Template:LaTeX mapping operators

[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]

Template documentation[view] [edit] [history] [purge]

[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] This template allows LaTeX representations of monzos, vals, and monzo–val products by defining the operators in advance to avoid the need to manually enter brackets.

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]	Monzo (pipe variant)
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]	Bimonzo (pipe variant)
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]	Trimonzo (pipe variant)
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]	Quadmonzo (pipe variant)
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]	Val (pipe variant)
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]	Bival (pipe variant)
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]	Trival (pipe variant)
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]	Quadval (pipe variant)
rbra	\rbra{\monzo{1 & 2 & 3} & \monzo{0 & -3 & -5}}	[math]\displaystyle{ \rbra{\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 val and monzo
wmp	\wmp{12 & 19 & 28}{-4 & 4 & -1}	[math]\displaystyle{ \wmp{12 & 19 & 28}{-4 & 4 & -1} }[/math]	Dot product of bival and bimonzo

See also

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