Math Notation Help

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\

\_ (where _ is blank)

Ordinary whitespace to be used after a dot not denoting the end of a sentence
After commands without parameters use \~ (tilde) instead in order to avoid browser specific problems

Keyword(s):

\,

\, inserts the smallest predefined space in a formula
Equivalent: \hspace{2}
Ex.: $$$a\,b$$$ gives $$a\,b$$
Ex.: $$$a~\hspace{2}~b$$$ gives also $$a~\hspace{2}~b$$

Keyword(s):

\;

\; (backslash semicolon) inserts the third smallest predefined space in a formula
Equivalent: \hspace{6}
Ex.: $$$a\;b$$$ gives $$a\;b$$
Ex.: $$$a~\hspace{6}~b$$$ gives also $$a~\hspace{6}~b$$

Keyword(s):

\:

\: inserts the second smallest predefined space in a formula
Equivalent: \hspace{4}
Ex.: $$$a\:b$$$ gives $$a\:b$$
Ex.: $$$a~\hspace{4}~b$$$ gives also $$a~\hspace{4}~b$$

Keyword(s):

\/ (backslash slash)

\/ (backslash slash) avoids ligatures
Ex.: $$$V\/A$$$ gives $$V\/A$$ in contrast to $$$VA$$$ which gives $$VA$$

Keyword(s):

\~

In order to prevent some browser specific problems with whitespaces, it is advisable to use ~ (tilde) as the whitespace instead of the normal blank key (in places where whitespaces are mandatory, e.g. after commands).
Ex.: $$$\frac~xy$$$ to produce $$\frac~xy$$
Ex.: $$$\sqrt~n$$$ to produce $$\sqrt~n$$

Keyword(s):

\hspace{n}

inserts a space of n pixels
Ex.: $$$f(x)\hspace{6}=\hspace{6}0$$$ gives $$f(x)\hspace{6}=\hspace{6}0$$
can be combined with the preceding command \unitlength{m}(default: m=1px) , which defines the applied unit
Ex.: $$$\unitlength{20}a\hspace{2}b$$$ gives $$\unitlength{20}a\hspace{2}b$$ , i.e. a space of 20x2=40px

Keyword(s):

\LARGE (all capital letters)

Everthing following the \LARGE command will be output in the largest predefined font size until the system encounters another font size command.
Note: This command is case sensitive, since large, Large and LARGE are different sizes!
Ex.: $$$\LARGE~3x$$$ gives $$\LARGE~3x$$

Keyword(s):

\Large (L capital letter)

Everthing following the \Large command will be output in the second largest font size until the system encounters another font size command.
Note: This command is case sensitive, since large, Large and LARGE are different sizes!
Ex.: $$$\Large~3x$$$ gives $$\Large~3x$$

Keyword(s):

\large (all lower case letters)

Everthing following the \large command will be output in the large font size until the system encounters another font size command.
Note: This command is case sensitive, since large, Large and LARGE are different sizes!
Ex.: $$$\large~3x$$$ gives $$\large~3x$$

Keyword(s):

\normalsize

Everthing following the \normalsize command will be output in the smallest predefined font size until the system encounters another font size command.
\normalsize is the default font size, i.e. the size automatically chosen if there is no font size command
Ex.: $$$\normalsize~3x$$$ gives $$\normalsize~3x$$

Keyword(s):

\qquad

inserts a double space of current character set size
Ex.: $$$a\qquad~b$$$ gives $$a\qquad~b$$

Keyword(s):

\quad

inserts a space of current character set size
Ex.: $$$a\quad~b$$$ gives $$a\quad~b$$

Keyword(s):

\small

\small
Ex.: $$$\small~3x$$$ gives $$\small~3x$$

Keyword(s):

\tiny

Everthing following the \tiny command will be output in the smallest predefined font size until the system encounters another font size command.
Ex.: $$$\tiny~3x$$$ gives $$\tiny~3x$$

Keyword(s):

