3.9 List of Mathematical Symbols

[Pages:7]3.9 List of Mathematical Symbols

45

3.9 List of Mathematical Symbols

In the following tables you find all the symbols normally accessible from math mode.

To use the symbols listed in Tables 3.12?3.165, the package amssymb must be loaded in the preamble of the document and the AMS math fonts must be installed on the system. If the AMS package and fonts are not installed, on your system, have a look at CTAN:/tex-archive/macros/latex/packages/amslatex

a^ \hat{a} a` \grave{a} a? \bar{a}

Table 3.1: Math Mode Accents

a \check{a} a \dot{a} a \vec{a}

a~ \tilde{a} a? \ddot{a} A \widehat{A}

a? \acute{a} a \breve{a} A \widetilde{A}

Table 3.2: Lowercase Greek Letters

\alpha \beta \gamma \delta

\epsilon \varepsilon \zeta \eta

\theta \vartheta \iota \kappa \lambda ? \mu \nu \xi

oo \pi

\varpi \rho

\varrho \sigma \varsigma \tau

\upsilon \phi \varphi \chi \psi \omega

Table 3.3: Uppercase Greek Letters

\Gamma \Delta \Theta

\Lambda \Xi \Pi

\Sigma \Upsilon \Phi

\Psi \Omega

5These tables were derived from symbols.tex by David Carlisle and subsequently changed extensively as suggested by Josef Tkadlec

46

Typesetting Mathematical Formulae

Table 3.4: Binary Relations

You can produce corresponding negations by adding a \not command as prefix to the following symbols.

> \geq or \ge

\gg \succ \succeq \supset \supseteq ? \sqsupset a \sqsupseteq \ni , \owns \dashv \parallel \frown / \notin

== \equiv =. \doteq \sim

\simeq \approx = \cong ? \Join a

\bowtie \propto |= \models \perp

\asymp = \neq or \ne

aUse the latexsym package to access this symbol

Table 3.5: Binary Operators

++

? \pm

? \cdot

? \times

\cup

\sqcup

\vee , \lor

\oplus

\odot

\otimes

\bigtriangleup

?

\lhd a

? \unlhd a

--

\mp

? \div

\ \setminus

\cap

\sqcap

\wedge , \land

\ominus

\oslash

\bigcirc

\bigtriangledown

?

\rhd a

? \unrhd a

\triangleleft \triangleright \star \ast \circ ? \bullet \diamond \uplus \amalg \dagger \ddagger \wr

3.9 List of Mathematical Symbols

47

\sum \prod \coprod \int

Table 3.6: BIG Operators

\bigcup \bigcap \bigsqcup \oint

\bigvee \bigwedge

\bigoplus \bigotimes \bigodot \biguplus

Table 3.7: Arrows

\leftarrow or \gets - \longleftarrow

\uparrow

\rightarrow or \to - \longrightarrow

\downarrow

\leftrightarrow

\longleftrightarrow

\updownarrow

\Leftarrow

= \Longleftarrow

\Uparrow

\Rightarrow

= \Longrightarrow

\Downarrow

\Leftrightarrow

\Longleftrightarrow

\Updownarrow

\mapsto

- \longmapsto

\nearrow

\hookleftarrow

\hookrightarrow

\searrow

\leftharpoonup

\rightharpoonup

\swarrow

\leftharpoondown

\rightharpoondown

\rightleftharpoons \iff (bigger spaces)

\nwarrow \leadsto a

?

aUse the latexsym package to access this symbol

Table 3.8: Delimiters

((

))

\uparrow

\Uparrow

[ [ or \lbrack ] ] or \rbrack \downarrow

\Downarrow

{ \{ or \lbrace } \} or \rbrace

\updownarrow

\Updownarrow

\langle

\rangle

| | or \vert

\| or \Vert

\lfloor

\rfloor

\lceil

\rceil

//

\ \backslash

. (dual. empty)

Table 3.9: Large Delimiters

\lgroup

\rgroup

\lmoustache \rmoustache

| \arrowvert

\Arrowvert \bracevert

48

Typesetting Mathematical Formulae

Table 3.10: Miscellaneous Symbols

. . . \dots \hbar \Re

\forall '

\nabla \bot \diamondsuit ? \neg or \lnot

? ? ? \cdots i \imath

\Im \exists

\prime \triangle \top \heartsuit \flat

... \vdots \jmath \aleph

\mho a

?

\emptyset \Box a

?

\angle

?

\clubsuit \natural

aUse the latexsym package to access this symbol

. . . \ddots

\ell

\wp

\partial

\infty

?

\Diamond a

\surd

\spadesuit

\sharp

Table 3.11: Non-Mathematical Symbols

These symbols can also be used in text mode. \dag ? \S c \copyright \ddag ? \P ? \pounds

Table 3.12: AMS Delimiters

? \ulcorner

\urcorner

\llcorner

\lrcorner

?

?

?

