Latex Symbols - Short.pdf

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L A T E XMathematicalSymbols
ThemoreunusualsymbolsarenotdefinedinbaseL A T E X(NFSS)andrequire \usepackage{amssymb}
1GreekandHebrewletters
\alpha \kappa \psi z \digamma \Delta \Theta
\beta \lambda \rho " \varepsilon \Gamma \Upsilon
\chi µ \mu \sigma { \varkappa \Lambda \Xi
\delta \nu \tau ' \varphi \Omega
\epsilon o o \theta $ \varpi \Phi @ \aleph
\eta ! \omega \upsilon % \varrho \Pi i \beth
\gamma \phi \xi & \varsigma \Psi k \daleth
\iota \pi \zeta # \vartheta \Sigma j \gimel
2L A T E Xmathconstructs
abc
− abc \overrightarrow {abc}
−
abc \overleftarrow {abc}
p
f 0 f’ abc \underline {abc}
z}|{
abc \overbrace {abc}
abc \sqrt {abc} c abc \widehat {abc}
n p
abc \sqrt[n] {abc} f abc \widetilde {abc} abc
|{z} \underbrace {abc}
3Delimiters
| | { \{ b \lfloor / / * \Uparrow x \llcorner
| \vert } \} c \rfloor \ \backslash " \uparrow y \lrcorner
k \| h \langle d \lceil [ [ + \Downarrow p \ulcorner
k \Vert i \rangle e \rceil ] ] # \downarrow q \urcorner
Usethepair \left s 1 and \right s 2 tomatchheightofdelimiterss 1 ands 2 totheheightoftheircontents,e.g.,
\left| expr \right| \left\{ expr \right\} \left\Vert expr \right.
4Variable-sizedsymbols(displayedformulaeshowlargerversion)
P \sum R \int U \biguplus L \bigoplus W \bigvee
` \coprod RR \iint S \bigcup J \bigodot F \bigsqcup
5StandardFunctionNames
FunctionnamesshouldappearinRoman,notItalic,e.g., Correct: \tan(at-n\pi) −!tan(at−n)
Incorrect: tan(at-n\pi) −! tan(at−n)
arccos \arccos arcsin \arcsin arctan \arctan arg \arg
cos \cos cosh \cosh cot \cot coth \coth
csc \csc deg \deg det \det dim \dim
exp \exp gcd \gcd hom \hom inf \inf
ker \ker lg \lg lim \lim liminf \liminf
limsup \limsup ln \ln log \log max \max
min \min Pr \Pr sec \sec sin \sin
sinh \sinh sup \sup tan \tan tanh \tanh
xyz \frac {abc}{xyz} abc \overline {abc}
Q \prod H \oint T \bigcap N \bigotimes V \bigwedge
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6BinaryOperation/RelationSymbols
\ast ± \pm \ \cap C \lhd
? \star \mp [ \cup B \rhd
· \cdot q \amalg ] \uplus / \triangleleft
\circ \odot u \sqcap . \triangleright
• \bullet \ominus t \sqcup E \unlhd
\bigcirc \oplus ^ \wedge D \unrhd
\diamond \oslash _ \vee 5 \bigtriangledown
× \times \otimes † \dagger 4 \bigtriangleup
÷ \div o \wr ‡ \ddagger \ \setminus
\centerdot \Box Z \barwedge Y \veebar
~ \circledast \boxplus f \curlywedge g \curlyvee
} \circledcirc \boxminus e \Cap d \Cup
\circleddash \boxtimes ? \bot > \top
u \dotplus \boxdot | \intercal i \rightthreetimes
> \divideontimes \square [ \doublebarwedge h \leftthreetimes
\equiv \leq \geq ? \perp
= \cong \prec \succ | \mid
6= \neq \preceq \succeq k \parallel
\sim \ll \gg ./ \bowtie
' \simeq \subset \supset n \Join
\approx \subseteq \supseteq n \ltimes
\asymp @ \sqsubset A \sqsupset o \rtimes
