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All built in tokens

Mariusz Gromada edited this page Apr 15, 2022 · 5 revisions

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INFIMA

Built-in tokens - complete list

Key word Category Description Example Since
+ Operator Addition a + b 1.0
- Operator Subtraction a - b 1.0
* Operator Multiplication a * b 1.0
× Operator Multiplication - unicode math symbol a × b 5.0
Operator Multiplication - unicode math symbol a ⨉ b 5.0
Operator Multiplication - unicode math symbol a ∙ b 5.0
/ Operator Division a / b 1.0
÷ Operator Division - unicode math symbol a ÷ b 5.0
^ Operator Exponentiation a^b 1.0
! Operator Factorial n! 1.0
# Operator Modulo function a # b 1.0
% Operator Percentage n% 4.1
^^ Operator Tetration (hyper-4, power tower, exponential tower) a^^b 4.2
Operator Square root function represented as unary left operator - unicode math symbol √x 5.0
Operator Cube root function represented as unary left operator - unicode math symbol ∛x 5.0
Operator Fourth root function represented as unary left operator - unicode math symbol ∜x 5.0
& Boolean Operator Logical conjunction (AND) p & q 1.0
Boolean Operator Logical conjunction (AND) - unicode math symbol p ∧ q 5.0
&& Boolean Operator Logical conjunction (AND) p && q 1.0
/\ Boolean Operator Logical conjunction (AND) p /\ q 1.0
Boolean Operator NAND - Sheffer stroke - unicode math symbol p ⊼ q 5.0
~& Boolean Operator NAND - Sheffer stroke p ~& q 1.0
~∧ Boolean Operator NAND - Sheffer stroke - unicode math symbol p ~∧ q 5.0
¬& Boolean Operator NAND - Sheffer stroke - unicode math symbol p ¬& q 5.0
¬∧ Boolean Operator NAND - Sheffer stroke - unicode math symbol p ¬∧ q 5.0
~&& Boolean Operator NAND - Sheffer stroke p ~&& q 1.0
~/\ Boolean Operator NAND - Sheffer stroke p ~/\ q 1.0
¬&& Boolean Operator NAND - Sheffer stroke - unicode math symbol p ¬&& q 5.0
¬/\ Boolean Operator NAND - Sheffer stroke - unicode math symbol p ¬/\ q 5.0
| Boolean Operator Logical disjunction (OR) p | q 1.0
Boolean Operator Logical disjunction (OR) - unicode math symbol p ∨ q 5.0
|| Boolean Operator Logical disjunction (OR) p || q 1.0
/ Boolean Operator Logical disjunction (OR) p / q 1.0
Boolean Operator Logical NOR - unicode math symbol p ⊽ q 5.0
~| Boolean Operator Logical NOR p ~| q 1.0
~∨ Boolean Operator Logical NOR - unicode math symbol p ~∨ q 5.0
¬| Boolean Operator Logical NOR - unicode math symbol p ¬| q 5.0
¬∨ Boolean Operator Logical NOR - unicode math symbol p ¬∨ q 5.0
~|| Boolean Operator Logical NOR p ~|| q 1.0
~/ Boolean Operator Logical NOR p ~/ q 1.0
¬|| Boolean Operator Logical NOR - unicode math symbol p ¬|| q 5.0
¬/ Boolean Operator Logical NOR - unicode math symbol p ¬/ q 5.0
Boolean Operator Exclusive or (XOR) - unicode math symbol p ⊻ q 5.0
(+) Boolean Operator Exclusive or (XOR) p (+) q 1.0
Boolean Operator Implication (IMP) - unicode math symbol p ⇒ q 5.0
--> Boolean Operator Implication (IMP) p --> q 1.0
Boolean Operator Converse implication (CIMP) - unicode math symbol p ⇐ q 5.0
<-- Boolean Operator Converse implication (CIMP) p <-- q 1.0
Boolean Operator Material nonimplication (NIMP) - unicode math symbol p ⇏ q 5.0
-/> Boolean Operator Material nonimplication (NIMP) p -/> q 1.0
Boolean Operator Converse nonimplication (CNIMP) - unicode math symbol p ⇍ q 5.0
</- Boolean Operator Converse nonimplication (CNIMP) p </- q 1.0
Boolean Operator Logical biconditional (EQV) - unicode math symbol p ⇔ q 5.0
<-> Boolean Operator Logical biconditional (EQV) p <-> q 1.0
~ Boolean Operator Negation ~p 1.0
¬ Boolean Operator Negation - unicode math symbol ¬p 5.0
= Binary Relation Equality a = b 1.0
== Binary Relation Equality a == b 1.0
Binary Relation Inequation - unicode math symbol a ≠ b 5.0
<> Binary Relation Inequation a <> b 1.0
~= Binary Relation Inequation a ~= b 1.0
!= Binary Relation Inequation a != b 1.0
< Binary Relation Lower than a < b 1.0
> Binary Relation Greater than a > b 1.0
Binary Relation Lower or equal - unicode math symbol a ≤ b 5.0
Binary Relation Lower or equal - unicode math symbol a ⋜ b 5.0
<= Binary Relation Lower or equal a <= b 1.0
Binary Relation Greater or equal - unicode math symbol a ≥ b 5.0
Binary Relation Greater or equal - unicode math symbol a ⋝ b 5.0
>= Binary Relation Greater or equal a >= b 1.0
sin Unary Function Trigonometric sine function sin(x) 1.0
cos Unary Function Trigonometric cosine function cos(x) 1.0
tg Unary Function Trigonometric tangent function tg(x) 1.0
tan Unary Function Trigonometric tangent function tan(x) 1.0
ctg Unary Function Trigonometric cotangent function ctg(x) 1.0
cot Unary Function Trigonometric cotangent function cot(x) 1.0
