Wiki Syntax

This page references Wikidot's syntax documentation.

Headings

Table of contents can be added using [[toc]]

Headers:

Heading Level 1

+ Heading Level 1

Heading Level 2

++ Heading Level 2

Heading Level 3

+++ Heading Level 3

Heading Level 4

++++ Heading Level 4

Heading Level 5

+++++ Heading Level 5

Formatting

Basic formatting:

Syntax	Example
**Bold**	Bold
//Italics//	Italics
__Underline__	Underline
--Strikethrough--	Strikethrough
{{Teletype (Monospaced)}}	Teletype (Monospaced)
Text^^Superscript^^	TextSuperscript
Text,,Subscript,,	TextSubscript
[[span style="color:red"]]//span// Inline Element[[/span]]	span Inline Element
##blue|Predefined## or ##0000FF|Hex Color Code##	Predefined or Hex Color Code
@ @ Escape Parsing {{Example}} @ @	Escape Parsing {{Example}}

*Note that to escape parsing, there should be no spaces between the two @'s and the text. It is written as above due to @@ failing to escape parsing for itself.

Changing text size and alignment is also possible:

Syntax	Example
[[size smaller]]Smaller Text[[/size]]	Smaller Text
[[size larger]]Larger Text[[/size]]	Larger Text
[[size 80%]]80% Of Current Size[[/size]]	80% Of Current Size
[[size 100%]]100% Of Current Size[[/size]]	100% Of Current Size
[[size 150%]]150% Of Current Size[[/size]]	150% Of Current Size
[[size 0.8em]]80% Of Current Size[[/size]]	80% Of Current Size
[[size 1em]]100% Of Current Size[[/size]]	100% Of Current Size
[[size 1.5em]]150% Of Current Size[[/size]]	150% Of Current Size

Setting the size directly:

Syntax	Example
[[size xx-small]]Extra-Extra-Small Text[[/size]]	Extra-Extra-Small Text
[[size x-small]]Extra-Small Text[[/size]]	Extra-Small Text
[[size small]]Small Text[[/size]]	Small Text
[[size large]]Large Text[[/size]]	Large Text
[[size x-large]]Extra-Large Text[[/size]]	Extra-Large Text
[[size xx-large]]Extra-Extra Large Text[[/size]]	Extra-Extra Large Text
[[size 7px]]Text Size 7 Pixels[[/size]]	Text Size 7 Pixels
[[size 18.75px]]Text Size 18.75 Pixels[[/size]]	Text Size 18.75 Pixels

Aligning text left or right:

Syntax:
[[<]]
Align text left.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.
[[/<]]
[[>]]
Align text right.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.
[[/>]]
[[=]]
Align text center.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.
[[/=]]
[[==]]
Align text justified.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.
[[/==]]

Example:

Align text left.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.

Align text right.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.

Align text center.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.

Align text justified.
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean a libero. Vestibulum adipiscing, felis ac faucibus imperdiet, erat lacus accumsan neque, vitae nonummy lorem pede ac elit.
Maecenas in urna. Curabitur hendrerit risus vitae ligula.

Aligning a single line:

= Line in center

Line in center

Links

URLs will automatically become links:

https://example.com/ - https://example.com/

To link specific words or phrases, use the following:

[https://en.wikipedia.org/wiki/Apple_Pie apple pie] - apple pie

Pages within the wiki can be linked to directly with just the title, if the url and title are the same (i.e. the page title that Wikidot generates based on the url you use, non-case sensitive):

[[[Cotangent Bundle]]] is a vector bundle. - Cotangent Bundle is a vector bundle

If they differ, you specify the url and then give your own title:

...simplicial homology is also used in [[[Topological Data Analysis|data analysis]]]. - …simplicial homology is also used in data analysis.

Adding an asterisk (*) in front of the url opens the link in a new window:

*https://example.com/ - https://example.com/
[*https://example.com/ Example Page] - Example Page

Equations

Equations can be rendered in LaTeX using [[$<latex>$]] and [[$$<latex>$$]] escapes.

Inline latex:

Let [[$a,b \in G$]] - Let $a,b \in G$

While,

One observes that for all [[$\alpha, \beta$]], we have: [[$$X_\alpha \cap X_\beta \iff X_\beta \subseteq X_\alpha$$]]

Produces:

One observes that for all $\alpha, \beta$, we have: $$X_\alpha \cap X_\beta \iff X_\beta \subseteq X_\alpha$$

You can simply put the equation between [[math label]] … [[/math]] block tags (the label is optional). The equation is rendered within LaTex \begin{equation} … \end{equation} environment. Please refer to any LaTeX reference manual for details about syntax.

