Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus
For over 15 years, our Textbooks and Online School have been the cornerstone of the mathematical training of many of the top students in the world. Check out our schedule of upcoming classes to find a class that's right for you!

Difference between revisions of "LaTeX:Symbols"

(→‎Arrows)
m (→‎Relations)
 
(204 intermediate revisions by 90 users not shown)
Line 1: Line 1:
 
{{Latex}}
 
{{Latex}}
  
−
This article will provide a short list of commonly used LaTeX symbols.
+
This article provides a short list of commonly used LaTeX symbols.
 +
 
 +
== Finding Other Symbols ==
 +
 
 +
Here are some external resources for finding less commonly used symbols:
 +
<ul>
 +
<li>
 +
[http://detexify.kirelabs.org/classify.html Detexify] is an online application which allows you to draw the symbol you'd like and shows you the <math>\text{\LaTeX}</math> code for it!
 +
<br/><br/></li>
 +
 
 +
<li>
 +
MathJax (what allows us to use <math>\text{\LaTeX}</math> on the web, (technically an AJAX library simulating it.)) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].
 +
<br/><br/></li>
 +
 
 +
<li>
 +
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].
 +
<br/><br/></li>
 +
 
 +
<li>
 +
[https://mathvault.ca/wp-content/uploads/Comprehensive-List-of-Mathematical-Symbols.pdf Comprehensive List of Mathematical Symbols].
 +
<br/><br/></li>
 +
</ul>
 +
 
 +
-------------------------------------------------------------------------------------------------------------
  
 
==Operators==
 
==Operators==
Line 31: Line 54:
 
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright
 
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright
 
|-
 
|-
−
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr
+
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}
 +
|-
 +
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}
 +
|-
 +
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}||<math>a_x</math>||a_x
 
|}
 
|}
  
Line 60: Line 87:
 
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models
 
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models
 
|-
 
|-
−
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel|| <math>\|</math> || <nowiki>\|</nowiki>
+
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||
 
|-
 
|-
−
| <math>\mid</math>||\mid
+
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||
 
|}
 
|}
−
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.
+
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an "n" between the \ and the word. Here are a couple examples, plus many other negations; it works for many of the many others as well.
−
{| class="latextable"
+
 
 +
{| class="latextable"}
 
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command
 
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command
 
|-
 
|-
Line 72: Line 100:
 
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel
 
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel
 
|-
 
|-
−
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=
+
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not= or \neq or \ne
 
|-
 
|-
 
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim
 
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim
Line 84: Line 112:
 
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq
 
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq
 
|}
 
|}
 +
 +
To use other relations not listed here, such as <math>=</math>, <math>></math>, and <math><</math>, in <math>\LaTeX</math>, you must use the symbols on your keyboard, as they are not available in <math>\LaTeX</math>.
  
 
==Greek Letters==
 
==Greek Letters==
Line 116: Line 146:
 
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon
 
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon
 
|-
 
|-
−
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi
+
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega
 
|}
 
|}
  
−
==Arrows==
+
== Arrows ==
 +
 
 
{| class="latextable"
 
{| class="latextable"
 
!Symbol !! Command!!Symbol !! Command
 
!Symbol !! Command!!Symbol !! Command
Line 156: Line 187:
 
|-
 
|-
 
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow
 
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow
 +
|-
 +
|<math>\overrightarrow{AB}</math>||\overrightarrow{AB}||<math>\overleftarrow{AB}</math>||\overleftarrow{AB}
 +
|-
 +
|<math>\overleftrightarrow{AB}</math>||\overleftrightarrow{AB}|| ||
 
|}
 
|}
 +
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)
  
 
==Dots==
 
==Dots==
 +
{| class="latextable"
 +
!Symbol!!Command!!Symbol!!Command!!
 +
|-     
 +
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| 
 +
|-       
 +
|<math>\dots</math>||\dots|| |<math>\ddots</math>||\ddots||
 +
|-
 +
|<math>\cdots</math>||\cdots|| |<math>\iddots</math>||\iddots||
 +
 +
|}
 +
 
