Text.LaTeX.Packages.AMSMath

AMSMath support. Also numeric instances (Num, Fractional and Floating) for LaTeX and LaTeXT.

AMSMath package

amsmath :: PackageName

AMSMath package. Example:

 usepackage [] amsmath

Math Environments

math :: LaTeXC l => l -> l

Inline mathematical expressions.

mathDisplay :: LaTeXC l => l -> l

Displayed mathematical expressions, i.e. in a seperate line / block.

equation :: LaTeXC l => l -> l

A numbered mathematical equation (or otherwise math expression).

equation_ :: LaTeXC l => l -> l

The unnumbered variant of equation.

align :: LaTeXC l => [l] -> l

An array of aligned equations. Use & to specify the points that should horizontally match. Each equation is numbered, unless prevented by nonumber.

align_ :: LaTeXC l => [l] -> l

The unnumbered variant of align.

Referencing

eqref :: LaTeXC l => l -> l

A reference to a numbered equation. Use with a label defined in the scope of the equation refered to.

nonumber :: LaTeXC l => l

Prevent an equation from being numbered, where the environment would by default do that.

Symbols and utilities

The unicode approximations do, of course, not reliably represent how LaTeX renders these symbols.

Brackets / delimiters

autoParens :: LaTeXC l => l -> l

Surround a LaTeX math expression by parentheses whose height automatically matches the expression's. Translates to \left(...\right).

autoSquareBrackets :: LaTeXC l => l -> l

Like autoParens, but with square brackets. Equivalent to autoBrackets"[""]".

autoBraces :: LaTeXC l => l -> l

Like autoParens, but with curly brackets.

autoAngleBrackets :: LaTeXC l => l -> l

Like autoParens, but with angle brackets 〈 ... 〉. Equivalent to autoBrackets langle rangle.

autoBrackets :: LaTeXC l => LaTeX -> LaTeX -> l -> l

Use custom LaTeX expressions as auto-scaled delimiters to surround math. Suitable delimiters include |...| (absolute value), ‖...‖ (norm, dblPipe), ⌊...⌋ (round-off Gauss brackets, lfloor / rfloor) etc..

langle :: LaTeXC l => l

Left angle bracket, 〈.

rangle :: LaTeXC l => l

Right angle bracket, 〉.

lfloor :: LaTeXC l => l

Left floor, ⌊.

rfloor :: LaTeXC l => l

Right floor, ⌋.

lceil :: LaTeXC l => l

Left ceiling, ⌈.

rceil :: LaTeXC l => l

Right ceiling, ⌉.

dblPipe :: LaTeXC l => l

Double vertical line, used as delimiter for norms (‖ ... ‖).

Superscript and subscript

(^:) :: LaTeXC l => l -> l -> l

Superscript.

(!:) :: LaTeXC l => l -> l -> l

Subscript.

Function symbols

Some symbols are preceded with t to be distinguished from predefined Haskell entities (like sin and cos).

tsin :: LaTeXC l => l

Sine function symbol.

arcsin :: LaTeXC l => l

Arcsine function symbol.

tcos :: LaTeXC l => l

Cosine function symbol.

arccos :: LaTeXC l => l

Arccosine function symbol.

ttan :: LaTeXC l => l

Tangent function symbol.

arctan :: LaTeXC l => l

Arctangent function symbol.

cot :: LaTeXC l => l

Cotangent function symbol.

arccot :: LaTeXC l => l

Arccotangent function symbol.

tsinh :: LaTeXC l => l

Hyperbolic sine function symbol.

tcosh :: LaTeXC l => l

Hyperbolic cosine function symbol.

ttanh :: LaTeXC l => l

Hyperbolic tangent function symbol.

coth :: LaTeXC l => l

Hyperbolic cotangent function symbol.

sec :: LaTeXC l => l

Secant function symbol.

csc :: LaTeXC l => l

Cosecant function symbol.

texp :: LaTeXC l => l

Exponential function symbol.

tlog :: LaTeXC l => l

Logarithm function symbol.

ln :: LaTeXC l => l

Natural logarithm symbol.

tsqrt :: LaTeXC l => Maybe l -> l -> l

Root notation. Use tsqrt (Just n) x for the nth root of x. When Nothing is supplied, the function will output a square root.

