Glossary of Math Symbols for Microsoft Word

Complete list of UnicodeMath character keywords and properties from UTN28 specification (version 3.3) (Paper).

All symbols are supported in Microsoft 365 apps (Word, Excel, PowerPoint, OneNote, Outlook, Publisher, Access) and Google Workspace apps (Docs, Sheets, Slides, Forms) that include equation editors.

Showing 315 of 315 symbols

Greek Letters

Symbol	Codes	Description	Tags
α	\alpha	Lowercase Alpha	greeklettera
β	\beta	Lowercase Beta	greekletterb
γ	\gamma	Lowercase Gamma	greekletterg
δ	\delta	Lowercase Delta	greekletterd
ε	\epsilon	Lowercase Epsilon	greeklettere
ε	\varepsilon	Variant Epsilon	greeklettere
ζ	\zeta	Lowercase Zeta	greekletterz
η	\eta	Lowercase Eta	greeklettere
θ	\theta	Lowercase Theta	greekletterth
ϑ	\vartheta	Variant Theta	greekletterth
ι	\iota	Lowercase Iota	greekletteri
κ	\kappa	Lowercase Kappa	greekletterk
ϰ	\varkappa	Variant Kappa	greekletterk
λ	\lambda	Lowercase Lambda	greekletterl
μ	\mu	Lowercase Mu	greekletterm
ν	\nu	Lowercase Nu	greeklettern
ξ	\xi	Lowercase Xi	greekletterx
ο	\omicron	Lowercase Omicron	greeklettero
π	\pi	Lowercase Pi	greekletterpconstantratio
ϖ	\varpi	Variant Pi	greekletterp
ρ	\rho	Lowercase Rho	greekletterr
ϱ	\varrho	Variant Rho	greekletterr
σ	\sigma	Lowercase Sigma	greekletters
ς	\varsigma	Variant Sigma (final)	greekletters
τ	\tau	Lowercase Tau	greeklettert
υ	\upsilon	Lowercase Upsilon	greekletteru
ϕ	\phi	Lowercase Phi	greekletterph
φ	\varphi	Variant Phi	greekletterphgolden ratio
χ	\chi	Lowercase Chi	greekletterch
ψ	\psi	Lowercase Psi	greekletterps
ω	\omega	Lowercase Omega	greeklettero
Α	\Alpha	Uppercase Alpha	greekletterA
Β	\Beta	Uppercase Beta	greekletterB
Γ	\Gamma	Uppercase Gamma	greekletterGfunction
Δ	\Delta	Uppercase Delta	greekletterDincrementlaplacian
Ε	\Epsilon	Uppercase Epsilon	greekletterE
Ζ	\Zeta	Uppercase Zeta	greekletterZ
Η	\Eta	Uppercase Eta	greekletterE
Θ	\Theta	Uppercase Theta	greekletterTh
Ι	\Iota	Uppercase Iota	greekletterI
Κ	\Kappa	Uppercase Kappa	greekletterK
Λ	\Lambda	Uppercase Lambda	greekletterL
Μ	\Mu	Uppercase Mu	greekletterM
Ν	\Nu	Uppercase Nu	greekletterN
Ξ	\Xi	Uppercase Xi	greekletterX
Ο	\Omicron	Uppercase Omicron	greekletterO
Π	\Pi	Uppercase Pi	greekletterPproduct
Ρ	\Rho	Uppercase Rho	greekletterR
Σ	\Sigma	Uppercase Sigma	greekletterSsummation
Τ	\Tau	Uppercase Tau	greekletterT
Υ	\Upsilon	Uppercase Upsilon	greekletterU
Φ	\Phi	Uppercase Phi	greekletterPh
Χ	\Chi	Uppercase Chi	greekletterCh
Ψ	\Psi	Uppercase Psi	greekletterPs
Ω	\Omega	Uppercase Omega	greekletterOohm
ϝ	\digamma	Lowercase Digamma	greekletterarchaic
Ϝ	\Digamma	Uppercase Digamma	greekletterarchaic

