Introduction

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Mathematical Examples

Here are some mathematical expressions rendered using LaTeX:

Inline Math

The quadratic formula is x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Display Math

The Pythagorean theorem:

a2+b2=c2a^2 + b^2 = c^2

More Complex Equations

The area of a circle:

A=πr2A = \pi r^2

Integration by parts:

udv=uvvdu\int u \, dv = uv - \int v \, du

Matrices

A simple 2x2 matrix:

(abcd)\begin{pmatrix} a & b \\ c & d \end{pmatrix}

Limits and Derivatives

If f(x)=x2, then ddx(x2)=2x.\text{If } f(x) = x^{2}, \text{ then } \frac{d}{dx} (x^{2}) = 2x.

Limit as x approaches infinity:

limx1x=0\lim_{x \to \infty} \frac{1}{x} = 0

This is how code looks like

print("Hello, World!")

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This is a nested blockquote

This is a nested nested blockquote

This is how a table looks like

Name Age
John 25

inline code

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>Document</title>
</head>
<body>
  <h1>Hello, World!</h1>
</body>
</html>