Chapter17: Mathformulas
52
\cup
[(binaryoperation)
\dagger
y(binaryoperation)
\dashv
a(relation)
\ddagger y(binaryoperation)
\Delta
Δ
\delta
\Diamond bigger
\diamond (binaryoperation)
\diamondsuit
}
\div
(binaryoperation)
\doteq
:
=(relation)
\downarrow
#(delimiter)
\Downarrow
+(delimiter)
\ell
\emptyset
;
\epsilon 
\equiv
(relation)
\eta
\exists
9
\flat
[
\forall
8
\frown
_(relation)
\Gamma
Γ
\gamma
\ge
\geq
(relation)
\gets
\gg
(relation)
\hbar
¯h
\heartsuit
~
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Chapter17: Mathformulas
53
\hookleftarrow
-
\hookrightarrow
,!
\iff
()
\Im
=
\in
2(relation)
\infty
1
\int
R
\iota
\Join
condensedbowtiesymbol(relation)
\kappa
\Lambda
Λ
\lambda
\land
^
\langle
h(delimiter)
\lbrace
f(delimiter)
\lbrack
[(delimiter)
\lceil
d(delimiter)
\le
\leadsto
\Leftarrow
(
\leftarrow
\leftharpoondown
)
\leftharpoonup
(
\Leftrightarrow
,
\leftrightarrow
$
\leq
(relation)
\lfloor
b(delimiter)
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Chapter17: Mathformulas
54
\lhd
(left-pointingarrowhead)
\ll
(relation)
\lnot
:
\longleftarrow
\longleftrightarrow
!
\longmapsto
7 !
\longrightarrow
!
\lor
_
\mapsto
7!
\mho
\mid
j(relation)
\models
j=(relation)
\mp
(binaryoperation)
\mu
\nabla
r
\natural \
\ne
6=
\nearrow %
\neg
:
\neq
6=(relation)
\ni
3(relation)
\not
Overstrikeafollowingoperatorwitha/,asin6=.
\notin
3
\nu
\nwarrow -
\odot
(binaryoperation)
\oint
H
\Omega
Ω
\omega
!
\ominus
 (binaryoperation)
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Chapter17: Mathformulas
55
\oplus
(binaryoperation)
\oslash
(binaryoperation)
\otimes
(binaryoperation)
\owns
3
\parallel
k(relation)
\partial @
\perp
?(relation)
\phi
\Pi
Π
\pi
\pm
(binaryoperation)
\prec
(relation)
\preceq
(relation)
\prime
0
\prod
Q
\propto
/(relation)
\Psi
Ψ
\psi
\rangle
i(delimiter)
\rbrace
g(delimiter)
\rbrack
](delimiter)
\rceil
e(delimiter)
\Re
<
\rfloor
c
\rhd
(binaryoperation)
\rho
\Rightarrow
)
\rightarrow
!
\rightharpoondown
+
\rightharpoonup
*
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Chapter17: Mathformulas
56
\rightleftharpoons
*
)
\searrow &
\setminus
n(binaryoperation)
\sharp
]
\Sigma
Σ
\sigma
\sim
(relation)
\simeq
’(relation)
\smallint
s
\smile
^(relation)
\spadesuit
\sqcap
u(binaryoperation)
\sqcup
t(binaryoperation)
\sqsubset
(relation)
\sqsubseteq
v(relation)
\sqsupset
(relation)
\sqsupseteq
w(relation)
\star
?(binaryoperation)
\subset
(relation)
\subseteq
(relation)
\succ
(relation)
\succeq
(relation)
\sum
P
\supset
(relation)
\supseteq
(relation)
\surd
p
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Chapter17: Mathformulas
57
\swarrow .
\tau
\theta
\times
(binaryoperation)
\to
!
\top
>
\triangle
4
\triangleleft
/(binaryoperation)
\triangleright
.(binaryoperation)
\unlhd
left-pointingarrowheadwithlineunder(binaryoperation)
\unrhd
right-pointingarrowheadwithlineunder(binaryoperation)
\Uparrow *(delimiter)
\uparrow "(delimiter)
\Updownarrow
m(delimiter)
\updownarrow
l(delimiter)
\uplus
](binaryoperation)
\Upsilon ϒ
\upsilon 
\varepsilon
"
\varphi
\varpi
$
\varrho
%
\varsigma
&
\vartheta
#
\vdash
‘(relation)
\vee
_(binaryoperation)
\Vert
k(delimiter)
Chapter17: Mathformulas
58
\vert
j(delimiter)
\wedge
^(binaryoperation)
\wp
}
\wr
o(binaryoperation)
\Xi
Ξ
\xi
\zeta
17.3 Mathfunctions
Thesecommandsproduceromanfunctionnamesinmathmodewithproperspacing.