Sum/Integral symbols

tsum :: LaTeXC l => l

Sigma sumation symbol.

sumFromTo

Arguments

:: LaTeXC l

=> l

Expression below the sigma.

-> l

Expression above the sigma.

-> l

Sigma sumation symbol with limits.

prod :: LaTeXC l => l

Pi product symbol.

prodFromTo

Arguments

:: LaTeXC l

=> l

Expression below the pi.

-> l

Expression above the pi.

-> l

Pi product symbol with limits.

integral :: LaTeXC l => l

Integral symbol.

integralFromTo

Arguments

:: LaTeXC l

=> l

Lower limit of integration.

-> l

Upper limit of integration.

-> l

Integral symbol with limits of integration.

Operator symbols

Arithmetic

pm :: LaTeXC l => l -> l -> l

Plus-or-minus operator (±).

mp :: LaTeXC l => l -> l -> l

Minus-or-plus operator (∓).

cdot :: LaTeXC l => l -> l -> l

Centered-dot operator (⋅).

times :: LaTeXC l => l -> l -> l

"x-cross" multiplication operator (×).

div_ :: LaTeXC l => l -> l -> l

Division operator.

frac :: LaTeXC l => l -> l -> l

Fraction operator.

(*:) :: LaTeXC l => l -> l -> l

Asterisk operator (*).

 infixl 7 *:

star :: LaTeXC l => l -> l -> l

Star operator (★).

circ :: LaTeXC l => l -> l -> l

Ring operator (∘).

bullet :: LaTeXC l => l -> l -> l

Bullet operator (∙).

Comparison

(=:) :: LaTeXC l => l -> l -> l

Equal.

 infixr 4 =:

(/=:) :: LaTeXC l => l -> l -> l

Not equal (≠).

 infixr 4 /=:

(<:) :: LaTeXC l => l -> l -> l

Lesser.

(<=:) :: LaTeXC l => l -> l -> l

Lesser or equal (≤).

(>:) :: LaTeXC l => l -> l -> l

Greater.

(>=:) :: LaTeXC l => l -> l -> l

Greater or equal (≥).

ll :: LaTeXC l => l -> l -> l

Much less (≪).

gg :: LaTeXC l => l -> l -> l

Much greater (≫).

equiv :: LaTeXC l => l -> l -> l

Identical / defined-as / equivalent (≡).

propto :: LaTeXC l => l -> l -> l

Proportional-to (∝).

Sets

in_ :: LaTeXC l => l -> l -> l

Element-of (∈).

ni :: LaTeXC l => l -> l -> l

Mirrored element-of (∋).

notin :: LaTeXC l => l -> l -> l

Not element of (∉).

subset :: LaTeXC l => l -> l -> l

Subset-of (⊂).

supset :: LaTeXC l => l -> l -> l

Superset-of (⊃).

cap :: LaTeXC l => l -> l -> l

Set intersection (∩).

cup :: LaTeXC l => l -> l -> l

Set union (∪).

setminus :: LaTeXC l => l -> l -> l

Set minus (∖).

Misc operators

vee :: LaTeXC l => l -> l -> l

Angle pointing downwards (∨).

wedge :: LaTeXC l => l -> l -> l

Angle pointing upwards (∧).

oplus :: LaTeXC l => l -> l -> l

Circled plus operator (⊕).

ominus :: LaTeXC l => l -> l -> l

Circled minus operator (⊖).

otimes :: LaTeXC l => l -> l -> l

Circled multiplication cross (⊗).

oslash :: LaTeXC l => l -> l -> l

Circled slash (⊘).

odot :: LaTeXC l => l -> l -> l

Circled dot operator (⊙).

Greek alphabet

Functions of greek alphabet symbols.

