All built in tokens
| Key word | Category | Description | Example | Since |
|---|---|---|---|---|
| Number | Decimal Number | Decimal number | 1, 1.5, -2.3 | 1.0 |
| Number | Decimal Number | Decimal number - scientific notation | 1.2e10, -2.4e-10, 2.3E+10 | 4.0 |
| + | Operator | Addition | a + b | 1.0 |
| - | Operator | Subtraction | a - b | 1.0 |
| * | Operator | Multiplication | a * b | 1.0 |
| / | Operator | Division | a / b | 1.0 |
| ^ | Operator | Exponentiation | a ^ b | 1.0 |
| ! | Operator | Factorial | n! | 1.0 |
| # | Operator | Modulo function | a # b | 1.0 |
| & | Boolean Operator | Logical conjunction (AND) | p & q | 1.0 |
| && | Boolean Operator | Logical conjunction (AND) | p && q | 1.0 |
| /\ | Boolean Operator | Logical conjunction (AND) | p /\ q | 1.0 |
| ~& | Boolean Operator | NAND - Sheffer stroke | p ~& q | 1.0 |
| ~&& | Boolean Operator | NAND - Sheffer stroke | p ~&& q | 1.0 |
| ~/\ | Boolean Operator | NAND - Sheffer stroke | p ~/\ q | 1.0 |
| | | Boolean Operator | Logical disjunction (OR) | p | q | 1.0 |
| || | Boolean Operator | Logical disjunction (OR) | p || q | 1.0 |
| \/ | Boolean Operator | Logical disjunction (OR) | p \/ q | 1.0 |
| ~| | Boolean Operator | Logical NOR | p ~| q | 1.0 |
| ~|| | Boolean Operator | Logical NOR | p ~|| q | 1.0 |
| ~\/ | Boolean Operator | Logical NOR | p ~\/ q | 1.0 |
| (+) | Boolean Operator | Exclusive or (XOR) | p (+) q | 1.0 |
| --> | Boolean Operator | Implication (IMP) | p --> q | 1.0 |
| <-- | Boolean Operator | Converse implication (CIMP) | p <-- q | 1.0 |
| -/> | Boolean Operator | Material nonimplication (NIMP) | p -/> q | 1.0 |
| </- | Boolean Operator | Converse nonimplication (CNIMP) | p </- q | 1.0 |
| <-> | Boolean Operator | Logical biconditional (EQV) | p <-> q | 1.0 |
| ~ | Boolean Operator | Negation | ~p | 1.0 |
| = | Binary Relation | Equality | a = b | 1.0 |
| == | Binary Relation | Equality | a == b | 1.0 |
| <> | 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 | a <= b | 1.0 |
| >= | 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 |
| tan | Unary Function | Trigonometric tangent function | tan(x) | 1.0 |
| tg | Unary Function | Trigonometric tangent function | tg(x) | 1.0 |
| ctan | Unary Function | Trigonometric cotangent function | ctan(x) | 1.0 |
| ctg | Unary Function | Trigonometric cotangent function | ctg(x) | 1.0 |
| cot | Unary Function | Trigonometric cotangent function | cot(x) | 1.0 |
| sec | Unary Function | Trigonometric secant function | sec(x) | 1.0 |
| cosec | Unary Function | Trigonometric cosecant function | cosec(x) | 1.0 |
| csc | Unary Function | Trigonometric cosecant function | csc(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 |
| atan | Unary Function | Inverse trigonometric tangent function | atan(x) | 1.0 |
| arctan | Unary Function | Inverse trigonometric tangent function | arctan(x) | 1.0 |
| atg | Unary Function | Inverse trigonometric tangent function | atg(x) | 1.0 |
| arctg | Unary Function | Inverse trigonometric tangent function | arctg(x) | 1.0 |
| actan | Unary Function | Inverse trigonometric cotangent function | actan(x) | 1.0 |
| arcctan | Unary Function | Inverse trigonometric cotangent function | arcctan(x) | 1.0 |
| actg | Unary Function | Inverse trigonometric cotangent function | actg(x) | 1.0 |
| arcctg | Unary Function | Inverse trigonometric cotangent function | arcctg(x) | 1.0 |