Letter-like Symbols

Symbol	Codes	Description	Tags
ℵ	\aleph	Aleph Symbol	hebrewcardinalset theory
ℶ	\beth	Beth Symbol	hebrewcardinalset theory
ℷ	\gimel	Gimel Symbol	hebrewcardinalset theory
ı	\imath	Dotless i	lettermath
ȷ	\jmath	Dotless j	lettermath
ℓ	\ell	Script Small L	lettermathscript
℘	\wp	Weierstrass Elliptic Function	lettermathscriptfunction
ℏ	\hbar	Planck Constant over 2 Pi	physicsconstantquantum
ℏ	\hslash	Planck Constant over 2 Pi (alternate)	physicsconstantquantum
ℜ	\Re	Real Part	complexnumberfraktur
ℑ	\Im	Imaginary Part	complexnumberfraktur
ð	\eth	Eth	letter
∂	\partial	Partial Differential	calculusdifferentialoperator
∇	\nabla	Nabla / Del	calculusgradientvectoroperator

Delimiters

Symbol	Codes	Description	Tags
(	(	Left Parenthesis	delimiterparenthesisopen
)	)	Right Parenthesis	delimiterparenthesisclose
[	[	Left Square Bracket	delimiterbracketopen
]	]	Right Square Bracket	delimiterbracketclose
{	\{, {	Left Curly Brace	delimiterbraceopen
}	\}, }	Right Curly Brace	delimiterbraceclose
⟨	\langle	Left Angle Bracket	delimiterbraopen
⟩	\rangle	Right Angle Bracket	delimiterketclose
\|	\|, \vert	Vertical Line	delimiterbarabsolute value
‖	\\|, \Vert	Double Vertical Line	delimiternorm
⌊	\lfloor	Left Floor	delimiterflooropen
⌋	\rfloor	Right Floor	delimiterfloorclose
⌈	\lceil	Left Ceiling	delimiterceilingopen
⌉	\rceil	Right Ceiling	delimiterceilingclose
/	/	Slash	delimiterfractiondivision
\	\backslash	Backslash	delimiterset difference

Binary Operators

Symbol	Codes	Description	Tags
+	+	Plus Sign	addplusoperatorbinary
−	-, \minus	Minus Sign	subtractminusoperatorbinary
×	\times	Multiplication Sign	multiplytimesoperatorbinarycross product
÷	\div	Division Sign	divideoperatorbinary
±	\pm	Plus-Minus Sign	plusminusoperatorbinary
∓	\mp	Minus-Plus Sign	minusplusoperatorbinary
⋅	\cdot	Dot Operator	multiplydot productoperatorbinary
∘	\circ	Ring Operator	compositionfunctionoperatorbinary
∙	\bullet	Bullet Operator	operatorbinary
∗	\ast	Asterisk Operator	operatorbinary
⋉	\ltimes	Left Semidirect Product	operatorbinaryproduct
⋊	\rtimes	Right Semidirect Product	operatorbinaryproduct
∧	\wedge, \land	Wedge / Logical AND	operatorbinarylogicmeet
∨	\vee, \lor	Vee / Logical OR	operatorbinarylogicjoin
∩	\cap	Intersection	setintersectionmeetoperatorbinary
∪	\cup	Union	setunionjoinoperatorbinary
⊓	\sqcap	Square Cap	operatorbinary
⊔	\sqcup	Square Cup	operatorbinary
⊕	\oplus	Circled Plus / Direct Sum	operatorbinarysumxor
⊖	\ominus	Circled Minus	operatorbinary
⊗	\otimes	Circled Times / Tensor Product	operatorbinaryproduct
⊘	\oslash	Circled Slash	operatorbinary
⊙	\odot	Circled Dot	operatorbinary
≀	\wr	Wreath Product	operatorbinaryproduct
△	\triangle	Up-Pointing Triangle	operatorbinarysymmetric difference
▽	\triangledown	Down-Pointing Triangle	operatorbinary
†	\dagger	Dagger	operatorbinary
‡	\ddagger	Double Dagger	operatorbinary
⨿	\amalg	Amalgamation / Coproduct	operatorbinarycoproductdisjoint union
⋆	\star	Star Operator	operatorbinarystarasterisk
⊎	\uplus	Disjoint Union / Plus in Union	operatorbinarysetdisjoint unionsum