[[math label1]]
\rho _{\rm GJ} = -\sigma (r) \left[ (1 - \eta _{\ast }^2 {\kappa \over {\eta ^3}}) \cos \chi \right.
+ \left. {3\over 2} \theta (\eta) H(\eta)
\xi \sin \chi \cos \phi \right]
[[/math]]

Produces:

(1)

\begin{align} \rho _{\rm GJ} = -\sigma (r) \left[ (1 - \eta _{\ast }^2 {\kappa \over {\eta ^3}}) \cos \chi \right. + \left. {3\over 2} \theta (\eta) H(\eta) \xi \sin \chi \cos \phi \right] \end{align}

Citations

The bibliography block is defined by [[bibliography]]...[[/bibliography]]. Each bibliography item has the form:
label : full reference
To cite a bibliography entry use ((bibcite label)).

The first pulsar was observed by J. Bell and A. Hewish [((bibcite bell))]. Another reference [see ((bibcite guy))].

[[bibliography]]
: bell : Bell, J.; Hewish, A.; Pilkington, J. D. H.; Scott, P. F.; and Collins, R. A. //Observation of a Rapidly Pulsating Radio Source.// Nature 217, 709, 1968.
: guy : Guy, R. K. //Modular Difference Sets and Error Correcting Codes.// §C10 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. > 118-121, 1994.
[[/bibliography]]

Produces:

The first pulsar was observed by J. Bell and A. Hewish [1]. Another reference [see 2].

Bibliography

1. Bell, J.; Hewish, A.; Pilkington, J. D. H.; Scott, P. F.; and Collins, R. A. Observation of a Rapidly Pulsating Radio Source. Nature 217, 709, 1968.

2. Guy, R. K. Modular Difference Sets and Error Correcting Codes. §C10 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. > 118-121, 1994.

Collapsibles

Collapsibles are for hiding long blocks of text to prevent the page from getting too long. The hidden text appears once you click on the collapsible link:

[[collapsible show="+ Open" hide="- Close"]]
Collapsed text here
[[/collapsible]]

+ Open

Collapsed text here

The collapsible show/hide text is "+ show block" and "- hide block" by default, if no show/hide is specified.

For long text blocks, use "hideLocation="both"" to show the hide link at the bottom of the block as well:

[[collapsible hideLocation="both" show="+ Open" hide="- Close"]]
Longer
Collapsed
Text
Here
[[/collapsible]]

+ Open

Longer
Collapsed
Text
Here

Footnotes

Footnotes are good for inserting more information into text without cluttering the text:

Content[[footnote]]Footnote content[[/footnote]]. More content[[footnote]]More footnote content[[/footnote]].

Inserting [[footnoteblock]] determines the position of the footnotes. Otherwise, footnotes will appear at the bottom of the page:

Content¹. More content².

Footnotes

1. Footnote content

2. More footnote content

Quotes

Quoteblocks are handy for inserting text that comes from notes, or just to insert long quotes:

> Quote
>
> More quote

Quote
More quote

Note that there is a "> " to insert the empty line, and a space after the second ">" bracket; without those, the empty line isn't there:

> Quote
>
> More quote

Quote
More quote

> Quote

> More quote

Quote

More quote

In addition to the Wikidot standard blockquotes, there is another way to create the same effect:

[[div class="blockquote"]]
Quote
[[/div]]

Quote

This style of quoteblock saves you the trouble of needing to start every line with a ">" and also lets authors include code that normally doesn't work with the standard quoteblocks.

Tabs

You are reading this in tabs. Tabs are great for a variety of uses.

[[tabview]]
[[tab Tab 1]]
Contents of tab 1
[[/tab]]
[[tab Tab 2]]
Contents of Tab 2
[[/tab]]
[[tab Tab 3]]
Contents of Tab 3
[[/tab]]
[[/tabview]]

Tabs can be nested within tabs, but the most obvious method (putting a [[tabview]] within another [[tabview]]) will not work. There is a specific method required for nesting tabs, but I don't recommend doing it due to readability issues. Just make another sandbox page at that point.

Tables

Tables can be useful for entries with a large number of component entities:

||~ TITLE-FORMATTED CELL ||~ TITLE-FORMATTED CELL ||~ TITLE-FORMATTED CELL ||
|| Non-formatted cell || Non-formatted cell || Non-formatted cell ||
||< Left-aligned cell ||< Left-aligned cell ||< Left-aligned cell ||
||> Right-aligned cell ||> Right-aligned cell ||> Right-aligned cell ||
||= Center-aligned cell ||= Center-aligned cell ||= Center-aligned cell||

TITLE-FORMATTED CELL	TITLE-FORMATTED CELL	TITLE-FORMATTED CELL
Non-formatted cell	Non-formatted cell	Non-formatted cell
Left-aligned cell	Left-aligned cell	Left-aligned cell
Right-aligned cell	Right-aligned cell	Right-aligned cell
Center-aligned cell	Center-aligned cell	Center-aligned cell

Adding more cell separators (||) before the cell's text will make the cell span multiple columns based on how many cell separators you used:

||~ Cell title ||~ Cell title ||~ Cell title ||
|| Cell spanning one column |||| Cell spanning two columns ||
|||||| Cell spanning three columns||

Cell title	Cell title	Cell title
Cell spanning one column	Cell spanning two columns
Cell spanning three columns

Theorems & Definitions

On this wiki in particular, it is possible to create vanity boxes for popular theorems and definitions. These are most useful if created as their own pages starting with theorem:<theorem-name> and definition:<definition-name>.