| acot | Unary Function | Inverse trigonometric cotangent function | acot(x) | 1.0 |
| arccot | Unary Function | Inverse trigonometric cotangent function | arccot(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 |
| 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 |
| tanh | Unary Function | Hyperbolic tangent function | tanh(x) | 1.0 |
| tgh | Unary Function | Hyperbolic tangent function | tgh(x) | 1.0 |
| ctanh | Unary Function | Hyperbolic cotangent function | ctanh(x) | 1.0 |
| coth | Unary Function | Hyperbolic cotangent function | coth(x) | 1.0 |
| ctgh | Unary Function | Hyperbolic cotangent function | ctgh(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 |
| atanh | Unary Function | Inverse hyperbolic tangent function | atanh(x) | 1.0 |
| arctanh | Unary Function | Inverse hyperbolic tangent function | arctanh(x) | 1.0 |
| atgh | Unary Function | Inverse hyperbolic tangent function | atgh(x) | 1.0 |
| arctgh | Unary Function | Inverse hyperbolic tangent function | arctgh(x) | 1.0 |
| actanh | Unary Function | Inverse hyperbolic cotangent function | actanh(x) | 1.0 |
| arcctanh | Unary Function | Inverse hyperbolic cotangent function | arcctanh(x) | 1.0 |
| acoth | Unary Function | Inverse hyperbolic cotangent function | acoth(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 |
| actgh | Unary Function | Inverse hyperbolic cotangent function | actgh(x) | 1.0 |
| arcctgh | Unary Function | Inverse hyperbolic cotangent function | arcctgh(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 |
| sinc | Unary Function | Sinc function (normalized) | sinc(x) | 1.0 |
| Sa | Unary Function | Sinc function (normalized) | Sa(x) | 1.0 |
| Sinc | Unary Function | Sinc function (unnormalized) | Sinc(x) | 1.0 |
| Bell | Unary Function | Bell number | Bell(x) | 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(n) | 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 |
| 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 | C(n,k) | 1.0 |
| Bern | Binary Function | Bernoulli numbers | Bern(n,k) | 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(m,s) | 3.0 |
| if | 3-args Function | If function ( if(con, if_true, if_false) ) | if(a=1, 2, 0) | 1.0 |
| chi | 3-args Function | Characteristic function for x in (a,b) - chi(x, a, b) | chi(x, a, b) | 1.0 |
| CHi | 3-args Function | Characteristic function for x in [a,b] - CHi(x, a, b) | CHi(x, a, b) | 1.0 |
| Chi | 3-args Function | Characteristic function for x in [a,b) - Chi(x, a, b) | Chi(x, a, b) | 1.0 |
| cHi | 3-args Function | Characteristic function for x in (a,b] - cHi(x, a, b) | cHi(x, a, b) | 1.0 |
| pUni | 3-args Function | Probability distribution function - Uniform continuous distribution U(a,b), usage example: 2 * pUni(x, 2, 10) | pUni(x, a, b) | 3.0 |
| cUni | 3-args Function | Cumulative distribution function - Uniform continuous distribution U(a,b), usage example: 2 * cUni(x, 2, 10) | cUni(x, a, b) | 3.0 |
| qUni | 3-args Function | Quantile function (inverse cumulative distribution function) - Uniform continuous distribution U(a,b), usage example: 2 * qUni(q, 2, 10) | qUni(q, a, b) | 3.0 |
| pNor | 3-args Function | Probability distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * pNor(x, 1, 2) | pNor(x, a, b) | 3.0 |
| cNor | 3-args Function | Cumulative distribution function - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * cNor(x, 1, 2) | cNor(x, a, b) | 3.0 |