Relations

Symbol	Codes	Description	Tags
=	=	Equals Sign	equalsrelation
≠	\ne, /=	Not Equal To	not equalsrelation
<	<	Less-Than Sign	less thanrelation
>	>	Greater-Than Sign	greater thanrelation
≤	\le, <=	Less-Than or Equal To	less thanequalrelation
≥	\ge, >=	Greater-Than or Equal To	greater thanequalrelation
≪	\ll	Much Less-Than	less thanrelation
≫	\gg	Much Greater-Than	greater thanrelation
≡	\equiv	Identical To / Equivalent	identicalequivalentrelationcongruent
∼	\sim	Similar To	similarrelation
≃	\simeq	Asymptotically Equal To	asymptoticsimilarequalrelation
≈	\approx	Approximately Equal To	approximaterelation
≅	\cong	Congruent To	congruentrelation
∝	\propto	Proportional To	proportionalrelation
∈	\in	Element Of	setelementmemberrelation
∉	\notin	Not an Element Of	setnot elementmemberrelation
∋	\ni, \owns	Contains as Member	setcontainsmemberrelation
⊂	\subset	Subset Of	setsubsetrelation
⊃	\supset	Superset Of	setsupersetrelation
⊆	\subseteq	Subset Of or Equal To	setsubsetequalrelation
⊇	\supseteq	Superset Of or Equal To	setsupersetequalrelation
⊑	\sqsubseteq	Square Image Of or Equal To	relation
⊒	\sqsupseteq	Square Original Of or Equal To	relation
≺	\prec	Precedes	precedesrelation
≻	\succ	Succeeds	succeedsrelation
≼	\preceq	Precedes or Equal To	precedesequalrelation
≽	\succeq	Succeeds or Equal To	succeedsequalrelation
⊢	\vdash	Right Tack / Proves	logicprovesrelation
⊣	\dashv	Left Tack	relation
∣	\mid	Divides	dividesrelation
∥	\parallel	Parallel To	parallelrelation
⊥	\perp	Perpendicular To / Up Tack	perpendicularorthogonallogicbottomrelation
⋈	\bowtie	Bowtie	relationjoin
⌣	\smile	Upward curve, smile	relationcurvearc
⌢	\frown	Downward curve, frown	relationcurvearc
⊨	\models	Models / Satisfies	relationlogicsatisfiesproves

N-ary and Large Operators

Symbol	Codes	Description	Tags
∑	\sum	N-ary Summation	sumsummationoperatorn-ary
∏	\prod	N-ary Product	productoperatorn-ary
∐	\coprod	N-ary Coproduct	coproductoperatorn-ary
∫	\int	Integral	calculusintegralantiderivativeoperatorn-ary
∮	\oint	Contour Integral	calculusintegrallineoperatorn-ary
∬	\iint	Double Integral	calculusintegraloperatorn-ary
∭	\iiint	Triple Integral	calculusintegraloperatorn-ary
∯	\oiint	Surface Integral	calculusintegraloperatorn-ary
∰	\oiiint	Volume Integral	calculusintegraloperatorn-ary
⋀	\bigwedge	N-ary Logical AND	logicmeetoperatorn-ary
⋁	\bigvee	N-ary Logical OR	logicjoinoperatorn-ary
⋂	\bigcap	N-ary Intersection	setintersectionoperatorn-ary
⋃	\bigcup	N-ary Union	setunionoperatorn-ary
⨁	\bigoplus	N-ary Direct Sum	sumoperatorn-ary
⨂	\bigotimes	N-ary Tensor Product	productoperatorn-ary
⨆	\bigsqcup	N-ary Square Union	operatorn-aryunionsquare
⨄	\biguplus	N-ary Disjoint Union	operatorn-arydisjoint unionsum
⨀	\bigodot	N-ary Circled Dot Operator	operatorn-arydotcircled