\arccos
arccos
\arcsin
arcsin
\arctan
arctan
\arg
arg
\bmod
Binarymodulooperator(xmody)
\cos
cos
\cosh
cosh
\cot
cos
\coth
cosh
\csc
csc
\deg
deg
\det
deg
\dim
dim
\exp
exp
\gcd
gcd
\hom
hom
\inf
inf
\ker
ker
\lg
lg
\lim
lim
\liminf
liminf
\limsup
limsup
\ln
ln
Chapter17: Mathformulas
59
\log
log
\max
max
\min
min
\pmod
parenthesizedmodulus,asin( (mod2)
n
1)
\Pr
Pr
\sec
sec
\sin
sin
\sinh
sinh
\sup
sup
\tan
tan
\tanh
tanh
17.4 Mathaccents
L
A
T
E
Xprovidesavariety ofcommands for producingaccentedlettersinmath. . Theseare
differentfromaccentsinnormaltext(seeSection22.3[Accents],page74).
\acute
Mathacuteaccent: ´x.
\bar
Mathbar-overaccent: ¯x.
\breve
Mathbreveaccent: ˘x.
\check
Mathh´aˇcek(check)accent: ˇx.
\ddot
Mathdieresisaccent: ¨x.
\dot
Mathdotaccent: ˙x.
\grave
Mathgraveaccent: `x.
\hat
Mathhat(circumflex)accent:^x.
\imath
Mathdotlessi.
\jmath
Mathdotlessj.
\mathring
Mathringaccent:˚x.
\tilde
Mathtildeaccent: ~x.
\vec
Mathvectorsymbol: ~x.
\widehat Mathwidehataccent:
d
x+y.
\widehat Mathwidetildeaccent:
g
x+y.
Chapter17: Mathformulas
60
17.5 Spacinginmathmode
Inamathenvironment,L
A
T
E
Xignoresthespacesyoutypeandputsinthespacingaccording
tothe normalrules for mathematicstexts. . Ifyouwant t differentspacing,LAT
E
Xprovides
thefollowingcommandsforuseinmathmode:
\;
Athickspace(
5
18
quad).
\:
\>
Bothoftheseproduceamediumspace(
2
9
quad).
\,
Athinspace(
1
6
quad);notrestrictedtomathmode.
\!
Anegativethinspace( 
1
6
quad).
17.6 Mathmiscellany
\*
A“discretionary”multiplicationsymbol,atwhichalinebreakisallowed.
\cdots
Ahorizontalellipsiswiththedotsraisedtothecenteroftheline.Asin:‘’.
\ddots
Adiagonalellipsis:
.
.
.
.
\frac{num}{den}
Producesthefractionnumdividedbyden.
eg.
1
4
\leftdelim1...\rightdelim2
Thetwodelimitersneednotmatch;‘.’actsasanulldelimiter,producingno
output. Thedelimitersaresizedaccordingtothemathinbetween. Example:
\left(\sum_i=1^10a_i\right].
\overbrace{text}
Generatesabraceovertext. Forexample,
ktimes
z
}|
{
x++x.
\overline{text}
Generatesahorizontallineovertex.Forexampe,
x+y.
\sqrt[root]{arg}
Producestherepresentationofthesquarerootofarg. Theoptionalargument
rootdetermineswhatroottoproduce.Forexample,thecuberootofx+ywould
betypedas$\sqrt[3]{x+y}$.InT
E
X,theresultlookslikethis:
3
p
x+y.
\stackrel{text}{relation}
Putstextaboverelation. Forexample,\stackrel{f}{\longrightarrow}. In
T
E
X,theresultlookslikethis:
f
!.
\underbrace{math}
Generates mathwithabraceunderneath. . InT
E
X, the resultlooks s likethis:
x+y+z
|
{z
}
>0
.
Chapter17: Mathformulas
61
\underline{text}
Causes text,whichmaybeeither mathmodeor not,tobe underlined. . The
lineisalwaysbelowthetext,takingaccountofdescenders. InT
E
X,theresult
lookslikethis: xyz
\vdots
Producesaverticalellipsis.InT
E
X,theresultlookslikethis:
.
.
..
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