5! | {"input":"!","ptag":"mo","ctag":"factorial","output":"!","type":"CONST","issuffixop":true} | X |
!= | {"input":"!=","ptag":"mo","ctag":"neq","output":"≠","type":"CONST","eq":true} | X |
!c: | {"input":"!c:","ptag":"mo","ctag":"notprsubset","output":"⊂","type":"CONST","setop":true} | X |
!c:: | {"input":"!c::","ptag":"mo","ctag":"notsubset","output":"⊈","type":"CONST","setop":true} | X |
!in: | {"input":"!in:","ptag":"mo","ctag":"notin","output":"∉","type":"CONST","setop":true} | X |
" | {"input":"\"","ptag":"mtext","output":"mbox","type":"TEXT"} | X |
#^ | {"input":"#^","ptag":"mo","ctag":"ceiling","output":"⌈","append":"⌉","type":"CONST","isprefixop":true} | X |
#_ | {"input":"#_","ptag":"mo","ctag":"floor","output":"⌊","append":"⌋","type":"CONST","isprefixop":true} | X |
% | {"input":"%","ctag":"rem","ptag":"mo","output":"mod","type":"INFIX","infixop":true} | X |
| {"input":"","ptag":"mo","output":"","type":"SPACE","invisible":true} | X |
&& | {"input":"&&","ptag":"mo","ctag":"and","output":"∧","type":"CONST","logic":true,"pri":true} | X |
f' | {"input":"'","ptag":"mo","ctag":"diff","output":"'","type":"CONST","issuffixop":true} | X |
(x,y) | {"input":"(","ptag":"mo","output":"(","type":"LEFTBRACKET"} | X |
) | {"input":")","ptag":"mo","output":")","type":"RIGHTBRACKET"} | X |
* | {"input":"*","ptag":"mo","ctag":"times","output":"*","type":"CONST","arith":true} | X |
** | {"input":"**","ptag":"mo","ctag":"times","output":"×","type":"CONST","arith":true} | X |
*** | {"input":"***","ptag":"mi","output":"⋆","type":"VAR","sym":true} | X |
+ | {"input":"+","ptag":"mo","ctag":"plus","output":"+","type":"CONST","arith":true,"pri":true} | X |
, | {"input":",","ptag":"mo","output":",","type":"CONST","sep":true} | X |
- | {"input":"-","ptag":"mo","ctag":"minus","output":"-","type":"CONST","arith":true,"pri":true} | X |
--- | {"input":"---","ptag":"mi","output":"‾‾‾","type":"SHAPE","shape":"line"} | X |
--> | {"input":"-->","ptag":"mi","output":"→","type":"SHAPE"} | X |
-: | {"input":"-:","ptag":"mo","ctag":"divide","output":"÷","type":"CONST","arith":true} | X |
-> | {"input":"->","ptag":"mo","ctag":"tendsto","output":"→","type":"CONST","rel":true} | X |
.* | {"input":".*","ptag":"mo","ctag":"scalarproduct","output":"⋅","type":"CONST","arith":true} | X |
... | {"input":"...","ptag":"mo","output":"...","type":"SHAPE"} | X |
1/2 | {"input":"/","ptag":"mfrac","ctag":"divide","output":"/","type":"INFIX","arith":true} | X |
:*: | {"input":":*:","ptag":"mo","ctag":"cartesianproduct","output":"×","type":"CONST","setop":true,"ipop":true} | X |
:. | {"input":":.","ptag":"mo","output":"∴","type":"SHAPE"} | X |
:= | {"input":":=","ptag":"mo","ctag":"eq","output":":=","type":"CONST","eq":true} | X |
:c: | {"input":":c:","ptag":"mo","ctag":"prsubset","output":"⊂","type":"CONST","setop":true} | X |
:c:: | {"input":":c::","ptag":"mo","ctag":"subset","output":"⊆","type":"CONST","setop":true} | X |
:in: | {"input":":in:","ptag":"mo","ctag":"in","output":"∈","type":"CONST","setop":true} | X |
:n: | {"input":":n:","ptag":"mo","ctag":"intersect","output":"∩","type":"CONST","setop":true,"pri":true} | X |
:u: | {"input":":u:","ptag":"mo","ctag":"union","output":"∪","type":"CONST","setop":true,"pri":true} | X |
