Levaraging the mXparser library, you can now evaluate mathematical equations directly inline with variable replacements.
$math(10+10)$
$math(%x% * 1.275971208)$
$math(%tier% * 10)$
$math(%duration% / 1000)$
For easier reference, these are all the supported tokens, this is current for the version of mXparser that is used, these can also be seen on the mXparser GitHub, version 4.4.2 is the version in use.
Keyword | Category | Description | Example |
---|---|---|---|
Number | Decimal Number | Decimal number | 1, 1.5, - |
Number | Decimal Number | Decimal number - scientific notation | 1.2e10, -2.4e-10, 2.3E+10 |
Number | Binary Number | Binary number - number literal | b.10101, B.10101, b2.10010 |
Number | Octal Number | Octal number - number literal | o.1027, O.1027, b8.1027 |
Number | Hexadecimal Number | Hexadecimal number - number literal | h.12fE, H.12fE, b16.12fE |
Number | Unary Number | Unary number - number literal | b1.111 , B1.111 |
Number | Base 1-36 | Base 1-36 number - number literal | bN.xxxx , BN.xxxx |
Number | Fraction | Number literal as fraction | 1_2 , 2_3_4, 172_345, 345_172 |
Keyword | Category | Description | Example |
---|---|---|---|
+ |
Operator | Addition | a + b |
- |
Operator | Subtraction | a - b |
* |
Operator | Multiplication | a * b |
/ |
Operator | Division | a / b |
^ |
Operator | Exponentiation | a^b |
! |
Operator | Factorial | n! |
# |
Operator | Modulo function | a # b |
% |
Operator | Percentage | n% |
^^ |
Operator | Tetration | a^^b |
Keyword | Category | Description | Example |
---|---|---|---|
& | Boolean Operator | Logical conjunction (AND) | p & q |
&& | Boolean Operator | Logical conjunction (AND) | p && q |
/\ | Boolean Operator | Logical conjunction (AND) | p /\ q |
~& | Boolean Operator | NAND - Sheffer stroke | p ~& q |
~&& | Boolean Operator | NAND - Sheffer stroke | p ~&& q |
~/\ | Boolean Operator | NAND - Sheffer stroke | p ~/\ q |
| | Boolean Operator | Logical disjunction (OR) | p | q |
|| | Boolean Operator | Logical disjunction (OR) | p || q |
\/ | Boolean Operator | Logical disjunction (OR) | p \/ q |
~| | Boolean Operator | Logical NOR | p ~| q |
~|| | Boolean Operator | Logical NOR | p ~|| q |
~\/ | Boolean Operator | Logical NOR | p ~\/ q |
(+) | Boolean Operator | Exclusive or (XOR) | p (+) q |
--> | Boolean Operator | Implication (IMP) | p --> q |
<-- | Boolean Operator | Converse implication (CIMP) | p <-- q |
-/> | Boolean Operator | Material nonimplication (NIMP) | p -/> q |
</- | Boolean Operator | Converse nonimplication (CNIMP) | p </- q |
<-> | Boolean Operator | Logical biconditional (EQV) | p <-> q |
~ | Boolean Operator | Negation | ~p |
Keyword | Category | Description | Example |
---|---|---|---|
@~ | Bitwise Operator | Bitwise unary complement | @~10 |
@& | Bitwise Operator | Bitwise AND | 10 @& 2 |
@^ | Bitwise Operator | Bitwise exclusive OR | 10 @^ 2 |
@| | Bitwise Operator | Bitwise inclusive OR | 10 @| 2 |
@<< | Bitwise Operator | Signed left shift | 10 @<< 2 |
@>> | Bitwise Operator | Signed right shift | 10 @>> 2 |
Keyword | Category | Description | Example |
---|---|---|---|
= | Binary Relation | Equality | a = b |
== | Binary Relation | Equality | a == b |
<> | Binary Relation | Inequation | a <> b |
~= | Binary Relation | Inequation | a ~= b |
!= | Binary Relation | Inequation | a != b |
< | Binary Relation | Lower than | a < b |
> | Binary Relation | Greater than | a > b |
<= | Binary Relation | Lower or equal | a <= b |
>= | Binary Relation | Greater or equal | a >= b |
Keyword | Category | Description | Example |
---|---|---|---|
sin | Unary Function | Trigonometric sine function | sin(x) |
cos | Unary Function | Trigonometric cosine function | cos(x) |
tg | Unary Function | Trigonometric tangent function | tg(x) |
tan | Unary Function | Trigonometric tangent function | tan(x) |
ctg | Unary Function | Trigonometric cotangent function | ctg(x) |
cot | Unary Function | Trigonometric cotangent function | cot(x) |
ctan | Unary Function | Trigonometric cotangent function | ctan(x) |
sec | Unary Function | Trigonometric secant function | sec(x) |
csc | Unary Function | Trigonometric cosecant function | csc(x) |
cosec | Unary Function | Trigonometric cosecant function | cosec(x) |
asin | Unary Function | Inverse trigonometric sine function | asin(x) |
arsin | Unary Function | Inverse trigonometric sine function | arsin(x) |
arcsin | Unary Function | Inverse trigonometric sine function | arcsin(x) |
acos | Unary Function | Inverse trigonometric cosine function | acos(x) |
arcos | Unary Function | Inverse trigonometric cosine function | arcos(x) |
arccos | Unary Function | Inverse trigonometric cosine function | arccos(x) |