ctan Unary Function Trigonometric cotangent function ctan(x) 1.0
sec Unary Function Trigonometric secant function sec(x) 1.0
csc Unary Function Trigonometric cosecant function csc(x) 1.0
cosec Unary Function Trigonometric cosecant function cosec(x) 1.0
asin Unary Function Inverse trigonometric sine function asin(x) 1.0
arsin Unary Function Inverse trigonometric sine function arsin(x) 1.0
arcsin Unary Function Inverse trigonometric sine function arcsin(x) 1.0
acos Unary Function Inverse trigonometric cosine function acos(x) 1.0
arcos Unary Function Inverse trigonometric cosine function arcos(x) 1.0
arccos Unary Function Inverse trigonometric cosine function arccos(x) 1.0
atg Unary Function Inverse trigonometric tangent function atg(x) 1.0
atan Unary Function Inverse trigonometric tangent function atan(x) 1.0
arctg Unary Function Inverse trigonometric tangent function arctg(x) 1.0
arctan Unary Function Inverse trigonometric tangent function arctan(x) 1.0
actg Unary Function Inverse trigonometric cotangent function actg(x) 1.0
acot Unary Function Inverse trigonometric cotangent function acot(x) 1.0
actan Unary Function Inverse trigonometric cotangent function actan(x) 1.0
arcctg Unary Function Inverse trigonometric cotangent function arcctg(x) 1.0
arccot Unary Function Inverse trigonometric cotangent function arccot(x) 1.0
arcctan Unary Function Inverse trigonometric cotangent function arcctan(x) 1.0
ln Unary Function Natural logarithm function (base e) ln(x) 1.0
log2 Unary Function Binary logarithm function (base 2) log2(x) 1.0
lg Unary Function Common logarithm function (base 10) lg(x) 5.0
log10 Unary Function Common logarithm function (base 10) log10(x) 1.0
rad Unary Function Degrees to radians function rad(x) 1.0
exp Unary Function Exponential function exp(x) 1.0
sqrt Unary Function Squre root function sqrt(x) 1.0
sinh Unary Function Hyperbolic sine function sinh(x) 1.0
cosh Unary Function Hyperbolic cosine function cosh(x) 1.0
tgh Unary Function Hyperbolic tangent function tgh(x) 1.0
tanh Unary Function Hyperbolic tangent function tanh(x) 1.0
coth Unary Function Hyperbolic cotangent function coth(x) 1.0
ctgh Unary Function Hyperbolic cotangent function ctgh(x) 1.0
ctanh Unary Function Hyperbolic cotangent function ctanh(x) 1.0
sech Unary Function Hyperbolic secant function sech(x) 1.0
csch Unary Function Hyperbolic cosecant function csch(x) 1.0
cosech Unary Function Hyperbolic cosecant function cosech(x) 1.0
deg Unary Function Radians to degrees function deg(x) 1.0
abs Unary Function Absolut value function abs(x) 1.0
sgn Unary Function Signum function sgn(x) 1.0
floor Unary Function Floor function floor(x) 1.0
ceil Unary Function Ceiling function ceil(x) 1.0
not Unary Function Negation function not(x) 1.0
asinh Unary Function Inverse hyperbolic sine function asinh(x) 1.0
arsinh Unary Function Inverse hyperbolic sine function arsinh(x) 1.0
arcsinh Unary Function Inverse hyperbolic sine function arcsinh(x) 1.0
acosh Unary Function Inverse hyperbolic cosine function acosh(x) 1.0
arcosh Unary Function Inverse hyperbolic cosine function arcosh(x) 1.0
arccosh Unary Function Inverse hyperbolic cosine function arccosh(x) 1.0
atgh Unary Function Inverse hyperbolic tangent function atgh(x) 1.0
atanh Unary Function Inverse hyperbolic tangent function atanh(x) 1.0
arctgh Unary Function Inverse hyperbolic tangent function arctgh(x) 1.0
arctanh Unary Function Inverse hyperbolic tangent function arctanh(x) 1.0
acoth Unary Function Inverse hyperbolic cotangent function acoth(x) 1.0
actgh Unary Function Inverse hyperbolic cotangent function actgh(x) 1.0
actanh Unary Function Inverse hyperbolic cotangent function actanh(x) 1.0
arcoth Unary Function Inverse hyperbolic cotangent function arcoth(x) 1.0
arccoth Unary Function Inverse hyperbolic cotangent function arccoth(x) 1.0
arcctgh Unary Function Inverse hyperbolic cotangent function arcctgh(x) 1.0
arcctanh Unary Function Inverse hyperbolic cotangent function arcctanh(x) 1.0
asech Unary Function Inverse hyperbolic secant function asech(x) 1.0
arsech Unary Function Inverse hyperbolic secant function arsech(x) 1.0
arcsech Unary Function Inverse hyperbolic secant function arcsech(x) 1.0
acsch Unary Function Inverse hyperbolic cosecant function acsch(x) 1.0
arcsch Unary Function Inverse hyperbolic cosecant function arcsch(x) 1.0
arccsch Unary Function Inverse hyperbolic cosecant function arccsch(x) 1.0
acosech Unary Function Inverse hyperbolic cosecant function acosech(x) 1.0
arcosech Unary Function Inverse hyperbolic cosecant function arcosech(x) 1.0
arccosech Unary Function Inverse hyperbolic cosecant function arccosech(x) 1.0
