## Thursday, April 12, 2007

### Latex For Blogger

This is a neat plugin. And just to test it, here's the Johnson-Lindenstrauss Lemma:

For any $0 < \epsilon < 1$ and any integer n, let $k$ be a positive integer such that
$k \ge 4(\epsilon^2/2 - \epsilon^3/3)^{-1}\ln n$
Then for any set of points $V$ of n points in $R^d$, there exists a map $f : R^d \rightarrow R^k$ such that for all $u,v \in V$,
$(1-\epsilon)\|u - v\|^2 \le \|f(u) - f(v)\|^2 \le (1+\epsilon)\|u - v\|^2$

Not bad at all !

#### 2 comments:

1. Cool.

The script is pretty neat. It seems to use an external site to convert the latex code to gif image and then embeds it into the blog. See for example,
http://www.forkosh.dreamhost.com/mimetex.cgi?\frac{a}{b}

So until Google itself comes up with a cool solution (like wordpress), this is going to be very useful.

2. I dunno ... I think I'm still quite jealous of what they've got going on at wordpress.