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LaTeX Math Symbols & Operators

Directory of arithmetic operators, comparisons, set theory (\in, \subset), and logic quantifiers (\forall, \exists). 1-click macro copy and package requirements.

Showing 204 of 204 symbols
Operatorsstandard
±\pm
plus-minusEditor
Operatorsstandard
∓\mp
minus-plusEditor
Operatorsstandard
×\times
multiplication crossEditor
Operatorsstandard
÷\div
division symbolEditor
Operatorsstandard
⋅\cdot
centered dotEditor
Operatorsstandard
∗\ast
asterisk operatorEditor
Operatorsstandard
⋆\star
five-pointed starEditor
Operatorsstandard
∘\circ
composition circleEditor
Operatorsstandard
∙\bullet
bullet operatorEditor
Operatorsstandard
⊕\oplus
direct sum oplusEditor
Operatorsstandard
⊖\ominus
circled minusEditor
Operatorsstandard
⊗\otimes
tensor product otimesEditor
Operatorsstandard
⊘\oslash
circled slashEditor
Operatorsstandard
⊙\odot
circled dotEditor
Operatorsstandard
◯\bigcirc
large circle operatorEditor
Operatorsstandard
†\dagger
dagger operatorEditor
Operatorsstandard
‡\ddagger
double daggerEditor
Operatorsstandard
⨿\amalg
amalgamation / coproductEditor
Operatorsstandard
∩\cap
intersection capEditor
Operatorsstandard
∪\cup
union cupEditor
Operatorsstandard
⊎\uplus
multiset unionEditor
Operatorsstandard
⊓\sqcap
square capEditor
Operatorsstandard
⊔\sqcup
square cupEditor
Operatorsstandard
∧\wedge
logical wedge andEditor
Operatorsstandard
∨\vee
logical vee orEditor
Operatorsstandard
∖\setminus
set differenceEditor
Operatorsstandard
≀\wr
wreath productEditor
Operatorsstandard
⋄\diamond
diamond operatorEditor
Operatorsstandard
△\bigtriangleup
triangle up operatorEditor
Operatorsstandard
▽\bigtriangledown
triangle down operatorEditor
Operatorsstandard
◃\triangleleft
triangle left operatorEditor
Operatorsstandard
▹\triangleright
triangle right operatorEditor
Operatorsamssymb
⊞\boxplus
boxed plusEditor
Operatorsamssymb
⊟\boxminus
boxed minusEditor
Operatorsamssymb
⊠\boxtimes
boxed timesEditor
Operatorsamssymb
⊡\boxdot
boxed dotEditor
Operatorsamssymb
⋇\divideontimes
division on timesEditor
Operatorsamssymb
⊺\intercal
intercal operatorEditor
Operatorsamssymb
⋉\ltimes
left semidirect productEditor
Operatorsamssymb
⋊\rtimes
right semidirect productEditor
Operatorsamssymb
⋓\doublecup
double unionEditor
Operatorsamssymb
⋒\doublecap
double intersectionEditor
Operatorsamssymb
∖\smallsetminus
small set minusEditor
Operatorsamssymb
∔\dotplus
dot plus operatorEditor
Operatorsamssymb
⋅\centerdot
center pointEditor
Relationsstandard
≤\leq
less than or equalEditor
Relationsstandard
≥\geq
greater than or equalEditor
Relationsstandard
≠\neq
not equalEditor
Relationsstandard
≈\approx
approximately equalEditor
Relationsstandard
≡\equiv
identically equal / equivalentEditor
Relationsstandard
∼\sim
similar to / asymptoticEditor
Relationsstandard
≃\simeq
similar or equal toEditor
Relationsstandard
≅\cong
congruent toEditor
Relationsstandard
∝\propto
proportional toEditor
Relationsstandard
≪\ll
much less thanEditor
Relationsstandard
