Difference between revisions of "LaTeX:Symbols"
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<math>\cancer</math>\cancer  <math>\cancer</math>\cancer  
}  }  
−  Note: <math>\cancer</math>  +  Note: <math>\cancer</math> and <math>\overarc{ABC}</math> do not work in the classroom. 
==Command Symbols==  ==Command Symbols== 
Revision as of 20:46, 10 August 2022
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.
Contents
Finding Other Symbols
Here are some external resources for finding less commonly used symbols:

Detexify is an online application which allows you to draw the symbol you'd like and shows you the code for it!

MathJax (what allows us to use on the web, (technically an AJAX library simulating it.)) maintains a list of supported commands.

The Comprehensive LaTeX Symbol List.

Comprehensive List of Mathematical Symbols.
Operators
Symbol  Command  Symbol  Command  Symbol  Command 

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

\le  \ge  \neq  
\sim  \ll  \gg  
\doteq  \simeq  \subset  
\supset  \approx  \asymp  
\subseteq  \supseteq  \cong  
\smile  \sqsubset  \sqsupset  
\equiv  \frown  \sqsubseteq  
\sqsupseteq  \propto  \bowtie  
\in  \ni  \prec  
\succ  \vdash  \dashv  
\preceq  \succeq  \models  
\perp  \parallel  
\mid  \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  \nleq  \ngeq  
\nsim  \ncong  \nparallel  
\not<  \not>  \not= or \neq or \ne  
\not\le  \not\ge  \not\sim  
\not\approx  \not\cong  \not\equiv  
\not\parallel  \nless  \ngtr  
\lneq  \gneq  \lnsim  
\lneqq  \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 .
Greek Letters
Symbol  Command  Symbol  Command  Symbol  Command  Symbol  Command 

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

\Gamma  \Delta  \Theta  \Lambda  
\Xi  \Pi  \Sigma  \Upsilon  
\Phi  \Psi  \Omega 
Arrows
Symbol  Command  Symbol  Command 

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

\hat{x}  \check{x}  \dot{x}  
\breve{x}  \acute{x}  \ddot{x}  
\grave{x}  \tilde{x}  \mathring{x}  
\bar{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}  \tilde{\imath} 
\tilde and \hat have wide versions that allow you to accent an expression:
Symbol  Command  Symbol  Command 

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

\infty  \triangle  \angle  
\aleph  \hbar  \imath  
\jmath  \ell  \wp  
\Re  \Im  \mho  
\prime  \emptyset  \nabla  
\surd  \partial  \top  
\bot  \vdash  \dashv  
\forall  \exists  \neg  
\flat  \natural  \sharp  
\backslash  \Box  \Diamond  
\clubsuit  \diamondsuit  \heartsuit  
\spadesuit  \Join  \blacksquare  
\diamondsuit  \copyright  \underarc{XYZ}  
\heartsuit  \overarc{ABC}  \cup  
\S  \P  \Vdash  
\pounds  \in  \vDash  
\bigstar  
\square  
\smiley  
\mathbb{R} (represents all real numbers)  
\checkmark  
\cancer 
Note: and 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 or \$  \&  \%  \#  
\_  \{  \}  \backslash 
(Warning: Using $ for will result in . This is a bug as far as we know. Depending on the version of this is not always a problem.)
European Language Symbols
Symbol  Command  Symbol  Command  Symbol  Command  Symbol  Command 

{\oe}  {\ae}  {\o}  
{\OE}  {\AE}  {\AA}  {\O}  
{\l}  {\ss}  !`  
{\L}  {\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  \lfloor  \rfloor  
\lceil  \rceil  \langle  
\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:
If we put \left and \right before the relevant parentheses, we get a prettier expression:
 \left(\frac{a}{x} \right)^2
gives
For systems of equations or piecewise functions, use the cases environment:
f(x) = \begin{cases} x^2 & x \ge 0 \\ x & x < 0 \end{cases}
which gives
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 and , respectively.
And, if you type this
\underbrace{a_0+a_1+a_2+\cdots+a_n}_{x}
Gives
Or
\overbrace{a_0+a_1+a_2+\cdots+a_n}^{x}
Gives
\left and \right can also be used to resize the following symbols:
Symbol  Command  Symbol  Command  Symbol  Command 

\uparrow  \downarrow  \updownarrow  
\Uparrow  \Downarrow  \Updownarrow 
MultiSize 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}, \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  \int  \oint  
\prod  \coprod  \bigcap  
\bigcup  \bigsqcup  \bigvee  
\bigwedge  \bigodot  \bigotimes  
\bigoplus  \biguplus 