Use h[1-6]. to create headers.

h1. My Header¶
¶

h2. My Header¶
¶

h3. My Header¶
¶

Result:

My Header

My Header

My Header

Creation of tables is very simple using | to indicate columns.

|_. heading one|_. heading two|
|<. left|>. right|
|^. top|<>{width:250px}. This is a 250px cell with a justified text inside.|
|~. bottom|=. This text will be centered. |

It is also possible to span across columns and rows like this (shown in a table with border):

Markdown:

|\2=. this cell spans two columns|
|=. first column|=. second column|
|/3=. this row spans 3 rows|=. a|
|=. b|
|=. c|

Result:

Create external links in your text using quotation marks ".

Markdown:

"This is my external link":http://en.wikipedia.org/

Result:

This is my external link

To create footnotes use [1-100], to actually type them use fn1. Footnote..., separated by empty lines, for instance:

Markdown:

p. This is a text with a footnote reference[1].
An this will create another reference[2].

p. Here comes another paragraph.

fn1. This is the first footnote

fn2. This is the second footnoted.

This is a text with a footnote reference¹.
An this will create another reference².

Here comes another paragraph.

¹ This is the first footnote

² This is the second footnoted.

Using exclamation marks !, you can include scaled images in your text and link to them:

Markdown:

!{width:250px}https://www.bookofproofs.org/graphics/examples/digraph1.gif!

Result:

Markdown:

!{width:350px}https://www.bookofproofs.org/graphics/examples/digraph1.gif!

Result:

Create internal links in your text using quotation marks and the "dd"-notation ("drill-down" open book notation) ".

Markdown:

My internal link to "natural numbers":https://www.bookofproofs.org/branches/?dd=103

Result:

My internal link to natural numbers

Markdown:

My internal link to "Niels Henrik Abel":https://www.bookofproofs.org/history/?dd=3576

Result:

My internal link to Niels Henrik Abel

Create internal links in your text using quotation marks and the "dd"-notation ("drill-down" open book notation) ".

My internal link to "natural numbers":https://www.bookofproofs.org/branches/natural-numbers/

Result:

My internal link to natural numbers

My internal link to "Niels Henrik Abel":https://www.bookofproofs.org/history/niels-henrik-abel/

Result:

My internal link to Niels Henrik Abel

Use p. Text to create paragraphs.

p. This is a paragraph¶
¶

p. And here begins a new pararagraph...¶
¶

Result:

This is a paragraph.

And here begins a new pararagraph. Lorem ipsum dolor sit amet, ea dolore vivendum nec, sit at facer suscipit, sea affert vivendo maluisset no.

Use bq. Text to quote.

p. This is a quotation:¶
¶
bq. "Veni, vidi, vici"¶
Julius Caesar (100–44 BC).¶

Result:

This is a quotation:

“Veni, vidi, vici”
Julius Caesar (100–44 BC).

Create lists using # for enumerations, * for itemizations, and - =: := for Redcloth-style definition lists.

Markdown:

# First Level
## Second Level
### Third Level

Result:

1. First Level
   1. Second Level
      1. Third Level

Markdown:

* First Level
** Second Level
*** Third Level

Result:

• First Level
  • Second Level
    • Third Level

Markdown:

- Term1 := Definition1
- Term2 := Extended
definition =:

Result:

Term1

Definition1

Term2

Extended
definition

You can use inline modifiers to change the appearance of your text.

Markdown:

This text is _emphasized_.
This text is __italic__.
This text is *strong*.
This text is **bold**.
This text is ??cited??
This text is -deleted-.
This text is +inserted+.
This text is in ^superscript^.
This text is in ~subscript~.
This text is in @computer system script@.
%(red)This text is red.%
%(blue)This text is blue.%
%(green)This text is green.%
%(gray)This text is gray.%
%(w3-amber)This text is in one of the many w3-colors (see w3schools w3.css)%
==This text is not formated at all.==

Result:

This text is emphasized.
This text is italic.
This text is strong.
This text is bold.
This text is cited
This text is deleted.
This text is inserted.
This text is in ^superscript.
This text is in _subscript.
This text is in computer system script.
This text is red.
This text is blue.
This text is green.
This text is gray.
This text is in one of the many w3-colors (see w3schools w3.css)
This text is not formated at all.

Type mathematic formulae using \[...\] or type them inline using \(...\).

Mathjax:

p. The Cauchy-Schwarz Inequality states that
\[
\left( \sum_{k=1}^n a_k b_k \right)^{2} \leq
 \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)
\]

p. Einstein's famous equation is \(E=mc^2\).

Result:

The Cauchy-Schwarz Inequality states that
\[
\left( \sum_{k=1}^n a_k b_k \right)^{2} \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)
\]

Einstein’s famous equation is \(E=mc^2\).