==Accents==
 
==Accents==
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}
 +
|-
 +
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}
 +
|-
 +
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}
 +
|-
 +
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}
 +
|}
 +
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}
 +
|}
 +
\tilde and \hat have wide versions that allow you to accent an expression:
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}
 +
|}
 +
 
==Others==
 
==Others==
−
==Bracketing Symbols==
+
{| class="latextable"
−
==Multi-Size Symbols==
+
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command                                                                   
 +
|-
 +
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle
 +
|-
 +
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath
 +
|-
 +
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp
 +
|-
 +
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho
 +
|-
 +
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla
 +
|-
 +
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top
 +
|-
 +
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv
 +
|-
 +
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg
 +
|-
 +
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp
 +
|-
 +
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond
 +
|-
 +
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit
 +
|-
 +
|<math>\spadesuit</math>||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare
 +
|-
 +
|<math>\diamondsuit</math>||\diamondsuit||<math>\copyright</math>||\copyright ||<math>\underarc{XYZ}</math>||\underarc{XYZ}
 +
|-
 +
|<math>\heartsuit</math>||\heartsuit||<math>\overarc{ABC}</math>||\overarc{ABC} ||<math>\cup</math>||\cup
 +
|-
 +
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\Vdash</math>||\Vdash
 +
|-
 +
|<math>\pounds</math>||\pounds||<math>\in</math>||\in||<math>\vDash</math>||\vDash
 +
|-
 +
|<math>\bigstar</math>||\bigstar||<math>\implies</math>||\implies||<math>\LaTeX</math>||\LaTeX
 +
|-
 +
|<math>\square</math>||\square||<math>\text{\LaTeX}</math>||\text{\LaTeX}||
 +
|-
 +
|<math>\smiley</math>||\smiley||
 +
|-
 +
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||
 +
|-
 +
|<math>\checkmark</math>||\checkmark||
 +
|-
 +
|<math>\cancer</math>||\cancer||
 +
|}
 +
Note: <math>\cancer</math> and <math>\overarc{ABC}</math> do not work in the classroom.
  
−
'''\boxed{Answer}'''  produces a box around your Answer.
+
==Command Symbols==
 +
Some symbols are used in commands, so they need to be treated in a special way.
 +
{| class="latextable"
 +
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command
 +
|-
 +
|<math>\textdollar</math>||\textdollar or \\$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#
 +
|-
 +
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash
 +
|}
  
−
'''\frac{a}{b}''' produces a [[fraction]] with [[numerator]] <math>a</math> and [[denominator]] <math>b</math>. <math>\frac{a}{b}</math>
+
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)
  
−
'''^\circ''' produces the degrees symbol.  <math>a^{\circ}</math>
+
==European Language Symbols==
 +
{| class="latextable"
 +
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command
 +
|-
 +
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}
 +
|-
 +
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}
 +
|-
 +
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`
 +
|-
 +
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||
 +
|}
  
−
'''\text{Your Text Here}''' produces text within LaTeX.  <math>\mbox{Your Text Here}</math>.
+
==Bracketing Symbols==
 +
In mathematics, sometimes we need to enclose expressions in brackets, braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki>
 +
|-
 +
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor
 +
|-
 +
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle
 +
|-
 +
| <math>\rangle</math>||\rangle
 +
|}
 +
You might notice that if you use any of these to typeset an expression that is vertically large, like
  
−
'''\mbox{Your Text Here}''' Produces text within LaTeX <math>\mbox{Your Text Here}</math>
+
:<tt>(\frac{a}{x} )^2</tt>
  
−
'''\sqrt{x}''' produces the square root of <math>x</math>.  <math>\sqrt{x}</math>
+
the parentheses don't come out the right size:
  
