To use ASCIIMathJax on a HTML page, just copy the following line and add it to your webpage (usually in the <head> element):
| To see this |
Type 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 |
| $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ |
\$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\$ |
standard LaTeX notation is an alternative |
| `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` |
| $f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n$ |
\$f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n\$ |
standard LaTeX produces a similar result |
| `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),("undefined",if x=0):}` |
`x/x={(1,if x!=0),("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 |
If you are familiar with MathML, you can appreciate that this ASCII
input form is less verbose and more readable. If you are familiar with
LaTeX, this is still somewhat less cluttered. ASCIIMath input
notation is close to graphing calculator notation, so that
it can be used on webpages, emails and in computer algebra systems
without having to learn another specialized syntax. Here is a list of
all symbols (PDF):
Operations
| 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` |
|
Relations
| Type | See |
|---|
| = | `=` |
| != | `!=` |
| < | `<` |
| > | `>` |
| <= | `<=` |
| >= | `>=` |
| -< | `-<` |
| >- | `>-` |
| in | `in` |
| !in | `notin` |
| sub | `sub` |
| sup | `sup` |
| sube | `sube` |
| supe | `supe` |
| -= | `-=` |
| ~= | `~=` |
| ~~ | `~~` |
| prop | `prop` |
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` |
|
Logical
| Type | See |
|---|
| and | `and` |
| or | `or` |
| not | `not` |
| => | `=>` |
| if | `if` |
| iff | `iff` |
| AA | `AA` |
| EE | `EE` |
| _|_ | `_|_` |
| TT | `TT` |
| |-- | `|--` |
| |== | `|==` |
Brackets
| Type | See |
|---|
| ( | `(` |
| ) | `)` |
| [ | `[` |
| ] | `]` |
| { | `{` |
| } | `}` |
| << | `<<` |
| >> | `>>` |
| {: | `{:` |
| :} | `{::}` |
|
Miscellaneous
| Type | See |
|---|
| int | `int` |
| oint | `oint` |
| del | `del` |
| grad | `grad` |
| +- | `+-` |
| O/ | `O/` |
| oo | `oo` |
| aleph | `aleph` |
| /_ | `/_` |
| :. | `:.` |
| |...| | |`...`| |
| |cdots| | |`cdots`| |
| vdots | `vdots` |
| ddots | `ddots` |
| |\ | | |`\ `| |
| |quad| | |`quad`| |
| diamond | `diamond` |
| square | `square` |
| |__ | `|__` |
| __| | `__|` |
| |~ | `|~` |
| ~| | `~|` |
| CC | `CC` |
| NN | `NN` |
| QQ | `QQ` |
| RR | `RR` |
| ZZ | `ZZ` |
|
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` |
Fonts
| 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` |
|
Arrows
| Type | See |
|---|
| uarr | `uarr` |
| darr | `darr` |
| rarr | `rarr` |
| -> | `->` |
| |-> | `|->` |
| larr | `larr` |
| harr | `harr` |
| rArr | `rArr` |
| lArr | `lArr` |
| hArr | `hArr` |
Greek
| Type | See |
|---|
| Delta | `Delta` |
| Gamma | `Gamma` |
| Lambda | `Lambda` |
| Omega | `Omega` |
| Phi | `Phi` |
| Pi | `Pi` |
| Psi | `Psi` |
| Sigma | `Sigma` |
| Theta | `Theta` |
| Xi | `Xi` |
|
Greek
| Type | See |
|---|
| alpha | `alpha` |
| beta | `beta` |
| chi | `chi` |
| delta | `delta` |
| epsilon | `epsilon` |
| eta | `eta` |
| gamma | `gamma` |
| iota | `iota` |
| kappa | `kappa` |
| lambda | `lambda` |
| mu | `mu` |
| nu | `nu` |
| omega | `omega` |
| phi | `phi` |
| varphi | `varphi` |
| pi | `pi` |
| psi | `psi` |
| rho | `rho` |
| sigma | `sigma` |
| tau | `tau` |
| theta | `theta` |
| upsilon | `upsilon` |
| xi | `xi` |
| zeta | `zeta` |
|