## Math Notation Help

This glossary will help you build complex mathematical equations using the Tex markup language. This will involve using @@ or $$before and after the expression to display the desired results.  All categories Categories All categories Not categorized 01 Getting started 02 Arithmetic expressions, sub-/superscripts, roots 03 Font Styles 04 Delimiters (parentheses, braces,...) 05 Spaces 06 Symbols 07 Relations 09 Structures Page: 1 2 3 4 5 6 7 8 9 10 (Next) ALL ### 01 GETTING STARTED #### escaping the TeX filter • With two triple 's embracing an expression you can make the filter to escape and the code itself is shown (with two embracing double 's). • Ex.:$$$a^2$$produces$$a^2$$, i.e. prevents the filter to render it as a formula gif.  Keyword(s): escape; suppress filter; prevent from filtering #### mathematics expression • A valid expression inside the 's is rendered as mathematics in an inserted gif image. • Ex.:$$x=y^2$$creates $x=y^2$  Keyword(s): mathematics expression #### triggering the TeX filter • Two double 's embracing a valid math expression trigger the filter to generate and insert the formula gif. • Ex.:$$a^2$$produces $a^2$  Keyword(s): trigger, TeX filter, start filter ### 02 ARITHMETIC EXPRESSIONS, SUB-/SUPERSCRIPTS, ROOTS #### arithmetic operations • Type arithmetic operations and "=" as usual. • Exp.:$$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$$gives $a\cdot~b$  Keyword(s): cdot #### root • Syntax: \sqrt[n]{arg} or simply \sqrt{arg} for \sqrt[2]{arg} • Ex.:$$\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}}$$gives $\sqrt[3]{-q+\sqrt{q^2+p^3}}$  Keyword(s): square root #### square root •$$\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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