Sa Unary Function Sinc function (normalized) Sa(x) 1.0
sinc Unary Function Sinc function (normalized) sinc(x) 1.0
Sinc Unary Function Sinc function (unnormalized) Sinc(x) 1.0
Bell Unary Function Bell number Bell(n) 1.0
Luc Unary Function Lucas number Luc(n) 1.0
Fib Unary Function Fibonacci number Fib(n) 1.0
harm Unary Function Harmonic number harm(n) 1.0
ispr Unary Function Prime number test (is number a prime?) ispr(n) 2.3
Pi Unary Function Prime-counting function - Pi(x) Pi(n) 2.3
Ei Unary Function Exponential integral function (non-elementary special function) - usage example: Ei(x) Ei(x) 2.3
li Unary Function Logarithmic integral function (non-elementary special function) - usage example: li(x) li(x) 2.3
Li Unary Function Offset logarithmic integral function (non-elementary special function) - usage example: Li(x) Li(x) 2.3
erf Unary Function Gauss error function (non-elementary special function) - usage example: 2 + erf(x) erf(x) 3.0
erfc Unary Function Gauss complementary error function (non-elementary special function) - usage example: 1 - erfc(x) erfc(x) 3.0
erfInv Unary Function Inverse Gauss error function (non-elementary special function) - usage example: erfInv(x) erfInv(x) 3.0
erfcInv Unary Function Inverse Gauss complementary error function (non-elementary special function) - usage example: erfcInv(x) erfcInv(x) 3.0
ulp Unary Function Unit in The Last Place - ulp(0.1) ulp(x) 3.0
isNaN Unary Function Returns true = 1 if value is a Not-a-Number (NaN), false = 0 otherwise - usage example: isNaN(x) isNaN(x) 4.1
ndig10 Unary Function Number of digits in numeral system with base 10 ndig10(x) 4.1
nfact Unary Function Prime decomposition - number of distinct prime factors nfact(x) 4.1
arcsec Unary Function Inverse trigonometric secant arcsec(x) 4.1
arccsc Unary Function Inverse trigonometric cosecant arccsc(x) 4.1
Gamma Unary Function Gamma special function Γ(s) Gamma(x) 4.2
LambW0 Unary Function Lambert-W special function, principal branch 0, also called the omega function or product logarithm LambW0(x) 4.2
LambW1 Unary Function Lambert-W special function, branch -1, also called the omega function or product logarithm LambW1(x) 4.2
sgnGamma Unary Function Signum of Gamma special function, Γ(s) sgnGamma(x) 4.2
logGamma Unary Function Log Gamma special function, lnΓ(s) logGamma(x) 4.2
diGamma Unary Function Digamma function as the logarithmic derivative of the Gamma special function, ψ(x) diGamma(x) 4.2
rStud Unary Function Random variable - Student's t-distribution rStud(v) 5.0
rChi2 Unary Function Random variable - Chi-squared distribution rChi2(k) 5.0
log Binary Function Logarithm function log(a, b) 1.0
mod Binary Function Modulo function mod(a, b) 1.0
C Binary Function Binomial coefficient function, number of k-combinations that can be drawn from n-elements set C(n, k) 1.0
nCk Binary Function Binomial coefficient function, number of k-combinations that can be drawn from n-elements set nCk(n, k) 4.2
Bern Binary Function Bernoulli numbers Bern(m, n) 1.0
Stirl1 Binary Function Stirling numbers of the first kind Stirl1(n, k) 1.0
Stirl2 Binary Function Stirling numbers of the second kind Stirl2(n, k) 1.0
Worp Binary Function Worpitzky number Worp(n, k) 1.0
Euler Binary Function Euler number Euler(n, k) 1.0
KDelta Binary Function Kronecker delta KDelta(i, j) 1.0
EulerPol Binary Function EulerPol EulerPol(m, x) 1.0
Harm Binary Function Harmonic number Harm(x, n) 1.0
rUni Binary Function Random variable - Uniform continuous distribution U(a,b), usage example: 2*rUni(2,10) rUni(a, b) 3.0
rUnid Binary Function Random variable - Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100) rUnid(a, b) 3.0
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) 3.0
rNor Binary Function Random variable - Normal distribution N(m,s) m - mean, s - stddev, usage example: 3*rNor(0,1) rNor(mean, stdv) 3.0
ndig Binary Function Number of digits representing the number in numeral system with given base ndig(number, base) 4.1
dig10 Binary Function Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - base 10 numeral system dig10(num, pos) 4.1
factval Binary Function Prime decomposition - factor value at position between 1 ... nfact(n) - ascending order by factor value factval(number, factorid) 4.1
factexp Binary Function Prime decomposition - factor exponent / multiplicity at position between 1 ... nfact(n) - ascending order by factor value factexp(number, factorid) 4.1
root Binary Function N-th order root of a number root(rootorder, number) 4.1
GammaL Binary Function Lower incomplete gamma special function, γ(s,x) GammaL(s, x) 4.2
GammaU Binary Function Upper incomplete Gamma special function, Γ(s,x) GammaU(s, x) 4.2