−
'''\sqrt[n]{x}''' produces the <math>n</math>th root of <math>x</math>.  <math>\sqrt[n]{x}</math>
+
:<math>(\frac{a}{x})^2</math>
  
−
'''a\equiv b \pmod{c}''' produces <math>a</math> is equivalent to <math>b</math> mod <math>c</math>.  <math>a\equiv b \pmod{c}</math> See [[Mods |Modular Arithmetic]]
+
If we put \left and \right before the relevant parentheses, we get a prettier expression:
  
−
'''\binom{9}{3}''' produces 9 choose 3.
+
:<tt>\left(\frac{a}{x} \right)^2</tt>
  
−
'''{n}\choose{r}''' produces n choose r. <math>{n}\choose{r}</math>
+
gives
  
−
'''x^{y}''' produces x to the power of y.  <math>x^y</math>
+
:<math>\left(\frac{a}{x} \right)^2</math>
  
−
'''x_{y}''' produces x with y in subscript.  <math>x_y</math>
+
For systems of equations or piecewise functions, use the cases environment:
  
−
'''\rightarrow''' produces an arrow to the right.  <math>\rightarrow</math>
+
<tt>f(x) = \</tt><tt>begin{cases} x^2 &\text{if } x \ge 0 \\ x &\text{if } x < 0 \</tt><tt>end{cases}</tt>
  
−
'''\leftarrow''' produces an arrow to the left. <math>\leftarrow</math>
+
which gives
  
−
'''\uparrow''' produces an arrow pointing upwards. <math>\uparrow</math>
+
<math>f(x) = \begin{cases} x^2 &\text{if } x \ge 0 \\ x &\text{if } x < 0 \end{cases}</math>
  
−
'''\downarrow''' produces an arrow pointing downwards. <math>\downarrow</math>
+
In addition to the <tt>\left</tt> and <tt>\right</tt> commands, when doing floor or ceiling functions with fractions, using
  
−
'''\updownarrow''' produces an arrow pointing up and down. <math>\updownarrow</math>
+
<tt>\left\lceil\frac{x}{y}\right\rceil</tt>  
  
−
'''\ge''' produces a greater than or equal to sign. <math>\ge</math>
+
and <tt>\left\lfloor\frac{x}{y}\right\rfloor </tt>
  
−
'''\le''' produces a less than or equal to sign. <math>\le</math>
+
gives both <math>\left\lceil\frac{x}{y}\right\rceil</math> and <math>\left\lfloor\frac{x}{y}\right\rfloor</math>, respectively.
  
−
'''\not>''' produces a not greater than sign. <math>\not></math>
 
  
−
'''\not<''' produces a not less than sign. <math>\not<</math>
+
And, if you type this
  
−
'''\not\ge''' produces a not greater than or equal to sign. <math>\not\ge</math>
+
<tt>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</tt>
  
−
'''\not\le''' produces a not less than or equal to sign. <math>\not\le</math>
+
Gives
  
−
'''\neq''' produces a not equal to sign. <math>\neq</math>
+
<math>\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}</math>
  
−
'''\infty''' produces an infinity sign. <math>\infty</math>
+
Or
  
−
'''\perp''' produces a perpendicular sign. <math>\perp</math>
+
<tt>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</tt>
  
−
'''\angle''' produces an angle sign. <math>\angle</math>
+
Gives
  
−
'''\triangle''' produces a triangle. <math>\triangle</math>
+
<math>\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}</math>
  
−
'''\ldots''' produces three dots at the bottom of a line (ellipsis). <math>\ldots</math>
 
  
−
'''\cdots''' produces three dots in the middle of a line (as in a series sum or product). <math>\cdots</math>
+
\left and \right can also be used to resize the following symbols:
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow
 +
|-
 +
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow
 +
|}
  
−
'''\times''' produces an <math>\times</math> as used in multiplication
+
==Multi-Size Symbols==
 +
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like <code>\begin{equation}...\end{equation}</code> or <code>\begin{align}...\end{align}</code>. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.
  
