Monday, June 1, 2020, 3:58 PM
Site: Saint Martin's University Moodle
Course: Saint Martin's University Moodle (SMU)
Glossary: Math Notation Help
04 DELIMITERS (PARENTHESES, BRACES,...)

#### braces

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

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

#### 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.

#### double vertical line (norm symbol)

• Syntax: \left\|...\right\|
• Exp.: $$\left\|af\right\| = \left|a\right|\left\|f\right\|$$ gives

$\left\|af\right\| = \left|a\right|\left\|f\right\|$

#### left only brace

• Syntax: \left{...\right.  (note the dot at the end!)
• Ex.: $$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$ gives

$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$

(\rm~something switches to roman style)

#### parentheses

• Syntax: \left(...\right) or $...$
• Ex.: $$2a\left(b+c\right)$$ gives

$2a\left(b+c\right)$

#### right only brace

• Syntax: \left.{...\right}  (note the dot!)
• Ex.: $$\left.{{\rm~term1\atop\rm~term2}\right}=y$$ gives

$\left.{{\rm~term1\atop\rm~term2}\right}=y$

(\rm~something switches to roman style)

#### square bracket

• Synatx: \left[...\right]
• Ex.: $$\left[a,b\right]$$ gives $\left[a,b\right]$

#### vertical line (absolute value, determinant, ...etc. symbol)

• Syntax: \left|...\right|
• Ex.: $$\left|b-a\right|$$ gives $\left|b-a\right|$
• Ex.: $${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$$ gives

${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$

("\rm~something" renders "something" in roman style)

05 SPACES

#### \_ (where _ is blank)

• Ordinary whitespace to be used after a dot not denoting the end of a sentence
• After commands without parameters use \~ (tilde) instead in order to avoid browser specific problems

#### \,

• \, inserts the smallest predefined space in a formula
• Equivalent: \hspace{2}
• Ex.: $$a\,b$$ gives $a\,b$
• Ex.: $$a~\hspace{2}~b$$ gives also $a~\hspace{2}~b$