## Getting Began

- Add
`to the`

`of your internet residing.`

- (opitional) Add any classes to elmenents described throughout the next share.
- (non-mandatory) In case you need assist for LaTeX math, add the

following script to embody MathJax: - Carried out.

## Class-primarily based totally Sides

### Writer and Summary

Hiss the following code in order so as to add an creator and abstract to your doc. It might per likelihood per likelihood per likelihood look cherish this.

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

...

### Theorems, Definitions, Lemmas and Proofs

Theorems, definitions, lemmas and proofs are supported. Factual wrap your enlighten in a div and add the

corresponding class to the issue cherish throughout the subsequent instance.

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

Beneath are some examples.

#### Proofs & Theorems

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

If $mathbb{R}$ is countable, then [0, 1] is countable as properly. Therefore there exists a diagram

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

ldots, 9},$

are the digits in decimal growth. Now acquire into consideration a proper

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 $n in mathbb{N} .$ Therefore $C$ is not onto. A

contradiction.

If $S$ is each countable and limitless, then there could probably be a bijection between $S$ and

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

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

smallest state of $S .$ This diagram is properly outlined for any $s,$ as a result of there are best finitely many pure

numbers between 1 and $s .$ It is a methods very not going for 2 different aspects of $S$ to each be the $ample$ th smallest

state of $S$. Therefore $f$ is one-to-one. Furthermore, since $S$ is limitless, $f$ is onto.

#### Lemmas

An supreme quantity plus a good quantity results in a good quantity.

#### Definitions

A definition is a a assertion of the that means of a bear in mind or bear in mind crew or a sign or

picture.^{2}

## HTML Sides

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

web page.

### Textual enlighten Formatting

This sentence is **daring**. In case you cherish semantics, you presumably can run with

**secure** or *emphasised* textual enlighten. If not, *italic* is delicate

round. Miniature textual enlighten is for sleek print. Your copy could probably even be

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

~~deleted~~, or highlighted. That you simply simply can exhaust a

hyperlink to cross to a model up to date internet web page. Keyboard enter aspects cherish `Cmd` + `Shift`

are historic to indicate textual consumer enter.

### Blockquotes

Give me six hours to decrease down a tree and I’ll exhaust the primary 4 sharpening the axe.

— Abraham Lincoln

### Definition Lists

- Definition Title One
- First definition description
- Binomial theorem
- $$(x+y)^{n}=sum_{ample=0}^{n}left(open{array}{l}n amplelive{array}moral) x^{n-ample}

y^{ample}=sum_{ample=0}^{n}left(open{array}{l}n amplelive{array}moral) x^{ample} y^{n-ample}$$

### 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 |