Initial Post

Welcome

I guess this is the official welcome to the new blog. The font is URW Classico, which is a free alternative to TeX Gyre Pagella in a sans serif style. Research has shown that sans-serif styles are easier to read than than serif styles, although I still heavily prefer using serif for math printouts. Hopefully I am able to adjust to sans-serif without too much difficulty.

Math

Speaking of math, hopefully your browser is able to display mathematics. I will be using two types. Inline mathematics, much like the name, is displayed inline, such as: Let $\mathbb{N} = \mathbb{Z}_{0}^+$ denote the set of natural numbers. Display math, on the other hand, should be centered. For example, here is Hölder's inequality:

\[ \left(\sum_{i = 1}^n a_i\right)^p \left(\sum_{i = 1}^n b_i\right)^q \geq \left(\sum_{i = 1}^n \sqrt[p + q]{a_i^p b_i^q}\right)^{p + q}. \]

Since the source file is in markdown, I must be careful as the writer to write \\[ and \\] so that the backslash is properly escaped into the rendered HTML, but that is not a huge deal.

We can also prerender SVG files to display them.

The downside is that the foreground color on these SVGs is fixed and cannot respect the light/dark of the reader, so people are stuck with the dark theme here on this site.

We set up the math to use TeX Gyre Pagella fonts though, so that they have slightly more visual impact.

About

This new site should also contain an about me page, which should consist of a short bio and some other reference links.