Math commands - Reference

From OpenOffice.org Wiki

Unary / binary operators

Operation	Command	Display
Positive (plus)	+1	+1
Negative (minus)	-1	−1
Plus/minus	+-1	$\pm 1$
Minus/plus	-+1	$\mp 1$
Boolean 'not'	neg a	¬a
Addition	a + b	a+b
Dot product	a cdot b	a·b
Cross product	a times b	a×b
Multiplication (asterisk)	a * b	a b*
Boolean 'and'	a and b	a∧b
Subtraction	a - b	a−b
Division (as a fraction)	a over b	$\frac{a}{b}$
Division (as an operator)	a div b	a÷b
Division (with a slash)	a / b	a/b
Boolean 'or'	a or b	$a \or b$
Concatenation	a circ b	$a \circ b$

Relational operators

Operation	Command	Display
Is equal	a = b	a=b
Is not equal	a <> b	a≠b
Approximately	a approx 2	a≈b
Divides	a divides b	$a \mid b$
Does not divide	a ndivides b	$a \! \nmid \! b$
Less than	a < 2	a<2
Greater than	a > 2	a>2
Similar to or equal	a simeq b	$a\! \simeq\! b$
Parallel	a parallel b	$a \!\parallel\! b$
Orthogonal to	a ortho b	$a \!\perp\! b$
Less than or equal to	a leslant b	$a \!\leqslant\! b$
Greater than or equal to	a geslant b	$a \!\geqslant\! b$
Similar to	a sim b	$a\!\sim\! b\,\!$
Congruent	a equiv b	a≡b
Less than or equal to	a <= b	a≤b
Greater than or equal to	a >= b	a≥b
Proportional	a prop b	$a\! \propto\! b$
Toward	a toward b	a→b
Arrow left	a dlarrow b	a⇐b
Double arrow left and right	a dlrarrow b	a⇔b
Arrow right	a drarrow b	a⇒b

Set operations

Operation	Command	Display
Is in	a in B	a∈B
Is not in	a notin B	a∉B
Owns	A owns b	$A\!\ni\! b$
Empty set	emptyset	$\emptyset$
Intersection	A intersection B	A∩B
Union	A union B	A∪B
Difference	A setminus B	$A\!\setminus\! B$
Quotient	A slash B	$A\!/\! B$
Aleph	aleph	ℵ
Subset	A subset B	A⊂B
Subset or equal to	A subseteq B	A⊆B
Superset	A supset B	A⊃B
Superset or equal to	A supseteq B	A⊇B
Not subset	A nsubset B	A⊂ / B
Not subset or equal	A nsubseteq B	A⊆ / B
Not superset	A nsupset B	A⊃ / B
Not superset or equal	A nsupseteq B	A⊇ / B
Set of natural numbers	setN	$\mathbb{N}$
Set of integers	setZ	$\mathbb{Z}$
Set of rational numbers	setQ	$\mathbb{Q}$
Set of real numbers	setR	$\mathbb{R}$
Set of complex numbers	setC	$\mathbb{C}$

Functions

Operation	Command	Display
Exponential	func e^{a}	$\operatorname{e}^a$
Natural logarithm	ln(a)	$ln(a)$
Exponential function	exp(a)	$exp(a)$
Logarithm	log(a)	$log(a)$
Power	a^{b}	$a^b\,\!$
Sine	sin(a)	$sin(a)$
Cosine	cos(a)	$cos(a)$
Tangent	tan(a)	$tan(a)$
Cotangent	cot(a)	$cot(a)$
Square root	sqrt{a}	$\sqrt{a}$
Arcsine	arcsin(a)	$arcsin(a)$
Arccosine	arccos(a)	$arccos(a)$
Arctangent	arctan(a)	$arctan(a)$
Arc cotangent	arccot(a)	$arccot(a)$
n^th root	nroot{a}{b}	$\sqrt[a]{b}$
Hyperbolic sine	sinh(a)	$sinh(a)$
Hyperbolic cosine	cosh(a)	$cosh(a)$
Hyperbolic tangent	tanh(a)	$tanh(a)$
Hyperbolic cotangent	coth(a)	$coth(a)$
Absolute value	abs{a}	$\|\,a\,\|$
Arc hyperbolic sine	arsinh(a)	$\operatorname{arsinh}(a)$
Arc hyperbolic cosine	arccosh(a)	$\operatorname{arcosh}(a)$
Arc hyperbolic tangent	arctanh(a)	$\operatorname{artanh}(a)$
Arc hyperbolic cotangent	arccoth(a)	$\operatorname{arcoth}(a)$
Factorial	fact{a}	$a!\!\,$

Operators

All operators can be used with the limit functions (“from" and “to").

