**Note:** The following is borrowed (with some modifications) from Dana Enst's help page and Elisha Peterson's help page.

## Page Editing Basics

- To edit a page, click the edit button at the bottom of the page. This will open an editor with a toolbar palette with options. When you are done, click save. If you are working on a longer edit, hit save & continue frequently!
- On any page, you should be able to click the
*+ options*button at the bottom of the page and*view source*to see examples of how certain things are done - You'll likely find the Wiki Syntax Page helpful the first few times you edit a page.
- You can also find more information on the Documentation pages.

## Creating Mathematical Notation

Wikidot uses the markup language called $\LaTeX$, which you have likely had some experience with in Math 185, to generate properly typeset mathematics. $\LaTeX$ requires memorizing (or looking up) "commands" for creating certain kinds of characters. Since you'll creating Wiki entries with serious mathematical content, $\LaTeX$ will be a very helpful tool for you (and it's expected that you use $\LaTeX$ where it's needed to create standard mathematical notation.)

### The Basics

When you're in the editing panel, you can insert mathematical expressions within your text (i.e., "inline") by using the code

`[[$ your-mathematical-expression-here $]]`

For instance, this sentence — which includes the equation $x^{2}+y^{2} = r^{2}$ — is typeset as

`For instance, this sentence -- which includes the equation [[$ x^{2}+y^{2} = r^{2} $]] -- is typeset as`

You can also have your mathematical expressions separated from the text and placed on their own line for emphasis. For instance, if you wanted to type:

Here's some fancy mathematics to impress my friends:

(1)then you'd use the code

```
Here's some fancy mathematics to impress my friends:
[[math]]
\log \zeta(s) = s\int_{2}^{\infty} \frac{\pi(x)}{x(x^{s}-1)}~dx = \log \prod_{p} (1-p^{-s})^{-1}.
[[/math]]
```

### General Comments

Here are some other general rules to keep in mind as you write:

- All wiki commands are of the form
`[[stuff goes here]]`. - All inline mathematical notation must be framed by dollar signs. That is, in the wiki, all inline mathematical notation is of the form
`[[$math-stuff$]]`. - All displayed mathematical notation (i.e., on its own line and centered) is of the form
`[[math]] math-stuff [[/math]]`. - All special symbols in $\LaTeX$ are of the form
`\some-command`.

### Examples

Here are a few more examples that illustrate some of the mathematical notation we may want to use:

expression you want | code you type |
---|---|

$n \in \mathbb{N} \subseteq \mathbb{Z}$ | [[$n \in \mathbb{N} \subseteq \mathbb{Z} $]] |

$\sum_{i=1}^n i^2=1^2+2^2+ \cdots +(n-1)^2+n^2$ | [[$\sum_{i=1}^n i^2=1^2+2^2+ \cdots (n-1)^2+n^2 $]] |

$\sqrt{2} \notin \mathbb{Q}$ | [[$ \sqrt{2} \notin \mathbb{Q}$]] |

$2\in \{2,3,4\} \cap \{1,2,3\}$ | [[$2\in \{2,3,4\} \cap \{1,2,3\}$]] |

$f:A\to B$ | [[$f:A\to B$]] |

$f(x_1)\neq f(x_2)$ | [[$f(x_1)\neq f(x_2)$]] |

$\{a_n\}_{n=1}^{\infty}$ | [[$\{a_n\}_{n=1}^{\infty}$]] |

$(f\circ g)(x)=f(g(x))$ | [[$(f\circ g)(x)=f(g(x))$]] |

$\frac{a}{b}+\frac{c}{d}\neq \frac{a+b}{c+d}$ | [[$\frac{a}{b}+\frac{c}{d}\neq \frac{a+b}{c+d}$]] |

Greek letters are typeset using `\name`: for example, `\theta` produces $\theta$. In order to produce a left or right brace, the brace needs to be preceded by a backslash. For example, $\mathbb{N}=\{1,2,3,\ldots\}$ is typeset with `[[$\mathbb{N}=\{1,2,3,\ldots\}$]]` and notice the use of `\{` and `\}`.

Using $\LaTeX$ allows you to do fancy things like the following:

(2)which is typeset using

```
[[math]]
\begin{align*}
\sum_{i=1}^{k+1}i & = \left(\sum_{i=1}^{k}i\right) +(k+1)\\
& = \frac{k(k+1)}{2}+k+1 & (\text{by inductive hypothesis})\\
& = \frac{k(k+1)+2(k+1)}{2}\\
& = \frac{(k+1)(k+2)}{2}\\
& = \frac{(k+1)((k+1)+1)}{2}.
\end{align*}
[[/math]]
```

## more information

Here is a list of useful symbols taken from http://www.math.harvard.edu/texman/node21.html.

The online tool Detexify will try to match $\LaTeX$ code to the symbol you hand-draw. If you would like to create .pdf documents using $\LaTeX$, WriteLatex is a free, online $\LaTeX$ compiler. There are also many other $\LaTeX$ resources available on the web, and you are always welcome to talk with me if you need some $\LaTeX$ advice.