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Syntax for entering math using ASCIIMathML

ASCIIMathML is an easy way to enter math in Web pages. It is used throughout IntMath.com. The math is rendered using KaTeX.

This is what you can use when sending a math mail using the IntMath mail system.

Greek letters
(lower case)
TypeSee
alpha α
beta β
gamma γ
delta δ
epsilon ε
varepsilon ϵ
zeta ζ
eta η
theta θ
vartheta ϑ
iota ι
kappa κ
lambda λ
mu μ
nu ν
xi ξ
omicron ο
pi π
rho ρ
sigma σ
tau τ
upsilon υ
phi φ
varphi ϕ
chi χ
psi ψ
omega ω
Greek letters
(upper case)
TypeSee
A A
B B
Gamma Γ
Delta Δ
E E
Z Z
H H
Theta Θ
I I
K K
Lambda Λ
M M
N N
Xi Ξ
O Ο
Pi Π
P R
Sigma Σ
T T
Y Y
Phi Φ
X X
Psi Ψ
Omega Ω
Relation symbols
TypeSee
==
!=
< <
>>
<=
>=
-<
>-
in
!in
sub
sup
sube
supe
-=
~=
~~
prop
Font commands
Type See
bb A `bb A`
bbb A `bbb A`
cc A `cc A`
tt A `tt A`
fr A `fr A`
sf A `sf A`
Miscellaneous symbols
TypeSee
int`int`
oint`oint`
del`del`
grad`grad`
+-`+-`
O/`O/`
oo`oo`
aleph`aleph`
/_`/_`
:.`:.`
|...||`...`|
|cdots||`cdots`|
vdots`vdots`
ddots`ddots`
|\ ||`|
|quad||`quad`|
diamond`diamond`
|__`|__`
__|`__|`
|~`|~`
~|`~|`
CC`CC`
NN`NN`
QQ`QQ`
RR`RR`
ZZ`ZZ`
Operation symbols
Type See
+ `+`
- `-`
* `*`
** `**`
// `//`
\\ `\
xx `xx`
-: `-:`
@ `@`
o+ `o+`
ox `ox`
o. `o.`
sum `sum`
prod `prod`
^^ `^^`
^^^ `^^^`
vv `vv`
vvv `vvv`
nn `nn`
nnn `nnn`
uu `uu`
uuu `uuu`
Standard functions
Type See
sin sin
cos cos
tan tan
csc csc
sec sec
cot cot
sinh sinh
cosh cosh
tanh tanh
log log
ln ln
det det
dim dim
lim lim
mod mod
gcd gcd
lcm lcm
min min
max max
Grouping brackets
Type See
( (
) )
[ [
] ]
{ {
} }
(:
:)
{:  
:}  
Logical symbols
Type See
and `and`
or `or`
not `not`
=> `=>`
if `if`
iff `iff`
AA `AA`
EE `EE`
_|_ `_|_`
TT `TT`
|-- `|--`
|== `|==`
Accents
Type See
hat x `hat x`
bar x `bar x`
ul x `ul x`
vec x `vec x`
dot x `dot x`
ddot x `ddot x`
Arrows
Type See
uarr `uarr`
darr `darr`
rarr `rarr`
-> `->`
|-> `|->`
larr `larr`
harr `harr`
rArr `rArr`
lArr `lArr`
hArr `hArr`

In this next table, all items are in the order:

Type this See that Comment
x^2+y_1+z_12^34 `x^2+y_1+z_12^34` subscripts as in TeX, but numbers are treated as a unit
sin^-1(x) `sin^-1(x)` function names are treated as constants
d/dxf(x) = lim_(h->0)(f(x+h)-f(x))/h `d/dxf(x)=lim_(h->0)(f(x+h)-f(x))/h` complex subscripts are bracketed, displayed under lim
f(x) = sum_(n=0)^oo (f^((n))(a))/(n!)(x-a)^n `f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n` f^((n))(a) must be bracketed, else the numerator is only `a`
int_0^1f(x)dx `int_0^1f(x)dx` subscripts must come before superscripts
[[a,b],[c,d]]((n),(k)) `[[a,b],[c,d]]((n),(k))` matrices and column vectors are simple to type
x/x = {(1,if x!=0),(text{undefined},if x=0):} `x/x={(1,if x!=0),(text{undefined},if x=0):}` piecewise defined functions are based on matrix notation
a//b `a//b` use // for inline fractions
(a/b)/(c/d) `(a/b)/(c/d)` with brackets, multiple fraction work as expected
a/b/c/d `a/b/c/d` without brackets the parser chooses this particular expression
((a*b))/c `((a*b))/c` only one level of brackets is removed; * gives standard product
sqrt sqrt root3x `sqrt sqrt root3x` spaces are optional, only serve to split strings that should not match
<< a,b >> and {:(x,y),(u,v):} `<< a,b >> and {:(x,y),(u,v):}` angle brackets and invisible brackets
(a,b]={x in RR | a < x <= b} `(a,b]={x in RR | a < x <= b}` grouping brackets don't have to match
abc-123.45^-1.1 `abc-123.45^-1.1` non-tokens are split into single characters,
but decimal numbers are parsed with possible sign
hat(ab) bar(xy) ulA vec v dotx ddot y `hat(ab) bar(xy) ulA vec v dotx ddot y` accents can be used on any expression (work well in IE)
bb{AB3}.bbb(AB]. cc(AB).fr{AB}.tt[AB].sf(AB) `bb{AB3}.bbb(AB].cc(AB).fr{AB}.tt[AB].sf(AB)` font commands; can use any brackets around argument
\stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=) `\stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=)` symbols can be stacked
{::}_(\ 92)^238U `{::}_(\ 92)^238U` prescripts simulated by subsuperscripts

Tables courtesy the author of ASCIIMathML: Peter Jipsen, Chapman University.

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.