Template:LaTeX mapping operators/doc

[math]\displaystyle{ \def\hs{\hspace{-3px}} \def\lvsp{{}\mkern-5.5mu}{} \def\rvsp{{}\mkern-2.5mu}{} \def\llangle{\left\langle\lvsp\left\langle} \def\lllangle{\left\langle\lvsp\left\langle\lvsp\left\langle} \def\llllangle{\left\langle\lvsp\left\langle\lvsp\left\langle\lvsp\left\langle} \def\llbrack{\left[\left[} \def\lllbrack{\left[\left[\left[} \def\llllbrack{\left[\left[\left[\left[} \def\llvert{\left\vert\left\vert} \def\lllvert{\left\vert\left\vert\left\vert} \def\llllvert{\left\vert\left\vert\left\vert\left\vert} \def\rrangle{\right\rangle\rvsp\right\rangle} \def\rrrangle{\right\rangle\rvsp\right\rangle\rvsp\right\rangle} \def\rrrrangle{\right\rangle\rvsp\right\rangle\rvsp\right\rangle\rvsp\right\rangle} \def\rrbrack{\right]\right]} \def\rrrbrack{\right]\right]\right]} \def\rrrrbrack{\right]\right]\right]\right]} \def\rrvert{\right\vert\right\vert} \def\rrrvert{\right\vert\right\vert\right\vert} \def\rrrrvert{\right\vert\right\vert\right\vert\right\vert} }[/math][math]\displaystyle{ \def\val#1{\left\langle\begin{matrix}#1\end{matrix}\right]} \def\tval#1{\left\langle\begin{matrix}#1\end{matrix}\right\vert} \def\bival#1{\llangle\begin{matrix}#1\end{matrix}\rrbrack} \def\bitval#1{\llangle\begin{matrix}#1\end{matrix}\rrvert} \def\trival#1{\lllangle\begin{matrix}#1\end{matrix}\rrrbrack} \def\tritval#1{\lllangle\begin{matrix}#1\end{matrix}\rrrvert} \def\quadval#1{\llllangle\begin{matrix}#1\end{matrix}\rrrrbrack} \def\quadtval#1{\llllangle\begin{matrix}#1\end{matrix}\rrrrvert} \def\monzo#1{\left[\begin{matrix}#1\end{matrix}\right\rangle} \def\tmonzo#1{\left\vert\begin{matrix}#1\end{matrix}\right\rangle} \def\bimonzo#1{\llbrack\begin{matrix}#1\end{matrix}\rrangle} \def\bitmonzo#1{\llvert\begin{matrix}#1\end{matrix}\rrangle} \def\trimonzo#1{\lllbrack\begin{matrix}#1\end{matrix}\rrrangle} \def\tritmonzo#1{\lllvert\begin{matrix}#1\end{matrix}\rrrangle} \def\quadmonzo#1{\llllbrack\begin{matrix}#1\end{matrix}\rrrrangle} \def\quadtmonzo#1{\llllvert\begin{matrix}#1\end{matrix}\rrrrangle} \def\rbra#1{\left\{\begin{matrix}#1\end{matrix}\right]} \def\rket#1{\left[\begin{matrix}#1\end{matrix}\right\}} \def\vmp#1#2{\left\langle\begin{matrix}#1\end{matrix}\,\vert\,\begin{matrix}#2\end{matrix}\right\rangle} \def\wmp#1#2{\llangle\begin{matrix}#1\end{matrix}\,\vert\vert\,\begin{matrix}#2\end{matrix}\rrangle} }[/math]

Usage

This template is mainly used to typeset Monzos and vals, but multimonzos and multivals are also supported up to four dimensions.

Note: You can use {{texmap}} as a shortcut.

Pre-defined LaTeX control sequences for interval vectors

Operator	Example		Definition
	You type	You get
monzo	\monzo{-4 & 4 & -1}	[math]\displaystyle{ \monzo{-4 & 4 & -1} }[/math]	Monzo
tmonzo	\tmonzo{-4 & 4 & -1}	[math]\displaystyle{ \tmonzo{-4 & 4 & -1} }[/math]	Tempered monzo
bimonzo	\bimonzo{-4 & 4 & -1}	[math]\displaystyle{ \bimonzo{-4 & 4 & -1} }[/math]	Bimonzo
bitmonzo	\bitmonzo{-4 & 4 & -1}	[math]\displaystyle{ \bitmonzo{-4 & 4 & -1} }[/math]	Tempered bimonzo
trimonzo	\trimonzo{-4 & 4 & -1}	[math]\displaystyle{ \trimonzo{-4 & 4 & -1} }[/math]	Trimonzo
tritmonzo	\tritmonzo{-4 & 4 & -1}	[math]\displaystyle{ \tritmonzo{-4 & 4 & -1} }[/math]	Tempered trimonzo
quadmonzo	\quadmonzo{-4 & 4 & -1}	[math]\displaystyle{ \quadmonzo{-4 & 4 & -1} }[/math]	Quadmonzo
quadtmonzo	\quadtmonzo{-4 & 4 & -1}	[math]\displaystyle{ \quadtmonzo{-4 & 4 & -1} }[/math]	Tempered quadmonzo
val	\val{12 & 19 & 28}	[math]\displaystyle{ \val{12 & 19 & 28} }[/math]	Val
tval	\tval{12 & 19 & 28}	[math]\displaystyle{ \tval{12 & 19 & 28} }[/math]	Tempered val
bival	\bival{12 & 19 & 28}	[math]\displaystyle{ \bival{12 & 19 & 28} }[/math]	Bival
bitval	\bitval{12 & 19 & 28}	[math]\displaystyle{ \bitval{12 & 19 & 28} }[/math]	Tempered bival
trival	\trival{12 & 19 & 28}	[math]\displaystyle{ \trival{12 & 19 & 28} }[/math]	Trival
tritval	\tritval{12 & 19 & 28}	[math]\displaystyle{ \tritval{12 & 19 & 28} }[/math]	Tempered trival
quadval	\quadval{12 & 19 & 28}	[math]\displaystyle{ \quadval{12 & 19 & 28} }[/math]	Quadval
quadtval	\quadtval{12 & 19 & 28}	[math]\displaystyle{ \quadtval{12 & 19 & 28} }[/math]	Tempered quadval
lket	\lket{\monzo{1 & 2 & 3} & \monzo{0 & -3 & -5}}	[math]\displaystyle{ \lket{\monzo{1 & 2 & 3} & \monzo{0 & -3 & -5}} }[/math]	Dave Keenan and Douglas Blumeyer's variation on extended bra-ket notation
rket	\rket{\val{1 & 2 & 3} & \val{0 & -3 & -5}}	[math]\displaystyle{ \rket{\val{1 & 2 & 3} & \val{0 & -3 & -5}} }[/math]
vmp	\vmp{12 & 19 & 28}{-4 & 4 & -1}	[math]\displaystyle{ \vmp{12 & 19 & 28}{-4 & 4 & -1} }[/math]	Dot product of Monzo and val
wmp	\wmp{12 & 19 & 28}{-4 & 4 & -1}	[math]\displaystyle{ \wmp{12 & 19 & 28}{-4 & 4 & -1} }[/math]	Dot product of bimonzo and wedgie

Tip: Adding spaces improves readability of the markup.

See also

• Template:LaTeX preset characters – for predefining the bracket sequences.
• Template:LaTeX operators – for typesetting more basic mathematical functions.