−
'''\otimes''' produces a <math>\otimes</math>
+
In each of the following, the two images show the symbol in display mode, then in inline mode.
−
 
 
−
Also note that you do not have to use braces, "{" and "}", when you only want one character in the operation.
 
−
 
 
−
==Examples==
 
−
* x^y is the same as x^{y}.  <math>x^y</math>
 
−
* x_y is the same as x_{y}.  <math>x_y</math>
 
−
* BUT x^10 is ''not'' the same as x^{10}.  <math>x^10</math> instead of <math>x^{10}</math>.
 
  
 +
{| class="latextable"
 +
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command
 +
|-
 +
|<math>\sum  \textstyle\sum</math>||\sum||<math>\int  \textstyle\int</math>||\int||<math>\oint  \textstyle\oint</math>||\oint
 +
|-
 +
|<math>\prod  \textstyle\prod</math>||\prod||<math>\coprod  \textstyle\coprod</math>||\coprod||<math>\bigcap  \textstyle\bigcap</math>||\bigcap
 +
|-
 +
|<math>\bigcup  \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup  \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee  \textstyle\bigvee</math>||\bigvee
 +
|-
 +
|<math>\bigwedge  \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot  \textstyle\bigodot</math>||\bigodot||<math>\bigotimes  \textstyle\bigotimes</math>||\bigotimes
 +
|-
 +
|<math>\bigoplus  \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus  \textstyle\biguplus</math>||\biguplus
 +
|}
  
−
==See Also==
+
==See More==
 
*[[LaTeX:Commands | Next: Commands]]
 
*[[LaTeX:Commands | Next: Commands]]
−
*[[LaTeX:Layout | Previous: Layout]]
 

Latest revision as of 20:52, 22 September 2024

LaTeX
About - Getting Started - Diagrams - Symbols - Downloads - Basics - Math - Examples - Pictures - Layout - Commands - Packages - Help

This article provides a short list of commonly used LaTeX symbols.

Finding Other Symbols

Here are some external resources for finding less commonly used symbols:

Operators

Symbol Command Symbol Command Symbol Command
$\pm$ \pm $\mp$ \mp $\times$ \times
$\div$ \div $\cdot$ \cdot $\ast$ \ast
$\star$ \star $\dagger$ \dagger $\ddagger$ \ddagger
$\amalg$ \amalg $\cap$ \cap $\cup$ \cup
$\uplus$ \uplus $\sqcap$ \sqcap $\sqcup$ \sqcup
$\vee$ \vee $\wedge$ \wedge $\oplus$ \oplus
$\ominus$ \ominus $\otimes$ \otimes $\circ$ \circ
$\bullet$ \bullet $\diamond$ \diamond $\lhd$ \lhd
$\rhd$ \rhd $\unlhd$ \unlhd $\unrhd$ \unrhd
$\oslash$ \oslash $\odot$ \odot $\bigcirc$ \bigcirc
$\triangleleft$ \triangleleft $\Diamond$ \Diamond $\bigtriangleup$ \bigtriangleup
$\bigtriangledown$ \bigtriangledown $\Box$ \Box $\triangleright$ \triangleright
$\setminus$ \setminus $\wr$ \wr $\sqrt{x}$ \sqrt{x}
$x^{\circ}$ x^{\circ} $\triangledown$ \triangledown $\sqrt[n]{x}$ \sqrt[n]{x}
$a^x$ a^x $a^{xyz}$ a^{xyz} $a_x$ a_x