GammaP Binary Function Lower regularized P gamma special function, P(s,x) GammaP(s, x) 4.2
GammaRegL Binary Function Lower regularized P gamma special function, P(s,x) GammaRegL(s, x) 4.2
GammaQ Binary Function Upper regularized Q Gamma special function, Q(s,x) GammaQ(s, x) 4.2
GammaRegU Binary Function Upper regularized Q Gamma special function, Q(s,x) GammaRegU(s, x) 4.2
nPk Binary Function Number of k-permutations that can be drawn from n-elements set nPk(n, k) 4.2
Beta Binary Function The Beta special function B(x,y), also called the Euler integral of the first kind Beta(x, y) 4.2
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) 4.2
pStud Binary Function Probability distribution function - Student's t-distribution pStud(x, v) 5.0
cStud Binary Function Cumulative distribution function - Student's t-distribution cStud(x, v) 5.0
qStud Binary Function Quantile function (inverse cumulative distribution function) - Student's t-distribution qStud(p, v) 5.0
pChi2 Binary Function Probability distribution function - Chi-squared distribution pStud(x, k) 5.0
cChi2 Binary Function Cumulative distribution function - Chi-squared distribution cStud(x, k) 5.0
qChi2 Binary Function Quantile function (inverse cumulative distribution function) - Chi-squared distribution qStud(p, k) 5.0
if 3-args Function If function if(cond, expr-if-true, expr-if-false) 1.0
chi 3-args Function Characteristic function for x in (a,b) chi(x, a, b) 1.0
CHi 3-args Function Characteristic function for x in [a,b] CHi(x, a, b) 1.0
Chi 3-args Function Characteristic function for x in [a,b) Chi(x, a, b) 1.0
cHi 3-args Function Characteristic function for x in (a,b] cHi(x, a, b) 1.0
pUni 3-args Function Probability distribution function - Uniform continuous distribution U(a,b) pUni(x, a, b) 3.0
cUni 3-args Function Cumulative distribution function - Uniform continuous distribution U(a,b) cUni(a, a, b) 3.0
qUni 3-args Function Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b) qUni(q, a, b) 3.0
pNor 3-args Function Probability distribution function - Normal distribution N(m,s) pNor(x, mean, stdv) 3.0
cNor 3-args Function Cumulative distribution function - Normal distribution N(m,s) cNor(x, mean, stdv) 3.0
qNor 3-args Function Quantile function (inverse cumulative distribution function) qNor(q, mean, stdv) 3.0
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) 4.1
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) 4.2
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) 4.2
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) 4.2
iff Variadic Function If function iff(cond-1, expr-1; ... ; cond-n, expr-n) 1.0
min Variadic Function Minimum function min(a1, ..., an) 1.0
max Variadic Function Maximum function max(a1, ..., an) 1.0
ConFrac Variadic Function Continued fraction ConFrac(a1, ..., an) 1.0
ConPol Variadic Function Continued polynomial ConPol(a1, ..., an) 1.0
gcd Variadic Function Greatest common divisor gcd(a1, ..., an) 1.0
lcm Variadic Function Least common multiple lcm(a1, ..., an) 1.0
add Variadic Function Summation operator add(a1, ..., an) 2.4
multi Variadic Function Multiplication multi(a1, ..., an) 2.4
mean Variadic Function Mean / average value mean(a1, ..., an) 2.4
var Variadic Function Bias-corrected sample variance var(a1, ..., an) 2.4
std Variadic Function Bias-corrected sample standard deviation std(a1, ..., an) 2.4
rList Variadic Function Random number from given list of numbers rList(a1, ..., an) 3.0
coalesce Variadic Function Returns the first non-NaN value coalesce(a1, ..., an) 4.1
or Variadic Function Logical disjunction (OR) - variadic or(a1, ..., an) 4.1
and Variadic Function Logical conjunction (AND) - variadic and(a1, ..., an) 4.1
xor Variadic Function Exclusive or (XOR) - variadic xor(a1, ..., an) 4.1
argmin Variadic Function Arguments / indices of the minima argmin(a1, ..., an) 4.1
argmax Variadic Function Arguments / indices of the maxima argmax(a1, ..., an) 4.1
med Variadic Function The sample median med(a1, ..., an) 4.1
mode Variadic Function Mode - the value that appears most often mode(a1, ..., an) 4.1
base Variadic Function Returns number in given numeral system base represented by list of digits base(b, d1, ..., dn) 4.1
ndist Variadic Function Number of distinct values ndist(v1, ..., vn) 4.1
Calculus Operator Summation operator - SIGMA - unicode math symbol ∑(i, from, to, expr, ) 5.0
Σ Calculus Operator Summation operator - SIGMA - unicode math symbol Σ(i, from, to, expr, ) 5.0
sum Calculus Operator Summation operator - SIGMA sum(i, from, to, expr, ) 1.0
Calculus Operator Product operator - PI - unicode math symbol ∏(i, from, to, expr, ) 5.0
