1. Is there any way to support MathJax here? It can translate directly the latex code to display math. It is supported on blogspot, I find it more convenient.
2. I believe many of us come across some very good articles from time to time and would like to share with people. It is good to write blog post ourselves, which gives a personal touch and perspectives on a topic, but sometimes an article is already quite good for sharing directly.
I would like to share articles and papers in some blog posts, because sometimes my “rewriting” means nothing better than copying… I raise this issue since it deviates from the usual style of this collective blog, so what do you think? I am thinking of focusing on good (readable or concise?) articles accessible to undergraduate students or beginning graduate students.
Here is an example.
a. The Sharkovsky Theorem: A Natural Direct Proof
“The genius of Alexander Sharkovsky lay in realizing that there is a structure to the set of periods.”
Sharkovsky’s theorem states that if a continuous function on real line has a periodic point of least period and precedes in a certain ordering, then has also a periodic point of least period .
It includes the famous special case: If a continuous real function has a periodic point with period , then there is a periodic point of period for every integer . This could be understood in less than 3 pages(p. 231-233)~
The Notices of the AMS contains expository articles and something “soft” about mathematics, comparing to technical publications. The length of this “What Is…” series article is usually kept within two or three pages. The topics can be difficult, but provide us an exposure to different facets of the mathematical world~