Uppercase versions are suffixed with u. Variants are prefixed with var. The function pi_ is ended by an underscore symbol to distinguish it from the pi Prelude function.

alpha :: LaTeXC l => l

α symbol.

beta :: LaTeXC l => l

β symbol.

gamma :: LaTeXC l => l

γ symbol.

gammau :: LaTeXC l => l

Γ symbol.

delta :: LaTeXC l => l

δ symbol.

deltau :: LaTeXC l => l

Δ symbol.

epsilon :: LaTeXC l => l

ϵ symbol.

varepsilon :: LaTeXC l => l

ε symbol.

zeta :: LaTeXC l => l

ζ symbol.

eta :: LaTeXC l => l

η symbol.

theta :: LaTeXC l => l

θ symbol.

vartheta :: LaTeXC l => l

ϑ symbol.

thetau :: LaTeXC l => l

Θ symbol.

iota :: LaTeXC l => l

ι symbol.

kappa :: LaTeXC l => l

κ symbol.

lambda :: LaTeXC l => l

λ symbol.

lambdau :: LaTeXC l => l

Λ symbol.

mu :: LaTeXC l => l

μ symbol.

nu :: LaTeXC l => l

ν symbol.

xi :: LaTeXC l => l

ξ symbol.

xiu :: LaTeXC l => l

Ξ symbol.

pi_ :: LaTeXC l => l

π symbol.

varpi :: LaTeXC l => l

ϖ symbol.

piu :: LaTeXC l => l

Π symbol.

rho :: LaTeXC l => l

ρ symbol.

varrho :: LaTeXC l => l

ϱ symbol.

sigma :: LaTeXC l => l

σ symbol.

varsigma :: LaTeXC l => l

ς symbol.

sigmau :: LaTeXC l => l

Σ symbol.

tau :: LaTeXC l => l

τ symbol.

upsilon :: LaTeXC l => l

υ symbol.

upsilonu :: LaTeXC l => l

Υ symbol.

phi :: LaTeXC l => l

ϕ symbol.

varphi :: LaTeXC l => l

φ symbol.

phiu :: LaTeXC l => l

Φ symbol.

chi :: LaTeXC l => l

χ symbol.

psi :: LaTeXC l => l

ψ symbol.

psiu :: LaTeXC l => l

Ψ symbol.

omega :: LaTeXC l => l

ω symbol.

omegau :: LaTeXC l => l

Ω symbol.

Other symbols

to :: LaTeXC l => l

A right-arrow, →.

mapsto :: LaTeXC l => l

A right-arrow for function definitions, ↦.

forall :: LaTeXC l => l

For all symbol, ∀.

exists :: LaTeXC l => l

Exists symbol, ∃.

dagger :: LaTeXC l => l

Dagger symbol, †.

ddagger :: LaTeXC l => l

Double dagger symbol, ‡.

Fonts

mathdefault :: LaTeXC l => l -> l

Default math symbol font.

mathbf :: LaTeXC l => l -> l

Bold face.

mathrm :: LaTeXC l => l -> l

Roman, i.e. not-italic math.

mathcal :: LaTeXC l => l -> l

Calligraphic math symbols.

mathsf :: LaTeXC l => l -> l

Sans-serif math.

mathtt :: LaTeXC l => l -> l

Typewriter font.

mathit :: LaTeXC l => l -> l

Italic math. Uses the same glyphs as mathdefault, but with spacings intended for multi-character symbols rather than juxtaposition of single-character symbols.

Matrices

pmatrix :: (Texy a, LaTeXC l) => Maybe HPos -> Matrix a -> l

LaTeX rendering of a matrix using pmatrix and a custom function to render cells. Optional argument sets the alignment of the cells. Default (providing Nothing) is centered.

 ( M )

bmatrix :: (Texy a, LaTeXC l) => Maybe HPos -> Matrix a -> l

LaTeX rendering of a matrix using bmatrix and a custom function to render cells. Optional argument sets the alignment of the cells. Default (providing Nothing) is centered.

 [ M ]

b2matrix :: (Texy a, LaTeXC l) => Maybe HPos -> Matrix a -> l

LaTeX rendering of a matrix using Bmatrix and a custom function to render cells. Optional argument sets the alignment of the cells. Default (providing Nothing) is centered.

 { M }

vmatrix :: (Texy a, LaTeXC l) => Maybe HPos -> Matrix a -> l

LaTeX rendering of a matrix using vmatrix and a custom function to render cells. Optional argument sets the alignment of the cells. Default (providing Nothing) is centered.

 | M |

v2matrix :: (Texy a, LaTeXC l) => Maybe HPos -> Matrix a -> l

LaTeX rendering of a matrix using Vmatrix and a custom function to render cells. Optional argument sets the alignment of the cells. Default (providing Nothing) is centered.

 || M ||