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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01 GETTING STARTED

escaping the TeX filter

  • With two triple $'s embracing an expression you can make the filter to escape and the code itself is shown (with two embracing double $'s).
  • Ex.: $$$a^2$$$ produces $$a^2$$, i.e. prevents the filter to render it as a formula gif.

mathematics expression

  • A valid expression inside the $'s is rendered as mathematics in an inserted gif image.
  • Ex.: $$x=y^2$$ creates 

x=y^2

triggering the TeX filter

  • Two double $'s embracing a valid math expression trigger the filter to generate and insert the formula gif.
  • Ex.:  $$a^2$$ produces a^2

02 ARITHMETIC EXPRESSIONS, SUB-/SUPERSCRIPTS, ROOTS

arithmetic operations

  • Type arithmetic operations and "=" as usual.
  • Exp.: $$f(x)=x-2b+(3a/c)$$ gives

f(x)=x-2b+(3a/c)

  • See also keyword "fraction" for extended capabilities.

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

fraction

  • Syntax: \frac{numerator}{denominator}
  • Use font sizing commands for specific sizing if you don't want the predefined one to be taken.
  • Ex. (with predefined sizing): $$f(x,y)=\frac{2a}{x+y}$$ gives

f(x,y)=\frac{2a}{x+y}

  • Ex. (with specific sizing): $$f(x,y)=\frac{\fs{2}2a}{\fs{2}x+y}$$ gives

f(x,y)=\frac{\fs{2}2a}{\fs{2}x+y}

  • You may nest fractions as much as you want.
  • Ex. (nested fractions): $$\frac{\frac{a}{x-y}+\frac{b}{x+y}}{1+\frac{a-b}{a+b}}$$ gives

\frac{\frac{a}{x-y}+\frac{b}{x+y}}{1+\frac{a-b}{a+b}}

multiplication (with cdot)

$$a\cdot~b$$ gives a\cdot~b

root

  • Syntax: \sqrt[n]{arg} or simply  \sqrt{arg} for \sqrt[2]{arg}
  • Ex.: $$\sqrt[3]{8}$$ gives

\sqrt[3]{8}

  • Ex.: $$\sqrt{-1}$$ gives

\sqrt{-1}

  • Nesting of roots (and combining with fractions, ...etc.) are possible.
  • Ex.: $$\sqrt[n]{\frac{x^n-y^n}{1+u^{2n}}}$$ gives

\sqrt[n]{\frac{x^n-y^n}{1+u^{2n}}}

  • Ex.: $$\sqrt[3]{-q+\sqrt{q^2+p^3}}$$ gives

\sqrt[3]{-q+\sqrt{q^2+p^3}}

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}}


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