. = \doteq v \sqsubseteq w \sqsupseteq ^ \smile
/ \propto a \dashv ` \vdash _ \frown
|= \models 2 \in 3 \ni 2 \notin
u \approxeq 5 \leqq = \geqq 7 \lessgtr
s \thicksim 6 \leqslant > \geqslant Q \lesseqgtr
v \backsim / \lessapprox ' \gtrapprox S \lesseqqgtr
w \backsimeq n \lll o \ggg T \gtreqqless
, \triangleq l \lessdot m \gtrdot R \gtreqless
$ \circeq . \lesssim & \gtrsim ? \gtrless
l \bumpeq 0 \eqslantless 1 \eqslantgtr \backepsilon
m \Bumpeq - \precsim % \succsim G \between
+ \doteqdot w \precapprox v \succapprox t \pitchfork
t \thickapprox b \Subset c \Supset p \shortmid
; \fallingdotseq j \subseteqq k \supseteqq a \smallfrown
: \risingdotseq @ \sqsubset A \sqsupset ` \smallsmile
_ \varpropto 4 \preccurlyeq < \succcurlyeq \Vdash
) \therefore 2 \curlyeqprec 3 \curlyeqsucc \vDash
* \because J \blacktriangleleft I \blacktriangleright \Vvdash
P \eqcirc E \trianglelefteq D \trianglerighteq q \shortparallel
6= \neq C \vartriangleleft B \vartriangleright / \nshortparallel
\ncong
\nleq
\ngeq
* \nsubseteq
- \nmid
\nleqq
\ngeqq
+ \nsupseteq
, \nparallel
\nleqslant
\ngeqslant
" \nsubseteqq
. \nshortmid
\nless
\ngtr
# \nsupseteqq
/ \nshortparallel \nprec
\nsucc
( \subsetneq
\nsim
\npreceq
\nsucceq
) \supsetneq
3 \nVDash
\precnapprox \succnapprox $ \subsetneqq
2 \nvDash
\precnsim
\succnsim
% \supsetneqq
0 \nvdash
\lnapprox
\gnapprox
\varsubsetneq
6 \ntriangleleft \lneq
\gneq
! \varsupsetneq
5 \ntrianglelefteq \lneqq
\gneqq
& \varsubsetneqq
7 \ntriangleright \lnsim
\gnsim
' \varsupsetneqq
4 \ntrianglerighteq \lvertneqq
\gvertneqq
7Arrowsymbols
\leftarrow − \longleftarrow " \uparrow
( \Leftarrow (= \Longleftarrow * \Uparrow
! \rightarrow −! \longrightarrow # \downarrow
) \Rightarrow =) \Longrightarrow + \Downarrow
$ \leftrightarrow ! \longleftrightarrow l \updownarrow
, \Leftrightarrow () \Longleftrightarrow m \Updownarrow
7! \mapsto 7−! \longmapsto % \nearrow
- \hookleftarrow ,! \hookrightarrow & \searrow
( \leftharpoonup * \rightharpoonup . \swarrow
) \leftharpoondown + \rightharpoondown - \nwarrow
\rightleftharpoons \leadsto
99K \dashrightarrow L99 \dashleftarrow \leftleftarrows
\leftrightarrows W \Lleftarrow \twoheadleftarrow
\leftarrowtail " \looparrowleft \leftrightharpoons
x \curvearrowleft \circlearrowleft \Lsh
\upuparrows \upharpoonleft \downharpoonleft
( \multimap ! \leftrightsquigarrow \rightrightarrows
\rightleftarrows \rightrightarrows \rightleftarrows
\twoheadrightarrow \rightarrowtail # \looparrowright
\rightleftharpoons y \curvearrowright \circlearrowright
\Rsh \downdownarrows \upharpoonright
\downharpoonright \rightsquigarrow
8 \nleftarrow
9 \nrightarrow
: \nLeftarrow
; \nRightarrow
= \nleftrightarrow
< \nLeftrightarrow
8Miscellaneoussymbols
1 \infty 8 \forall k \Bbbk } \wp
r \nabla 9 \exists F \bigstar \ \angle
@ \partial @ \nexists \diagdown ] \measuredangle
ð \eth ; \emptyset \diagup ^ \sphericalangle