Calculus Operator Product operator - PI - unicode math symbol ℿ(i, from, to, expr, ) 5.0
Π Calculus Operator Product operator - PI - unicode math symbol Π(i, from, to, expr, ) 5.0
prod Calculus Operator Product operator - PI prod(i, from, to, expr, ) 1.0
Calculus Operator Definite integral operator - unicode math symbol ∫(expr, arg, from, to) 5.0
int Calculus Operator Definite integral operator int(expr, arg, from, to) 1.0
Calculus Operator Derivative operator - unicode math symbol ∂(expr, arg, ) 5.0
der Calculus Operator Derivative operator der(expr, arg, ) 1.0
∂- Calculus Operator Left derivative operator - unicode math symbol ∂-(expr, arg, ) 5.0
der- Calculus Operator Left derivative operator der-(expr, arg, ) 1.0
∂+ Calculus Operator Right derivative operator - unicode math symbol ∂+(expr, arg, ) 5.0
der+ Calculus Operator Right derivative operator der+(expr, arg, ) 1.0
dern Calculus Operator n-th derivative operator dern(expr, n, arg) 1.0
Calculus Operator Forward difference operator - unicode math symbol ∆(expr, arg, ) 5.0
Δ Calculus Operator Forward difference operator - unicode math symbol Δ(expr, arg, ) 5.0
diff Calculus Operator Forward difference operator diff(expr, arg, ) 1.0
Calculus Operator Backward difference operator - unicode math symbol ∇(expr, arg, ) 5.0
difb Calculus Operator Backward difference operator difb(expr, arg, ) 1.0
avg Calculus Operator Average operator avg(i, from, to, expr, ) 2.4
vari Calculus Operator Bias-corrected sample variance operator vari(i, from, to, expr, ) 2.4
stdi Calculus Operator Bias-corrected sample standard deviation operator stdi(i, from, to, expr, ) 2.4
mini Calculus Operator Minimum value mini(i, from, to, expr, ) 2.4
maxi Calculus Operator Maximum value maxi(i, from, to, expr, ) 2.4
solve Calculus Operator f(x) = 0 equation solving, function root finding solve(expr, arg, from, to) 4.0
π Constant Value Pi, Archimedes' constant or Ludolph's number - unicode math symbol π 5.0
Constant Value Pi, Archimedes' constant or Ludolph's number - unicode math symbol 5.0
pi Constant Value Pi, Archimedes' constant or Ludolph's number pi 1.0
e Constant Value Napier's constant, or Euler's number, base of Natural logarithm e 1.0
Constant Value Napier's constant, or Euler's number, base of Natural logarithm - unicode math symbol 5.0
Constant Value Napier's constant, or Euler's number, base of Natural logarithm - unicode math symbol 5.0
[gam] Constant Value Euler-Mascheroni constant [gam] 1.0
[phi] Constant Value Golden ratio [phi] 1.0
[PN] Constant Value Plastic constant [PN] 1.0
[B*] Constant Value Embree-Trefethen constant [B*] 1.0
[F'd] Constant Value Feigenbaum constant alfa [F'd] 1.0
[F'a] Constant Value Feigenbaum constant delta [F'a] 1.0
[C2] Constant Value Twin prime constant [C2] 1.0
[M1] Constant Value Meissel-Mertens constant [M1] 1.0
[B2] Constant Value Brun's constant for twin primes [B2] 1.0
[B4] Constant Value Brun's constant for prime quadruplets [B4] 1.0
[BN'L] Constant Value de Bruijn-Newman constant [BN'L] 1.0
[Kat] Constant Value Catalan's constant [Kat] 1.0
[K*] Constant Value Landau-Ramanujan constant [K*] 1.0
[K.] Constant Value Viswanath's constant [K.] 1.0
[B'L] Constant Value Legendre's constant [B'L] 1.0
[RS'm] Constant Value Ramanujan-Soldner constant [RS'm] 1.0
[EB'e] Constant Value Erdos-Borwein constant [EB'e] 1.0
[Bern] Constant Value Bernstein's constant [Bern] 1.0
[GKW'l] Constant Value Gauss-Kuzmin-Wirsing constant [GKW'l] 1.0
[HSM's] Constant Value Hafner-Sarnak-McCurley constant [HSM's] 1.0
[lm] Constant Value Golomb-Dickman constant [lm] 1.0
[Cah] Constant Value Cahen's constant [Cah] 1.0
[Ll] Constant Value Laplace limit [Ll] 1.0
[AG] Constant Value Alladi-Grinstead constant [AG] 1.0
[L*] Constant Value Lengyel's constant [L*] 1.0
[L.] Constant Value Levy's constant [L.] 1.0
[Dz3] Constant Value Apery's constant [Dz3] 1.0
[A3n] Constant Value Mills' constant [A3n] 1.0
[Bh] Constant Value Backhouse's constant [Bh] 1.0
[Pt] Constant Value Porter's constant [Pt] 1.0
[L2] Constant Value Lieb's square ice constant [L2] 1.0
[Nv] Constant Value Niven's constant [Nv] 1.0
[Ks] Constant Value Sierpinski's constant [Ks] 1.0
[Kh] Constant Value Khinchin's constant [Kh] 1.0
[FR] Constant Value Fransen-Robinson constant [FR] 1.0
[La] Constant Value Landau's constant [La] 1.0
[P2] Constant Value Parabolic constant [P2] 1.0
[Om] Constant Value Omega constant [Om] 1.0
[MRB] Constant Value MRB constant [MRB] 1.0
[li2] Constant Value li(2) - Logarithmic integral function at x=2 [li2] 2.3
[EG] Constant Value Gompertz constant [EG] 2.3
[c] Constant Value <Physical Constant> Light speed in vacuum [m/s] (m=1, s=1) [c] 4.0
