Math Notation Help

This glossary will help you build complex mathematical equations using the Tex markup language. This will involve using @@ or $$ before and after the expression to display the desired results.

Browse the glossary using this index

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A

array

$$\begin{array}{|ccc|}a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3\end{array}$$ is $\begin{array}{|ccc|}a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3\end{array}$

Keyword(s):

B

beta (lower case greek letter)

$$\beta$$ gives

$\beta$

big sum

$$\bigsum_{n+2}^x$$ is $\bigsum_{n+2}^x$

braces

Syntax: \left{...\right}
Ex.: $$M=\left{a, b, c\right}$$ gives

$M=\left{a, b, c\right}$

C

cdot (multiplication)

$$a\cdot~b$$ gives

$a\cdot~b$

chi (lower case greek letter)

$$\chi$$ gives

$\chi$

constants

Numbers in formulas are interpreted as constants and they are rendered in non-italic roman font face, which is a widely used convention.
Following this convention, variables are shown in italic.
Exp.: $$f(x)=3a+x$$ gives

$f(x)=3a+x$

contour integral

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Syntax for the contour integral symbol:

$$\bigoint_{0}^{\infty}$$ gives

$\bigoint_{0}^{\infty}$

and

$$\oint_{0}^{\infty}$$ gives

$\oint_{0}^{\infty}$

Use font size commands for a nicer picture:

$$\LARGE\bigoint_{\small0}^{\small\infty}$$ gives

$\LARGE\bigoint_{\small0}^{\small\infty}$

and

$$\large\oint_{\small0}^{\small\infty}$$ gives

$\large\oint_{\small0}^{\small\infty}$

coproduct

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Note: mimeTeX seems currently only to support the \bigcoprod command.
Syntax for coproduct symbol:

$$\bigcoprod_{i=k}^{n}$$ gives

$\bigcoprod_{i=k}^{n}$

Use font size commands for a nicer picture:

$$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$$ gives

$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$

Keyword(s):

D

delimiters (overview)

Delimiters (parentheses, braces, brackets. ...)
Command	Example	Result
\left(... \right)	$$2\left(a+b\right)$$	$2~\left(a+b\right)$
\left[... \right]	$$\left[a^2+b^2~\right]$$	$\left[a^2+b^2~\right]$
\left{... \right}	$$\left{x^2, x^3, x^4,... \right}$$	$\left{x^2, x^3, x^4,... \right}$
\left\langle... \right\rangle	$$\left\langle a,b~\right\rangle$$	$\left\langle a,b~\right\rangle$
\left\| ... \right\|	$$\det\left\|\array{a&b\\c&d}\right\| $$	$\det\left\|\array{a&b\\c&d}\right\|$
\left\\| ... \right\\|	$$\left\\|f~\right\\|$$	$\left\\|f~\right\\|$
\left{ ... \right. (note the dot!)	$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$ (\rm switches to roman style)	$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$
\left.{ ... \right\} (note the dot!)	$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$	$\left.{{\rm~term1\atop \rm~term2}\right}=y$

Note: The delimiters are automatically sizes.

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