Relations

Symbol Command Symbol Command Symbol Command
$\le$ \le $\ge$ \ge $\neq$ \neq
$\sim$ \sim $\ll$ \ll $\gg$ \gg
$\doteq$ \doteq $\simeq$ \simeq $\subset$ \subset
$\supset$ \supset $\approx$ \approx $\asymp$ \asymp
$\subseteq$ \subseteq $\supseteq$ \supseteq $\cong$ \cong
$\smile$ \smile $\sqsubset$ \sqsubset $\sqsupset$ \sqsupset
$\equiv$ \equiv $\frown$ \frown $\sqsubseteq$ \sqsubseteq
$\sqsupseteq$ \sqsupseteq $\propto$ \propto $\bowtie$ \bowtie
$\in$ \in $\ni$ \ni $\prec$ \prec
$\succ$ \succ $\vdash$ \vdash $\dashv$ \dashv
$\preceq$ \preceq $\succeq$ \succeq $\models$ \models
$\perp$ \perp $\parallel$ \parallel
$\mid$ \mid $\bumpeq$ \bumpeq

Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an "n" between the \ and the word. Here are a couple examples, plus many other negations; it works for many of the many others as well.

Symbol Command Symbol Command Symbol Command
$\nmid$ \nmid $\nleq$ \nleq $\ngeq$ \ngeq
$\nsim$ \nsim $\ncong$ \ncong $\nparallel$ \nparallel
$\not<$ \not< $\not>$ \not> $\not=$ \not= or \neq or \ne
$\not\le$ \not\le $\not\ge$ \not\ge $\not\sim$ \not\sim
$\not \approx$ \not\approx $\not\cong$ \not\cong $\not\equiv$ \not\equiv
$\not\parallel$ \not\parallel $\nless$ \nless $\ngtr$ \ngtr
$\lneq$ \lneq $\gneq$ \gneq $\lnsim$ \lnsim
$\lneqq$ \lneqq $\gneqq$ \gneqq

To use other relations not listed here, such as $=$, $>$, and $<$, in $\LaTeX$, you must use the symbols on your keyboard, as they are not available in $\LaTeX$.

Greek Letters

Lowercase Letters
Symbol Command Symbol Command Symbol Command Symbol Command
$\alpha$ \alpha $\beta$ \beta $\gamma$ \gamma $\delta$ \delta
$\epsilon$ \epsilon $\varepsilon$ \varepsilon $\zeta$ \zeta $\eta$ \eta
$\theta$ \theta $\vartheta$ \vartheta $\iota$ \iota $\kappa$ \kappa
$\lambda$ \lambda $\mu$ \mu $\nu$ \nu $\xi$ \xi
$\pi$ \pi $\varpi$ \varpi $\rho$ \rho $\varrho$ \varrho
$\sigma$ \sigma $\varsigma$ \varsigma $\tau$ \tau $\upsilon$ \upsilon
$\phi$ \phi $\varphi$ \varphi $\chi$ \chi $\psi$ \psi
$\omega$ \omega


Capital Letters
Symbol Command Symbol Command Symbol Command Symbol Command
$\Gamma$ \Gamma $\Delta$ \Delta $\Theta$ \Theta $\Lambda$ \Lambda
$\Xi$ \Xi $\Pi$ \Pi $\Sigma$ \Sigma $\Upsilon$ \Upsilon
$\Phi$ \Phi $\Psi$ \Psi $\Omega$ \Omega