atg | Unary Function | Inverse trigonometric tangent function | atg(x) |
atan | Unary Function | Inverse trigonometric tangent function | atan(x) |
arctg | Unary Function | Inverse trigonometric tangent function | arctg(x) |
arctan | Unary Function | Inverse trigonometric tangent function | arctan(x) |
actg | Unary Function | Inverse trigonometric cotangent function | actg(x) |
acot | Unary Function | Inverse trigonometric cotangent function | acot(x) |
actan | Unary Function | Inverse trigonometric cotangent function | actan(x) |
arcctg | Unary Function | Inverse trigonometric cotangent function | arcctg(x) |
arccot | Unary Function | Inverse trigonometric cotangent function | arccot(x) |
arcctan | Unary Function | Inverse trigonometric cotangent function | arcctan(x) |
ln | Unary Function | Natural logarithm function (base e) | ln(x) |
log2 | Unary Function | Binary logarithm function (base 2) | log2(x) |
log10 | Unary Function | Common logarithm function (base 10) | log10(x) |
rad | Unary Function | Degrees to radians function | rad(x) |
exp | Unary Function | Exponential function | exp(x) |
sqrt | Unary Function | Squre root function | sqrt(x) |
sinh | Unary Function | Hyperbolic sine function | sinh(x) |
cosh | Unary Function | Hyperbolic cosine function | cosh(x) |
tgh | Unary Function | Hyperbolic tangent function | tgh(x) |
tanh | Unary Function | Hyperbolic tangent function | tanh(x) |
coth | Unary Function | Hyperbolic cotangent function | coth(x) |
ctgh | Unary Function | Hyperbolic cotangent function | ctgh(x) |
ctanh | Unary Function | Hyperbolic cotangent function | ctanh(x) |
sech | Unary Function | Hyperbolic secant function | sech(x) |
csch | Unary Function | Hyperbolic cosecant function | csch(x) |
cosech | Unary Function | Hyperbolic cosecant function | cosech(x) |
deg | Unary Function | Radians to degrees function | deg(x) |
abs | Unary Function | Absolut value function | abs(x) |
sgn | Unary Function | Signum function | sgn(x) |
floor | Unary Function | Floor function | floor(x) |
ceil | Unary Function | Ceiling function | ceil(x) |
not | Unary Function | Negation function | not(x) |
asinh | Unary Function | Inverse hyperbolic sine function | asinh(x) |
arsinh | Unary Function | Inverse hyperbolic sine function | arsinh(x) |
arcsinh | Unary Function | Inverse hyperbolic sine function | arcsinh(x) |
acosh | Unary Function | Inverse hyperbolic cosine function | acosh(x) |
arcosh | Unary Function | Inverse hyperbolic cosine function | arcosh(x) |
arccosh | Unary Function | Inverse hyperbolic cosine function | arccosh(x) |
atgh | Unary Function | Inverse hyperbolic tangent function | atgh(x) |
atanh | Unary Function | Inverse hyperbolic tangent function | atanh(x) |
arctgh | Unary Function | Inverse hyperbolic tangent function | arctgh(x) |
arctanh | Unary Function | Inverse hyperbolic tangent function | arctanh(x) |
acoth | Unary Function | Inverse hyperbolic cotangent function | acoth(x) |
actgh | Unary Function | Inverse hyperbolic cotangent function | actgh(x) |
actanh | Unary Function | Inverse hyperbolic cotangent function | actanh(x) |
arcoth | Unary Function | Inverse hyperbolic cotangent function | arcoth(x) |
arccoth | Unary Function | Inverse hyperbolic cotangent function | arccoth(x) |
arcctgh | Unary Function | Inverse hyperbolic cotangent function | arcctgh(x) |
arcctanh | Unary Function | Inverse hyperbolic cotangent function | arcctanh(x) |
asech | Unary Function | Inverse hyperbolic secant function | asech(x) |
arsech | Unary Function | Inverse hyperbolic secant function | arsech(x) |
arcsech | Unary Function | Inverse hyperbolic secant function | arcsech(x) |
acsch | Unary Function | Inverse hyperbolic cosecant function | acsch(x) |
arcsch | Unary Function | Inverse hyperbolic cosecant function | arcsch(x) |
arccsch | Unary Function | Inverse hyperbolic cosecant function | arccsch(x) |
acosech | Unary Function | Inverse hyperbolic cosecant function | acosech(x) |
arcosech | Unary Function | Inverse hyperbolic cosecant function | arcosech(x) |
Sa | Unary Function | Sinc function (normalized) | Sa(x) |
sinc | Unary Function | Sinc function (normalized) | sinc(x) |
Sinc | Unary Function | Sinc function (unnormalized) | Sinc(x) |
Bell | Unary Function | Bell number | Bell(n) |
Luc | Unary Function | Lucas number | Luc(n) |
Fib | Unary Function | Fibonacci number | Fib(n) |
harm | Unary Function | Harmonic number | harm(n) |
ispr | Unary Function | Prime number test (is number a prime?) | ispr(n) |
Pi | Unary Function | Prime-counting function - Pi(x) | Pi(n) |
Ei | Unary Function | Exponential integral function (non-elementary special function) - usage example: Ei(x) | Ei(x) |