| qNor | 3-args Function | Quantile function (inverse cumulative distribution function) - Normal distribution N(m,s) m - mean, s - stddev, usage example: 2 * qNor(q, 1, 2) | qNor(q, a, b) | 3.0 |
| iff | Variadic Function | If function ( iff(con_1, if_true_1_exp, ..., con_n, if_true_n_exp) ) | iff(x=1, 1; x=2, 2; x=3, 3) | 1.0 |
| min | Variadic Function | Minimum function: min(a,b,c,...) | min(2,3,1) | 1.0 |
| max | Variadic Function | Maximum function: max(a,b,c,...) | max(2,3,1) | 1.0 |
| ConFrac | Variadic Function | Continued fraction: ConFrac(a,b,c,...) | ConFrac(5,1,2,4) | 1.0 |
| ConPol | Variadic Function | Continued polynomial: ConPol(a,b,c,...) | ConPol(5,1,2,4) | 1.0 |
| gcd | Variadic Function | Greatest common divisor: gcd(a,b,c,...) | gcd(5,1,2,4) | 1.0 |
| lcm | Variadic Function | Least common multiple: lcm(a,b,c,...) | lcm(5,1,2,4) | 1.0 |
| add | Variadic Function | Summation operator add(a1,a2,a3,...,an) | add(5,1,2,4) | 2.4 |
| multi | Variadic Function | Multiplication multi(a1,a2,a3,...,an) | multi(5,1,2,4) | 2.4 |
| mean | Variadic Function | Mean / average value mean(a1,a2,a3,...,an) | mean(5,1,2,4) | 2.4 |
| var | Variadic Function | Bias-corrected sample variance var(a1,a2,a3,...,an) | var(5,1,2,4) | 2.4 |
| std | Variadic Function | Bias-corrected sample standard deviation std(a1,a2,a3,...,an) | std(5,1,2,4) | 2.4 |
| rList | Variadic Function | Random number from given list of numbers rList(a1,a2,a3,...,an) | rList(5,1,2,4) | 3.0 |
| sum | Calculus Operator | Summation operator (SIGMA) sum(i, from, to, f(i,...) <,BY>) | sum(i, 1, 10, i^2), sum(i, 1, 10, i^2, 0.5) | 1.0 |
| prod | Calculus Operator | Product operator (PI) prod(i, from, to, f(i,...) <,BY>) | prod(i, 1, 10, i^2), prod(i, 1, 10, i^2, 0.5) | 1.0 |
| int | Calculus Operator | Definite integral operator ( int(f(x,...), x, a, b) ) | inf(sin(x), x, 0, pi) | 1.0 |
| der | Calculus Operator | Derivative operator ( der(f(x,...), x) ) | der(sin(x), x) | 1.0 |
| der- | Calculus Operator | Left derivative operator ( der-(f(x,...), x) ) | der+(sin(x), x) | 1.0 |
| der+ | Calculus Operator | Right derivative operator ( der+(f(x,...), x) ) | der-(sin(x), x) | 1.0 |
| dern | Calculus Operator | N-th derivative operator ( dern(f(x,...), x) ) | dern(x^2, 2, x) | 1.0 |
| diff | Calculus Operator | Forward difference operator diff(f(x,...), x <,h>) | diff(sin(x), x), diff(f(x), x, 0.1) | 1.0 |
| difb | Calculus Operator | Backward difference operator difb(f(x,...), x <,h>) | difb(sin(x), x), difb(f(x), x, 0.1) | 1.0 |
| avg | Calculus Operator | Average operator avg(i, from, to, f(i,...) <,BY>) | avg(i, 1, 10, i^2), avg(i, 1, 10, i^2, 0.2) | 2.4 |
| vari | Calculus Operator | Bias-corrected sample variance operator vari(i, from, to, f(i,...) <,BY>) | vari(i, 1, 10, i^2), vari(i, 1, 10, i^2, 0.5) | 2.4 |
| stdi | Calculus Operator | Bias-corrected sample standard deviation operator stdi(i, from, to, f(i,...) <,BY>) | stdi(i, 1, 10, i^2), stdi(i, 1, 10, i^2, 0.01) | 2.4 |
| mini | Calculus Operator | Minimum value mini(i, from, to, f(i,...) <,BY>) | mini(i, 1, 10, i^2), mini(i, 1, 10, i^2, 0.3) | 2.4 |
| maxi | Calculus Operator | Maximum value maxi(i, from, to, f(i,...) <,BY>) | maxi(i, 1, 10, i^2), maxi(i, 1, 10, i^2, 0.4) | 2.4 |
| solve | Calculus Operator | f(x) = 0 equation solving, function root finding: solve( f(x,...), x, a, b ) | solve(cos(x), x, 0, pi) | 4.0 |