Table 3.13: AMS Greek and Hebrew

? \digamma

\varkappa

\beth

\daleth

\gimel

3.9 List of Mathematical Symbols

49

Table 3.14: AMS Binary Relations

? \lessdot

? ?

\leqslant \eqslantless

\leqq \lll or \llless

\lesssim

! \lessapprox

$ \lessgtr

' \lesseqgtr

0 3

\lesseqqgtr \preccurlyeq

6 \curlyeqprec

9 \precsim

B \precapprox

E

\subseteqq \Subset

? \gtrdot ? \geqslant ? \eqslantgtr \geqq \ggg or \gggtr \gtrsim \gtrapprox " \gtrless % \gtreqless ( \gtreqqless

1 \succcurlyeq 4 \curlyeqsucc 7 \succsim @ \succapprox C \supseteqq F \Supset

? \doteqdot or \Doteq ? \risingdotseq ? \fallingdotseq \eqcirc \circeq \triangleq

\bumpeq

# \Bumpeq & \thicksim ) \thickapprox 2 \approxeq 5 \backsim 8 \backsimeq A \vDash D \Vdash G \Vvdash

\sqsubset

? \sqsupset

H \backepsilon

I \therefore

P \because

Q \varpropto

R \shortmid

S \shortparallel

T \between

U \smallsmile

V \smallfrown

W \pitchfork

X a

\vartriangleleft Y \trianglelefteq b

\vartriangleright ` \trianglerighteq c

\blacktriangleleft \blacktriangleright

Table 3.15: AMS Arrows

dfege r

u

\dashleftarrow \leftleftarrows

x

\leftrightarrows \Lleftarrow

ehepi \dashrightarrow

q

s \rightrightarrows t

v \rightleftarrows

w

y \Rrightarrow

\twoheadleftarrow

\twoheadrightarrow

\leftarrowtail

\leftrightharpoons

\Lsh

\looparrowleft

\rightarrowtail

\rightleftharpoons

\Rsh

\looparrowright

\curvearrowleft

\circlearrowleft

\curvearrowright \circlearrowright

\multimap \upuparrows \downdownarrows \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightsquigarrow \leftrightsquigarrow

50

Typesetting Mathematical Formulae

Table 3.16: AMS Negated Binary Relations and Arrows

\nless

\ngtr

?

\varsubsetneqq

?

? \lneq

\gneq

?

\varsupsetneqq

?

?

\nleq

\ngeq

?

\nsubseteqq

?

?

\nleqslant

\ngeqslant

\nsupseteqq

\lneqq

\gneqq

\nmid

\lvertneqq

\nleqq

\gvertneqq

\ngeqq

\nparallel

\nshortmid

!

\lnsim

\gnsim

"

\nshortparallel

#

$

\lnapprox

\gnapprox

%

\nsim

&

'

\nprec

\nsucc

(

\ncong

)

0

\npreceq

\nsucceq

1

\nvdash

2

3

\precneqq

\succneqq

4

\nvDash

5

6

\precnsim

\succnsim

7

\nVdash

8

9

\precnapprox

\succnapprox

\nVDash

@

A

B \subsetneq

\supsetneq

C

\ntriangleleft

D

E \varsubsetneq

\varsupsetneq

\ntriangleright

F

G

H

\nsubseteq

\nsupseteq

I

\ntrianglelefteq

P

Q

\subsetneqq

\supsetneqq

R

\ntrianglerighteq

S

T \nleftarrow W \nLeftarrow

\nrightarrow

\nleftrightarrow

U

V

\nRightarrow

\nLeftrightarrow

X

Y

Table 3.17: AMS Binary Operators

`

\dotplus

\centerdot

a

\intercal

b

c \ltimes

\rtimes

d

\divideontimes

e

f \Cup or \doublecup

\Cap or \doublecap

\smallsetminus

g

h

i

\veebar

\barwedge

p

\doublebarwedge

q

r \boxplus

\boxminus

s

\circleddash

t

u \boxtimes

\boxdot

v

\circledcirc

w

x \leftthreetimes

\rightthreetimes

\circledast

y

\curlyvee

\curlywedge

3.9 List of Mathematical Symbols

51

Table 3.18: AMS Miscellaneous

??? ? "

\hbar \square \vartriangle \triangledown \lozenge \angle \diagup

???

\nexists

\hslash \blacksquare \blacktriangle \blacktriangledown \blacklozenge \measuredangle \diagdown \Finv

?!??

\Bbbk \circledS \complement \Game \bigstar \sphericalangle \backprime \varnothing

\eth

\mho

?

Table 3.19: Math Alphabets

Example Command

Required package

ABCdef \mathrm{ABCdef}

ABCdef \mathit{ABCdef}

ABCdef \mathnormal{ABCdef}

(0A#%)2B$'C1 &

\mathcal{ABC} \mathcal{ABC}

\mathcal{ABC}

mathrsfs eucal with option: mathcal or

35DFEH47G 698A@CB

\mathscr{ABC} \mathfrak{ABCdef} \mathbb{ABC}

eucal with option: mathscr eufrak amsfonts or amssymb

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download