is not correct.
Jan 29
question
3
Computing the De Rham Cohomology Group of Connected Sum $H_{\rm dR}^p(M_1 \# M_2)$
Dec 4, 2022
answer
3
Find the solution of the differential equation $xdx+ydy+\frac{xdy-ydx}{x^2+y^2}=0.$
May 1

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