| pi | Constant Value | Pi, Archimedes' constant or Ludolph's number | 2*pi | 1.0 |
| e | Constant Value | Napier's constant, or Euler's number, base of Natural logarithm | e*3 | 1.0 |
| [gam] | Constant Value | Euler-Mascheroni constant | 2*[gam] | 1.0 |
| [phi] | Constant Value | Golden ratio | [phi]*3 | 1.0 |
| [PN] | Constant Value | Plastic constant | 2*[PN] | 1.0 |
| [B*] | Constant Value | Embree-Trefethen constant | [B*]*3 | 1.0 |
| [F'd] | Constant Value | Feigenbaum constant alfa | 2*[F'd] | 1.0 |
| [F'a] | Constant Value | Feigenbaum constant delta | [F'a]*3 | 1.0 |
| [C2] | Constant Value | Twin prime constant | 2*[C2] | 1.0 |
| [M1] | Constant Value | Meissel-Mertens constant | [M1]*3 | 1.0 |
| [B2] | Constant Value | Brun's constant for twin primes | 2*[B2] | 1.0 |
| [B4] | Constant Value | Brun's constant for prime quadruplets | [B4]*3 | 1.0 |
| [BN'L] | Constant Value | De Bruijn-Newman constant | 2*[BN'L] | 1.0 |
| [Kat] | Constant Value | Catalan's constant | [Kat]*3 | 1.0 |
| [K*] | Constant Value | Landau-Ramanujan constant | 2*[K*] | 1.0 |
| [K.] | Constant Value | Viswanath's constant | [K.]*3 | 1.0 |
| [B'L] | Constant Value | Legendre's constant | 2*[B'L] | 1.0 |
| [RS'm] | Constant Value | Ramanujan-Soldner constant | [RS'm]*3 | 1.0 |
| [EB'e] | Constant Value | Erdos-Borwein constant | 2*[EB'e] | 1.0 |
| [Bern] | Constant Value | Bernstein's constant | [Bern]*3 | 1.0 |
| [GKW'l] | Constant Value | Gauss-Kuzmin-Wirsing constant | 2*[GKW'l] | 1.0 |
| [HSM's] | Constant Value | Hafner-Sarnak-McCurley constant | [HSM's]*3 | 1.0 |
| [lm] | Constant Value | Golomb-Dickman constant | 2*[lm] | 1.0 |
| [Cah] | Constant Value | Cahen's constant | [Cah]*3 | 1.0 |
| [Ll] | Constant Value | Laplace limit | 2*[Ll] | 1.0 |
| [AG] | Constant Value | Alladi-Grinstead constant | [AG]*3 | 1.0 |
| [L*] | Constant Value | Lengyel's constant | 2*[L*] | 1.0 |
| [L.] | Constant Value | Levy's constant | [L.]*3 | 1.0 |
| [Dz3] | Constant Value | Apery's constant | 2*[Dz3] | 1.0 |
| [A3n] | Constant Value | Mills' constant | [A3n]*3 | 1.0 |
| [Bh] | Constant Value | Backhouse's constant | 2*[Bh] | 1.0 |
| [Pt] | Constant Value | Porter's constant | [Pt]*3 | 1.0 |
| [L2] | Constant Value | Lieb's square ice constant | 2*[L2] | 1.0 |
| [Nv] | Constant Value | Niven's constant | [Nv]*3 | 1.0 |
| [Ks] | Constant Value | Sierpinski's constant | 2*[Ks] | 1.0 |
| [Kh] | Constant Value | Khinchin's constant | [Kh]*3 | 1.0 |
| [FR] | Constant Value | Fransen-Robinson constant | 2*[FR] | 1.0 |
| [La] | Constant Value | Landau's constant | [La]*3 | 1.0 |
| [P2] | Constant Value | Parabolic constant | 2*[P2] | 1.0 |
| [Om] | Constant Value | Omega constant | [Om]*3 | 1.0 |
| [MRB] | Constant Value | MRB constant | 2*[MRB] | 1.0 |
| [li2] | Constant Value | li(2) - logarithmic integral function at x=2 | [li2]*3 | 2.3 |
| [EG] | Constant Value | Gompertz constant | 2*[EG] | 2.3 |
| [c] | Constant Value | Light speed in vacuum [m/s] (m=1, s=1) | [c]*3 | 4.0 |
| [G.] | Constant Value | Gravitational constant (m=1, kg=1, s=1)] | 2*[G.] | 4.0 |
| [g] | Constant Value | Gravitational acceleration on Earth [m/s^2] (m=1, s=1) | [g]*3 | 4.0 |
| [hP] | Constant Value | Planck constant (m=1, kg=1, s=1) | 2*[hP] | 4.0 |
| [h-] | Constant Value | Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)] | [h-]*3 | 4.0 |
| [lP] | Constant Value | Planck length [m] (m=1) | 2*[lP] | 4.0 |