A

absolute font sizes (overview)

Absolute Font Sizes
Command	Example	Result
\tiny	$$$\tiny 3x$$$	$$\tiny 3x$$
\small	$$$\small 3x$$$	$$\small 3x$$
\normalsize (default)	$$$\normalsize 3x$$$ or just $$$3x$$$	$$\normalsize 3x$$
\large	$$$\large 3x$$$	$$\large 3x$$
\Large	$$$\Large 3x$$$	$$\Large 3x$$
\LARGE	$$$\LARGE 3x$$$	$$\LARGE 3x$$

\huge and \Huge are not supported by the mimeTeX filter

algebraic expression

using @@@ x=y^2@@@ to create @@ x=y^2@@

Keyword(s):

alpha (lower case greek letter)

$$$\alpha$$$ gives $$\alpha$$

angle bracket

Syntax: \left<...\right>
Ex.: $$$\left<f,g\right>$$$ gives

$$\left<f,g\right>$$

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.

array

$$$\begin{array}{|ccc|}a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3\end{array}$$$ is $$\begin{array}{|ccc|}a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3\end{array}$$

Keyword(s):

B

beta (lower case greek letter)

$$$\beta$$$ gives $$\beta$$

big sum

$$$\bigsum_{n+2}^x$$$ is $$\bigsum_{n+2}^x$$

braces

Syntax: \left{...\right}
Ex.: $$$M=\left{a, b, c\right}$$$ gives

$$M=\left{a, b, c\right}$$

C

cdot (multiplication)

$$$a\cdot~b$$$ gives $$a\cdot~b$$

chi (lower case greek letter)

$$$\chi$$$ gives $$\chi$$

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

$$f(x)=3a+x$$

contour integral

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Syntax for the contour integral symbol:

$$$\bigoint_{0}^{\infty}$$$ gives

$$\bigoint_{0}^{\infty}$$

and

$$$\oint_{0}^{\infty}$$$ gives

$$\oint_{0}^{\infty}$$

Use font size commands for a nicer picture:

$$$\LARGE\bigoint_{\small0}^{\small\infty}$$$ gives

$$\LARGE\bigoint_{\small0}^{\small\infty}$$

and

$$$\large\oint_{\small0}^{\small\infty}$$$ gives

$$\large\oint_{\small0}^{\small\infty}$$

coproduct

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Note: mimeTeX seems currently only to support the \bigcoprod command.
Syntax for coproduct symbol:

$$$\bigcoprod_{i=k}^{n}$$$ gives

$$\bigcoprod_{i=k}^{n}$$

Use font size commands for a nicer picture:

$$$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$$$ gives

$$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$$

Keyword(s):

D

delimiters (overview)

Delimiters (parentheses, braces, brackets. ...)
Command	Example	Result
\left(... \right)	$$$2\left(a+b\right)$$$	$$2~\left(a+b\right)$$
\left[... \right]	$$$\left[a^2+b^2~\right]$$$	$$\left[a^2+b^2~\right]$$
\left{... \right}	$$$\left{x^2, x^3, x^4,... \right}$$$	$$\left{x^2, x^3, x^4,... \right}$$
\left\langle... \right\rangle	$$$\left\langle a,b~\right\rangle$$$	$$\left\langle a,b~\right\rangle$$
\left\| ... \right\|	$$$\det\left\|\array{a&b\\c&d}\right\| $$$	$$\det\left\|\array{a&b\\c&d}\right\| $$
\left\\| ... \right\\|	$$$\left\\|f~\right\\|$$$	$$\left\\|f~\right\\|$$
\left{ ... \right<strong>.</strong></p><p><font color="#ff0000"><em>(note the dot!)</em></font></p></td><td valign="top" width="33%"><p>$$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$$ (\rm switches to roman style)	$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$
\left.{ ... \right\} (note the dot!)	$$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$$	$$\left.{{\rm~term1\atop \rm~term2}\right}=y$$

Note: The delimiters are automatically sizes.