Arrows

Symbol Command Symbol Command
$\gets$ \gets $\to$ \to
$\leftarrow$ \leftarrow $\Leftarrow$ \Leftarrow
$\rightarrow$ \rightarrow $\Rightarrow$ \Rightarrow
$\leftrightarrow$ \leftrightarrow $\Leftrightarrow$ \Leftrightarrow
$\mapsto$ \mapsto $\hookleftarrow$ \hookleftarrow
$\leftharpoonup$ \leftharpoonup $\leftharpoondown$ \leftharpoondown
$\rightleftharpoons$ \rightleftharpoons $\longleftarrow$ \longleftarrow
$\Longleftarrow$ \Longleftarrow $\longrightarrow$ \longrightarrow
$\Longrightarrow$ \Longrightarrow $\longleftrightarrow$ \longleftrightarrow
$\Longleftrightarrow$ \Longleftrightarrow $\longmapsto$ \longmapsto
$\hookrightarrow$ \hookrightarrow $\rightharpoonup$ \rightharpoonup
$\rightharpoondown$ \rightharpoondown $\leadsto$ \leadsto
$\uparrow$ \uparrow $\Uparrow$ \Uparrow
$\downarrow$ \downarrow $\Downarrow$ \Downarrow
$\updownarrow$ \updownarrow $\Updownarrow$ \Updownarrow
$\nearrow$ \nearrow $\searrow$ \searrow
$\swarrow$ \swarrow $\nwarrow$ \nwarrow
$\overrightarrow{AB}$ \overrightarrow{AB} $\overleftarrow{AB}$ \overleftarrow{AB}
$\overleftrightarrow{AB}$ \overleftrightarrow{AB}

(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)

Dots

Symbol Command Symbol Command
$\cdot$ \cdot $\vdots$ \vdots
$\dots$ \dots $\ddots$ \ddots
$\cdots$ \cdots $\iddots$ \iddots

Accents

Symbol Command Symbol Command Symbol Command
$\hat{x}$ \hat{x} $\check{x}$ \check{x} $\dot{x}$ \dot{x}
$\breve{x}$ \breve{x} $\acute{x}$ \acute{x} $\ddot{x}$ \ddot{x}
$\grave{x}$ \grave{x} $\tilde{x}$ \tilde{x} $\mathring{x}$ \mathring{x}
$\bar{x}$ \bar{x} $\vec{x}$ \vec{x}

When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:

Symbol Command Symbol Command
$\vec{\jmath}$ \vec{\jmath} $\tilde{\imath}$ \tilde{\imath}

\tilde and \hat have wide versions that allow you to accent an expression:

Symbol Command Symbol Command
$\widehat{7+x}$ \widehat{7+x} $\widetilde{abc}$ \widetilde{abc}

Others

Symbol Command Symbol Command Symbol Command
$\infty$ \infty $\triangle$ \triangle $\angle$ \angle
$\aleph$ \aleph $\hbar$ \hbar $\imath$ \imath
$\jmath$ \jmath $\ell$ \ell $\wp$ \wp
$\Re$ \Re $\Im$ \Im $\mho$ \mho
$\prime$ \prime $\emptyset$ \emptyset $\nabla$ \nabla
$\surd$ \surd $\partial$ \partial $\top$ \top
$\bot$ \bot $\vdash$ \vdash $\dashv$ \dashv
$\forall$ \forall $\exists$ \exists $\neg$ \neg
$\flat$ \flat $\natural$ \natural $\sharp$ \sharp
$\backslash$ \backslash $\Box$ \Box $\Diamond$ \Diamond
$\clubsuit$ \clubsuit $\diamondsuit$ \diamondsuit $\heartsuit$ \heartsuit
$\spadesuit$ \spadesuit $\Join$ \Join $\blacksquare$ \blacksquare
$\diamondsuit$ \diamondsuit $\copyright$ \copyright $\underarc{XYZ}$ \underarc{XYZ}
$\heartsuit$ \heartsuit $\overarc{ABC}$ \overarc{ABC} $\cup$ \cup
$\S$ \S $\P$ \P $\Vdash$ \Vdash
$\pounds$ \pounds $\in$ \in $\vDash$ \vDash
$\bigstar$ \bigstar $\implies$ \implies $\LaTeX$ \LaTeX
$\square$ \square $\text{\LaTeX}$ \text{\LaTeX}
$\smiley$ \smiley
$\mathbb{R}$ \mathbb{R} (represents all real numbers)
$\checkmark$ \checkmark
$\cancer$ \cancer

Note: $\cancer$ and $\overarc{ABC}$ do not work in the classroom.

