some useful description Zola 2026-07-10T00:00:00+00:00 https://incertia.net/posts/atom.xml 2026-07-10T00:00:00+00:00 2026-07-10T00:00:00+00:00 Unknown https://incertia.net/posts/000-initial/ <h1 id="welcome">Welcome<a class="zola-anchor" href="#welcome" aria-label="Anchor link for: welcome" style="visibility: hidden;"></a> </h1> <p>I guess this is the official welcome to the new blog. The font is <a rel="nofollow noreferrer external" href="https://tug.org/FontCatalogue/urwclassico/">URW Classico</a>, which is a free alternative to <a rel="nofollow noreferrer external" href="https://tug.org/FontCatalogue/texgyrepagella/">TeX Gyre Pagella</a> 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.</p> <h1 id="math">Math<a class="zola-anchor" href="#math" aria-label="Anchor link for: math" style="visibility: hidden;"></a> </h1> <p>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:</p> <p>\[ \left(\sum_{i = 1}^n a_i\right)^p \left(\sum_{i = 1}^n b_i\right)^q \geq \left(\sum_{i = 1}^n \sqrt[p + q]{a_i^p b_i^q}\right)^{p + q}. \]</p> <p>Since the source file is in markdown, I must be careful as the writer to write <code>\\[</code> and <code>\\]</code> so that the backslash is properly escaped into the rendered HTML, but that is not a huge deal.</p> <p>We can also prerender SVG files to display them.</p> <p><img src="/posts/000/iso.svg" alt="first isomorphism theorem" /></p> <p>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.</p> <p>We set up the math to use <a rel="nofollow noreferrer external" href="https://tug.org/FontCatalogue/texgyrepagella/">TeX Gyre Pagella</a> fonts though, so that they have slightly more visual impact.</p> <h1 id="about">About<a class="zola-anchor" href="#about" aria-label="Anchor link for: about" style="visibility: hidden;"></a> </h1> <p>This new site should also contain an <a href="/about">about me</a> page, which should consist of a short bio and some other reference links.</p>