This is the text of the side note. With an equation $E=mc^2$ This is the text of the side note. With an equation $E=mc^2$ This is the text of the side note. With an equation $E=mc^2$

This is the text of the side note. With an equation $E=mc^2$

Let us try another fucking side note. I want to see if this goes away

This is a theorem inside of a side note. This is some equation inside a theorem inside a side note

$$ A = \int \mathcal{L}(\phi,\dot{\phi})\ dt \notag$$

(Q-1.3)

This is an inline note numbered by the entire document

Q-1. P-2.1

This is a link to an equation Q-1.4

1. this is a section

1.1. this is another section

$$ \pi = \sum_k \frac{\pi_k^{\theta_k}}{\rho_k} \notag$$

(Q-1.1)

This is a proof for the lemma $$ A = \int\sum_k a_k(x)v_k(x,y)dx $$

These are equations on a grid:

$$ \begin{split} E = mc^2\\\EE = mc^2 \end{split},\\\notag$$

$$\\F = ma,\\\notag$$

(Q-1.2a,Q-1.2b)

$$\\a^2 + b^2 = c^2,\\\notag$$

$$a^2 + b^2 = c^2 \notag$$

(Q-1.3a,Q-1.3b)

This is some text with¹ This is some textThis is some textThis is some textThis is some textThis is some textThis is some textThis is some textThis is some textThis is some text This is some text with²

This is some repeated note:

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged. It was popularised in the 1960s with the release of Letraset sheets containing Lorem Ipsum passages, and more recently with desktop publishing software like Aldus PageMaker including versions of Lorem Ipsum.

some text³

test some other text⁴

This is a lemma for einstein $$ E=mc^2 $$ some other equation with a new tag

$$ \pi = \sum_k \pi_k^{\theta_k} \notag$$

(Q-1.4)

See Proof of lemma Q-1.1.1

This is a link with a popup attached: Q-1.1.1

1.2.

1.2.1.

$$ E = mc^2 \\\notag$$

(Q-1.5a)

$$\\ F = ma \\\notag$$

(Q-1.5b)

$$ a^2 + b^2 = c^2 \notag$$

(Q-1.5c)

This is some text inside of the theorem...

$$ x = y + z \notag$$

(Q-1.5)

$$ \pi{} = \sum_i{} i^i \notag$$

(Q-1.6)

Q-1.5c

$$ U = \Sigma{} L\Theta{}^3 \notag$$

(Q-1.7)

This is a repeated theorem from another page

This → P-2.4. is a link to a section on other page