![L
ATEX Mathematical Symbols
The more unusual symbols are not defined in base L
A
TEX (NFSS) and require usepackage{amssymb}
1 Greek and Hebrew letters
α alpha κ kappa ψ psi z digamma ? Delta Θ Theta
β beta λ lambda ρ rho ε varepsilon Γ Gamma Υ Upsilon
χ chi ? mu σ sigma κ varkappa Λ Lambda Ξ Xi
δ delta ν nu τ tau ? varphi ? Omega
epsilon o o θ theta $ varpi Φ Phi ? aleph
η eta ω omega υ upsilon % varrho Π Pi i beth
γ gamma φ phi ξ xi ? varsigma Ψ Psi k daleth
ι iota π pi ζ zeta ? vartheta Σ Sigma ??? gimel
2 L
A
TEX math constructs
abc
xyz frac{abc}{xyz} abc overline{abc}
?
★
abc overrightarrow{abc}
f0
f¨ abc underline{abc}
○
?
abc overleftarrow{abc}
〔
abc sqrt{abc} c
abc widehat{abc}
z}|{
abc overbrace{abc}
n
〔
abc sqrt[n]{abc} f
abc widetilde{abc} abc
|{z} underbrace{abc}
3 Delimiters
| | { { 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
Use the pair lefts1 and rights2 to match height of delimiters s1 and s2 to the height of their contents, e.g.,
left| expr right| left{ expr right} leftVert expr right.
4 Variable-sized symbols (displayed formulae show larger version)
P
sum
R
int
U
biguplus
L
bigoplus
W
bigvee
Q
prod
H
oint
T
bigcap
N
bigotimes
V
bigwedge
`
coprod
RR
iint
S
bigcup
J
bigodot
F
bigsqcup
5 Standard Function Names
Function names should appear in Roman, not Italic, e.g.,
Correct: tan(at-npi) ?★ tan(at ? nπ)
Incorrect: tan(at-npi) ?★ tan(at ? nπ)
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 lim inf liminf
lim sup limsup ln ln log log max max
min min Pr Pr sec sec sin sin
sinh sinh sup sup tan tan tanh tanh](https://image.slidesharecdn.com/latexsymbols-230814140406-60461465/85/Latex-Symbols-pdf-1-320.jpg)
![6 Binary Operation/Relation Symbols
? 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 o
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 （ in 3 ni /
（ notin
u approxeq 5 leqq = geqq ? lessgtr
゛ thicksim 6 leqslant geqslant Q lesseqgtr
v backsim / lessapprox ' gtrapprox S lesseqqgtr
w backsimeq ? lll ? 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
「 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](https://image.slidesharecdn.com/latexsymbols-230814140406-60461465/85/Latex-Symbols-pdf-2-320.jpg)
![7 Arrow symbols
○ 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
8 Miscellaneous symbols
± infty ? forall k Bbbk ? wp
? nabla ? exists F bigstar ］ angle
? partial @ nexists diagdown ] measuredangle
? eth ? emptyset diagup ^ sphericalangle
? clubsuit ? varnothing ? Diamond { complement
? diamondsuit ? imath ` Finv O triangledown
? heartsuit ? jmath a Game 4 triangle
? spadesuit ` ell ~ hbar M vartriangle
， ， ， cdots
RRRR
iiiint } 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
〔
surd s circledS
9 Math mode accents
a? acute{a} a? bar{a}
?
A? Acute{Acute{A}} ?
A? Bar{Bar{A}}
a? breve{a} a? check{a}
?
A? Breve{Breve{A}} ・
A? Check{Check{A}}
a? ddot{a} a? dot{a} ：
A? Ddot{Ddot{A}} B
A? Dot{Dot{A}}
a? grave{a} a? hat{a}
`
A? Grave{Grave{A}}
?
A? Hat{Hat{A}}
a? tilde{a} ~
a vec{a} ?