li | Unary Function | Logarithmic integral function (non-elementary special function) - usage example: li(x) | li(x) |
Li | Unary Function | Offset logarithmic integral function (non-elementary special function) - usage example: Li(x) | Li(x) |
erf | Unary Function | Gauss error function (non-elementary special function) - usage example: 2 + erf(x) | erf(x) |
erfc | Unary Function | Gauss complementary error function (non-elementary special function) - usage example: 1 - erfc(x) | erfc(x) |
erfInv | Unary Function | Inverse Gauss error function (non-elementary special function) - usage example: erfInv(x) | erfInv(x) |
erfcInv | Unary Function | Inverse Gauss complementary error function (non-elementary special function) - usage example: erfcInv(x) | erfcInv(x) |
ulp | Unary Function | Unit in The Last Place - ulp(0.1) | ulp(x) |
isNaN | Unary Function | Returns true = 1 if value is a Not-a-Number (NaN), false = 0 otherwise - usage example: isNaN(x) | isNaN(x) |
ndig10 | Unary Function | Number of digits in numeral system with base 10 | ndig10(x) |
nfact | Unary Function | Prime decomposition - number of distinct prime factors | nfact(x) |
arcsec | Unary Function | Inverse trigonometric secant | arcsec(x) |
Gamma | Unary Function | Gamma special function Γ(s) | Gamma(x) |
LambW0(x) | Unary Function | Lambert-W special function, principal branch 0, also called the omega function or product logarithm | LambW0(x) |
LambW1(x) | Unary Function | Lambert-W special function, branch -1, also called the omega function or product logarithm | LambW1(x) |
sgnGamma | Unary Function | Signum of Gamma special function, Γ(x) | sgnGamma(x) |
logGamma | Unary Function | Log Gamma special function, lnΓ(x) | logGamma(x) |
diGamma | Unary Function | Digamma function as the logarithmic derivative of the Gamma special function, ψ(x) | diGamma(x) |
Keyword | Category | Description | Example |
---|---|---|---|
log | Binary Function | Logarithm function | log(a, b) |
mod | Binary Function | Modulo function | mod(a, b) |
C | Binary Function | Binomial coefficient function | C(n, k) |
Bern | Binary Function | Bernoulli numbers | Bern(m, n) |
Stirl1 | Binary Function | Stirling numbers of the first kind | Stirl1(n, k) |
Stirl2 | Binary Function | Stirling numbers of the second kind | Stirl2(n, k) |
Worp | Binary Function | Worpitzky number | Worp(n, k) |
Euler | Binary Function | Euler number | Euler(n, k) |
KDelta | Binary Function | Kronecker delta | KDelta(i, j) |
EulerPol | Binary Function | EulerPol | EulerPol |
Harm | Binary Function | Harmonic number | Harm(x, n) |
rUni | Binary Function | Random variable - Uniform continuous distribution U(a,b), usage example: 2*rUni(2,10) | rUni(a, b) |
rUnid | Binary Function | Random variable - Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100) | rUnid(a, b) |
round | Binary Function | Half-up rounding, usage examples: round(2.2, 0) = 2, round(2.6, 0) = 3, round(2.66,1) = 2.7 | round(x, n) |
rNor | Binary Function | Random variable - Normal distribution N(m,s) m - mean, s - stddev, usage example: 3*rNor(0,1) | rNor(mean, stdv) |
ndig | Binary Function | Number of digits representing the number in numeral system with given base | ndig(number, base) |
dig10 | Binary Function | Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - base 10 numeral system | dig10(num, pos) |
factval | Binary Function | Prime decomposition - factor value at position between 1 ... nfact(n) - ascending order by factor value | factval(number, factorid) |
factexp | Binary Function | Prime decomposition - factor exponent / multiplicity at position between 1 ... nfact(n) - ascending order by factor value | factexp(number, factorid) |
root | Binary Function | N-th order root of a number | root(rootorder, number) |
GammaL | Binary Function | Lower incomplete gamma special function, γ(s,x) | GammaL(s,x) |
GammaU | Binary Function | Upper incomplete Gamma special function, Γ(s,x) | GammaU(s,x) |
GammaP | Binary Function | Lower regularized P gamma special function, P(s,x) | GammaP(s,x) |
GammaRegL | Binary Function | Lower regularized P gamma special function, P(s,x) | GammaRegL(s,x) |
GammaQ | Binary Function | Upper regularized Q Gamma special function, Q(s,x) | GammaQ(s,x) |
GammaRegU | Binary Function | Upper regularized Q Gamma special function, Q(s,x) | GammaRegU(s,x) |
Beta | Binary Function | The Beta special function B(x,y), also called the Euler integral of the first kind | Beta(x,y) |
logBeta | Binary Function | The Log Beta special function ln B(x,y), also called the Log Euler integral of the first kind, ln B(x,y) | logBeta(x,y) |
Keyword | Category | Description | Example |
---|---|---|---|