| \clubsuit ? \varnothing \Diamond { \complement
} \diamondsuit ı \imath
` \Finv O \triangledown
~ \heartsuit | \jmath
a \Game 4 \triangle
\spadesuit ` \ell
RRRR \iiiint
~ \hbar M \vartriangle
··· \cdots
} \hslash \blacklozenge
. . . \vdots
RRR \iiint \lozenge \blacksquare
... \ldots RR \iint f \mho N \blacktriangle
. . . \ddots ] \sharp 0 \prime H \blacktrinagledown
= \Im [ \flat \square 8 \backprime
< \Re \ \natural p \surd s \circledS
9Mathmodeaccents
´a \acute {a} ¯a \bar {a} ´ ´ A \Acute{\Acute{A}} ¯ ¯ A \Bar{\Bar{A}}
˘a \breve {a} ˇa \check {a} ˘ ˘ A \Breve{\Breve{A}} ˇ ˇ A \Check{\Check{A}}
¨a \ddot {a} ˙a \dot {a} ¨ ¨ A \Ddot{\Ddot{A}} ˙ ˙ A \Dot{\Dot{A}}
`a \grave {a} ˆa \hat {a} ` ` A \Grave{\Grave{A}} ˆ ˆ A \Hat{\Hat{A}}
˜a \tilde {a} a \vec {a} ˜ ˜ A \Tilde{\Tilde{A}} A \Vec{\Vec{A}}
10Arrayenvironment,examples
Simplestversion: \begin{array}{ cols } row 1 \\ row 2 \\ ...row m \end{array}
wherecolsincludesonecharacter[ lrc ]foreachcolumn(withoptionalcharacters | insertedforverticallines)
androw j includescharacter & atotalof(n−1)timestoseparatethenelementsintherow.Examples:
\left(\begin{array}{cc}2\tau&7\phi-frac5{12}\\
3\psi&\frac{\pi}8\end{array}\right)
\left(\begin{array}{c}x\\y\end{array}\right)
\mbox{~and~}\left[\begin{array}{cc|r}
3&4&5\\1&3&729\end{array}\right]
2 7− 5 12
3 8
x
y
and
34 5
13729
f(z)= \left\{\begin{array}{rcl}
\overline{\overline{z^2}+\cosz}&\mbox{for}
&|z|<3\\0&\mbox{for}&3\leq|z|\leq5\\
\sin\overline{z}&\mbox{for}&|z|>5
\end{array}\right.
8
<
z 2 +cosz for |z| <3
0 for3|z|5
sinz for |z| >5
f(z)=
:
11OtherStyles(mathmodeonly)
Caligraphicletters: $\mathcal{A}$ etc.:ABCDEFGHIJ KLMNOPQRST UVWXYZ
Mathbbletters: $\mathbb{A}$ etc.:ABCDEFGHIJKLMNOPQRSTUVWXYZ
Mathfrakletters: $\mathfrak{A}$ etc.:ABCDEFGHIJKLMNOPQRSTUVWXYZabc123
MathSansserifletters: $\mathsf{A}$ etc.:ABCDEFGHIJKLMNOPQRSTUVWXYZabc123
Mathboldletters: $\mathbf{A}$ etc.:ABCDEFGHIJKLMNOPQRSTUVWXYZabc123
Mathbolditalicletters:define \def\mathbi#1{\textbf{\em#1}} thenuse $\mathbi{A}$ etc.:
ABCDEFGHIJKLMNOPQRSTUVWXYZabc123
12Fontsizes
Z
MathMode:
f −1 (x−x a )dx ${\displaystyle\intf^{-1}(x-x_a)\,dx}$
R f −1 (x−x a )dx ${\textstyle\intf^{-1}(x-x_a)\,dx}$
R f − 1 (x−x a )dx ${\scriptstyle\intf^{-1}(x-x_a)\,dx}$
R f − 1 (x − x a )dx ${\scriptscriptstyle\intf^{-1}(x-x_a)\,dx}$
TextMode:
\tiny = smallest
\scriptsize = verysmall
\footnotesize = smaller
\small = small
\normalsize =normal
\large = large
\Large = Large
\LARGE = LARGE
\huge = huge
\Huge = Huge
13TextMode:AccentsandSymbols
´o \’{o} ¨o \"{o} ˆo \^{o} `o \‘{o} ˜o \~{o} ¯o \={o} s . \ds
˙o \.{o} ˘o \u{o} ˝o \H{o} oo \t{oo} ¸o \c{o} o . \d{o} ˚s \rs
o ¯ \b{o} ˚ A \AA ˚a \aa ß \ss ı \i \j ˝s \Hs
ø \o s \ts ˇs \vs Ø \O \P § \S
æ \ae Æ \AE † \dag ‡ \ddag c \copyright £\pounds
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