For instance, here is a page containing a box for the Van Kampen theorem: theorem:van-kampen which is then included on the page about Van Kampen Theorem proper.

Once a unique theorem:<theorem-name> or definition:<definition-name> page is created it can be included with a regular [[include theorem<theorem-name>]] escape. For example:

[[include theorem:van-kampen]]

Produces:

Van Kampen Theorem Theorem. Let $A, B \subset X$, with intersection $A \overset{\iota_A}{\hookleftarrow} A \cap B \overset{\iota_B}{\hookrightarrow} B$ be open and path-connected with finitely-presented fundamental groups: $$\pi_1(A) \cong \langle a_1, \cdots, a_i\; \vert \; \alpha_1, \cdots, a_n \rangle$$ $$\pi_1(B) \cong \langle b_1, \cdots, b_j\; \vert \; \beta_1, \cdots, \beta_m\rangle$$$$\pi_1(A \cap B) \cong \langle g_1, \cdots, g_k\; \vert \; \gamma_1, \cdots, \gamma_l\rangle$$ Then union $A \cup B$ has fundamental group with presentation: $$\pi_1(A \cup B) = \langle a_1, \cdots, a_i, b_1, \cdots, b_j\; \vert \; \alpha_1, \cdots, \alpha_n, \beta_1, \cdots, \beta_m, \iota_A(g_1)\iota_B(g_1)^{-1}, \cdots, \iota_A(g_k)\iota_B(g_k)^{-1} \rangle$$

Creating New Theorem Box

New theorem boxes can be created as their own pages. For instance a page for the Equipartition Theorem box would be theorem:equipartition then included into relevant pages as [[include theorem:equipartition]] escape.

[[include inc:theorem
title=Equipartition Theorem|
body=For a system with a [[[Hamiltonian]]] [[$H(\mathbf{p}, \mathbf{q})$]] with generalized coordinates [[$\mathbf{q}$]] and momenta [[$\mathbf{p}$]]:[[$$\left\langle q_i \frac{\partial H}{\partial p_i} \right\rangle = k T$$]] for each quadratic degree of freedom, where [[$\langle \cdot \rangle$]] denotes the canonical [[[ensemble average]]].|
]]

Produces:

Equipartition Theorem Theorem. For a system with a Hamiltonian $H(\mathbf{p}, \mathbf{q})$ with generalized coordinates $\mathbf{q}$ and momenta $\mathbf{p}$:$$\left\langle q_i \frac{\partial H}{\partial p_i} \right\rangle = k T$$ for each quadratic degree of freedom, where $\langle \cdot \rangle$ denotes the canonical ensemble average.

Creating new Definition Box

Similarly,

[[include inc:definition
title=[[[Regular Cell Complex]]] |
body=A //regular cell complex// is a topological space [[$X$]] partitioned into subspaces [[$\{X_\alpha\}_{\alpha\in PX}$]] satisfying the following conditions:
# For each [[$x \in X$]], every sufficiently small neighborhood of [[$x$]] intersects finitely many [[$X_\alpha$]].
# For all [[$\alpha, \beta$]], [[$X_\alpha \cap X_\beta \neq \emptyset$]] only if [[$X_\beta \subseteq X_\alpha$]].
# Every [[$X_\alpha$]] is homeomorphic to [[$\mathbb{R}^{n_\alpha}$]] for some [[$n_\alpha$]].
# For every [[$\alpha$]], there is a homeomorphism of a closed ball in [[$\mathbb{R}^{n_\alpha}$]] to [[$X_\alpha$]] that maps the interior of the ball homeomorphically onto [[$X_\alpha$]].|]]

Will produce:

Definition. Regular Cell Complex: A regular cell complex is a topological space $X$ partitioned into subspaces $\{X_\alpha\}_{\alpha\in PX}$ satisfying the following conditions: For each $x \in X$, every sufficiently small neighborhood of $x$ intersects finitely many $X_\alpha$. For all $\alpha, \beta$, $X_\alpha \cap X_\beta \neq \emptyset$ only if $X_\beta \subseteq X_\alpha$. Every $X_\alpha$ is homeomorphic to $\mathbb{R}^{n_\alpha}$ for some $n_\alpha$. For every $\alpha$, there is a homeomorphism of a closed ball in $\mathbb{R}^{n_\alpha}$ to $X_\alpha$ that maps the interior of the ball homeomorphically onto $X_\alpha$.

Incomplete Sections

You can add [[include wiki:box:todo]] to signify unfinished sections.

[[include wiki:box:todo]]

Produces:

TO-DO

This section has been left to be completed at a later date. You can help by editing it.