Hello, LaTeX

1 Introduction

This blog is written in LaTeX, following the tradition of (Knuth 1984). Inline math like $f\colon \mathbb{R}^n \to \mathbb{R}$ and $\left\lVert x \right\rVert_2$ should render.

$\begin{equation*} \tag{1} \int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi} \end{equation*}$

Equation (1) is classic.

2 Results

Theorem 1. For all $x, y \in \mathbb{R}^n$ , $|\langle x, y\rangle| \le \left\lVert x \right\rVert\left\lVert y \right\rVert$ .

Proof. Consider $\left\lVert x - t y \right\rVert^2 \ge 0$ as a quadratic in $t$ . ◻

See Theorem 1 and Section 1.

$\begin{align*} a &= b + c \\ d &= e \end{align*}$

2.1 Code

def f(x):
    return x ** 2

References

Knuth, Donald E. 1984. The TeXbook. Addison-Wesley.