< | {"input":"<","ptag":"mo","ctag":"lt","output":"<","type":"CONST","eq":true} | X |
<-- | {"input":"<--","ptag":"mi","output":"←","type":"SHAPE"} | X |
<-> | {"input":"<->","ptag":"mi","output":"↔","type":"SHAPE"} | X |
<= | {"input":"<=","ptag":"mo","ctag":"leq","output":"≤","type":"CONST","eq":true} | X |
<== | {"input":"<==","ptag":"mi","output":"⇐","type":"SHAPE"} | X |
<=> | {"input":"<=>","ptag":"mi","output":"⇔","type":"SHAPE"} | X |
= | {"input":"=","ptag":"mo","ctag":"eq","output":"=","type":"CONST","eq":true} | X |
== | {"input":"==","ptag":"mo","ctag":"equivalent","output":"≡","type":"CONST","eq":true} | X |
==> | {"input":"==>","ptag":"mi","output":"⇒","type":"SHAPE"} | X |
=> | {"input":"=>","ptag":"mo","ctag":"implies","output":"⇒","type":"CONST","rel":true} | X |
=~ | {"input":"=~","ptag":"mo","ctag":"factorof","output":"∝","type":"CONST","eq":true} | X |
> | {"input":">","ptag":"mo","ctag":"gt","output":">","type":"CONST","eq":true} | X |
>= | {"input":">=","ptag":"mo","ctag":"geq","output":"≥","type":"CONST","eq":true} | X |
@ | {"input":"@","ptag":"mi","ctag":"compose","output":"⚬","type":"CONST","arith":true} | X |
@* | {"input":"@*","ptag":"mo","ctag":"outerproduct","output":"⊗","type":"CONST","arith":true} | X |
[{x},{y}] | {"input":"[","ptag":"mo","output":"[","type":"LEFTBRACKET"} | X |
\x,y/ | {"input":"\\","ptag":"mo","output":"(","type":"LEFTBRACKET"} | X |
] | {"input":"]","ptag":"mo","output":"]","type":"RIGHTBRACKET"} | X |
x^2 | {"input":"^","ptag":"msup","output":"^","type":"INFIX"} | X |
x_i | {"input":"_","ptag":"msub","output":"_","type":"INFIX"} | X |
x`y | {"input":"`","ptag":"mo","ctag":"not","output":"'","type":"CONST","issuffixop":true} | X |
alpha | {"input":"alpha","ptag":"mi","output":"α","type":"VAR","sym":true} | X |
arccos | {"input":"arccos","ctag":"arccos","ptag":"mo","output":"arccos","type":"UNARY","paren":true} | X |
arccosh | {"input":"arccosh","ctag":"arccosh","ptag":"mo","output":"arccosh","type":"UNARY","paren":true} | X |
arccot | {"input":"arccot","ctag":"arccot","ptag":"mo","output":"arccot","type":"UNARY","paren":true} | X |
arccoth | {"input":"arccoth","ctag":"arccoth","ptag":"mo","output":"arccoth","type":"UNARY","paren":true} | X |
arccsc | {"input":"arccsc","ctag":"arccsc","ptag":"mo","output":"arccsc","type":"UNARY","paren":true} | X |
arccsch | {"input":"arccsch","ctag":"arccsch","ptag":"mo","output":"arccsch","type":"UNARY","paren":true} | X |
arcsec | {"input":"arcsec","ctag":"arcsec","ptag":"mo","output":"arcsec","type":"UNARY","paren":true} | X |
arcsech | {"input":"arcsech","ctag":"arcsech","ptag":"mo","output":"arcsech","type":"UNARY","paren":true} | X |
arcsin | {"input":"arcsin","ctag":"arcsin","ptag":"mo","output":"arcsin","type":"UNARY","paren":true} | X |
arcsinh | {"input":"arcsinh","ctag":"arcsinh","ptag":"mo","output":"arcsinh","type":"UNARY","paren":true} | X |
arctan | {"input":"arctan","ctag":"arctan","ptag":"mo","output":"arctan","type":"UNARY","paren":true} | X |
arctanh | {"input":"arctanh","ctag":"arctanh","ptag":"mo","output":"arctanh","type":"UNARY","paren":true} | X |
Argu | {"input":"Argu","ctag":"arg","ptag":"mo","output":"Arg","type":"UNARY","paren":true} | X |