| [mP] | Constant Value | Planck mass [kg] (kg=1) | [mP]*3 | 4.0 |
| [tP] | Constant Value | Planck time [s] (s=1) | 2*[tP] | 4.0 |
| [ly] | Constant Value | Light year [m] (m=1) | [ly]*3 | 4.0 |
| [au] | Constant Value | Astronomical unit [m] (m=1) | 2*[au] | 4.0 |
| [pc] | Constant Value | Parsec [m] (m=1) | [pc]*3 | 4.0 |
| [kpc] | Constant Value | Kiloparsec [m] (m=1) | 2*[kpc] | 4.0 |
| [Earth-R-eq] | Constant Value | Earth equatorial radius [m] (m=1) | [Earth-R-eq]*3 | 4.0 |
| [Earth-R-po] | Constant Value | Earth polar radius [m] (m=1) | 2*[Earth-R-po] | 4.0 |
| [Earth-R] | Constant Value | Earth mean radius (m=1) | [Earth-R]*3 | 4.0 |
| [Earth-M] | Constant Value | Earth mass [kg] (kg=1) | 2*[Earth-M] | 4.0 |
| [Earth-D] | Constant Value | Earth-Sun distance - semi major axis [m] (m=1) | [Earth-D]*3 | 4.0 |
| [Moon-R] | Constant Value | Moon mean radius [m] (m=1) | 2*[Moon-R] | 4.0 |
| [Moon-M] | Constant Value | Moon mass [kg] (kg=1) | [Moon-M]*3 | 4.0 |
| [Moon-D] | Constant Value | Moon-Earth distance - semi major axis [m] (m=1) | 2*[Moon-D] | 4.0 |
| [Solar-R] | Constant Value | Solar mean radius [m] (m=1) | [Solar-R]*3 | 4.0 |
| [Solar-M] | Constant Value | Solar mass [kg] (kg=1) | 2*[Solar-M] | 4.0 |
| [Mercury-R] | Constant Value | Mercury mean radius [m] (m=1) | [Mercury-R]*3 | 4.0 |
| [Mercury-M] | Constant Value | Mercury mass [kg] (kg=1) | 2*[Mercury-M] | 4.0 |
| [Mercury-D] | Constant Value | Mercury-Sun distance - semi major axis [m] (m=1) | [Mercury-D]*3 | 4.0 |
| [Venus-R] | Constant Value | Venus mean radius [m] (m=1) | 2*[Venus-R] | 4.0 |
| [Venus-M] | Constant Value | Venus mass [kg] (kg=1) | [Venus-M]*3 | 4.0 |
| [Venus-D] | Constant Value | Venus-Sun distance - semi major axis [m] (m=1) | 2*[Venus-D] | 4.0 |
| [Mars-R] | Constant Value | Mars mean radius [m] (m=1) | [Mars-R]*3 | 4.0 |
| [Mars-M] | Constant Value | Mars mass [kg] (kg=1) | 2*[Mars-M] | 4.0 |
| [Mars-D] | Constant Value | Mars-Sun distance - semi major axis [m] (m=1) | [Mars-D]*3 | 4.0 |
| [Jupiter-R] | Constant Value | Jupiter mean radius [m] (m=1) | 2*[Jupiter-R] | 4.0 |
| [Jupiter-M] | Constant Value | Jupiter mass [kg] (kg=1) | [Jupiter-M]*3 | 4.0 |
| [Jupiter-D] | Constant Value | Jupiter-Sun distance - semi major axis [m] (m=1) | 2*[Jupiter-D] | 4.0 |
| [Saturn-R] | Constant Value | Saturn mean radius [m] (m=1) | [Saturn-R]*3 | 4.0 |
| [Saturn-M] | Constant Value | Saturn mass [kg] (kg=1) | 2*[Saturn-M] | 4.0 |
| [Saturn-D] | Constant Value | Saturn-Sun distance - semi major axis [m] (m=1) | [Saturn-D]*3 | 4.0 |
| [Uranus-R] | Constant Value | Uranus mean radius [m] (m=1) | 2*[Uranus-R] | 4.0 |
| [Uranus-M] | Constant Value | Uranus mass [kg] (kg=1) | [Uranus-M]*3 | 4.0 |
| [Uranus-D] | Constant Value | Uranus-Sun distance - semi major axis [m] (m=1) | 2*[Uranus-D] | 4.0 |
| [Neptune-R] | Constant Value | Neptune mean radius [m] (m=1) | [Neptune-R]*3 | 4.0 |
| [Neptune-M] | Constant Value | Neptune mass [kg] (kg=1) | 2*[Neptune-M] | 4.0 |
| [Neptune-D] | Constant Value | Neptune-Sun distance - semi major axis [m] (m=1) | [Neptune-D]*3 | 4.0 |
| [Uni] | Random Variable | Random variable - Uniform continuous distribution U(0,1), usage example: 2*[Uni] | 2*[Uni] | 3.0 |
| [Int] | Random Variable | Random variable - random integer - usage example sin( 3*[Int] ) | [Int]*3 | 3.0 |