A? Tilde{Tilde{A}}
~
~
A Vec{Vec{A}}](https://image.slidesharecdn.com/latexsymbols-230814140406-60461465/85/Latex-Symbols-pdf-3-320.jpg)
![10 Array environment, examples
Simplest version: begin{array}{cols} row1 row2 . . . rowm end{array}
where cols includes one character [lrc] for each column (with optional characters | inserted for vertical lines)
and rowj includes character a total of (n ? 1) times to separate the n elements in the row. Examples:
left( begin{array}{cc} 2tau 7phi-frac5{12}
3psi 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]
2τ 7φ ? 5
12
3ψ π
8
x
y
and
3 4 5
1 3 729
f(z) = left{ begin{array}{rcl}
overline{overline{z^2}+cos z} mbox{for}
|z|3 0 mbox{for} 3leq|z|leq5
sinoverline{z} mbox{for} |z|5
end{array}right.
f(z) =
?
?
?
z2 + cos z for |z| 3
0 for 3 ＋ |z| ＋ 5
sin z for |z| 5
11 Other Styles (math mode only)
Caligraphic letters: $mathcal{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Mathbb letters: $mathbb{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Mathfrak letters: $mathfrak{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math Sans serif letters: $mathsf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math bold letters: $mathbf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
Math bold italic letters: define defmathbi#1{textbf{em #1}} then use $mathbi{A}$ etc.:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3
12 Font sizes
Math Mode:
Z
f?1
(x ? xa) dx ${displaystyle int f^{-1}(x-x_a),dx}$
R
f?1
(x ? xa) dx ${textstyle int f^{-1}(x-x_a),dx}$
R
f?1
(x?xa) dx ${scriptstyle int f^{-1}(x-x_a),dx}$
R
f?1(x?xa) dx ${scriptscriptstyle int f^{-1}(x-x_a),dx}$
Text Mode:
tiny = smallest
scriptsize = very small
footnotesize = smaller
small = small
normalsize = normal
large = large
Large = Large
LARGE = LARGE
huge = huge
Huge = Huge
13 Text Mode: Accents and Symbols
o? ¨{o} o? {o} o? ^{o} o? ｀{o} o? ~{o} o? ={o} s
. d s
o? .{o} o? u{o} o? H{o}
oo t{oo} o? c{o} o
. d{o} s? r s
o
?
b{o} A? AA a? aa ? ss ? i ? j s? H s
? o
s t s s? v s ? O ? P ′ S
? ae ? AE ? dag ? ddag c copyright ? pounds](https://image.slidesharecdn.com/latexsymbols-230814140406-60461465/85/Latex-Symbols-pdf-4-320.jpg)
Latex Symbols.pdf
- 1. L ATEX Mathematical Symbols The more unusual symbols are not defined in base L A TEX (NFSS) and require usepackage{amssymb} 1 Greek and Hebrew letters α alpha κ kappa ψ psi z digamma ? Delta Θ Theta β beta λ lambda ρ rho ε varepsilon Γ Gamma Υ Upsilon χ chi ? mu σ sigma κ varkappa Λ Lambda Ξ Xi δ delta ν nu τ tau ? varphi ? Omega epsilon o o θ theta $ varpi Φ Phi ? aleph η eta ω omega υ upsilon % varrho Π Pi i beth γ gamma φ phi ξ xi ? varsigma Ψ Psi k daleth ι iota π pi ζ zeta ? vartheta Σ Sigma ??? gimel 2 L A TEX math constructs abc xyz frac{abc}{xyz} abc overline{abc} ? ★ abc overrightarrow{abc} f0 f¨ abc underline{abc} ○ ? abc overleftarrow{abc} 〔 abc sqrt{abc} c abc widehat{abc} z}|{ abc overbrace{abc} n 〔 abc sqrt[n]{abc} f abc widetilde{abc} abc |{z} underbrace{abc} 3 Delimiters | | { { 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 Use the pair lefts1 and rights2 to match height of delimiters s1 and s2 to the height of their contents, e.g., left| expr right| left{ expr right} leftVert expr right. 4 Variable-sized symbols (displayed formulae show larger version) P sum R int U biguplus L bigoplus W bigvee Q prod H oint T bigcap N bigotimes V bigwedge ` coprod RR iint S bigcup J bigodot F bigsqcup 5 Standard Function Names Function names should appear in Roman, not Italic, e.g., Correct: tan(at-npi) ?★ tan(at ? nπ) Incorrect: tan(at-npi) ?★ tan(at ? nπ) 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 lim inf liminf lim sup limsup ln ln log log max max min min Pr Pr sec sec sin sin sinh sinh sup sup tan tan tanh tanh