Arrows

Symbol	Codes	Description	Tags
←	\leftarrow, \gets	Leftwards Arrow	arrowleft
↑	\uparrow	Upwards Arrow	arrowup
→	\rightarrow, \to	Rightwards Arrow	arrowright
↓	\downarrow	Downwards Arrow	arrowdown
↔	\leftrightarrow	Left Right Arrow	arrowleftright
↕	\updownarrow	Up Down Arrow	arrowupdown
↖	\nwarrow	North West Arrow	arrowdiagonal
↗	\nearrow	North East Arrow	arrowdiagonal
↘	\searrow	South East Arrow	arrowdiagonal
↙	\swarrow	South West Arrow	arrowdiagonal
⇐	\Leftarrow	Leftwards Double Arrow	arrowleftdouble
⇑	\Uparrow	Upwards Double Arrow	arrowupdouble
⇒	\Rightarrow	Rightwards Double Arrow	arrowrightdoubleimplies
⇓	\Downarrow	Downwards Double Arrow	arrowdowndouble
⇔	\Leftrightarrow	Left Right Double Arrow	arrowleftrightdoubleiff
⇕	\Updownarrow	Up Down Double Arrow	arrowupdowndouble
↦	\mapsto	Rightwards Arrow from Bar	arrowmap
↩	\hookleftarrow	Leftwards Arrow with Hook	arrowleft
↪	\hookrightarrow	Rightwards Arrow with Hook	arrowright
↼	\leftharpoonup	Leftwards Harpoon with Barb Upwards	arrowleftharpoon
↽	\leftharpoondown	Leftwards Harpoon with Barb Downwards	arrowleftharpoon
⇀	\rightharpoonup	Rightwards Harpoon with Barb Upwards	arrowrightharpoon
⇁	\rightharpoondown	Rightwards Harpoon with Barb Downwards	arrowrightharpoon
⇌	\rightleftharpoons	Rightwards Harpoon over Leftwards Harpoon	arrowequilibriumreaction
⟵	\longleftarrow	Long Leftwards Arrow	arrowleftlong
⟶	\longrightarrow	Long Rightwards Arrow	arrowrightlong
⟷	\longleftrightarrow	Long Left Right Arrow	arrowleftrightlong
⟸	\Longleftarrow	Long Leftwards Double Arrow	arrowleftlongdouble
⟹	\Longrightarrow	Long Rightwards Double Arrow	arrowrightlongdouble
⟺	\Longleftrightarrow	Long Left Right Double Arrow	arrowleftrightlongdouble

Logic and Set Theory

Symbol	Codes	Description	Tags
∀	\forall	For All	logicquantifieruniversal
∃	\exists	There Exists	logicquantifierexistential
∄	\nexists	There Does Not Exist	logicquantifierexistential
¬	\neg, \lnot	Negation / Not Sign	logicnot
∴	\therefore	Therefore	logictherefore
∵	\because	Because	logicbecause
⊤	\top	Top / Tautology	logictrue
⊥	\bot	Bottom / Contradiction	logicfalseperpendicular
∅	\emptyset, \varnothing	Empty Set	setempty
℘	\wp	Power Set	setpowerweierstrass
∖	\setminus	Set Minus	setdifference