[G.] Constant Value <Physical Constant> Gravitational constant (m=1, kg=1, s=1)] [G.] 4.0
[g] Constant Value <Physical Constant> Gravitational acceleration on Earth [m/s^2] (m=1, s=1) [g] 4.0
[hP] Constant Value <Physical Constant> Planck constant (m=1, kg=1, s=1) [hP] 4.0
[h-] Constant Value <Physical Constant> Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)] [h-] 4.0
[lP] Constant Value <Physical Constant> Planck length [m] (m=1) [lP] 4.0
[mP] Constant Value <Physical Constant> Planck mass [kg] (kg=1) [mP] 4.0
[tP] Constant Value <Physical Constant> Planck time [s] (s=1) [tP] 4.0
[ly] Constant Value <Astronomical Constant> Light year [m] (m=1) [ly] 4.0
[au] Constant Value <Astronomical Constant> Astronomical unit [m] (m=1) [au] 4.0
[pc] Constant Value <Astronomical Constant> Parsec [m] (m=1) [pc] 4.0
[kpc] Constant Value <Astronomical Constant> Kiloparsec [m] (m=1) [kpc] 4.0
[Earth-R-eq] Constant Value <Astronomical Constant> Earth equatorial radius [m] (m=1) [Earth-R-eq] 4.0
[Earth-R-po] Constant Value <Astronomical Constant> Earth polar radius [m] (m=1) [Earth-R-po] 4.0
[Earth-R] Constant Value <Astronomical Constant> Earth mean radius (m=1) [Earth-R] 4.0
[Earth-M] Constant Value <Astronomical Constant> Earth mass [kg] (kg=1) [Earth-M] 4.0
[Earth-D] Constant Value <Astronomical Constant> Earth-Sun distance - semi major axis [m] (m=1) [Earth-D] 4.0
[Moon-R] Constant Value <Astronomical Constant> Moon mean radius [m] (m=1) [Moon-R] 4.0
[Moon-M] Constant Value <Astronomical Constant> Moon mass [kg] (kg=1) [Moon-M] 4.0
[Moon-D] Constant Value <Astronomical Constant> Moon-Earth distance - semi major axis [m] (m=1) [Moon-D] 4.0
[Solar-R] Constant Value <Astronomical Constant> Solar mean radius [m] (m=1) [Solar-R] 4.0
[Solar-M] Constant Value <Astronomical Constant> Solar mass [kg] (kg=1) [Solar-M] 4.0
[Mercury-R] Constant Value <Astronomical Constant> Mercury mean radius [m] (m=1) [Mercury-R] 4.0
[Mercury-M] Constant Value <Astronomical Constant> Mercury mass [kg] (kg=1) [Mercury-M] 4.0
[Mercury-D] Constant Value <Astronomical Constant> Mercury-Sun distance - semi major axis [m] (m=1) [Mercury-D] 4.0
[Venus-R] Constant Value <Astronomical Constant> Venus mean radius [m] (m=1) [Venus-R] 4.0
[Venus-M] Constant Value <Astronomical Constant> Venus mass [kg] (kg=1) [Venus-M] 4.0
[Venus-D] Constant Value <Astronomical Constant> Venus-Sun distance - semi major axis [m] (m=1) [Venus-D] 4.0
[Mars-R] Constant Value <Astronomical Constant> Mars mean radius [m] (m=1) [Mars-R] 4.0
[Mars-M] Constant Value <Astronomical Constant> Mars mass [kg] (kg=1) [Mars-M] 4.0
[Mars-D] Constant Value <Astronomical Constant> Mars-Sun distance - semi major axis [m] (m=1) [Mars-D] 4.0
[Jupiter-R] Constant Value <Astronomical Constant> Jupiter mean radius [m] (m=1) [Jupiter-R] 4.0
[Jupiter-M] Constant Value <Astronomical Constant> Jupiter mass [kg] (kg=1) [Jupiter-M] 4.0
[Jupiter-D] Constant Value <Astronomical Constant> Jupiter-Sun distance - semi major axis [m] (m=1) [Jupiter-D] 4.0
[Saturn-R] Constant Value <Astronomical Constant> Saturn mean radius [m] (m=1) [Saturn-R] 4.0
[Saturn-M] Constant Value <Astronomical Constant> Saturn mass [kg] (kg=1) [Saturn-M] 4.0
[Saturn-D] Constant Value <Astronomical Constant> Saturn-Sun distance - semi major axis [m] (m=1) [Saturn-D] 4.0
[Uranus-R] Constant Value <Astronomical Constant> Uranus mean radius [m] (m=1) [Uranus-R] 4.0
[Uranus-M] Constant Value <Astronomical Constant> Uranus mass [kg] (kg=1) [Uranus-M] 4.0
[Uranus-D] Constant Value <Astronomical Constant> Uranus-Sun distance - semi major axis [m] (m=1) [Uranus-D] 4.0
[Neptune-R] Constant Value <Astronomical Constant> Neptune mean radius [m] (m=1) [Neptune-R] 4.0
[Neptune-M] Constant Value <Astronomical Constant> Neptune mass [kg] (kg=1) [Neptune-M] 4.0
[Neptune-D] Constant Value <Astronomical Constant> Neptune-Sun distance - semi major axis [m] (m=1) [Neptune-D] 4.0
[true] Constant Value Boolean True represented as double, [true] = 1 [true] 4.1
[false] Constant Value Boolean False represented as double, [false] = 0 [false] 4.1
[NaN] Constant Value Not-a-Number [NaN] 4.1
[Uni] Random Variable Random variable - Uniform continuous distribution U(0,1) [Uni] 3.0
[Int] Random Variable Random variable - random integer [Int] 3.0
[Int1] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1} [Int1] 3.0
[Int2] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2} [Int2] 3.0
[Int3] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3} [Int3] 3.0
[Int4] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4} [Int4] 3.0
[Int5] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5} [Int5] 3.0
