One day my friend Ru He asked me a question.

What is the first 10-digit prime found in consecutive digits of e?

This is an easy problem with the help of Mathematica. The following is the Mathematica code I wrote to solve this question. It actually solves the general problem …

Math Packages

1. \usepackage{amssymb}
   • popular math fonts
2. \usepackage{dsfont}
   • \mathds font
3. \usepackage{bm} % bold math symbols
   • bold math symbols
4. \usepackage{amsmath}
   • math formulas.
5. \usepackage{amsthm}
   • theorem environments
   • proof enviroment

List Packages

1. \usepackage{enumerate}
   • universal list

Graphics Packages

1. \usepackage{ifpdf}
   • allow including figures without extensions and select the right type of …

Generating functions is a very powerful way to find closed formula for sequences defined iteratively. I was so bored during the final week, so I went on internet for fun. Finally I found someone from Sydney University was asking for help on this question:

(a) If Ln=Ln-1+Ln-2 for …

I talked about an interesting problem in this post. I had onsite-inteviews from Wolfram at the end of April this year, and I decided to talk how to solve the problem using Mathematica. I did some research and realized that the problem is a well-known one which is called the …

Dating back to the time when I was a sophomore, I read a very interesting problem from "Waming", which is a magazine of math department of USTC (University of Science and Technology of China).

One day Guigu Zi (a famous ancient Chinese sophist, the teacher of Sun Bin and Pang …

One day, my officemate Tieming asked me about a problem that she met in her research. Suppose \(\boldsymbol{B}\) is a symmetric matrix of huge dimension and \(\boldsymbol{D}\) is a diagonal matrix with nonnegative diagonal elements. The inverse of \(\boldsymbol{B}\) is already known, how can we calculate the …