## 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^2creates 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+xgives 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$$ Keyword(s): cdot #### root • Syntax: \sqrt[n]{arg} or simply \sqrt{arg} for \sqrt{arg} • Ex.:$$\sqrt{8}gives \sqrt{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{-q+\sqrt{q^2+p^3}}gives \sqrt{-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.:$$x_1gives x_1$$

• 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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