delta

$$$\delta$$$ is $$\delta $$

Keyword(s):

Delta (upper case greek letter)

$$$\Delta$$$ gives $$\Delta$$

delta (lower case greek letter)

$$$\delta$$$ gives $$\delta $$

Keyword(s):

div (division)

$$$x\div~y$$$ gives $$x\div~y$$

division

@@@1/2@@@ is @@1/2@@

Keyword(s):

double vertical line (norm symbol)

Syntax: \left\|...\right\|
Exp.: $$$\left\|af\right\| = \left|a\right|\left\|f\right\|$$$ gives

Keyword(s):

E

epsilon (lower case greek letter)

$$$\epsilon$$$ gives $$\epsilon$$

equals

@@@x=2@@@ is @@x=2@@

Keyword(s):

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):

eta (lower case greek letter)

$$$\eta$$$ gives $$\eta$$

F

formula box

$$$\fbox{x=\frac12}$$$ is $$\fbox{x=\frac12}$$

Keyword(s):

fraction

$$$$\frac1{1-x}$$$$ is $$$\frac1{1-x}$$$

Keyword(s):

G

gamma (lower case greek letter)

$$$\gamma$$$ gives $$\gamma$$

Gamma (upper case greek letter)

$$$\Gamma$$$ gives $$\Gamma$$

greater than

@@@x>y@@@ is @@x>y@@

Keyword(s):

greater than or equal

$$$x\ge~y$$$ or $$$x\geq~y$$$ gives

$$x\ge~y$$

Keyword(s):

greek letters (overview)

Simply write \greekletter for lower case and \Greekletter for upper case.

Here's a list of all known greek letters (Note: not all upper case greek letters are known):

Lower Case Greek Letters:

Command	Filter Expression	Result
\alpha	$$$\alpha$$$	$$\alpha$$
\beta	$$$\beta$$$	$$\beta$$
\gamma	$$$\gamma$$$	$$\gamma$$
\delta	$$$\delta$$$	$$\delta$$
\epsilon	$$$\epsilon$$$	$$\epsilon$$
\varepsilon	$$$\varepsilon$$$	$$\varepsilon$$
\zeta	$$$\zeta$$$	$$\zeta$$
\eta	$$$\eta$$$	$$\eta$$
\theta	$$$\theta$$$	$$\theta$$
\vartheta	$$$\vartheta$$$	$$\vartheta$$
\iota	$$$\iota$$$	$$\iota$$
\kappa	$$$\kappa$$$	$$\kappa$$
\lambda	$$$\lambda$$$	$$\lambda$$
\mu	$$$\mu$$$	$$\mu$$
\nu	$$$\nu$$$	$$\nu$$
\xi	$$$\xi$$$	$$\xi$$
o (!)	$$$o$$$	$$o$$
\pi	$$$\pi$$$	$$\pi$$
\varpi	$$$\varpi$$$	$$\varpi$$
\rho	$$$\rho$$$	$$\rho$$
\varrho	$$$\varrho$$$	$$\varrho$$
\sigma	$$$\sigma$$$	$$\sigma$$
\varsigma	$$$\varsima$$$	$$\varsigma$$
\tau	$$$\tau$$$	$$\tau$$
\upsilon	$$$\upsilon$$$	$$\upsilon$$
\phi	$$$\phi$$$	$$\phi$$
\varphi	$$$\varphi$$$	$$\varphi$$
\chi	$$$\chi$$$	$$\chi$$
\psi	$$$\psi$$$	$$\psi$$
\omega	$$$\omega$$$	$$\omega$$

Upper Case Greek Letters:

Command	Filter Expression	Result
\Gamma	$$$\Gamma$$$	$$\Gamma$$
\Delta	$$$\Delta$$$	$$\Delta$$
\Theta	$$$\Theta$$$	$$\Theta$$
\Lambda	$$$\Lambda$$$	$$\Lambda$$
\Xi	$$$\Xi$$$	$$\Xi$$
\Pi	$$$\Pi$$$	$$\Pi$$
\Sigma	$$$\Sigma$$$	$$\Sigma$$
\Upsilon	$$$\Upsilon$$$	$$\Upsilon$$
\Phi	$$$\Phi$$$	$$\Phi$$
\Psi	$$$\Psi$$$	$$\Psi$$
\Omega	$$$\Omega$$$	$$\Omega$$

I

infinity

$$$\infty$$$ is $$\infty$$

Keyword(s):

integral

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Syntax for integral symbol:

$$$\bigint_{0}^{\infty}$$$ gives

$$\bigint_{0}^{\infty}$$

and

$$$\int_{0}^{\infty}$$$ gives

$$\int_{0}^{\infty}$$

Use font size commands for a nicer picture:

$$$\LARGE\bigint_{\small0}^{\small\infty}$$$ gives

$$\LARGE\bigint_{\small0}^{\small\infty}$$

and

$$$\large\int_{\small0}^{\small\infty}$$$ gives

$$\large\int_{\small0}^{\small\infty}$$

Keyword(s):

iota (lower case greek letter)

$$$\iota$$$ gives $$\iota$$

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):

left only brace

Syntax: \left{...\right. (note the dot at the end!)</li><li>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

$$$<$$$ is $$<$$

Keyword(s):

less than or equal

$$$x\le~y$$$ or $$$x\leq~y$$$ gives

$$x\le~y$$

Keyword(s):

M

Math Help

I read over the glossary.

-ctd

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.

Keyword(s):

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):

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&...&a_1n\\a₂₁&...&a_2n\\... \\a_m1&...&a_mn\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):

minus

$$$-$$$ is $$-$$

Keyword(s):

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):

multiplication (with cdot)

$$$a\cdot~b$$$ gives $$a\cdot~b$$

Keyword(s):

N

not equal

@@@x<>y@@@ is @@x<>y@@

Keyword(s):

nu (lower case greek letter)

$$$\nu$$$ gives $$\nu$$

O

omega (lower case greek letter)

$$$\omega$$$ gives $$\omega$$

Omega (upper case greek letter)

$$$\Omega$$$ gives $$\Omega$$

omikron (lower case greek letter)

$$$o$$$ gives $$o$$

(note this exceptional syntax!)

P

parentheses

Syntax: \left(...\right) or $...$
Ex.: $$$2a\left(b+c\right)$$$ gives

$$2a\left(b+c\right)$$

phi (lower case greek letter)

$$$\phi$$$ gives $$\phi$$

Phi (upper case greek letter)

$$$\Phi$$$ gives $$\Phi$$

pi

$$$x=\pi r^2$$$ is $$x=\pi r^2$$

Keyword(s):

pi (lower case greek letter)

$$$\pi$$$ gives $$\pi$$

Pi (upper case greek letter)

$$$\Pi$$$ gives $$\Pi$$

plus

$$$+$$$ is $$+$$

Keyword(s):

plus minus

$$$a\pm~b$$$ gives $$a\pm~b$$

product

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Syntax for product symbol:

$$$\bigprod_{i=k}^{n}$$$ gives

$$\bigprod_{i=k}^{n}$$

and

$$$\prod_{i=k}^{n}$$$ gives

$$\prod_{i=k}^{n}$$

Use font size commands for a nicer picture:

$$$\LARGE\bigprod_{\tiny{i=k}}^{\tiny{n}}$$$ gives

$$\LARGE\bigprod_{\tiny{i=k}}^{\tiny{n}}$$

and

$$$\large\prod_{\small{i=k}}^{\small{n}}$$$ gives

$$\large\prod_{\small{i=k}}^{\small{n}}$$

psi (lower case greek letter)

$$$\psi$$$ gives $$\psi$$

Psi (upper case greek letter)

$$$\Psi$$$ gives $$\Psi$$

R

relativity

$$E=mc^2$$

Keyword(s):

rho (lower case greek letter)

$$$\rho$$$ gives $$\rho$$

right only brace

Syntax: \left.{...\right} (note the dot!)
Ex.: $$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$$ gives