≫\gg
much greater thanEditor
Relationsstandard
⊥\perp
perpendicular orthogonalEditor
Relationsstandard
∥\parallel
parallel toEditor
Relationsstandard
⊂\subset
strict subset ofEditor
Relationsstandard
⊆\subseteq
subset or equal toEditor
Relationsstandard
⊃\supset
strict superset ofEditor
Relationsstandard
⊇\supseteq
superset or equal toEditor
Relationsstandard
∈\in
element of setEditor
Relationsstandard
∉\notin
not an element ofEditor
Relationsstandard
∋\ni
contains as memberEditor
Relationsstandard
≺\prec
precedes strictEditor
Relationsstandard
⪯\preceq
precedes or equalEditor
Relationsstandard
≻\succ
succeeds strictEditor
Relationsstandard
⪰\succeq
succeeds or equalEditor
Relationsstandard
⊢\vdash
turnstile provesEditor
Relationsstandard
⊣\dashv
reversed turnstileEditor
Relationsstandard
⊨\models
models entailsEditor
Relationsstandard
⌣\smile
smile relationEditor
Relationsstandard
⌢\frown
frown relationEditor
Relationsstandard
≍\asymp
asymptotically equalEditor
Relationsstandard
≐\doteq
dot equal approachesEditor
Relationsamssymb
⊏\sqsubset
square strict subsetEditor
Relationsstandard
⊑\sqsubseteq
square subset equalEditor
Relationsamssymb
⊐\sqsupset
square strict supersetEditor
Relationsstandard
⊒\sqsupseteq
square superset equalEditor
Relationsamsmath
≔\coloneqq
defined as coloneqqEditor
Relationsamsmath
≕\eqqcolon
equals colon definitionEditor
Relationsstandard
∣\mid
divides relationEditor
Relationsamssymb
∤\nmid
does not divideEditor
Relationsamssymb
∦\nparallel
not parallel toEditor
Relationsamssymb
⊊\subsetneq
proper subset not equalEditor
Relationsamssymb
⊋\supsetneq
proper superset not equalEditor
Relationsamssymb
⊲\vartriangleleft
normal subgroup leftEditor
Relationsamssymb
⊳\vartriangleright
normal subgroup rightEditor
Relationsamssymb
⊴\trianglelefteq
normal subgroup or equalEditor
Relationsamssymb
⊵\trianglerighteq
normal subgroup right or equalEditor
Relationsamssymb
≊\approxeq
approximate equal tildeEditor
Relationsamssymb
≿\succsim
succeeds or similarEditor
Relationsamssymb
≾\precsim
precedes or similarEditor
Sets & Logicstandard
∀\forall
universal quantifier for allEditor
Sets & Logicstandard
∃\exists
existential quantifier existsEditor
Sets & Logicamssymb
∄\nexists
there does not existEditor
Sets & Logicstandard
¬\neg
logical negation notEditor
Sets & Logicstandard
∧\land
logical andEditor
Sets & Logicstandard
∨\lor
logical orEditor
Sets & Logicstandard
∅\emptyset
empty set symbolEditor
Sets & Logicamssymb
∅\varnothing
slashed circle empty setEditor
Sets & Logicamssymb
R\mathbb{R}
real numbers blackboardEditor
Sets & Logicamssymb
N\mathbb{N}
natural numbers blackboardEditor
Sets & Logicamssymb
Z\mathbb{Z}
integers blackboardEditor
Sets & Logicamssymb
Q\mathbb{Q}
rational numbers blackboardEditor
Sets & Logicamssymb
C\mathbb{C}
complex numbers blackboardEditor
Sets & Logicamssymb
P\mathbb{P}
probability or primesEditor
Sets & Logicamssymb
H\mathbb{H}
quaternions blackboardEditor
Sets & Logicstandard
ℵ\aleph
aleph cardinal numberEditor
Sets & Logicamssymb