barx | {"input":"bar","ptag":"mover","ctag":"conjugate","output":"¯","type":"CONST","acc":true,"functional":true} | X |
beta | {"input":"beta","ptag":"mi","output":"β","type":"VAR","sym":true} | X |
bold: | {"input":"bold:","ptag":"mstyle","attr":{"fontweight":"bold","style":"font-weight:bold"},"output":"bold:","type":"STYLE"} | X |
CC | {"input":"CC","ctag":"complexes","ptag":"mi","output":"ℂ","type":"CONST","sym":true} | X |
chi | {"input":"chi","ptag":"mi","output":"χ","type":"VAR","sym":true} | X |
Conj(x+y) | {"input":"Conj","ctag":"conjugate","ptag":"mover","output":"¯","type":"UNARY","acc":true,"functional":true} | X |
cos | {"input":"cos","ctag":"cos","ptag":"mo","output":"cos","type":"UNARY","paren":true} | X |
cosh | {"input":"cosh","ctag":"cosh","ptag":"mo","output":"cosh","type":"UNARY","paren":true} | X |
cot | {"input":"cot","ctag":"cot","ptag":"mo","output":"cot","type":"UNARY","paren":true} | X |
csc | {"input":"csc","ctag":"csc","ptag":"mo","output":"csc","type":"UNARY","paren":true} | X |
curl | {"input":"curl","ptag":"mo","ctag":"curl","output":"∇×","type":"VAR","functional":1} | X |
d | {"input":"d","ctag":"diff","ptag":"mo","output":"d","iscalcop":true,"type":"DIFFERENTIAL","carry":true} | X |
dd | {"input":"dd","ctag":"partialdiff","ptag":"mo","output":"∂","iscalcop":true,"type":"DIFFERENTIAL","carry":true} | X |
ddot | {"input":"ddot","ptag":"mover","output":"..","type":"VAR","acc":true} | X |
delta | {"input":"delta","ptag":"mi","output":"δ","type":"VAR","sym":true} | X |
Delta | {"input":"Delta","ctag":"minus","csymbol":"displacement","ptag":"mi","output":"Δ","type":"VAR","sym":true,"functional":2,"isprefixop":true,"paren":true} | X |
det | {"input":"det","ctag":"determinant","ptag":"mo","output":"det","type":"UNARY"} | X |
diamond | {"input":"diamond","ptag":"mi","output":"⋄","type":"VAR","sym":true} | X |
div | {"input":"div","ptag":"mo","ctag":"divergence","output":"∇⋅","type":"UNARY"} | X |
dot | {"input":"dot","ptag":"mover","output":".","type":"VAR","acc":true} | X |
.|. | {"input":"downarrow","vinput":".|.","ptag":"mi","output":"↓","type":"SHAPE"} | X |
epsilon | {"input":"epsilon","ptag":"mi","output":"ε","type":"VAR","sym":true} | X |
eta | {"input":"eta","ptag":"mi","output":"η","type":"VAR","sym":true} | X |
euler | {"input":"euler","ctag":"eulergamma","ptag":"mi","output":"γ","type":"CONST","sym":true} | X |
exp | {"input":"exp","ctag":"exp","ptag":"mi","output":"e","type":"VAR","functional":1,"paren":true} | X |
F | {"input":"F","ptag":"mi","output":"F","type":"VAR","functional":true,"ctype":"function","paren":true} | X |
f | {"input":"f","ptag":"mi","output":"f","type":"VAR","functional":true,"ctype":"function","paren":true} | X |
false | {"input":"false","ctag":"false","ptag":"mi","output":"false","type":"CONST","sym":true} | X |
g | {"input":"g","ptag":"mi","output":"g","type":"VAR","functional":true,"ctype":"function","paren":true} | X |
gamma | {"input":"gamma","ptag":"mi","output":"γ","type":"VAR","sym":true} | X |
Gamma | {"input":"Gamma","ptag":"mi","output":"Γ","type":"VAR","functional":1,"paren":true} | X |
gcd | {"input":"gcd","ptag":"mo","ctag":"gcd","output":"gcd","type":"UNARY","sov":true,"paren":true} | X |