Operation	Command	Display
Limit	lim{a}	$\lim{a}$
Sum	sum{a}	$\sum{a}$
Product	prod{a}	$\prod{a}$
Coproduct	coprod{a}	$\coprod{a}$
Upper and lower bounds shown with integral	int from {r_0} to {r_t} a	$\int_{r_0}^{r_t}{a}$
Integral	int{a}	$\int{a}$
Double integral	iint{a}	$\iint{a}$
Triple integral	iiint{a}	$\iiint{a}$
Lower bound shown with summation symbol	sum from{3}b	$\sum_3{b}\,\!$
Contour integral	lint a	$\oint{a}$
Double curved integral	llint a
Triple curved integral	lllint a
Product with range	prod from {i=1} to {n} {(i+1)}	$\prod_{i=1}^{n}{(i+1)}$

Attributes

Operation	Command	Display
Acute accent	acute a	á
Grave accent	grave a	à
Reverse circumflex	check a	$\check{a}$
Breve	breve a	$\breve{a}$
Circle	circle a	å
Vector arrow	vec a	$\vec{a}$
Tilde	tilde a	ã
Circumflex	hat a	â
Line above	bar a	$\bar{a}$
Dot	dot a	$\dot{a}$
Wide vector arrow	widevec abc	$\overrightarrow{a b c}$
Wide tilde	widetilde abc
Wide circumflex	widehat abc	$\widehat{abc}$
Double dot	ddot a	$\ddot{a}$
Line over	overline abc	$\overline{abc}$
Line under	underline abc	$\underline{abc}$
Line through	overstrike abc	~~abc~~
Triple dot	dddot a
Transparent (useful to get a placeholder of a given size)	phantom a
Bold font	bold a	$\bold{a}$
Italic font (see Note 1)	ital “a"	$\mathit{a}\,\!$
Resize font	size 16 qv	qv
Following item in sans serif font (see Note 2)	font sans qv	qv
Following item in serif font	font serif qv	$qv$
Following item in fixed font	font fixed qv	`qv`
Make color of following text cyan (see Note 3)	color cyan qv	$\color{Cyan}qv$
Make color of following text yellow	color yellow qv	$\color{Yellow}qv$
Make color of following text white	color white qv	$\color{White}qv$
Make color of following text green	color green qv	$\color{Green}qv$
Make color of following text blue	color blue qv	$\color{Blue}qv$
Make color of following text red	color red qv	$\color{Red}qv$
Make color green returns to default color black	color green X qv	${\color{Green}{X}} \ qv$
Brace items to change color of more than one item	color green {X qv}	$\color{Green}{X\ qv}$

Note 1: Unquoted text that is not a command is considered to be a variable. Variables are, by default, italicized.

Note 2: There are three custom fonts: serif (with serifs), sans (sans serif, meaning without serifs), and fixed (monospaced). To change the actual fonts used for custom fonts and the fonts used for variables (unquoted text), numbers and functions, use Format > Fonts.

Note 3: For all coloring, the color will apply only to the text immediately following the command until the next space is encountered. In order to have the color apply to more characters, place the text you want in color in curly brackets.

Miscellaneous

Operation	Command	Display
Infinity	infinity	$\infin$
Partial	partial	$\partial$
Nabla	nabla	$\nabla$
There exists	exists	$\exists$
For all	forall	$\forall$
H bar	hbar	$\hbar$
Lambda bar	lambdabar
Real part	re	$\Re$
Imaginary part	im	$\Im$
Weierstrass p	wp	$\wp$
Left arrow	leftarrow	$\leftarrow$
Right arrow	rightarrow	$\rightarrow$
Up arrow	uparrow	$\uparrow$
Down arrow	downarrow	$\downarrow$
Dots at bottom	dotslow	$\ldots$
Dots at middle	dotsaxis	$\cdots$
Dots vertical	dotsvert	$\vdots$
Dots diagonal upward	dotsup
Dots diagonal downward	dotsdown	$\ddots$