Superscripting and Subscripting

Mathjax:

\(x^{2y}\)

Result:

\(x^{2y}\)

Mathjax:

\(x^{y^{2}}\)

Result:

\(x^{y^{2}}\)

Mathjax:

\(x_{1}^{a_{2}}\)

Result:

\(x_{1}^{a_{2}}\)

Fractions and Squares

Mathjax:

Multiplying with
 \(\sqrt[n]{2}\)
 results in \( (m+n)/n\).

Result:

Result:

Multiplying with \(\sqrt[n]{2}\) results in \( (m+n)/n\).

Mathjax:

\frac{-b\pm
\sqrt{b^2-4ac}}{2a}

Result:

\(\frac{-b\pm
\sqrt{b^2-4ac}}{2a}\)

Mathjax:

\frac{x+y}
{1+\frac{y}{z+1}}

Result:

\(\frac{x+y}
{1+\frac{y}{z+1}}\)

Matrix and Ellipsis

Mathjax:

x_{1},\ldots,x_{n}

Result:

\(x_{1},\ldots,x_{n}\)

Mathjax:

x_{1},\cdots,x_{n}

Result:

\(x_{1},\cdots,x_{n}\)

Mathjax:

\left(\begin{array}{ccc}
x_{11}&\cdots&x_{1n}\\
\vdots&\ddots&\vdots\\
x_{n1}&\cdots&x_{nn}
\end{array}\right)

Result:

\(\left(\begin{array}{ccc}
x_{11}&\cdots&x_{1n}\\
\vdots&\ddots&\vdots\\
x_{n1}&\cdots&x_{nn}
\end{array}\right)\)

Greek letters

 \alpha 

 \beta 

 \gamma,\Gamma 

 \delta,\Delta 

 \epsilon 

 \varepsilon 

 \zeta 

 ta 

 \theta,\Theta 

 \vartheta 

 \iota 

 \kappa 

 \lambda,\Lambda 

 \mu 

 \nu 

 \xi,\Xi 

 o 

 \pi,\Pi 

 \varpi 

 \rho 

 \varrho 

 \sigma,\Sigma 

 \varsigma 

 \tau 

 \upsilon,\Upsilon 

 \phi,\Phi 

 \varphi 

 \chi 

 \psi,\Psi 

 \omega,\Omega\ 

Relations

 < 

 > 

\le

\geq

\in

\notin

\ni

\propto

=

\neq

\simeq

\sim

\subset

\subseteq

\supset

\supseteq

\ll

\gg

\prec

\succ

\vdash

\dashv

\perp

\mid

\parallel

\equiv

\asymp

\cong

\sqsubseteq

\sqsupseteq

\doteq

\models

\preceq

\succeq

\smile

\frown

Arrows

 \leftarrow 

 \rightarrow 

 \longleftarrow 

 \longrightarrow 

 \Leftarrow 

 \Rightarrow 

 \Longleftarrow 

 \Longrightarrow 

 \Leftrightarrow 

 \leftrightarrow 

 \Longleftrightarrow 

 \longleftrightarrow 

 \uparrow 

 \Uparrow 

 \downarrow 

 \Downarrow 

 \nearrow 

 \searrow 

 \nwarrow 

 \swarrow 

 \mapsto 

 \longmapsto 

 \leadsto 

 \rightleftharpoons 

 \leftharpoonup 

 \rightharpoonup 

 \leftharpoondown 

 \rightharpoondown 

 \hookleftarrow 

 \hookrightarrow 

 \updownarrow 

 \Updownarrow 

Operators and other Symbols

 + 

 - 

 \cdot 

 \div 

 \pm 

 \mp 

 \times 

 \odot 

 \oplus 

 \ominus 

 \otimes 

 \oslash 

 \bullet 

 \lfloor x \rfloor 

 \lceil x \rceil 

 \ast 

 \diamond 

 \circ 

 \dagger 

 \ddagger 

 \cap 

 \cup 

 \sqcap 

 \sqcup 

 \vee 

 \wedge 

 \bigtriangleup 

 \bigtriangledown 

 \triangleleft 

 \triangleright 

 \triangle

 \Box 

 \lhd 

 \rhd 

 \wr 

 \amalg 

 \uplus 

 \nabla 

 \| 

 \surd 

 \setminus 

 \emptyset 

 \top 

 \bot 

 \prime 

 \partial 

 \forall 

 \exists 

 \neg 

 \backslash 

 \angle 

 \infty 

 \flat 

 \natural 

 \sharp 

 \star 

 \clubsuit 

 \diamondsuit 

 \heartsuit 

 \spadesuit 

 \aleph 

 \hbar 

 \imath 

 \jmath 

 ll 

 \wp 

 \Re 

 \Im 

 \mho 

 \unlhd 

 \unrhd 

 \Join 

Big Operators and Symbols

 \sum 

 \prod 

 \coprod 

 \bigsqcup 

 \int 

 \iint 

 \iiint 

 \iiiint 

 \oint 

 \oint\oint 

 \bigcap 

 \bigcup 

 \bigoplus 

 \biguplus 

 \bigodot 

 \bigotimes 

 \bigvee 

 \bigwedge 

 \Diamond 

 \bigcirc