markdown stuff
Introduction
This is bold text, and this is emphasized text.
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Mathematical Examples
Here are some mathematical expressions rendered using LaTeX:
Inline Math
The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.
Display Math
The Pythagorean theorem:
$$ a^2 + b^2 = c^2 $$More Complex Equations
The area of a circle:
$$ A = \pi r^2 $$Integration by parts:
$$ \int u \, dv = uv - \int v \, du $$Matrices
A simple 2x2 matrix:
$$ \begin{pmatrix} a & b \\ c & d \end{pmatrix} $$Limits and Derivatives
$$ \text{If } f(x) = x^{2}, \text{ then } \frac{d}{dx} (x^{2}) = 2x. $$Limit as x approaches infinity:
$$ \lim_{x \to \infty} \frac{1}{x} = 0 $$This is how code looks like
1print("Hello, World!")This is a blockquote
This is a nested blockquote
This is a nested nested blockquote
This is how a table looks like
| Name | Age |
|---|---|
| John | 25 |
inline code
1<!DOCTYPE html>
2<html lang="en">
3<head>
4 <meta charset="UTF-8">
5 <meta name="viewport" content="width=device-width, initial-scale=1.0">
6 <title>Document</title>
7</head>
8<body>
9 <h1>Hello, World!</h1>
10</body>
11</html>