# Golbez

less info
reputation
423
bio website cnblogs.com/misaka01034 location Shanghai,China age 20 member for 2 years, 8 months seen 22 hours ago profile views 229

I'm a senior undergraduate student in Shanghai Jiao Tong University Zhiyuan College majoring in mathematics. The website given on the left is my notes and some personal view of mathematics( in Chinese ). I'm trying to learn as more as I can at the undergraduate process.

As Confucius said:

"If I am walking with two other men, some of them will serve as my teacher. I will pick out the good points of the one and imitate them, and the bad points of the other and correct them in myself."("三人行，必有我师焉。择其善者而从之，其不善者而改之")

This website contains n people, and from each 2 of them there is at least one man that will serve as my teacher, thus there at least n-1 teachers. This is a good place since are so many teachers here that may teach me mathematics!

# 72 Questions

 13 Evaluate the integral $\int_{0}^{\infty} \frac{1}{(1+x^2)\cosh{(ax)}}dx$ 13 Inequality involving partial sums of $\frac{|\sin{kx}|}{k}$ 9 Expected value of the distance square 9 On a joke of Yoneda embedding 9 Calculating the eigenvalues of a matrix

# 1,912 Reputation

 +15 Using bordered Hessian matrix to determine non-degeneracy and type of constrained extremum +5 Existence and uniqueness of an integral equation +5 Understanding attaching space +15 How to get this inequality

 5 How to show that $\frac{\sin(n)}{n}$ is $1$ as $n \rightarrow 0$? 5 Compute $\lim\limits_{n\to\infty} \prod\limits_2^n \left(1-\frac1{k^3}\right)$ 4 A identity relating a infinite series and a definite integral 4 Hard Definite integral involving the Zeta function 4 If the product $fg$ is Riemann integrable then are $f$ and $g$ individually integrable?

# 79 Tags

 28 calculus × 13 6 limits × 5 14 integration × 10 5 products 12 real-analysis × 21 4 riemann-zeta 12 definite-integrals × 4 3 derivatives × 2 11 sequences-and-series × 8 2 differential-geometry × 7

# 9 Accounts

 Mathematics 1,912 rep 423 Mathematica 168 rep 5 Area 51 151 rep Physics 135 rep 5 MathOverflow 130 rep 4