Brackets

Operation	Command	Display
Round Brackets	(a)	$(a)$
Square Brackets	[b]	$[b]$
Double Square Brackets	ldbracket c rdbracket	$[\![ c ]\!]$
Single line	lline a rline	$\vert a \vert$
Double line	ldline a rdline	$\Vert a \Vert$
Braces	lbrace w rbrace	${w}$
Braces	left lbrace stack{0, n <> 0 # 1, n = 1} right none
Angle Brackets	langle d rangle	$\langle d \rangle$
Operator Brackets	langle a mline b rangle	$\langle a\|b \rangle$
Group brackets (used for program control)	{a}	$a$
Scalable round brackets (add the word "left" before a left bracket and "right" before a right bracket)	left ( stack{a # b # z} right )	$\begin{pmatrix} a \\ b \\ z \end{pmatrix}$
Square brackets scalable (as above)	left [ stack{ x # y} right ]	$\begin{bmatrix} x \\ y \end{bmatrix}$
Double square brackets scalable	left ldbracket c right rdbracket	$[ \! [ c ] \! ]$
Line scalable	left lline a right rline	$\vert a \vert$
Double line scalable	left ldline d right rdline	$\Vert a \Vert$
Brace scalable	left lbrace e right rbrace	${a}$
Angle bracket scalable	left langle f right rangle	$\langle f \rangle$
Operator brackets scalable	left langle g mline h right rangle	$\langle g\|h \rangle$
Over brace scalable	{The brace is above} overbrace a	$\overbrace{}^{a}$
Under brace scalable	{the brace is below}underbrace {f}	$\underbrace{}_{f}$

Formats

Operation

Command

Display

Left superscript

a lsup{b}

${}^b\!a$

Center superscript

a csup{b}

$\overset{b}{a}$

Right superscript

a^{b}

$a^b\,\!$

Left subscript

a lsub{b}

${}_b a \,\!$

Center subscript

a csub{b}

$\underset{b}{a}$

Right subscript

a_{b}

$a_b\,\!$

Align character to left (text is aligned center by default)

stack { Hello world # alignl (a) }

Hello world
(a)

Align character to center

stack{Hello world # alignc(a)}

Hello world
(a)

Align character to right

stack { Hello world # alignr(a)}

Hello world
(a)

Vertical stack of 2

binom{a}{b}

$\begin{matrix} a \\ b \end{matrix}$

Vertical stack, more than 2

stack{a # b # z}

$\begin{matrix}a \\ b \\ z \end{matrix}$

Matrix

matrix{
a # b ##
c # d
}

$\begin{matrix}a & b \\ c & d \end{matrix}$

Equations aligned at '=' (using 'matrix')

matrix{
a # "=" # alignl{b} ##
{} # "=" # alignl{c+1}
}

$\begin{align}a & = b \\ {} & = c+1 \end{align}$

Equations aligned at '=' (using 'phantom')

stack{
alignl{a} = b #
alignl{phantom{a} = c+1}
}

$\begin{align}a & = b \\ {} & = c+1 \end{align}$

New line

asldkfjo newline sadkfj

asldkfjo
sadkfj

Small gap (grave)

stuff `stuff

${stu\!f\!\!f} ~ {stu\!f\!\!f}$

Large gap (tilde)

stuff~stuff

${stu\!f\!\!f} \quad {stu\!f\!\!f}$

Characters – Greek

Code	Display	Code	Display	Code	Display	Code	Display	Code	Display
%ALPHA	Α	%BETA	Β	%CHI	Χ	%DELTA	Δ	%EPSILON	Ε
%ETA	Η	%GAMMA	Γ	%IOTA	Ι	%KAPPA	Κ	%LAMBDA	Λ
%MU	Μ	%NU	Ν	%OMEGA	Ω	%OMICRON	Ο	%PHI	Φ
%PI	Π	%PSI	Ψ	%RHO	Ρ	%SIGMA	Σ	%THETA	Θ
%UPSILON	Υ	%XI	Ξ	%ZETA	Ζ
%alpha	α	%beta	β	%chi	χ	%delta	δ	%epsilon	ε
%eta	η	%gamma	γ	%iota	ι	%kappa	κ	%lambda	λ
%mu	μ	%nu	ν	%omega	ω	%omicron	ο	%phi	φ
%pi	π	%rho	ρ	%sigma	σ	%tau	τ	%theta	θ
%upsilon	υ	%varepsilon	$\varepsilon$	%varphi	$\varphi$	%varpi	$\varpi$	%varrho	$\varrho$
%varsigma	$\varsigma$	%vartheta	$\vartheta$	%xi	ξ	%zeta	ζ

Characters – Special

%and $\and$	%angle $\angle$	%element $\in$	%identical $\equiv\,\!$
%infinite $\infin\,\!$	%noelement $\notin$	%notequal $\ne\,\!$	%or $\or$
%perthousand ‰	%strictlygreaterthan $\gg$	%strictlylessthan $\ll$	%tendto $\to\,\!$