Sample Essay: LaTeX Math & Version History

tutorials
meta math

This essay demonstrates the LaTeX math rendering1 and version history features.

Inline Math

You can write inline math using single dollar signs: E=mc2E = mc^2 or ∇⋅E=ρε0\nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}.

Display Math

For display equations, use double dollar signs:

∫−∞∞e−x2dx=π\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

Or more complex expressions like the Lagrangian of QED2:

L=ψˉ(iγμ∂μ−m)ψ−14FμνFμν\mathcal{L} = \bar{\psi}(i\gamma^\mu \partial_\mu - m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}

Matrices and Aligned Equations

(abcd)(xy)=(ax+bycx+dy)\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} ax + by \\ cx + dy \end{pmatrix}

Aligned equations:

∇×E=−∂B∂t∇×B=μ0J+μ0ε0∂E∂t\begin{aligned} \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \\ \nabla \times \mathbf{B} &= \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t} \end{aligned}

Folder-Based Assets

Essays now live in their own folders. You can place images and other assets alongside the markdown file:

src/content/essays/
└── my-essay/
    ├── index.md      # Your essay content
    ├── figure1.png   # Referenced as ./figure1.png
    └── data.csv      # Any supporting files

Version History

The commit history appears at the bottom of each essay once it’s tracked in your GitHub repository.

Footnotes

  1. LaTeX math rendering is powered by KaTeX, a fast math typesetting library. ↩

  2. This is the Lagrangian density for Quantum Electrodynamics, combining the Dirac equation for fermions with Maxwell’s equations for the electromagnetic field. ↩