## Math Notation Help

This glossary will help you build complex mathematical equations using the Tex markup language. This will involve using @@ or $$before and after the expression to display the desired results.  Search full text Browse the glossary using this index Special | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | ALL Page: (Previous) 1 2 3 4 5 6 7 8 9 10 ... 12 (Next) ALL ### K #### kappa$$\kappa$$gives $\kappa$ ### L #### lambda (lower case greek letter)$$\lambda$$gives $\lambda$ #### Lambda (upper case greek letter)$$\Lambda$$gives $\Lambda$ #### Learning Formula $\frac{success}{problem}=~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$  Keyword(s): learning formula #### left only brace • Syntax: \left{...\right. (note the dot at the end!) • Ex.:$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$gives $f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$ (\rm~something switches to roman style) #### less than$$<$$gives $<$  Keyword(s): less than< #### less than or equal$$x\le~y$$or$$x\leq~y$$gives $x\le~y$  Keyword(s): <= ### M #### math spaces List of predefined spaces:  Math Spaces Command Example Result \, (smallest predefined)$$a\,b$$$a\,b$ \: (second smallest predefined)$$a\:b$$$a\:b$ \; (third smallest predefined)$$a\;b$$$a\;b$ \/ (avoiding ligatures)$$V\/A$$instead of$$VA$$$V\/A$ instead of $VA$ \quad (space of current character set size)$$a\quad~b$$$a\quad~b$ \qquad (double space of current character set size)$$a\qquad~b$$$a\qquad~b$ \_ (where _ is blank!)$$a\ b$$(whereas$$a\b$$is not a valid filter expression since the blank space is missing; it is recommended to use the tilde ~ instead of the simple whitespace) $a\ b$ \hspace{n} ,where n positive integer (= n Pixels)$$a~\hspace{30}~ba~\hspace{15}~ba~\hspace{2}~ba~\hspace{1}~b$$$a~\hspace{30}~b$$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 applied$$a~\hspace{2}~b\unitlength{10}~\hspace{2}~c$$(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.:$$x=y^2$$creates $x=y^2$  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

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