if | 3-args Function | If function | if( cond, expr-if-true, expr-if-false ) |
chi | 3-args Function | Characteristic function for x in (a,b) | chi(x, a, b) |
CHi | 3-args Function | Characteristic function for x in [a,b] | CHi(x, a, b) |
Chi | 3-args Function | Characteristic function for x in [a,b) | Chi(x, a, b) |
cHi | 3-args Function | Characteristic function for x in (a,b] | cHi(x, a, b) |
pUni | 3-args Function | Probability distribution function - Uniform continuous distribution U(a,b) | pUni(x, a, b) |
cUni | 3-args Function | Cumulative distribution function - Uniform continuous distribution U(a,b) | cUni(x, a, b) |
qUni | 3-args Function | Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b) | qUni(q, a, b) |
pNor | 3-args Function | Probability distribution function - Normal distribution N(m,s) | pNor(x, mean, stdv) |
cNor | 3-args Function | Cumulative distribution function - Normal distribution N(m,s) | cNor(x, mean, stdv) |
qNor | 3-args Function | Quantile function (inverse cumulative distribution function) | qNor(q, mean, stdv) |
dig | 3-args Function | Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - numeral system with given base | dig(num, pos, base) |
BetaInc | 3-args Function | The incomplete beta special function B(x; a, b), also called the incomplete Euler integral of the first kind | BetaInc(x,a,b) |
BetaI | 3-args Function | The regularized incomplete beta (or regularized beta) special function I(x; a, b), also called the regularized incomplete Euler integral of the first kind | BetaI(x,a,b) |
BetaReg | 3-args Function | The regularized incomplete beta (or regularized beta) special function I(x; a, b), also called the regularized incomplete Euler integral of the first kind | BetaReg(x,a,b) |
Keyword | Category | Description | Example |
---|---|---|---|
iff | Variadic Function | If function | iff( cond-1, expr-1; ... ; cond-n, expr-n ) |
min | Variadic Function | Minimum function | min(a1, ..., an) |
max | Variadic Function | Maximum function | max(a1, ..., an) |
ConFrac | Variadic Function | Continued fraction | ConFrac(a1, ..., an) |
ConPol | Variadic Function | Continued polynomial | ConPol(a1, ..., an) |
gcd | Variadic Function | Greatest common divisor | gcd(a1, ..., an) |
lcm | Variadic Function | Least common multiple | lcm(a1, ..., an) |
add | Variadic Function | Summation operator | add(a1, ..., an) |
multi | Variadic Function | Multiplication | multi(a1, ..., an) |
mean | Variadic Function | Mean / average value | mean(a1, ..., an) |
var | Variadic Function | Bias-corrected sample variance | var(a1, ..., an) |
std | Variadic Function | Bias-corrected sample standard deviation | std(a1, ..., an) |
rList | Variadic Function | Random number from given list of numbers | rList(a1, ..., an) |
coalesce | Variadic Function | Returns the first non-NaN value | coalesce(a1, ..., an) |
or | Variadic Function | Logical disjunction (OR) - variadic | or(a1, ..., an) |
and | Variadic Function | Logical conjunction (AND) - variadic | and(a1, ..., an) |
xor | Variadic Function | Exclusive or (XOR) - variadic | xor(a1, ..., an) |
argmin | Variadic Function | Arguments / indices of the minima | argmin(a1, ..., an) |
argmax | Variadic Function | Arguments / indices of the maxima | argmax(a1, ..., an) |
med | Variadic Function | The sample median | med(a1, ..., an) |
mode | Variadic Function | Mode - the value that appears most often | mode(a1, ..., an) |
base | Variadic Function | Returns number in given numeral system base represented by list of digits | base(b, d1, ..., dn) |
ndist | Variadic Function | Number of distinct values | ndist(v1, ..., vn) |
Keyword | Category | Description | Example |
---|---|---|---|
sum | Calculus Operator | Summation operator - SIGMA | sum( i, from, to, expr , ) |
prod | Calculus Operator | Product operator - PI | prod( i, from, to, expr , ) |
int | Calculus Operator | Definite integral operator | int( expr, arg, from, to ) |
der | Calculus Operator | Derivative operator | der( expr, arg, ) |
der- | Calculus Operator | Left derivative operator | der-( expr, arg, ) |
der+ | Calculus Operator | Right derivative operator | der+( expr, arg, ) |
dern | Calculus Operator | n-th derivative operator | dern( expr, n, arg ) |
diff | Calculus Operator | Forward difference operator | diff( expr, arg, ) |
difb | Calculus Operator | Backward difference operator | difb( expr, arg, ) |
avg | Calculus Operator | Average operator | avg( i, from, to, expr , ) |
vari | Calculus Operator | Bias-corrected sample variance operator | vari( i, from, to, expr , ) |
stdi | Calculus Operator | Bias-corrected sample standard deviation operator | stdi( i, from, to, expr , ) |