Geometric Shapes

Symbol	Codes	Description	Tags
∠	\angle	Angle	geometryangle
∡	\measuredangle	Measured Angle	geometryangle
△	\triangle	Triangle	geometryshape
□	\square	Square / End of Proof	geometryshapeQEDtombstone
⋄	\diamond	Diamond	geometryshape

Miscellaneous Symbols

Symbol	Codes	Description	Tags
∞	\infty	Infinity	calculuslimitinfinity
…	\dots, \ldots	Horizontal Ellipsis	dotsellipsis
⋯	\cdots	Midline Horizontal Ellipsis	dotsellipsis
⋮	\vdots	Vertical Ellipsis	dotsellipsis
⋱	\ddots	Diagonal Ellipsis	dotsellipsis
′	\prime	Prime / Minute / Foot	primederivativeunit
″	\dprime	Double Prime / Second / Inch	primederivativeunit
√	\sqrt	Square Root	rootradical
∛	\cbrt	Cube Root	rootradical
∜	\qdrt	Fourth Root	rootradical
♠	\spadesuit	Spade Suit	cardsuit
♡	\heartsuit	Heart Suit	cardsuit
♢	\diamondsuit	Diamond Suit	cardsuit
♣	\clubsuit	Club Suit	cardsuit
✓	\checkmark	Check Mark	checkmark
!	!	Factorial	factorialexclamation

Accents and Diacritics

Symbol	Codes	Description	Tags
̂	\hat	Circumflex Accent	accentdiacriticcombining
̌	\check	Caron / Check Accent	accentdiacriticcombining
̃	\tilde	Tilde Accent	accentdiacriticcombining
́	\acute	Acute Accent	accentdiacriticcombining
̀	\grave	Grave Accent	accentdiacriticcombining
̇	\dot	Dot Above	accentdiacriticcombining
̈	\ddot	Double Dot Above / Diaeresis	accentdiacriticcombining
⃛	\dddot	Triple Dot Above	accentdiacriticcombining
̅	\bar	Macron / Bar Above	accentdiacriticcombining
⃗	\vec	Vector Arrow Above	accentdiacriticcombiningvector
⏜	\overparen	Over Parenthesis	accentdiacriticcombiningbracket
⏝	\underparen	Under Parenthesis	accentdiacriticcombiningbracket
⏞	\overbrace	Over Brace	accentdiacriticcombiningbracket
⏟	\underbrace	Under Brace	accentdiacriticcombiningbracket
⏠	\overshell	Over Shell / Top Tortoise Shell Bracket	accentdiacriticcombiningbracket
⏡	\undershell	Under Shell / Bottom Tortoise Shell Bracket	accentdiacriticcombiningbracket
⎴	\overbracket	Over Square Bracket	accentdiacriticcombiningbracket
⎵	\underbracket	Under Square Bracket	accentdiacriticcombiningbracket
¯	\overbar	Overbar / Macron	accentdiacriticbar
̲	\underbar	Underbar	accentdiacriticbar
̆	\breve	Breve Accent	accentdiacriticcombiningshort

Matrix Delimiters

Symbol	Codes	Description	Tags
■	\matrix	Matrix (no delimiters)	matrixarraydelimiter
ⓢ…]	\bmatrix	Matrix with Square Brackets	matrixarraydelimiterbracket
⒨…)	\pmatrix	Matrix with Parentheses	matrixarraydelimiterparenthesis
⒱…\|	\vmatrix	Matrix with Vertical Bars (Determinant)	matrixarraydelimiterdeterminant
Ⓢ…}	\Bmatrix	Matrix with Curly Braces	matrixarraydelimiterbrace
⒩…‖	\Vmatrix	Matrix with Double Vertical Bars	matrixarraydelimiternorm