ℶ\beth
beth numberEditor
Sets & Logicstandard
⊤\top
tautology top trueEditor
Sets & Logicstandard
⊥\bot
contradiction bottom falseEditor
Sets & Logicamssymb
∴\therefore
therefore symbolEditor
Sets & Logicamssymb
∵\because
because symbolEditor
Sets & Logicstandard
∠\angle
geometric angleEditor
Sets & Logicamssymb
∡\measuredangle
measured angleEditor
Sets & Logicamssymb
∢\sphericalangle
spherical angleEditor
Sets & Logicstandard
△\triangle
triangle geometricEditor
Sets & Logicamssymb
□\square
open squareEditor
Sets & Logicamssymb
■\blacksquare
solid black square QEDEditor
Sets & Logicamssymb
◊\lozenge
lozenge modal necessityEditor
Sets & Logicamssymb
⧫\blacklozenge
black filled lozengeEditor
Sets & Logicstandard
♭\flat
musical flatEditor
Sets & Logicstandard
♮\natural
musical naturalEditor
Sets & Logicstandard
♯\sharp
musical sharpEditor
Sets & Logicamssymb
℧\mho
mho conductance ohm reversedEditor
Sets & Logicstandard
ℜ\Re
real part frakturEditor
Sets & Logicstandard
ℑ\Im
imaginary part frakturEditor
Operatorsstandard
…\dots
horizontal ellipsis dotsEditor
Operatorsstandard
⋯\cdots
centered horizontal dotsEditor
Operatorsstandard
⋮\vdots
vertical dotsEditor
Operatorsstandard
⋱\ddots
diagonal dotsEditor
Sets & Logicstandard
ℵ0\aleph_0
aleph null cardinalityEditor
Sets & Logicamssymb
∁\complement
set complementEditor
Sets & Logicamssymb
Ⅎ\Finv
game theory inverted FEditor
Sets & Logicamssymb
⅁\Game
game theory symbolEditor
Sets & Logicamssymb
Ⓢ\circledS
circled capital SEditor
Relationsamssymb
╱\diagup
diagonal up slashEditor
Relationsamssymb
╲\diagdown
diagonal down slashEditor
Sets & Logicamssymb
✓\checkmark
checkmark symbolEditor
Sets & Logicamssymb
✠\maltese
maltese crossEditor
Sets & Logicamssymb
¥\yen
yen currency symbolEditor
Sets & Logicamssymb
®\circledR
registered trademarkEditor
Operatorsamssymb
⊚\circledcirc
circled small circleEditor
Operatorsamssymb
⊛\circledast
circled asteriskEditor
Operatorsamssymb
⊝\circleddash
circled horizontal dashEditor
Operatorsamssymb
⋏\curlywedge
curly logical wedgeEditor
Operatorsamssymb
⋎\curlyvee
curly logical veeEditor
Operatorsamssymb
⋒\Cap
double intersection CapEditor
Operatorsamssymb
⋓\Cup
double union CupEditor
Operatorsamssymb
⊼\barwedge
bar above wedgeEditor
Operatorsamssymb
⊻\veebar
bar below vee XOREditor
Operatorsamssymb
⩞\doublebarwedge
double bar above wedgeEditor
Operatorsamssymb
⋋\leftthreetimes
left three timesEditor
Operatorsamssymb
⋌\rightthreetimes
right three timesEditor
Relationsamssymb
⋖\lessdot
less than with dotEditor
Relationsamssymb
⋗\gtrdot
greater than with dotEditor
Relationsamssymb
≑\doteqdot
geometrically equal dot equal dotEditor
Relationsamssymb
≓\risingdotseq
rising dots equalEditor
Relationsamssymb
≒\fallingdotseq
falling dots equalEditor
Relationsamssymb
≖\eqcirc
equal with circle on topEditor
Relationsamssymb
≗\circeq
circle with equal belowEditor
Relationsamssymb
≜\triangleq
triangle equal definitionEditor
Relationsamssymb
≏\bumpeq
bumpy equalEditor
Relationsamssymb
≎\Bumpeq
double bumpy equalEditor
