\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}

heading 1

heading 2

bold text

italic text

bold and italic text

~~strikethrough~~

blockquote

nested blockquote

unordered list:

ordered list:

task list:

code block:

fn main() {
    println!("hello, world!");
}

inline code: let x = 42

horizontal rule:

openai

image: sample image

tables:

header 1	header 2	header 3
row 1	data	more
row 2	data	more

math (inline):

E = mc^2

math (block):

\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}

another block:

a^2 + b^2 = c^2

matrix:

\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}

system of equations:

\begin{cases} x + y = 1\\ x - y = 3 \end{cases}

aligned equations:

\begin{aligned} f(x) &= x^2 + 3x + 2\\ f'(x) &= 2x + 3 \end{aligned}

limits and sums:

\lim_{x \to 0} \frac{\sin x}{x} = 1

\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

footnote:

here is a sentence with a footnote¹.

html passthrough:

this text is red