Spacing

Codes	Description	Tags
\zwsp	Zero-Width Space	spaceinvisibleformatting
\hairsp	Hair Space (1/18 em)	spacethinformatting
\thinsp	Thin Space (3/18 em)	spacethinformatting
\medsp	Medium Math Space (4/18 em)	spacemediumformatting
\thicksp	Thick Space (5/18 em)	spacethickformatting
\vthicksp	Very Thick Space (6/18 em)	spacethickformatting
\ensp	En Space (9/18 em)	spaceformatting
\emsp	Em Space (18/18 em)	spaceformatting
\numsp	Figure Space / Number Space	spaceformattingdigit
\nbsp	No-Break Space	spaceformattingnon-breaking

Layout and Phantom Operators

Symbol	Codes	Description	Tags
⟡	\phantom	Phantom (invisible but takes space)	layoutspacinginvisible
⬄	\hphantom	Horizontal Phantom (width only)	layoutspacinginvisiblehorizontal
⇳	\vphantom	Vertical Phantom (height only)	layoutspacinginvisiblevertical
⬍	\smash	Smash (zero height)	layoutspacing
⬆	\asmash	Ascent Smash (remove ascent)	layoutspacingvertical
⬇	\dsmash	Descent Smash (remove descent)	layoutspacingvertical
⬌	\hsmash	Horizontal Smash (zero width)	layoutspacinghorizontal

Control Words and Special Characters

Symbol	Codes	Description	Tags
⁡	\funcapply	Function Application (invisible)	functioninvisiblecontrol
▭	\rect	Rectangle / Placeholder	placeholdercontrol
├	\open	Open Delimiter	delimitercontrol
┤	\close	Close Delimiter	delimitercontrol
┴	\above	Above (fraction line position)	fractioncontrollayout
┬	\below	Below (subscript position)	subscriptcontrollayout
〖	\begin	Begin Group	controlgrouping
〗	\end	End Group	controlgrouping
□	\box	Box / Placeholder	placeholdercontrol
█	\eqarray	Equation Array	arraycontrol
▒	\naryand, \of	N-ary And / Of	operatorn-arycontrol

Negated Relations

Symbol	Codes	Description	Tags
≮	/<	Not Less-Than	negatedrelationnot
≠	/=	Not Equal To	negatedrelationnot
≯	/>	Not Greater-Than	negatedrelationnot
∄	/\exists	There Does Not Exist	negatedlogicquantifiernot
∉	/\in	Not an Element Of	negatedsetrelationnot
∌	/\ni	Does Not Contain as Member	negatedsetrelationnot
≁	/\sim	Not Similar To	negatedrelationnot
≄	/\simeq	Not Asymptotically Equal To	negatedrelationnot
≇	/\cong	Not Congruent To	negatedrelationnot
≉	/\approx	Not Approximately Equal To	negatedrelationnot
≭	/\asymp	Not Asymptotic To	negatedrelationnot
≢	/\equiv	Not Identical To	negatedrelationnot
≰	/\le	Not Less-Than or Equal To	negatedrelationnot
≱	/\ge	Not Greater-Than or Equal To	negatedrelationnot
≸	/\lessgtr	Not Less-Than or Greater-Than	negatedrelationnot
≹	/\gtrless	Not Greater-Than or Less-Than	negatedrelationnot
⊀	/\prec	Does Not Precede	negatedrelationnot
⊁	/\succ	Does Not Succeed	negatedrelationnot
⋠	/\preceq	Does Not Precede or Equal	negatedrelationnot
⋡	/\succeq	Does Not Succeed or Equal	negatedrelationnot
⊄	/\subset	Not a Subset Of	negatedsetrelationnot
⊅	/\supset	Not a Superset Of	negatedsetrelationnot
⊈	/\subseteq	Not a Subset Of or Equal To	negatedsetrelationnot
⊉	/\supseteq	Not a Superset Of or Equal To	negatedsetrelationnot
⋢	/\sqsubseteq	Not Square Image Of or Equal To	negatedrelationnot
⋣	/\sqsupseteq	Not Square Original Of or Equal To	negatedrelationnot