## Math Notation Help

This glossary will help you build complex mathematical equations using the Tex markup language. This will involve using @@ or $$before and after the expression to display the desired results. Browse the glossary using this index Special | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | ALL ### M #### math spaces List of predefined spaces:  Math Spaces Command Example Result \, (smallest predefined)$$a\,ba\,b$$\: (second smallest predefined)$$a\:ba\:b$$\; (third smallest predefined)$$a\;ba\;b\/ (avoiding ligatures)V\/A$instead of $$VAV\/A$instead of$VA$$ \quad (space of current character set size) $$a\quad~ba\quad~b$$ \qquad (double space of current character set size) $$a\qquad~ba\qquad~b\_ (where _ is blank!)a\ b(whereas$$a\bis not a valid filter expression since the blank space is missing; it is recommended to use the tilde ~ instead of the simple whitespace)a\ b\hspace{n} ,where n positive integer (= n Pixels)a~\hspace{30}~b$$a~\hspace{15}~b$a~\hspace{2}~b$$$$a~\hspace{1}~ba~\hspace{30}~b$$a~\hspace{15}~b$$a~\hspace{2}~b$$a~\hspace{1}~b\unitlength{m}\hspace{n}, changes the default unit length (m=1px) to be applieda~\hspace{2}~b\unitlength{10}~\hspace{2}~c$(second space is 10x2=20px) $a~\hspace{2}~b\unitlength{10}~\hspace{2}~c$ Note: Simple blank spaces and tildes (~) are ignored by the TeX filter and don't produce any space. You must use one of the defined math spaces to get a visible (extra) space.  Keyword(s): spaces in formulas, predefined spaces #### 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

#### matrix

• An (m,n)-matrix is considered as an array of m*n elements, where the elements of a column are separated by "&" and the rows by "\\".
• Syntax for an (m,n)-matrix:
\begin{array}{colformat}a11&...&a1n\\a21&...&a2n\\... \\am1&...&amn \end{array}

where
colformat defines the format of each of the n columns: l for left, r for right and c for center (hence {ccccc} defines for a (m,5)-matrix in which all columns are centered)

• Ex.: $$\left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)gives \left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)$$

Note in the example above that "lcr" has the effect that column 1 is left aligned, column 2 centered and colums 3 right aligned.

 Keyword(s): matrix, array

#### minus

$$-$is$-$$
 Keyword(s): -minus

#### minus plus

$$\mp~a$gives$\mp~a$$

#### mu (lower case greek letter)

$$\mu$gives$\mu$$

#### multiplication

$$x*y=z$is$x*y=z$$
 Keyword(s): multiplicationmultiply

#### multiplication (with cdot)

$$a\cdot~b$gives$a\cdot~b$$
 Keyword(s): cdot