Welcome to Theory Page

This page is a navigator to all my blogs and study notes. It's capable of viewing Markdown file and Mathematical expressions in-place of the static html website.

This page can automatically generate a table-of-content on the right whenever a new markdown file is rendered. Futhermore, the table-of-content incorporated scrollspy function provides an interactive viewing experience.

This page can also take variable file in url link. By adding in url ?file={path/to/markdown}, it will open the specified file. For example, my markdown format.

Display LaTeX in HTML

Use $...$ or \(...\) delimiters for in-line math, and $$...$$ or \[...\] delimiters for displayed equations.

Demo

When $a \ne 0$, there are two solutions to $ax^2 + bx + c = 0$ and they are

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$

$$ \begin{array}{rcll} y & = & x^{2}+bx+c\\ & = & x^{2}+2\times\dfrac{b}{2}x+c\\ & = & \underbrace{x^{2}+2\times\dfrac{b}{2}x+\left(\frac{b}{2}\right)^{2}}- {\left(\dfrac{b}{2}\right)^{2}+c}\\ & & \qquad\left(x+{\dfrac{b}{2}}\right)^{2}\\ & = & \left(x+\dfrac{b}{2}\right)^{2}-\left(\dfrac{b}{2}\right)^{2}+c & \left|+\left({\dfrac{b}{2}}\right)^{2}-c\right.\\ y+\left(\dfrac{b}{2}\right)^{2}-c & = & \left(x+ \dfrac{b}{2}\right)^{2} & \left|(\text{vertex form})\right.\\ y-y_{S} & = & (x-x_{S})^{2}\\ S(x_{S};y_{S}) & ,\textrm{or}, & S\left(-\dfrac{b}{2};,\left(\dfrac{b}{2}\right)^{2}-c\right) \end{array} $$

ACKNOWLEDGMENTS

This page renders Markdown file using GitHub Markdown API. According to GitHub document, every unauthenticated clients is limited to 60 requests per hour.

The implementation of displaying math expressions is power by MathJax library.