mini | Calculus Operator | Minimum value | mini( i, from, to, expr , ) |
maxi | Calculus Operator | Maximum value | maxi( i, from, to, expr , ) |
solve | Calculus Operator | f(x) = 0 equation solving, function root finding | solve( expr, a, b ) |
Keyword | Category | Description | Example |
---|---|---|---|
[Uni] | Random Variable | Random variable - Uniform continuous distribution U(0,1), usage example: 2*[Uni] | 2*[Uni] |
[Int] | Random Variable | Random variable - random integer - usage example sin( 3*[Int] ) | [Int]*3 |
[Int1] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1} - usage example sin( 3*[Int1] ) | 2*[Int1] |
[Int2] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2} - usage example sin( 3*[Int2] ) | [Int2]*3 |
[Int3] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3} - usage example sin( 3*[Int3] ) | 2*[Int3] |
[Int4] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4} - usage example sin( 3*[Int4] ) | [Int4]*3 |
[Int5] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5} - usage example sin( 3*[Int5] ) | 2*[Int5] |
[Int6] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6} - usage example sin( 3*[Int6] ) | [Int6]*3 |
[Int7] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7} - usage example sin( 3*[Int7] ) | 2*[Int7] |
[Int8] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8} - usage example sin( 3*[Int8] ) | [Int8]*3 |
[Int9] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9} - usage example sin( 3*[Int9] ) | 2*[Int9] |
[nat] | Random Variable | Random variable - random natural number including 0 - usage example sin( 3*[nat] ) | [nat]*3 |
[nat1] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1} - usage example sin( 3*[nat1] ) | 2*[nat1] |
[nat2] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2} - usage example sin( 3*[nat2] ) | [nat2]*3 |
[nat3] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3} - usage example sin( 3*[nat3] ) | 2*[nat3] |
[nat4] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4} - usage example sin( 3*[nat4] ) | [nat4]*3 |
[nat5] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5} - usage example sin( 3*[nat5] ) | 2*[nat5] |
[nat6] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6} - usage example sin( 3*[nat6] ) | [nat6]*3 |
[nat7] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7} - usage example sin( 3*[nat7] ) | 2*[nat7] |
[nat8] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8} - usage example sin( 3*[nat8] ) | [nat8]*3 |
[nat9] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9} - usage example sin( 3*[nat9] ) | 2*[nat9] |
[Nat] | Random Variable | Random variable - random natural number - usage example sin( 3*[Nat] ) | [Nat]*3 |
[Nat1] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^1} - usage example sin( 3*[Nat1] ) | 2*[Nat1] |
[Nat2] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^2} - usage example sin( 3*[Nat2] ) | [Nat2]*3 |
[Nat3] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^3} - usage example sin( 3*[Nat3] ) | 2*[Nat3] |
[Nat4] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^4} - usage example sin( 3*[Nat4] ) | [Nat4]*3 |
[Nat5] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^5} - usage example sin( 3*[Nat5] ) | 2*[Nat5] |
[Nat6] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^6} - usage example sin( 3*[Nat6] ) | [Nat6]*3 |
[Nat7] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^7} - usage example sin( 3*[Nat7] ) | 2*[Nat7] |
[Nat8] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^8} - usage example sin( 3*[Nat8] ) | [Nat8]*3 |
[Nat9] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^9} - usage example sin( 3*[Nat9] ) | 2*[Nat9] |
[Nor] | Random Variable | Random variable - Normal distribution N(0,1) - usage example cos( 3*[Nor]+1 ) | [Nor]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
pi | Constant Value | Pi, Archimedes' constant or Ludolph's number | 2*pi |
e | Constant Value | Napier's constant, or Euler's number, base of Natural logarithm | e*3 |
[gam] | Constant Value | Euler-Mascheroni constant | 2*[gam] |
[phi] | Constant Value | Golden ratio | [phi]*3 |
[PN] | Constant Value | Plastic constant | 2*[PN] |
[B*] | Constant Value | Embree-Trefethen constant | [B*]*3 |
[F'd] | Constant Value | Feigenbaum constant alfa | 2*[F'd] |
[F'a] | Constant Value | Feigenbaum constant delta | [F'a]*3 |
[C2] | Constant Value | Twin prime constant | 2*[C2] |
[M1] | Constant Value | Meissel-Mertens constant | [M1]*3 |
[B2] | Constant Value | Brun's constant for twin primes | 2*[B2] |
[B4] | Constant Value | Brun's constant for prime quadruplets | [B4]*3 |
[BN'L] | Constant Value | De Bruijn-Newman constant | 2*[BN'L] |
[Kat] | Constant Value | Catalan's constant | [Kat]*3 |
