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.


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S

s.u.m

$$\sum_{n+2}^x$$  is  \sum_{n+2}^x

sigma (lower case greek letter)

$$\sigma$$ gives \sigma

Sigma (upper case greek letter)

$$\Sigma$$ gives \Sigma

smiley

$$~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1$\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$$  is ~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1$\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}

square bracket

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

square root

  • $$\sqrt{a}$$ or $$\sqrt~a$$ gives \sqrt~a
  • Use braces for terms with more than one character: $$\sqrt{x+y}$$ gives

\sqrt{x+y}

subscript

  • The command character "_" triggers subscription of the following expression(s).
  • For more than one subscripted character put them in braces {...}.
  • Use font sizing commands for appropriate sizing.
  • Ex.:$$x_1$$ gives

x_1

  • Ex.:$$a_{m+2n}$$ gives

a_{m+2n}

  • Ex. (with specific sizing):  $$x_{\small1}=a_{\small{m+2n}}$$ gives

x_{\small1}=a_{\small{m+2n}}

  • Combine subscripting with superscripting (command character "^").
    Syntax: Expr_{subExpr}^{supExpr}.
  • Ex.: $$A_{\small{i,j,k}}^{\small{-n+2}}$$ gives

A_{\small{i,j,k}}^{\small{-n+2}}

sum (summation)

  • 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 summation symbol:

$$\bigsum_{i=k}^{n}$$   gives  

\bigsum_{i=k}^{n}

and

$$\sum_{i=k}^{n}$$   gives 

\sum_{i=k}^{n}

  • Use font size commands for a nicer picture:

$$\LARGE\bigsum_{\small{i=1}}^{\small{n}}$$   gives  

\LARGE\bigsum_{\small{i=1}}^{\small{n}}

and

$$\large\sum_{\small{i=1}}^{\small{n}}$$   gives 

\large\sum_{\small{i=1}}^{\small{n}}

superscript

  • The command character "^" triggers superscription of the following expression(s).
  • For more than one superscripted character put them in braces {...}.
  • Use font sizing commands for appropriate sizing.
  • Ex.: $$x^2$$ gives

x^2

  • Ex.: $$a^{m+2n}$$ gives

a^{m+2n}

  • Ex. (with specific sizing): $$x^{\small2}=a^{\small{m+2n}}$$ gives

x^{\small2}=a^{\small{m+2n}}

  • Combine superscripting with subscripting (command character "_").
    Syntax: Expr_{subExpr}^{supExpr}.
  • Ex.: $$A_{\small{i,j,k}}^{\small{-n+2}}$$ gives

A_{\small{i,j,k}}^{\small{-n+2}}