- 2. 6 Binary Operation/Relation Symbols ? 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 o 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 （ in 3 ni / （ notin u approxeq 5 leqq = geqq ? lessgtr ゛ thicksim 6 leqslant geqslant Q lesseqgtr v backsim / lessapprox ' gtrapprox S lesseqqgtr w backsimeq ? lll ? 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 「 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
- 3. 7 Arrow symbols ○ 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 8 Miscellaneous symbols ± infty ? forall k Bbbk ? wp ? nabla ? exists F bigstar ］ angle ? partial @ nexists diagdown ] measuredangle ? eth ? emptyset diagup ^ sphericalangle ? clubsuit ? varnothing ? Diamond { complement ? diamondsuit ? imath ` Finv O triangledown ? heartsuit ? jmath a Game 4 triangle ? spadesuit ` ell ~ hbar M vartriangle ， ， ， cdots RRRR iiiint } 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 〔 surd s circledS 9 Math mode accents a? acute{a} a? bar{a} ? A? Acute{Acute{A}} ? A? Bar{Bar{A}} a? breve{a} a? check{a} ? A? Breve{Breve{A}} ・ A? Check{Check{A}} a? ddot{a} a? dot{a} ： A? Ddot{Ddot{A}} B A? Dot{Dot{A}} a? grave{a} a? hat{a} ` A? Grave{Grave{A}} ? A? Hat{Hat{A}} a? tilde{a} ~ a vec{a} ? A? Tilde{Tilde{A}} ~ ~ A Vec{Vec{A}}
- 4. 10 Array environment, examples Simplest version: begin{array}{cols} row1 row2 . . . rowm end{array} where cols includes one character [lrc] for each column (with optional characters | inserted for vertical lines) and rowj includes character a total of (n ? 1) times to separate the n elements in the row. Examples: left( begin{array}{cc} 2tau 7phi-frac5{12} 3psi 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] 2τ 7φ ? 5 12 3ψ π 8 x y and 3 4 5 1 3 729 f(z) = left{ begin{array}{rcl} overline{overline{z^2}+cos z} mbox{for} |z|3 0 mbox{for} 3leq|z|leq5 sinoverline{z} mbox{for} |z|5 end{array}right. f(z) = ? ? ? z2 + cos z for |z| 3 0 for 3 ＋ |z| ＋ 5 sin z for |z| 5 11 Other Styles (math mode only) Caligraphic letters: $mathcal{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Mathbb letters: $mathbb{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Mathfrak letters: $mathfrak{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3 Math Sans serif letters: $mathsf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3 Math bold letters: $mathbf{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3 Math bold italic letters: define defmathbi#1{textbf{em #1}} then use $mathbi{A}$ etc.: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c 1 2 3 12 Font sizes Math Mode: Z f?1 (x ? xa) dx ${displaystyle int f^{-1}(x-x_a),dx}$ R f?1 (x ? xa) dx ${textstyle int f^{-1}(x-x_a),dx}$ R f?1 (x?xa) dx ${scriptstyle int f^{-1}(x-x_a),dx}$ R f?1(x?xa) dx ${scriptscriptstyle int f^{-1}(x-x_a),dx}$ Text Mode: tiny = smallest scriptsize = very small footnotesize = smaller small = small normalsize = normal large = large Large = Large LARGE = LARGE huge = huge Huge = Huge 13 Text Mode: Accents and Symbols o? ¨{o} o? {o} o? ^{o} o? ｀{o} o? ~{o} o? ={o} s . d s o? .{o} o? u{o} o? H{o} oo t{oo} o? c{o} o . d{o} s? r s o ? b{o} A? AA a? aa ? ss ? i ? j s? H s ? o s t s s? v s ? O ? P ′ S ? ae ? AE ? dag ? ddag c copyright ? pounds