Command Symbols

Some symbols are used in commands, so they need to be treated in a special way.

Symbol Command Symbol Command Symbol Command Symbol Command
$\textdollar$ \textdollar or \$ $\&$ \& $\%$ \% $\#$ \#
$\_$ \_ $\{$ \{ $\}$ \} $\backslash$ \backslash

(Warning: Using $ for $\textdollar$ will result in $$. This is a bug as far as we know. Depending on the version of $\LaTeX$ this is not always a problem.)

European Language Symbols

Symbol Command Symbol Command Symbol Command Symbol Command
${\oe}$ {\oe} ${\ae}$ {\ae} ${\o}$ {\o}
${\OE}$ {\OE} ${\AE}$ {\AE} ${\AA}$ {\AA} ${\O}$ {\O}
${\l}$ {\l} ${\ss}$ {\ss} $\text{!`}$ !`
${\L}$ {\L} ${\SS}$ {\SS}

Bracketing Symbols

In mathematics, sometimes we need to enclose expressions in brackets, braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:

Symbol Command Symbol Command Symbol Command
$\{$ \{ $\}$ \} $\|$ \|
$\backslash$ \backslash $\lfloor$ \lfloor $\rfloor$ \rfloor
$\lceil$ \lceil $\rceil$ \rceil $\langle$ \langle
$\rangle$ \rangle

You might notice that if you use any of these to typeset an expression that is vertically large, like

(\frac{a}{x} )^2

the parentheses don't come out the right size:

$(\frac{a}{x})^2$

If we put \left and \right before the relevant parentheses, we get a prettier expression:

\left(\frac{a}{x} \right)^2

gives

$\left(\frac{a}{x} \right)^2$

For systems of equations or piecewise functions, use the cases environment:

f(x) = \begin{cases} x^2 &\text{if } x \ge 0 \\ x &\text{if } x < 0 \end{cases}

which gives

$f(x) = \begin{cases} x^2 &\text{if } x \ge 0 \\ x &\text{if } x < 0 \end{cases}$

In addition to the \left and \right commands, when doing floor or ceiling functions with fractions, using

\left\lceil\frac{x}{y}\right\rceil

and \left\lfloor\frac{x}{y}\right\rfloor

gives both $\left\lceil\frac{x}{y}\right\rceil$ and $\left\lfloor\frac{x}{y}\right\rfloor$, respectively.


And, if you type this

\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}

Gives

$\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}$

Or

\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}

Gives

$\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}$


\left and \right can also be used to resize the following symbols:

Symbol Command Symbol Command Symbol Command
$\uparrow$ \uparrow $\downarrow$ \downarrow $\updownarrow$ \updownarrow
$\Uparrow$ \Uparrow $\Downarrow$ \Downarrow $\Updownarrow$ \Updownarrow

Multi-Size Symbols

Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use \[...\] or $$...$$, or environments like \begin{equation}...\end{equation} or \begin{align}...\end{align}. Read more in the commands section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.

In each of the following, the two images show the symbol in display mode, then in inline mode.

Symbol Command Symbol Command Symbol Command
$\sum \textstyle\sum$ \sum $\int \textstyle\int$ \int $\oint \textstyle\oint$ \oint
$\prod \textstyle\prod$ \prod $\coprod \textstyle\coprod$ \coprod $\bigcap \textstyle\bigcap$ \bigcap
$\bigcup \textstyle\bigcup$ \bigcup $\bigsqcup \textstyle\bigsqcup$ \bigsqcup $\bigvee \textstyle\bigvee$ \bigvee
$\bigwedge \textstyle\bigwedge$ \bigwedge $\bigodot \textstyle\bigodot$ \bigodot $\bigotimes \textstyle\bigotimes$ \bigotimes
$\bigoplus \textstyle\bigoplus$ \bigoplus $\biguplus \textstyle\biguplus$ \biguplus

See More

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&oldid=227854"