$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$

(\rm~something switches to roman style)

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):

S

s.u.m

$$$\sum_{n+2}^x$$$ is $$\sum_{n+2}^x$$

Keyword(s):

sigma (lower case greek letter)

$$$\sigma$$$ gives $$\sigma$$

Sigma (upper case greek letter)

$$$\Sigma$$$ gives $$\Sigma$$

smiley

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

Keyword(s):

square bracket

Synatx: \left[...\right]
Ex.: $$$\left[a,b\right]$$$ gives $$\left[a,b\right]$$

square root

@@@sqrt{x}@@@ is @@sqrt(x)@@

Keyword(s):

subscript

underscore $$$x_2$$$ is $$x_2$$

Keyword(s):

sum (summation)

General syntax for symbols with a kind of lower and upper limits:

\symbolname_{lowerexpression}^{upperexpression}

In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.
Syntax for summation symbol:

$$$\bigsum_{i=k}^{n}$$$ gives

$$\bigsum_{i=k}^{n}$$

and

$$$\sum_{i=k}^{n}$$$ gives

$$\sum_{i=k}^{n}$$

Use font size commands for a nicer picture:

$$$\LARGE\bigsum_{\small{i=1}}^{\small{n}}$$$ gives

$$\LARGE\bigsum_{\small{i=1}}^{\small{n}}$$

and

$$$\large\sum_{\small{i=1}}^{\small{n}}$$$ gives

$$\large\sum_{\small{i=1}}^{\small{n}}$$

Keyword(s):

superscript

$$$x^2$$$ or $$$x^3$$$ is $$x^2$$ or $$x^3$$

Keyword(s):

T

tau (lower case greek letter)

$$$\tau$$$ gives $$\tau$$

TeX

$$TeX$$ notation allows for the expression of ASCII characters to generate formatted graphics output

Keyword(s):

theta (lower case greek letter)

$$$\theta$$$ gives $$\theta$$

Theta (upper case greek letter)

$$$\Theta$$$ gives $$\Theta$$

times

$$$a\times~b$$$ gives $$a\times~b$$

triangle

$$$\Delta$$$ is $$\Delta$$

Keyword(s):

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):

U

upsilon (lower case greek letter)

$$$\upsilon$$$ gives $$\upsilon$$

Upsilon (upper case greek letter)

$$$\Upsilon$$$ gives $$\Upsilon$$

V

varepsilon (special lower case greek letter)

$$$\varepsilon$$$ gives $$\varepsilon$$

variables

Variables in formulas are rendered in italic roman font face, which is a widely used convention.
Following this convention, constants are shown as non-italic.
Exp.: $$$f(x)=3a+x$$$ gives

$$f(x)=3a+x$$

varphi (special lower case greek letter)

$$$\varphi$$$ gives $$\varphi$$

varpi (special lower case greek letter)

$$$\varpi$$$ gives $$\varpi$$

varrho (special lower case greek letter)

$$$\varrho$$$ gives $$\varrho$$

varsigma (special lower greek letter)

$$$\varsigma$$$ gives $$\varsigma$$

vartheta (special lower case greek letter)

$$$\vartheta$$$ gives $$\vartheta$$

vertical line (absolute value, determinant, ...etc. symbol)

Syntax: \left|...\right|
Ex.: $$$\left|b-a\right|$$$ gives $$\left|b-a\right|$$
Ex.: $$${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$$$ gives

$${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$$

("\rm~something" renders "something" in roman style)

Keyword(s):

X

xi (lower case greek letter)

$$$\xi$$$ gives $$\xi$$

Xi (upper case greek letter)

$$$\Xi$$$ gives $$\Xi$$

Z

zeta (lower case greek letter)

$$$\zeta$$$ gives $$\zeta$$

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