[K*] | Constant Value | Landau-Ramanujan constant | 2*[K*] |
[K.] | Constant Value | Viswanath's constant | [K.]*3 |
[B'L] | Constant Value | Legendre's constant | 2*[B'L] |
[RS'm] | Constant Value | Ramanujan-Soldner constant | [RS'm]*3 |
[EB'e] | Constant Value | Erdos-Borwein constant | 2*[EB'e] |
[Bern] | Constant Value | Bernstein's constant | [Bern]*3 |
[GKW'l] | Constant Value | Gauss-Kuzmin-Wirsing constant | 2*[GKW'l] |
[HSM's] | Constant Value | Hafner-Sarnak-McCurley constant | [HSM's]*3 |
[lm] | Constant Value | Golomb-Dickman constant | 2*[lm] |
[Cah] | Constant Value | Cahen's constant | [Cah]*3 |
[Ll] | Constant Value | Laplace limit | 2*[Ll] |
[AG] | Constant Value | Alladi-Grinstead constant | [AG]*3 |
[L*] | Constant Value | Lengyel's constant | 2*[L*] |
[L.] | Constant Value | Levy's constant | [L.]*3 |
[Dz3] | Constant Value | Apery's constant | 2*[Dz3] |
[A3n] | Constant Value | Mills' constant | [A3n]*3 |
[Bh] | Constant Value | Backhouse's constant | 2*[Bh] |
[Pt] | Constant Value | Porter's constant | [Pt]*3 |
[L2] | Constant Value | Lieb's square ice constant | 2*[L2] |
[Nv] | Constant Value | Niven's constant | [Nv]*3 |
[Ks] | Constant Value | Sierpinski's constant | 2*[Ks] |
[Kh] | Constant Value | Khinchin's constant | [Kh]*3 |
[FR] | Constant Value | Fransen-Robinson constant | 2*[FR] |
[La] | Constant Value | Landau's constant | [La]*3 |
[P2] | Constant Value | Parabolic constant | 2*[P2] |
[Om] | Constant Value | Omega constant | [Om]*3 |
[MRB] | Constant Value | MRB constant | 2*[MRB] |
[li2] | Constant Value | li(2) - logarithmic integral function at x=2 | [li2]*3 |
[EG] | Constant Value | Gompertz constant | 2*[EG] |
[true] | Constant Value | Boolean True represented as double, [true] = 1 | [true] |
[false] | Constant Value | Boolean False represented as double, [false] = 0 | [false] |
[NaN] | Constant Value | Not-a-Number | [NaN] |
Keyword | Category | Description | Example |
---|---|---|---|
[c] | Constant Value | <Physical Constant> Light speed in vacuum [m/s] (m=1, s=1) | [c]*3 |
[G.] | Constant Value | <Physical Constant> Gravitational constant (m=1, kg=1, s=1)] | 2*[G.] |
[g] | Constant Value | <Physical Constant> Gravitational acceleration on Earth [m/s^2] (m=1, s=1) | [g]*3 |
[hP] | Constant Value | <Physical Constant> Planck constant (m=1, kg=1, s=1) | 2*[hP] |
[h-] | Constant Value | <Physical Constant> Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)] | [h-]*3 |
[lP] | Constant Value | <Physical Constant> Planck length [m] (m=1) | 2*[lP] |
[mP] | Constant Value | <Physical Constant> Planck mass [kg] (kg=1) | [mP]*3 |
[tP] | Constant Value | <Physical Constant> Planck time [s] (s=1) | 2*[tP] |
Keyword | Category | Description | Example |
---|---|---|---|
[ly] | Constant Value | <Astronomical Constant> Light year [m] (m=1) | [ly]*3 |
[au] | Constant Value | <Astronomical Constant> Astronomical unit [m] (m=1) | 2*[au] |
[pc] | Constant Value | <Astronomical Constant> Parsec [m] (m=1) | [pc]*3 |
[kpc] | Constant Value | <Astronomical Constant> Kiloparsec [m] (m=1) | 2*[kpc] |
[Earth-R-eq] | Constant Value | <Astronomical Constant> Earth equatorial radius [m] (m=1) | [Earth-R-eq]*3 |
[Earth-R-po] | Constant Value | <Astronomical Constant> Earth polar radius [m] (m=1) | 2*[Earth-R-po] |
[Earth-R] | Constant Value | <Astronomical Constant> Earth mean radius (m=1) | [Earth-R]*3 |
[Earth-M] | Constant Value | <Astronomical Constant> Earth mass [kg] (kg=1) | 2*[Earth-M] |
[Earth-D] | Constant Value | <Astronomical Constant> Earth-Sun distance - semi major axis [m] (m=1) | [Earth-D]*3 |
[Moon-R] | Constant Value | <Astronomical Constant> Moon mean radius [m] (m=1) | 2*[Moon-R] |
[Moon-M] | Constant Value | <Astronomical Constant> Moon mass [kg] (kg=1) | [Moon-M]*3 |
[Moon-D] | Constant Value | <Astronomical Constant> Moon-Earth distance - semi major axis [m] (m=1) | 2*[Moon-D] |
[Solar-R] | Constant Value | <Astronomical Constant> Solar mean radius [m] (m=1) | [Solar-R]*3 |
[Solar-M] | Constant Value | <Astronomical Constant> Solar mass [kg] (kg=1) | 2*[Solar-M] |
[Mercury-R] | Constant Value | <Astronomical Constant> Mercury mean radius [m] (m=1) | [Mercury-R]*3 |
[Mercury-M] | Constant Value | <Astronomical Constant> Mercury mass [kg] (kg=1) | 2*[Mercury-M] |
[Mercury-D] | Constant Value | <Astronomical Constant> Mercury-Sun distance - semi major axis [m] (m=1) | [Mercury-D]*3 |
[Venus-R] | Constant Value | <Astronomical Constant> Venus mean radius [m] (m=1) | 2*[Venus-R] |
[Venus-M] | Constant Value | <Astronomical Constant> Venus mass [kg] (kg=1) | [Venus-M]*3 |
[Venus-D] | Constant Value | <Astronomical Constant> Venus-Sun distance - semi major axis [m] (m=1) | 2*[Venus-D] |