grad | {"input":"grad","ptag":"mo","ctag":"grad","output":"∇","type":"UNARY","paren":true} | X |
hat | {"input":"hat","ptag":"mover","output":"^","type":"VAR","acc":true,"ctype":"vector"} | X |
hide: | {"input":"hide:","ptag":"mstyle","attr":{"style":"opacity:0"},"output":"hide:","type":"STYLE"} | X |
if: | {"input":"if:","ptag":"mo","output":"if","ctag":"if","type":"CONST","fi":true} | X |
Imag | {"input":"Imag","ctag":"imaginary","ptag":"mo","output":"ℑ","type":"UNARY","paren":true} | X |
imgi | {"input":"imgi","ctag":"imaginaryi","ptag":"mi","output":"ⅰ","type":"CONST","sym":true} | X |
int | {"input":"int","ctag":"int","ptag":"mo","output":"∫","type":"UNARY","integral":true} | X |
iota | {"input":"iota","ptag":"mi","output":"ι","type":"VAR","sym":true} | X |
kappa | {"input":"kappa","ptag":"mi","output":"κ","type":"VAR","sym":true} | X |
lambda | {"input":"lambda","ctag":"lambda","ptag":"mi","output":"λ","type":"VAR","sym":true,"functional":1,"paren":true} | X |
Lambda | {"input":"Lambda","ptag":"mi","output":"Λ","type":"VAR","functional":1,"paren":true} | X |
Lap | {"input":"Lap","ptag":"mi","ctag":"laplacian","output":"ℒ","type":"VAR","paren":true,"functional":1,"separators":"","sov":true} | X |
large: | {"input":"large:","ptag":"mstyle","attr":{"mathsize":"large","style":"font-size:150%"},"output":"large:","type":"STYLE"} | X |
lcm | {"input":"lcm","ptag":"mo","ctag":"lcm","output":"lcm","type":"UNARY","sov":true,"paren":true} | X |
light: | {"input":"light:","ptag":"mstyle","attr":{"style":"opacity:0.35"},"output":"light:","type":"STYLE"} | X |
lim | {"input":"lim","ctag":"limit","ptag":"mo","output":"lim","type":"UNDEROVER"} | X |
Lim | {"input":"Lim","ctag":"limit","ptag":"mo","output":"Lim","type":"UNDEROVER"} | X |
ln | {"input":"ln","ctag":"ln","ptag":"mo","output":"ln","type":"UNARY","paren":true} | X |
log | {"input":"log","ctag":"log","barge":["_logbase",10],"ptag":"mo","output":"log","type":"UNARY","paren":true} | X |
max | {"input":"max","ptag":"mo","ctag":"max","output":"max","type":"UNARY","sov":true,"paren":true} | X |
mean | {"input":"mean","ptag":"mo","ctag":"mean","output":"mean","type":"UNARY","sov":true,"paren":true} | X |
min | {"input":"min","ptag":"mo","ctag":"min","output":"min","type":"UNARY","sov":true,"paren":true} | X |
mode | {"input":"mode","ptag":"mo","ctag":"mode","output":"glb","type":"UNARY","sov":true,"paren":true} | X |
mono: | {"input":"mono:","ptag":"mstyle","attr":{"fontfamily":"monospace"},"output":"mono:","type":"STYLE"} | X |
mu | {"input":"mu","ptag":"mi","output":"μ","type":"VAR","sym":true} | X |
nab2 | {"input":"nab2","ptag":"mi","ctag":"laplacian","output":"∇²","type":"VAR","sym":true,"functional":1,"paren":true} | X |
NaN | {"input":"NaN","ctag":"notanumber","ptag":"mi","output":"NaN","type":"CONST","sym":true} | X |
NN | {"input":"NN","ctag":"naturalnumbers","ptag":"mi","output":"ℕ","type":"CONST","sym":true} | X |
nu | {"input":"nu","ptag":"mi","output":"ν","type":"VAR","sym":true} | X |
O/ | {"input":"O/","ctag":"emptyset","ptag":"mi","output":"∅","type":"CONST","sym":true} | X |
oint | {"input":"oint","ctag":"int","ptag":"mo","output":"∮","type":"UNARY","integral":true} | X |
omega | {"input":"omega","ptag":"mi","output":"ω","type":"VAR","sym":true} | X |