| [Int1] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^1, 10^1} - usage example sin( 3*[Int1] ) | 2*[Int1] | 3.0 |
| [Int2] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^2, 10^2} - usage example sin( 3*[Int2] ) | [Int2]*3 | 3.0 |
| [Int3] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^3, 10^3} - usage example sin( 3*[Int3] ) | 2*[Int3] | 3.0 |
| [Int4] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^4, 10^4} - usage example sin( 3*[Int4] ) | [Int4]*3 | 3.0 |
| [Int5] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^5, 10^5} - usage example sin( 3*[Int5] ) | 2*[Int5] | 3.0 |
| [Int6] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^6, 10^6} - usage example sin( 3*[Int6] ) | [Int6]*3 | 3.0 |
| [Int7] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^7, 10^7} - usage example sin( 3*[Int7] ) | 2*[Int7] | 3.0 |
| [Int8] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^8, 10^8} - usage example sin( 3*[Int8] ) | [Int8]*3 | 3.0 |
| [Int9] | Random Variable | Random variable - random integer - Uniform discrete distribution U{-10^9, 10^9} - usage example sin( 3*[Int9] ) | 2*[Int9] | 3.0 |
| [nat] | Random Variable | Random variable - random natural number including 0 - usage example sin( 3*[nat] ) | [nat]*3 | 3.0 |
| [nat1] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^1} - usage example sin( 3*[nat1] ) | 2*[nat1] | 3.0 |
| [nat2] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^2} - usage example sin( 3*[nat2] ) | [nat2]*3 | 3.0 |
| [nat3] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^3} - usage example sin( 3*[nat3] ) | 2*[nat3] | 3.0 |
| [nat4] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^4} - usage example sin( 3*[nat4] ) | [nat4]*3 | 3.0 |
| [nat5] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^5} - usage example sin( 3*[nat5] ) | 2*[nat5] | 3.0 |
| [nat6] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^6} - usage example sin( 3*[nat6] ) | [nat6]*3 | 3.0 |
| [nat7] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^7} - usage example sin( 3*[nat7] ) | 2*[nat7] | 3.0 |
| [nat8] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^8} - usage example sin( 3*[nat8] ) | [nat8]*3 | 3.0 |
| [nat9] | Random Variable | Random variable - random natural number including 0 - Uniform discrete distribution U{0, 10^9} - usage example sin( 3*[nat9] ) | 2*[nat9] | 3.0 |
| [Nat] | Random Variable | Random variable - random natural number - usage example sin( 3*[Nat] ) | [Nat]*3 | 3.0 |
| [Nat1] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^1} - usage example sin( 3*[Nat1] ) | 2*[Nat1] | 3.0 |
| [Nat2] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^2} - usage example sin( 3*[Nat2] ) | [Nat2]*3 | 3.0 |
| [Nat3] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^3} - usage example sin( 3*[Nat3] ) | 2*[Nat3] | 3.0 |
| [Nat4] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^4} - usage example sin( 3*[Nat4] ) | [Nat4]*3 | 3.0 |
| [Nat5] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^5} - usage example sin( 3*[Nat5] ) | 2*[Nat5] | 3.0 |
| [Nat6] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^6} - usage example sin( 3*[Nat6] ) | [Nat6]*3 | 3.0 |
| [Nat7] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^7} - usage example sin( 3*[Nat7] ) | 2*[Nat7] | 3.0 |
| [Nat8] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^8} - usage example sin( 3*[Nat8] ) | [Nat8]*3 | 3.0 |