[Mars-R] | Constant Value | <Astronomical Constant> Mars mean radius [m] (m=1) | [Mars-R]*3 |
[Mars-M] | Constant Value | <Astronomical Constant> Mars mass [kg] (kg=1) | 2*[Mars-M] |
[Mars-D] | Constant Value | <Astronomical Constant> Mars-Sun distance - semi major axis [m] (m=1) | [Mars-D]*3 |
[Jupiter-R] | Constant Value | <Astronomical Constant> Jupiter mean radius [m] (m=1) | 2*[Jupiter-R] |
[Jupiter-M] | Constant Value | <Astronomical Constant> Jupiter mass [kg] (kg=1) | [Jupiter-M]*3 |
[Jupiter-D] | Constant Value | <Astronomical Constant> Jupiter-Sun distance - semi major axis [m] (m=1) | 2*[Jupiter-D] |
[Saturn-R] | Constant Value | <Astronomical Constant> Saturn mean radius [m] (m=1) | [Saturn-R]*3 |
[Saturn-M] | Constant Value | <Astronomical Constant> Saturn mass [kg] (kg=1) | 2*[Saturn-M] |
[Saturn-D] | Constant Value | <Astronomical Constant> Saturn-Sun distance - semi major axis [m] (m=1) | [Saturn-D]*3 |
[Uranus-R] | Constant Value | <Astronomical Constant> Uranus mean radius [m] (m=1) | 2*[Uranus-R] |
[Uranus-M] | Constant Value | <Astronomical Constant> Uranus mass [kg] (kg=1) | [Uranus-M]*3 |
[Uranus-D] | Constant Value | <Astronomical Constant> Uranus-Sun distance - semi major axis [m] (m=1) | 2*[Uranus-D] |
[Neptune-R] | Constant Value | <Astronomical Constant> Neptune mean radius [m] (m=1) | [Neptune-R]*3 |
[Neptune-M] | Constant Value | <Astronomical Constant> Neptune mass [kg] (kg=1) | 2*[Neptune-M] |
[Neptune-D] | Constant Value | <Astronomical Constant> Neptune-Sun distance - semi major axis [m] (m=1) | [Neptune-D]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[%] | Unit | <Ratio, Fraction> Percentage = 0.01 | 2*[%] |
[%%] | Unit | <Ratio, Fraction> Promil, Per mille = 0.001 | [%%]*3 |
[Y] | Unit | <Metric prefix> Septillion / Yotta = 10^24 | 2*[Y] |
[sept] | Unit | <Metric prefix> Septillion / Yotta = 10^24 | [sept]*3 |
[Z] | Unit | <Metric prefix> Sextillion / Zetta = 10^21 | 2*[Z] |
[sext] | Unit | <Metric prefix> Sextillion / Zetta = 10^21 | [sext]*3 |
[E] | Unit | <Metric prefix> Quintillion / Exa = 10^18 | 2*[E] |
[quint] | Unit | <Metric prefix> Quintillion / Exa = 10^18 | [quint]*3 |
[P] | Unit | <Metric prefix> Quadrillion / Peta = 10^15 | 2*[P] |
[quad] | Unit | <Metric prefix> Quadrillion / Peta = 10^15 | [quad]*3 |
[T] | Unit | <Metric prefix> Trillion / Tera = 10^12 | 2*[T] |
[tril] | Unit | <Metric prefix> Trillion / Tera = 10^12 | [tril]*3 |
[G] | Unit | <Metric prefix> Billion / Giga = 10^9 | 2*[G] |
[bil] | Unit | <Metric prefix> Billion / Giga = 10^9 | [bil]*3 |
[M] | Unit | <Metric prefix> Million / Mega = 10^6 | 2*[M] |
[mil] | Unit | <Metric prefix> Million / Mega = 10^6 | [mil]*3 |
[k] | Unit | <Metric prefix> Thousand / Kilo = 10^3 | 2*[k] |
[th] | Unit | <Metric prefix> Thousand / Kilo = 10^3 | [th]*3 |
[hecto] | Unit | <Metric prefix> Hundred / Hecto = 10^2 | 2*[hecto] |
[hund] | Unit | <Metric prefix> Hundred / Hecto = 10^2 | [hund]*3 |
[deca] | Unit | <Metric prefix> Ten / Deca = 10 | 2*[deca] |
[ten] | Unit | <Metric prefix> Ten / Deca = 10 | [ten]*3 |
[deci] | Unit | <Metric prefix> Tenth / Deci = 0.1 | 2*[deci] |
[centi] | Unit | <Metric prefix> Hundredth / Centi = 0.01 | [centi]*3 |
[milli] | Unit | <Metric prefix> Thousandth / Milli = 0.001 | 2*[milli] |
[mic] | Unit | <Metric prefix> Millionth / Micro = 10^-6 | [mic]*3 |
[n] | Unit | <Metric prefix> Billionth / Nano = 10^-9 | 2*[n] |
[p] | Unit | <Metric prefix> Trillionth / Pico = 10^-12 | [p]*3 |
[f] | Unit | <Metric prefix> Quadrillionth / Femto = 10^-15 | 2*[f] |
[a] | Unit | <Metric prefix> Quintillionth / Atoo = 10^-18 | [a]*3 |
[z] | Unit | <Metric prefix> Sextillionth / Zepto = 10^-21 | 2*[z] |
[y] | Unit | <Metric prefix> Septillionth / Yocto = 10^-24 | [y]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[m] | Unit | <Unit of length> Metre / Meter (m=1) | 2*[m] |
[km] | Unit | <Unit of length> Kilometre / Kilometer (m=1) | [km]*3 |
[cm] | Unit | <Unit of length> Centimetre / Centimeter (m=1) | 2*[cm] |
[mm] | Unit | <Unit of length> Millimetre / Millimeter (m=1) | [mm]*3 |
[inch] | Unit | <Unit of length> Inch (m=1) | 2*[inch] |
[yd] | Unit | <Unit of length> Yard (m=1) | [yd]*3 |
[ft] | Unit | <Unit of length> Feet (m=1) | 2*[ft] |
[mile] | Unit | <Unit of length> Mile (m=1) | [mile]*3 |
[nmi] | Unit | <Unit of length> Nautical mile (m=1) | 2*[nmi] |
Keyword | Category | Description | Example |
---|---|---|---|
[m2] | Unit | <Unit of area> Square metre / Square meter (m=1) | [m2]*3 |
[cm2] | Unit | <Unit of area> Square centimetre / Square centimeter (m=1) | 2*[cm2] |
[mm2] | Unit | <Unit of area> Square millimetre / Square millimeter (m=1) | [mm2]*3 |
[are] | Unit | <Unit of area> Are (m=1) | 2*[are] |