Relationsamssymb
∼\thicksim
thick similar relationEditor
Relationsamssymb
≈\thickapprox
thick approximate relationEditor
Relationsamssymb
∽\backsim
reversed similarEditor
Relationsamssymb
⋍\backsimeq
reversed similar equalEditor
Relationsstix
⊂ ⁣ ⁣ ⁣+\subset\!\!\!+
subset with plus insideEditor
Relationsstix
⊃ ⁣ ⁣ ⁣+\supset\!\!\!+
superset with plus insideEditor
Relationsamssymb
◀\blacktriangleleft
filled black left triangleEditor
Relationsamssymb
▶\blacktriangleright
filled black right triangleEditor
Relationsamssymb
▲\blacktriangle
solid black triangle upEditor
Relationsamssymb
▼\blacktriangledown
solid black triangle downEditor
Relationsamssymb
≰\nleq
not less than or equalEditor
Relationsamssymb
≱\ngeq
not greater than or equalEditor
Relationsamssymb
≮\nless
not less thanEditor
Relationsamssymb
≯\ngtr
not greater thanEditor
Relationsamssymb
⊀\nprec
does not precedeEditor
Relationsamssymb
⊁\nsucc
does not succeedEditor
Relationsamssymb
⊈\nsubseteq
not a subset or equalEditor
Relationsamssymb
⊉\nsupseteq
not a superset or equalEditor
Relationsamssymb
≁\nsim
not similar toEditor
Relationsamssymb
≆\ncong
not congruent toEditor
Relationsamssymb
⊭\nvDash
does not satisfy nvDashEditor
Relationsamssymb
⊬\nvdash
does not prove nvdashEditor
Relationsamssymb
≬\between
between relationEditor
Relationsamssymb
⋔\pitchfork
pitchfork transversalityEditor
Relationsamssymb
∍\backepsilon
reversed small epsilonEditor
Sets & Logicamssymb
⊩\Vdash
double turnstile forcesEditor
Sets & Logicamssymb
⊪\Vvdash
triple turnstileEditor
Sets & Logicamssymb
⊯\nVDash
not double turnstileEditor
Relationsamsmath
∼i.i.d.\sim_{i.i.d.}
independent identically distributedEditor
Sets & Logicstandard
©\copyright
copyright symbolEditor
Sets & Logicstandard
§\S
section signEditor
Sets & Logicstandard
\P
paragraph pilcrow signEditor
Sets & Logicstandard
£\pounds
sterling currency poundEditor
Sets & Logiceurosym
€\text{€}
euro currency symbolEditor
Sets & Logicstandard
♢\diamondsuit
card diamond suitEditor
Sets & Logicstandard
♡\heartsuit
card heart suitEditor
Sets & Logicstandard
♠\spadesuit
card spade suitEditor
Sets & Logicstandard
♣\clubsuit
card club suitEditor

Math Symbols FAQ

How do I type set theory symbols in LaTeX?▼

Use \in for element-of (∈), \notin for not-in (∉), \subset for subset (⊂), \subseteq for subset-or-equal (⊆), \cup for union (∪), and \cap for intersection (∩).

How do I write number sets like Real Numbers or Integers?▼

Use blackboard bold with the amssymb package: \mathbb{R} for Real numbers (ℝ), \mathbb{N} for Natural numbers (ℕ), \mathbb{Z} for Integers (ℤ), and \mathbb{C} for Complex numbers (ℂ).

What is the difference between \sim, \approx, and \cong?▼

\sim produces ~ (similar to or distributed as), \approx produces ≈ (approximately equal), and \cong produces ≅ (congruent to in geometry or isomorphic in abstract algebra).

How do I define a function or notation with coloneqq?▼

In the amsmath package, use \coloneqq to produce := which is the standard mathematical definition operator.