## Getting Began

- Add
`to the`

`of your internet converse.`

- (opitional) Add any classes to elmenents described throughout the next share.
- (no longer compulsory) Everytime you occur to’d fancy strengthen for LaTeX math, add the

following script to encompass MathJax: - Performed.

## Class-primarily based mostly totally System

### Creator and Summary

Use the following code so as to add an creator and summary to your doc. This could discover fancy this.

```
```##### Summary

...

### Theorems, Definitions, Lemmas and Proofs

Theorems, definitions, lemmas and proofs are supported. Precise wrap your converse materials in a div and add the

corresponding class to the half fancy throughout the subsequent instance.

```
...
...
...
...
```

Under are some examples.

#### Proofs & Theorems

The precise numbers $mathbb{R}$ are uncountable.

If $mathbb{R}$ is countable, then [0, 1] is countable as efficiently. On account of this fact there exists a draw

C from $mathbb{N}$ onto [0, 1] with $$C(n)=sum_{i=1}^{infty} c_{i}(n) 10^{-i}$$ the arrange aside $c_{i}(n) in{0,1,

ldots, 9},$

are the digits in decimal development. Now take into account a precise

quantity

$$x=sum_{i=1}^{infty} bar{c}_{i} 10^{-i} in[0,1]$$

with $bar{c}_{i} neq c_{i}(i)$. Clearly $C(n) neq x$ for all $n in mathbb{N} .$ On account of this fact $C$ is no longer onto. A

contradiction.

If $S$ is each countable and infinite, then there’s a bijection between $S$ and

$boldsymbol{N}$ itself.^{1}

For any $s in S,$ we let $f(s)$ denote the worth of $ok$ such that $s$ is the $ok$ th

smallest part of $S .$ This draw is efficiently outlined for any $s,$ as a result of there are most efficient finitely many pure

numbers between 1 and $s .$ It’s no longer potential for 2 assorted elements of $S$ to each be the $ok$ th smallest

part of $S$. On account of this fact $f$ is one-to-one. Additionally, since $S$ is infinite, $f$ is onto.

#### Lemmas

An excellent quantity plus an very excellent quantity lastly results in an very excellent quantity.

#### Definitions

A definition is a a assertion of the which potential that of a bear in mind or bear in mind neighborhood or a sign or

image.^{2}

## HTML System

For a preview of all HTML elements with LaTeX.css, check out out the HTML5 parts take a look at

page.

### Textual converse materials Formatting

This sentence is **fearless**. Everytime you occur to fancy semantics, you may also run with

**robust** or *emphasised* textual content. If no longer, *italic* is collected

spherical. Minute textual content is for obedient print. Your duplicate can moreover be

_{subscripted} and ^{superscripted}, inserted,

~~deleted~~, or highlighted. It’s potential you will maybe maybe train a

hyperlink to run to a model uncommon web page. Keyboard enter elements fancy `Cmd` + `Shift`

are oldschool to reward textual particular person enter.

### Blockquotes

Give me six hours to sever down a tree and I may train the primary 4 sharpening the axe.

— Abraham Lincoln

### Definition Lists

- Definition Title One
- First definition description
- Binomial theorem
- $$(x+y)^{n}=sum_{ok=0}^{n}left(launch{array}{l}n good enoughwaste{array}lawful) x^{n-good sufficient}

y^{ok}=sum_{ok=0}^{n}left(launch{array}{l}n good enoughwaste{array}lawful) x^{ok} y^{n-good sufficient}$$

### Tables

Header 1 | Header 2 | Header 3 |
---|---|---|

Footer 1 | Footer 2 | Footer 3 |

Description 1 | Description 2 | Description 3 |

Description 1 | Description 2 | Description 3 |

Description 1 | Description 2 | Description 3 |