[Int6] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6} [Int6] 3.0
[Int7] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7} [Int7] 3.0
[Int8] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8} [Int8] 3.0
[Int9] Random Variable Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9} [Int9] 3.0
[nat] Random Variable Random variable - random natural number including 0 [nat] 3.0
[nat1] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1} [nat1] 3.0
[nat2] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2} [nat2] 3.0
[nat3] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3} [nat3] 3.0
[nat4] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4} [nat4] 3.0
[nat5] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5} [nat5] 3.0
[nat6] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6} [nat6] 3.0
[nat7] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7} [nat7] 3.0
[nat8] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8} [nat8] 3.0
[nat9] Random Variable Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9} [nat9] 3.0
[Nat] Random Variable Random variable - random natural number [Nat] 3.0
[Nat1] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^1} [Nat1] 3.0
[Nat2] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^2} [Nat2] 3.0
[Nat3] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^3} [Nat3] 3.0
[Nat4] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^4} [Nat4] 3.0
[Nat5] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^5} [Nat5] 3.0
[Nat6] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^6} [Nat6] 3.0
[Nat7] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^7} [Nat7] 3.0
[Nat8] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^8} [Nat8] 3.0
[Nat9] Random Variable Random variable - random natural number - Uniform discrete distribution U{1, 10^9} [Nat9] 3.0
[Nor] Random Variable Random variable - Normal distribution N(0,1) [Nor] 3.0
@~ Bitwise Operator Bitwise unary complement @~a 4.0
@& Bitwise Operator Bitwise AND a @& b 4.0
@^ Bitwise Operator Bitwise exclusive OR a @^ b 4.0
@| Bitwise Operator Bitwise inclusive OR a @| b 4.0
@<< Bitwise Operator Signed left shift a @<< b 4.0
@>> Bitwise Operator Signed right shift a @>> b 4.0
[%] Unit <Ratio, Fraction> Percentage = 0.01 [%] 4.0
[%%] Unit <Ratio, Fraction> Promil, Per mille = 0.001 [%%] 4.0
[Y] Unit <Metric Constant> Septillion / Yotta = 10^24 [Y] 4.0
[sept] Unit <Metric Constant> Septillion / Yotta = 10^24 [sept] 4.0
[Z] Unit <Metric Constant> Sextillion / Zetta = 10^21 [Z] 4.0
[sext] Unit <Metric Constant> Sextillion / Zetta = 10^21 [sext] 4.0
[E] Unit <Metric Constant> Quintillion / Exa = 10^18 [E] 4.0
[quint] Unit <Metric Constant> Quintillion / Exa = 10^18 [quint] 4.0
[P] Unit <Metric Constant> Quadrillion / Peta = 10^15 [P] 4.0
[quad] Unit <Metric Constant> Quadrillion / Peta = 10^15 [quad] 4.0
[T] Unit <Metric Constant> Trillion / Tera = 10^12 [T] 4.0
[tril] Unit <Metric Constant> Trillion / Tera = 10^12 [tril] 4.0
[G] Unit <Metric Constant> Billion / Giga = 10^9 [G] 4.0
[bil] Unit <Metric Constant> Billion / Giga = 10^9 [bil] 4.0
[M] Unit <Metric Constant> Million / Mega = 10^6 [M] 4.0
[mil] Unit <Metric Constant> Million / Mega = 10^6 [mil] 4.0
[k] Unit <Metric Constant> Thousand / Kilo = 10^3 [k] 4.0
[th] Unit <Metric Constant> Thousand / Kilo = 10^3 [th] 4.0
[hund] Unit <Metric Constant> Hundred / Hecto = 10^2 [hund] 4.0
[hecto] Unit <Metric Constant> Hundred / Hecto = 10^2 [hecto] 4.0
[ten] Unit <Metric Constant> Ten / Deca = 10 [ten] 4.0
[deca] Unit <Metric Constant> Ten / Deca = 10 [deca] 4.0
[deci] Unit <Metric Constant> Tenth / Deci = 0.1 [deci] 4.0
[centi] Unit <Metric Constant> Hundredth / Centi = 0.01 [centi] 4.0
[milli] Unit <Metric Constant> Thousandth / Milli = 0.001 [milli] 4.0
[mic] Unit <Metric Constant> Millionth / Micro = 10^-6 [mic] 4.0
[n] Unit <Metric Constant> Billionth / Nano = 10^-9 [n] 4.0
[p] Unit <Metric Constant> Trillionth / Pico = 10^-12 [p] 4.0
[f] Unit <Metric Constant> Quadrillionth / Femto = 10^-15 [f] 4.0
[a] Unit <Metric Constant> Quintillionth / Atoo = 10^-18 [a] 4.0
[z] Unit <Metric Constant> Sextillionth / Zepto = 10^-21 [z] 4.0
[y] Unit <Metric Constant> Septillionth / Yocto = 10^-24 [y] 4.0
[m] Unit <Unit of length> Metre / Meter (m=1) [m] 4.0
[km] Unit <Unit of length> Kilometre / Kilometer (m=1) [km] 4.0
[cm] Unit <Unit of length> Centimetre / Centimeter (m=1) [cm] 4.0
[mm] Unit <Unit of length> Millimetre / Millimeter (m=1) [mm] 4.0
[inch] Unit <Unit of length> Inch (m=1) [inch] 4.0
[yd] Unit <Unit of length> Yard (m=1) [yd] 4.0
[ft] Unit <Unit of length> Feet (m=1) [ft] 4.0
[mile] Unit <Unit of length> Mile (m=1) [mile] 4.0