| [Nat9] | Random Variable | Random variable - random natural number - Uniform discrete distribution U{1, 10^9} - usage example sin( 3*[Nat9] ) | 2*[Nat9] | 3.0 |
| [Nor] | Random Variable | Random variable - Normal distribution N(0,1) - usage example cos( 3*[Nor]+1 ) | [Nor]*3 | 3.0 |
| @~ | Bitwise Operator | Bitwise unary complement | @~10 | 4.0 |
| @& | Bitwise Operator | Bitwise AND | 10 @& 2 | 4.0 |
| @^ | Bitwise Operator | Bitwise exclusive OR | 10 @^ 2 | 4.0 |
| @| | Bitwise Operator | Bitwise inclusive OR | 10 @| 2 | 4.0 |
| @<< | Bitwise Operator | Signed left shift | 10 @<< 2 | 4.0 |
| @>> | Bitwise Operator | Signed right shift | 10 @>> 2 | 4.0 |
| [%] | Unit | <Ratio, Fraction> Percentage = 0.01 | 2*[%] | 4.0 |
| [%%] | Unit | <Ratio, Fraction> Promil, Per mille = 0.001 | [%%]*3 | 4.0 |
| [Y] | Unit | Septillion / Yotta = 10^24 | 2*[Y] | 4.0 |
| [sept] | Unit | Septillion / Yotta = 10^24 | [sept]*3 | 4.0 |
| [Z] | Unit | Sextillion / Zetta = 10^21 | 2*[Z] | 4.0 |
| [sext] | Unit | Sextillion / Zetta = 10^21 | [sext]*3 | 4.0 |
| [E] | Unit | Quintillion / Exa = 10^18 | 2*[E] | 4.0 |
| [quint] | Unit | Quintillion / Exa = 10^18 | [quint]*3 | 4.0 |
| [P] | Unit | Quadrillion / Peta = 10^15 | 2*[P] | 4.0 |
| [quad] | Unit | Quadrillion / Peta = 10^15 | [quad]*3 | 4.0 |
| [T] | Unit | Trillion / Tera = 10^12 | 2*[T] | 4.0 |
| [tril] | Unit | Trillion / Tera = 10^12 | [tril]*3 | 4.0 |
| [G] | Unit | Billion / Giga = 10^9 | 2*[G] | 4.0 |
| [bil] | Unit | Billion / Giga = 10^9 | [bil]*3 | 4.0 |
| [M] | Unit | Million / Mega = 10^6 | 2*[M] | 4.0 |
| [mil] | Unit | Million / Mega = 10^6 | [mil]*3 | 4.0 |
| [k] | Unit | Thousand / Kilo = 10^3 | 2*[k] | 4.0 |
| [th] | Unit | Thousand / Kilo = 10^3 | [th]*3 | 4.0 |
| [hecto] | Unit | Hundred / Hecto = 10^2 | 2*[hecto] | 4.0 |
| [hund] | Unit | Hundred / Hecto = 10^2 | [hund]*3 | 4.0 |
| [deca] | Unit | Ten / Deca = 10 | 2*[deca] | 4.0 |
| [ten] | Unit | Ten / Deca = 10 | [ten]*3 | 4.0 |
| [deci] | Unit | Tenth / Deci = 0.1 | 2*[deci] | 4.0 |
| [centi] | Unit | Hundredth / Centi = 0.01 | [centi]*3 | 4.0 |
| [milli] | Unit | Thousandth / Milli = 0.001 | 2*[milli] | 4.0 |
| [mic] | Unit | Millionth / Micro = 10^-6 | [mic]*3 | 4.0 |
| [n] | Unit | Billionth / Nano = 10^-9 | 2*[n] | 4.0 |
| [p] | Unit | Trillionth / Pico = 10^-12 | [p]*3 | 4.0 |
| [f] | Unit | Quadrillionth / Femto = 10^-15 | 2*[f] | 4.0 |
| [a] | Unit | Quintillionth / Atoo = 10^-18 | [a]*3 | 4.0 |
| [z] | Unit | Sextillionth / Zepto = 10^-21 | 2*[z] | 4.0 |
| [y] | Unit | Septillionth / Yocto = 10^-24 | [y]*3 | 4.0 |
| [m] | Unit | Metre / Meter (m=1) | 2*[m] | 4.0 |
| [km] | Unit | Kilometre / Kilometer (m=1) | [km]*3 | 4.0 |
| [cm] | Unit | Centimetre / Centimeter (m=1) | 2*[cm] | 4.0 |
| [mm] | Unit | Millimetre / Millimeter (m=1) | [mm]*3 | 4.0 |
| [inch] | Unit | Inch (m=1) | 2*[inch] | 4.0 |
| [yd] | Unit | Yard (m=1) | [yd]*3 | 4.0 |
| [ft] | Unit | Feet (m=1) | 2*[ft] | 4.0 |
| [mile] | Unit | Mile (m=1) | [mile]*3 | 4.0 |
| [nmi] | Unit | Nautical mile (m=1) | 2*[nmi] | 4.0 |
| [m2] | Unit | Square metre / Square meter (m=1) | [m2]*3 | 4.0 |
| [cm2] | Unit | Square centimetre / Square centimeter (m=1) | 2*[cm2] | 4.0 |
| [mm2] | Unit | Square millimetre / Square millimeter (m=1) | [mm2]*3 | 4.0 |
| [are] | Unit | Are (m=1) | 2*[are] | 4.0 |
| [ha] | Unit | Hectare (m=1) | [ha]*3 | 4.0 |
| [acre] | Unit | Acre (m=1) | 2*[acre] | 4.0 |
| [km2] | Unit | Square kilometre / Square kilometer (m=1) | [km2]*3 | 4.0 |
