Sunday, March 29, 2020, 8:48 AM
Site: Trinity Moodle
Course: Trinity Moodle (Home)
Glossary: Math Notation Help
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 $\begin{array}{|ccc|}a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3\end{array}$

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

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

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.