Wednesday, April 1, 2020, 7:34 AM
Site: Saint Martin's University Moodle
Course: Saint Martin's University Moodle (SMU)
Glossary: Math Notation Help
K

kappa

$$\kappa$$ gives $\kappa$
L

lambda (lower case greek letter)

$$\lambda$$ gives $\lambda$

Lambda (upper case greek letter)

$$\Lambda$$ gives $\Lambda$

Learning Formula

$\frac{success}{problem}=~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$

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

$<$

less than or equal

$$x\le~y$$ or $$x\leq~y$$ gives

$x\le~y$

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) $$a~\hspace{30}~b$$$$a~\hspace{15}~b$$$$a~\hspace{2}~b$$$$a~\hspace{1}~b$$ $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.

mathematics expression

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

$x=y^2$

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.