Omega | {"input":"Omega","ptag":"mi","output":"Ω","type":"VAR","sym":true,"functional":1,"paren":true} | X |
oo | {"input":"oo","ctag":"infinity","ptag":"mi","output":"∞","type":"CONST","sym":true} | X |
phi | {"input":"phi","ptag":"mi","output":"φ","type":"VAR","sym":true} | X |
Phi | {"input":"Phi","ptag":"mi","output":"Φ","type":"VAR","sym":true,"functional":1,"paren":true} | X |
pi | {"input":"pi","ctag":"pi","ptag":"mi","output":"π","type":"CONST","sym":true} | X |
Pi | {"input":"Pi","ptag":"mi","ctag":"product","output":"∏","type":"UNDEROVER","sym":true,"functional":1,"sov":true} | X |
prod | {"input":"prod","ptag":"mo","ctag":"product","output":"∏","type":"UNDEROVER","sov":true} | X |
psi | {"input":"psi","ptag":"mi","output":"ψ","type":"VAR","sym":true} | X |
Psi | {"input":"Psi","ptag":"mi","output":"Ψ","type":"VAR","sym":true,"functional":1,"paren":true} | X |
QQ | {"input":"QQ","ctag":"rationals","ptag":"mi","output":"ℚ","type":"CONST","sym":true} | X |
Real | {"input":"Real","ctag":"real","ptag":"mo","output":"ℛ","type":"UNARY","paren":true} | X |
rho | {"input":"rho","ptag":"mi","output":"ρ","type":"VAR","sym":true} | X |
root(x,y) | {"input":"root","ptag":"mroot","ctag":"root","barge":["degree",1],"output":"mroot","type":"BINARY","paren":true} | X |
RR | {"input":"RR","ctag":"reals","ptag":"mi","output":"ℝ","type":"CONST","sym":true} | X |
script: | {"input":"script:","ptag":"mstyle","attr":{"mathvariant":"script"},"output":"script:","type":"STYLE"} | X |
sec | {"input":"sec","ctag":"sec","ptag":"mo","output":"sec","type":"UNARY","paren":true} | X |
serif: | {"input":"serif:","ptag":"mstyle","attr":{"fontfamily":"sans-serif"},"output":"serif:","type":"STYLE"} | X |
Sigma | {"input":"Sigma","ptag":"mi","ctag":"sum","output":"∑","type":"UNDEROVER","sov":true,"functional":1,"separators":"+"} | X |
sigma | {"input":"sigma","ptag":"mi","ctag":"sdev","output":"σ","type":"VAR","sym":true,"functional":1,"sov":true,"separators":"","paren":true} | X |
sigma2 | {"input":"sigma2","ptag":"mi","ctag":"variance","output":"σ²","type":"VAR","sym":true,"functional":1,"sov":true,"paren":true} | X |
sin | {"input":"sin","ctag":"sin","ptag":"mo","output":"sin","type":"UNARY","paren":true} | X |
sinh | {"input":"sinh","ctag":"sinh","ptag":"mo","output":"sinh","type":"UNARY","paren":true} | X |
small: | {"input":"small:","ptag":"mstyle","attr":{"mathsize":"small","style":"font-size:75%"},"output":"small:","type":"STYLE"} | X |
sqrt | {"input":"sqrt","ctag":"root","barge":["degree",2],"ptag":"msqrt","output":"msqrt","type":"UNARY","paren":true} | X |
square | {"input":"square","ptag":"mi","output":"□","type":"VAR","sym":true} | X |
stackrel(x,y) | {"input":"stackrel","ptag":"mrow","output":"mrow","type":"BINARY"} | X |
stdev | {"input":"stdev","ptag":"mo","ctag":"sdev","output":"σ","type":"UNARY","paren":true,"sov":true} | X |
strike: | {"input":"strike:","ptag":"mstyle","attr":{"style":"text-decoration:line-through;"},"output":"strike:","type":"STYLE"} | X |
struck: | {"input":"struck:","ptag":"mstyle","attr":{"mathvariant":"double-struck"},"output":"struck:","type":"STYLE"} | X |
sum | {"input":"sum","ptag":"mo","ctag":"sum","output":"∑","type":"UNDEROVER","sov":true,"separators":"+"} | X |