[nmi] Unit <Unit of length> Nautical mile (m=1) [nmi] 4.0
[m2] Unit <Unit of area> Square metre / Square meter (m=1) [m2] 4.0
[cm2] Unit <Unit of area> Square centimetre / Square centimeter (m=1) [cm2] 4.0
[mm2] Unit <Unit of area> Square millimetre / Square millimeter (m=1) [mm2] 4.0
[are] Unit <Unit of area> Are (m=1) [are] 4.0
[ha] Unit <Unit of area> Hectare (m=1) [ha] 4.0
[acre] Unit <Unit of area> Acre (m=1) [acre] 4.0
[km2] Unit <Unit of area> Square kilometre / Square kilometer (m=1) [km2] 4.0
[mm3] Unit <Unit of volume> Cubic millimetre / Cubic millimeter (m=1) [mm3] 4.0
[cm3] Unit <Unit of volume> Cubic centimetre / Cubic centimeter (m=1) [cm3] 4.0
[m3] Unit <Unit of volume> Cubic metre / Cubic meter (m=1) [m3] 4.0
[km3] Unit <Unit of volume> Cubic kilometre / Cubic kilometer (m=1) [km3] 4.0
[ml] Unit <Unit of volume> Millilitre / Milliliter (m=1) [ml] 4.0
[l] Unit <Unit of volume> Litre / Liter (m=1) [l] 4.0
[gall] Unit <Unit of volume> Gallon (m=1) [gall] 4.0
[pint] Unit <Unit of volume> Pint (m=1) [pint] 4.0
[s] Unit <Unit of time> Second (s=1) [s] 4.0
[ms] Unit <Unit of time> Millisecond (s=1) [ms] 4.0
[min] Unit <Unit of time> Minute (s=1) [min] 4.0
[h] Unit <Unit of time> Hour (s=1) [h] 4.0
[day] Unit <Unit of time> Day (s=1) [day] 4.0
[week] Unit <Unit of time> Week (s=1) [week] 4.0
[yearj] Unit <Unit of time> Julian year = 365.25 days (s=1) [yearj] 4.0
[kg] Unit <Unit of mass> Kilogram (kg=1) [kg] 4.0
[gr] Unit <Unit of mass> Gram (kg=1) [gr] 4.0
[mg] Unit <Unit of mass> Milligram (kg=1) [mg] 4.0
[dag] Unit <Unit of mass> Decagram (kg=1) [dag] 4.0
[t] Unit <Unit of mass> Tonne (kg=1) [t] 4.0
[oz] Unit <Unit of mass> Ounce (kg=1) [oz] 4.0
[lb] Unit <Unit of mass> Pound (kg=1) [lb] 4.0
[b] Unit <Unit of information> Bit (bit=1) [b] 4.0
[kb] Unit <Unit of information> Kilobit (bit=1) [kb] 4.0
[Mb] Unit <Unit of information> Megabit (bit=1) [Mb] 4.0
[Gb] Unit <Unit of information> Gigabit (bit=1) [Gb] 4.0
[Tb] Unit <Unit of information> Terabit (bit=1) [Tb] 4.0
[Pb] Unit <Unit of information> Petabit (bit=1) [Pb] 4.0
[Eb] Unit <Unit of information> Exabit (bit=1) [Eb] 4.0
[Zb] Unit <Unit of information> Zettabit (bit=1) [Zb] 4.0
[Yb] Unit <Unit of information> Yottabit (bit=1) [Yb] 4.0
[B] Unit <Unit of information> Byte (bit=1) [B] 4.0
[kB] Unit <Unit of information> Kilobyte (bit=1) [kB] 4.0
[MB] Unit <Unit of information> Megabyte (bit=1) [MB] 4.0
[GB] Unit <Unit of information> Gigabyte (bit=1) [GB] 4.0
[TB] Unit <Unit of information> Terabyte (bit=1) [TB] 4.0
[PB] Unit <Unit of information> Petabyte (bit=1) [PB] 4.0
[EB] Unit <Unit of information> Exabyte (bit=1) [EB] 4.0
[ZB] Unit <Unit of information> Zettabyte (bit=1) [ZB] 4.0
[YB] Unit <Unit of information> Yottabyte (bit=1) [YB] 4.0
[J] Unit <Unit of energy> Joule (m=1, kg=1, s=1) [J] 4.0
[eV] Unit <Unit of energy> Electronovolt (m=1, kg=1, s=1) [eV] 4.0
[keV] Unit <Unit of energy> Kiloelectronovolt (m=1, kg=1, s=1) [keV] 4.0
[MeV] Unit <Unit of energy> Megaelectronovolt (m=1, kg=1, s=1) [MeV] 4.0
[GeV] Unit <Unit of energy> Gigaelectronovolt (m=1, kg=1, s=1) [GeV] 4.0
[TeV] Unit <Unit of energy> Teraelectronovolt (m=1, kg=1, s=1) [TeV] 4.0
[m/s] Unit <Unit of speed> Metre / Meter per second (m=1, s=1) [m/s] 4.0
[km/h] Unit <Unit of speed> Kilometre / Kilometer per hour (m=1, s=1) [km/h] 4.0
[mi/h] Unit <Unit of speed> Mile per hour (m=1, s=1) [mi/h] 4.0
[knot] Unit <Unit of speed> Knot (m=1, s=1) [knot] 4.0
[m/s2] Unit <Unit of acceleration> Metre / Meter per square second (m=1, s=1) [m/s2] 4.0
[km/h2] Unit <Unit of acceleration> Kilometre / Kilometer per square hour (m=1, s=1) [km/h2] 4.0
[mi/h2] Unit <Unit of acceleration> Mile per square hour (m=1, s=1) [mi/h2] 4.0
[rad] Unit <Unit of angle> Radian (rad=1) [rad] 4.0
[deg] Unit <Unit of angle> Degree of arc (rad=1) [deg] 4.0
['] Unit <Unit of angle> Minute of arc (rad=1) ['] 4.0
[''] Unit <Unit of angle> Second of arc (rad=1) [''] 4.0
( Parser Symbol Left parentheses ( ... ) 1.0
) Parser Symbol Right parentheses ( ... ) 1.0
, Parser Symbol Comma (function parameters) (a1, ... ,an) 1.0
; Parser Symbol Semicolon (function parameters) (a1; ... ;an) 1.0
Parser Symbol Blank (whitespace) character 4.2
Number literals Number Regullar expression for decimal numbers Integer (since v.1.0): 1, -2; Decimal (since v.1.0): 0.2, -0.3, 1.2; Leading zero (since v.4.1): 001, -002.1; Scientific notation (since v.4.2): 1.2e-10, 1.2e+10, 2.3e10; No leading zero (since v.4.2): .2, -.212; Fractions (since v.4.2): 1_2, 2_1_3, 14_3; Other systems (since v.4.1): b1.111, b2.1001, b3.12021, b16.af12, h.af1, b.1001, o.0127 1.0

as od 2022-04-15

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