[ha] | Unit | <Unit of area> Hectare (m=1) | [ha]*3 |
[acre] | Unit | <Unit of area> Acre (m=1) | 2*[acre] |
[km2] | Unit | <Unit of area> Square kilometre / Square kilometer (m=1) | [km2]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[mm3] | Unit | <Unit of volume> Cubic millimetre / Cubic millimeter (m=1) | 2*[mm3] |
[cm3] | Unit | <Unit of volume> Cubic centimetre / Cubic centimeter (m=1) | [cm3]*3 |
[m3] | Unit | <Unit of volume> Cubic metre / Cubic meter (m=1) | 2*[m3] |
[km3] | Unit | <Unit of volume> Cubic kilometre / Cubic kilometer (m=1) | [km3]*3 |
[ml] | Unit | <Unit of volume> Millilitre / Milliliter (m=1) | 2*[ml] |
[l] | Unit | <Unit of volume> Litre / Liter (m=1) | [l]*3 |
[gall] | Unit | <Unit of volume> Gallon (m=1) | 2*[gall] |
[pint] | Unit | <Unit of volume> Pint (m=1) | [pint]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[s] | Unit | <Unit of time> Second (s=1) | 2*[s] |
[ms] | Unit | <Unit of time> Millisecond (s=1) | [ms]*3 |
[min] | Unit | <Unit of time> Minute (s=1) | 2*[min] |
[h] | Unit | <Unit of time> Hour (s=1) | [h]*3 |
[day] | Unit | <Unit of time> Day (s=1) | 2*[day] |
[week] | Unit | <Unit of time> Week (s=1) | [week]*3 |
[yearj] | Unit | <Unit of time> Julian year = 365.25 days (s=1) | 2*[yearj] |
Keyword | Category | Description | Example |
---|---|---|---|
[kg] | Unit | <Unit of mass> Kilogram (kg=1) | [kg]*3 |
[gr] | Unit | <Unit of mass> Gram (kg=1) | 2*[gr] |
[mg] | Unit | <Unit of mass> Milligram (kg=1) | [mg]*3 |
[dag] | Unit | <Unit of mass> Decagram (kg=1) | 2*[dag] |
[t] | Unit | <Unit of mass> Tonne (kg=1) | [t]*3 |
[oz] | Unit | <Unit of mass> Ounce (kg=1) | 2*[oz] |
[lb] | Unit | <Unit of mass> Pound (kg=1) | [lb]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[b] | Unit | <Unit of information> Bit (bit=1) | 2*[b] |
[kb] | Unit | <Unit of information> Kilobit (bit=1) | [kb]*3 |
[Mb] | Unit | <Unit of information> Megabit (bit=1) | 2*[Mb] |
[Gb] | Unit | <Unit of information> Gigabit (bit=1) | [Gb]*3 |
[Tb] | Unit | <Unit of information> Terabit (bit=1) | 2*[Tb] |
[Pb] | Unit | <Unit of information> Petabit (bit=1) | [Pb]*3 |
[Eb] | Unit | <Unit of information> Exabit (bit=1) | 2*[Eb] |
[Zb] | Unit | <Unit of information> Zettabit (bit=1) | [Zb]*3 |
[Yb] | Unit | <Unit of information> Yottabit (bit=1) | 2*[Yb] |
[B] | Unit | <Unit of information> Byte (bit=1) | [B]*3 |
[kB] | Unit | <Unit of information> Kilobyte (bit=1) | 2*[kB] |
[MB] | Unit | <Unit of information> Megabyte (bit=1) | [MB]*3 |
[GB] | Unit | <Unit of information> Gigabyte (bit=1) | 2*[GB] |
[TB] | Unit | <Unit of information> Terabyte (bit=1) | [TB]*3 |
[PB] | Unit | <Unit of information> Petabyte (bit=1) | 2*[PB] |
[EB] | Unit | <Unit of information> Exabyte (bit=1) | [EB]*3 |
[ZB] | Unit | <Unit of information> Zettabyte (bit=1) | 2*[ZB] |
[YB] | Unit | <Unit of information> Yottabyte (bit=1) | [YB]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[J] | Unit | <Unit of energy> Joule (m=1, kg=1, s=1) | 2*[J] |
[eV] | Unit | <Unit of energy> Electronovolt (m=1, kg=1, s=1) | [eV]*3 |
[keV] | Unit | <Unit of energy> Kiloelectronovolt (m=1, kg=1, s=1) | 2*[keV] |
[MeV] | Unit | <Unit of energy> Megaelectronovolt (m=1, kg=1, s=1) | [MeV]*3 |
[GeV] | Unit | <Unit of energy> Gigaelectronovolt (m=1, kg=1, s=1) | 2*[GeV] |
[TeV] | Unit | <Unit of energy> Teraelectronovolt (m=1, kg=1, s=1) | [TeV]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[m/s] | Unit | <Unit of speed> Metre / Meter per second (m=1, s=1) | 2*[m/s] |
[km/h] | Unit | <Unit of speed> Kilometre / Kilometer per hour (m=1, s=1) | [km/h]*3 |
[mi/h] | Unit | <Unit of speed> Mile per hour (m=1, s=1) | 2*[mi/h] |
[knot] | Unit | <Unit of speed> Knot (m=1, s=1) | [knot]*3 |
Keyword | Category | Description | Example |
---|---|---|---|
[m/s2] | Unit | <Unit of acceleration> Metre / Meter per square second (m=1, s=1) | 2*[m/s2] |
[km/h2] | Unit | <Unit of acceleration> Kilometre / Kilometer per square hour (m=1, s=1) | [km/h2]*3 |
[mi/h2] | Unit | <Unit of acceleration> Mile per square hour (m=1, s=1) | 2*[mi/h2] |
Keyword | Category | Description | Example |
---|---|---|---|
[rad] | Unit | <Unit of angle> Radian (rad=1) | [rad]*pi |
[deg] | Unit | <Unit of angle> Degree of arc (rad=1) | 180*[deg] |
['] | Unit | <Unit of angle> Minute of arc (rad=1) | [']*3 |
[''] | Unit | <Unit of angle> Second of arc (rad=1) | 2*[''] |
Keyword | Category | Description | Example |
---|---|---|---|
( | Parser Symbol | Left parentheses | (3+2)/4 |
) | Parser Symbol | Right parentheses | (3+2)/4 |
, | Parser Symbol | Comma (function parameters) | min(2,3,1) |
; | Parser Symbol | Semicolon (function parameters) | min(2;3;1) |