Department of Mathematics

Math 300: Mathematical Computing

LaTeX Math Symbols

Prepared by L. Kocbach, on the basis of this document (origin: David Carlisle, Manchester University)

File A.tex contains all necessary code
This file is prepared by running
latex A.tex
and cutting the pictures out of the resulting preview. Relevant parts of the latex code are reproduced under each of the pictures.
Some of the symbols have an explanatory text. This text is found in the latex code, mostly stating that they are parts of some spacial setup and cannot be used in standard LaTeX. Each of the figures also has a link to itself.

Greek Letters


t1.gif
t1.gif
 \alpha               \theta               o                  \tau          
 \beta                \vartheta           \pi                 \upsilon      
 \gamma               \gamma              \varpi              \phi          
 \delta               \kappa              \rho                \varphi       
 \epsilon             \lambda             \varrho             \chi          
 \varepsilon          \mu                 \sigma              \psi          
 \zeta                \nu                 \varsigma           \omega        
 \eta                 \xi                                           
                                                                 
 \Gamma               \Lambda             \Sigma              \Psi          
 \Delta               \Xi                 \Upsilon            \Omega        
 \Theta               \Pi                 \Phi




Binary Operation Symbols


t2.gif
t2.gif
 \pm                  \cap                \diamond                    \oplus      
 \mp                  \cup                \bigtriangleup              \ominus     
 \times               \uplus              \bigtriangledown            \otimes     
 \div                 \sqcap              \triangleleft               \oslash     
 \ast                 \sqcup              \triangleright              \odot       
 \star                \vee                \lhd$^b$                    \bigcirc    
 \circ                \wedge              \rhd$^b$                    \dagger     
 \bullet              \setminus           \unlhd$^b$                  \ddagger    
 \cdot                \wr                 \unrhd$^b$                  \amalg      
 +                    -

$^b$ Not predefined in a format based on {\tt basefont.tex}.
     Use one of the style options 
     {\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.




Relation Symbols


t3.gif
t3.gif
 \leq                 \geq                \equiv              \models       
 \prec                \succ               \sim                \perp         
 \preceq              \succeq             \simeq              \mid          
 \ll                  \gg                 \asymp              \parallel     
 \subset              \supset             \approx             \bowtie       
 \subseteq            \supseteq           \cong               \Join$^b$     
 \sqsubset$^b$        \sqsupset$^b$       \neq                \smile        
 \sqsubseteq          \sqsupseteq         \doteq              \frown        
 \in                  \ni                 \propto             =             
 \vdash               \dashv              <                   >             
 :

$^b$ Not predefined in a format based on {\tt basefont.tex}.
     Use one of the style options 
     {\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.



Punctuation Symbols


t4.gif
t4.gif
 ,            ;           \colon              \ldotp              \cdotp


Arrow Symbols

t5.gif
t5.gif
 \leftarrow                   \longleftarrow              \uparrow      
 \Leftarrow                   \Longleftarrow              \Uparrow      
 \rightarrow                  \longrightarrow             \downarrow    
 \Rightarrow                  \Longrightarrow             \Downarrow    
 \leftrightarrow              \longleftrightarrow         \updownarrow  
 \Leftrightarrow              \Longleftrightarrow         \Updownarrow  
 \mapsto                      \longmapsto                 \nearrow      
 \hookleftarrow               \hookrightarrow             \searrow      
 \leftharpoonup               \rightharpoonup             \swarrow      
 \leftharpoondown             \rightharpoondown           \nwarrow      
 \rightleftharpoons           \leadsto$^b$

$^b$ Not predefined in a format based on {\tt basefont.tex}.
     Use one of the style options 
     {\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.





Miscellaneous Symbols

t6.gif
t6.gif
 \ldots               \cdots              \vdots              \ddots        
 \aleph               \prime              \forall             \infty        
 \hbar                \emptyset           \exists             \Box$^b$      
 \imath               \nabla              \neg                \Diamond$^b$  
 \jmath               \surd               \flat               \triangle     
 \ell                 \top                \natural            \clubsuit     
 \wp                  \bot                \sharp              \diamondsuit  
 \Re                  \|                  \backslash          \heartsuit    
 \Im                  \angle              \partial            \spadesuit    
 \mho$^b$             .                   |

$^b$ Not predefined in a format based on {\tt basefont.tex}.
     Use one of the style options 
     {\tt oldlfont}, {\tt newlfont}, {\tt amsfonts} or {\tt amssymb}.


Variable-sized Symbols

t7.gif
t7.gif
 \sum                 \bigcap             \bigodot      
 \prod                \bigcup             \bigotimes    
 \coprod              \bigsqcup           \bigoplus     
 \int                 \bigvee             \biguplus     
 \oint                \bigwedge


Log-like Symbols

t8.gif
t8.gif
 \arccos     \cos       \csc      \exp      \ker         \limsup      \min      \sinh  
 \arcsin     \cosh      \deg      \gcd      \lg          \ln	      \Pr       \sup   
 \arctan     \cot       \det      \hom      \lim         \log	      \sec      \tan   
 \arg        \coth      \dim      \inf      \liminf      \max	      \sin      \tanh


Delimiters

t9.gif
t9.gif
 (                    )                   \uparrow            \Uparrow      
 [                    ]                   \downarrow          \Downarrow    
 \{                   \}                  \updownarrow        \Updownarrow  
 \lfloor              \rfloor             \lceil              \rceil        
 \langle              \rangle             /                   \backslash    
 |                    \|

Large Delimiters

t10.gif
t10.gif
  \rmoustache        \lmoustache         \rgroup            \lgroup 
  \arrowvert         \Arrowvert          \bracevert

Math mode accents


t11.gif
t11.gif
 \hat{a}            \acute{a}         \bar{a}           \dot{a}           \breve{a} 
 \check{a}          \grave{a}         \vec{a}           \ddot{a}          \tilde{a} 

Some other constructions


t12.gif
t12.gif
 \widetilde{abc}                     \widehat{abc}
 \overleftarrow{abc}                 \overrightarrow{abc}
 \overline{abc}                      \underline{abc}
 \overbrace{abc}                     \underbrace{abc}
 \sqrt{abc}                          \sqrt[n]{abc}
 $f'$                                \frac{abc}{xyz}


The "final exam" for this course will take place at 8:00 AM on Tuesday, 12 December. This will be an ordinary 50 minute test. It will be comprehensive, but weighted toward the latter half of the semester. As always, paper notes will be permitted, but no electronic devices will be allowed.




A Solution example is available for the quiz.




Assignment A is posted.

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