tan | {"input":"tan","ctag":"tan","ptag":"mo","output":"tan","type":"UNARY","paren":true} | X |
tanh | {"input":"tanh","ctag":"tanh","ptag":"mo","output":"tanh","type":"UNARY","paren":true} | X |
tau | {"input":"tau","ptag":"mi","output":"τ","type":"VAR","sym":true} | X |
theta | {"input":"theta","ptag":"mi","output":"θ","type":"VAR","sym":true} | X |
Theta | {"input":"Theta","ptag":"mi","output":"Θ","type":"VAR","sym":true,"functional":1,"paren":true} | X |
true | {"input":"true","ctag":"true","ptag":"mi","output":"true","type":"CONST","sym":true} | X |
ul | {"input":"ul","ptag":"munder","output":"̲","type":"VAR","acc":true} | X |
^|^ | {"input":"uparrow","vinput":"^|^","ptag":"mi","output":"↑","type":"SHAPE"} | X |
upsilon | {"input":"upsilon","ptag":"mi","output":"υ","type":"VAR","sym":true} | X |
varepsilon | {"input":"varepsilon","ptag":"mi","output":"ɛ","type":"VAR","sym":true} | X |
vari | {"input":"vari","ptag":"mo","ctag":"variance","output":"σ²","type":"UNARY","paren":true,"sov":true} | X |
varphi | {"input":"varphi","ptag":"mi","output":"ϕ","type":"VAR","sym":true} | X |
vartheta | {"input":"vartheta","ptag":"mi","output":"ϑ","type":"VAR","sym":true} | X |
vec | {"input":"vec","ptag":"mover","output":"→","type":"VAR","acc":true,"ctype":"vector"} | X |
xi | {"input":"xi","ptag":"mi","output":"ξ","type":"VAR","sym":true} | X |
Xi | {"input":"Xi","ptag":"mi","output":"Ξ","type":"VAR","sym":true,"functional":1,"paren":true} | X |
zeta | {"input":"zeta","ptag":"mi","output":"ζ","type":"VAR","sym":true} | X |
ZZ | {"input":"ZZ","ctag":"integers","ptag":"mi","output":"ℤ","type":"CONST","sym":true} | X |
{x,y} | {"input":"{","ptag":"mo","output":"{","type":"LEFTBRACKET"} | X |
| | {"input":"|","ptag":"mo","output":"|","type":"LEFTRIGHT"} | X |
} | {"input":"}","ptag":"mo","output":"}","type":"RIGHTBRACKET"} | X |
~* | {"input":"~*","ptag":"mo","ctag":"vectorproduct","output":"×","type":"CONST","arith":true} | X |
~= | {"input":"~=","ptag":"mo","ctag":"equivalent","output":"≅","type":"CONST","eq":true} | X |
~~ | {"input":"~~","ptag":"mo","ctag":"approx","output":"≈","type":"CONST","eq":true} | X |
+/- | {"input":"±","vinput":"+/-","ctag":"plusminus","ptag":"mo","output":"±","type":"CONST","arith":true,"pri":true} | X |
| | {"input":"ǀ","vinput":"|","ptag":"mo","ctag":"condition","output":"|","type":"CONST","cond":true,"arith":true,"ipop":true} | X |
|| | {"input":"∨","vinput":"||","ptag":"mo","ctag":"or","output":"∨","type":"CONST","logic":true,"pri":true} | X |
(: | {"input":"❴","vinput":"(:","ptag":"mo","output":"❴","type":"LEFTBRACKET"} | X |
:) | {"input":"❵","vinput":":)","ptag":"mo","output":"❵","type":"RIGHTBRACKET"} | X |
|-- | {"input":"⟌","vinput":"|--","ptag":"mlongdiv","ctag":"divide","output":"⟌","type":"INFIX","infixop":true,"arith":true,"infixswap":1} | X |
\_ | {"input":"/","vinput":"\\_","ctag":"ci","ptag":"mo","output":"∠","type":"INFIX","infixop":true,"ctype":"complex-polar"} | X |
:\: | {"input":"\","vinput":":\\:","ptag":"mo","ctag":"setdiff","output":"\\","type":"CONST","setop":true,"ipop":true} | X |
__ | {"input":"_","vinput":"__","ptag":"mi","output":"_","type":"SHAPE"} | X |
e | {"input":"e","ctag":"exp","ptag":"mi","output":"e","type":"CONST","eop":true} | X |