| [mm3] | Unit | Cubic millimetre / Cubic millimeter (m=1) | 2*[mm3] | 4.0 |
| [cm3] | Unit | Cubic centimetre / Cubic centimeter (m=1) | [cm3]*3 | 4.0 |
| [m3] | Unit | Cubic metre / Cubic meter (m=1) | 2*[m3] | 4.0 |
| [km3] | Unit | Cubic kilometre / Cubic kilometer (m=1) | [km3]*3 | 4.0 |
| [ml] | Unit | Millilitre / Milliliter (m=1) | 2*[ml] | 4.0 |
| [l] | Unit | Litre / Liter (m=1) | [l]*3 | 4.0 |
| [gall] | Unit | Gallon (m=1) | 2*[gall] | 4.0 |
| [pint] | Unit | Pint (m=1) | [pint]*3 | 4.0 |
| [s] | Unit | Second (s=1) | 2*[s] | 4.0 |
| [ms] | Unit | Millisecond (s=1) | [ms]*3 | 4.0 |
| [min] | Unit | Minute (s=1) | 2*[min] | 4.0 |
| [h] | Unit | Hour (s=1) | [h]*3 | 4.0 |
| [day] | Unit | Day (s=1) | 2*[day] | 4.0 |
| [week] | Unit | Week (s=1) | [week]*3 | 4.0 |
| [yearj] | Unit | Julian year = 365.25 days (s=1) | 2*[yearj] | 4.0 |
| [kg] | Unit | Kilogram (kg=1) | [kg]*3 | 4.0 |
| [gr] | Unit | Gram (kg=1) | 2*[gr] | 4.0 |
| [mg] | Unit | Milligram (kg=1) | [mg]*3 | 4.0 |
| [dag] | Unit | Decagram (kg=1) | 2*[dag] | 4.0 |
| [t] | Unit | Tonne (kg=1) | [t]*3 | 4.0 |
| [oz] | Unit | Ounce (kg=1) | 2*[oz] | 4.0 |
| [lb] | Unit | Pound (kg=1) | [lb]*3 | 4.0 |
| [b] | Unit | Bit (bit=1) | 2*[b] | 4.0 |
| [kb] | Unit | Kilobit (bit=1) | [kb]*3 | 4.0 |
| [Mb] | Unit | Megabit (bit=1) | 2*[Mb] | 4.0 |
| [Gb] | Unit | Gigabit (bit=1) | [Gb]*3 | 4.0 |
| [Tb] | Unit | Terabit (bit=1) | 2*[Tb] | 4.0 |
| [Pb] | Unit | Petabit (bit=1) | [Pb]*3 | 4.0 |
| [Eb] | Unit | Exabit (bit=1) | 2*[Eb] | 4.0 |
| [Zb] | Unit | Zettabit (bit=1) | [Zb]*3 | 4.0 |
| [Yb] | Unit | Yottabit (bit=1) | 2*[Yb] | 4.0 |
| [B] | Unit | Byte (bit=1) | [B]*3 | 4.0 |
| [kB] | Unit | Kilobyte (bit=1) | 2*[kB] | 4.0 |
| [MB] | Unit | Megabyte (bit=1) | [MB]*3 | 4.0 |
| [GB] | Unit | Gigabyte (bit=1) | 2*[GB] | 4.0 |
| [TB] | Unit | Terabyte (bit=1) | [TB]*3 | 4.0 |
| [PB] | Unit | Petabyte (bit=1) | 2*[PB] | 4.0 |
| [EB] | Unit | Exabyte (bit=1) | [EB]*3 | 4.0 |
| [ZB] | Unit | Zettabyte (bit=1) | 2*[ZB] | 4.0 |
| [YB] | Unit | Yottabyte (bit=1) | [YB]*3 | 4.0 |
| [J] | Unit | Joule (m=1, kg=1, s=1) | 2*[J] | 4.0 |
| [eV] | Unit | Electronovolt (m=1, kg=1, s=1) | [eV]*3 | 4.0 |
| [keV] | Unit | Kiloelectronovolt (m=1, kg=1, s=1) | 2*[keV] | 4.0 |
| [MeV] | Unit | Megaelectronovolt (m=1, kg=1, s=1) | [MeV]*3 | 4.0 |
| [GeV] | Unit | Gigaelectronovolt (m=1, kg=1, s=1) | 2*[GeV] | 4.0 |
| [TeV] | Unit | Teraelectronovolt (m=1, kg=1, s=1) | [TeV]*3 | 4.0 |
| [m/s] | Unit | Metre / Meter per second (m=1, s=1) | 2*[m/s] | 4.0 |
| [km/h] | Unit | Kilometre / Kilometer per hour (m=1, s=1) | [km/h]*3 | 4.0 |
| [mi/h] | Unit | Mile per hour (m=1, s=1) | 2*[mi/h] | 4.0 |
| [knot] | Unit | Knot (m=1, s=1) | [knot]*3 | 4.0 |
| [m/s2] | Unit | Metre / Meter per square second (m=1, s=1) | 2*[m/s2] | 4.0 |
| [km/h2] | Unit | Kilometre / Kilometer per square hour (m=1, s=1) | [km/h2]*3 | 4.0 |
| [mi/h2] | Unit | Mile per square hour (m=1, s=1) | 2*[mi/h2] | 4.0 |
| [rad] | Unit | Radian (rad=1) | [rad]*pi | 4.0 |
| [deg] | Unit | Degree of arc (rad=1) | 180*[deg] | 4.0 |
| ['] | Unit | Minute of arc (rad=1) | [']*3 | 4.0 |
| [''] | Unit | Second of arc (rad=1) | 2*[''] | 4.0 |
| ( | Parser Symbol | Left parentheses | (3+2)/4 | 1.0 |
| ) | Parser Symbol | Right parentheses | (3+2)/4 | 1.0 |
| , | Parser Symbol | Comma (function parameters) | min(2,3,1) | 1.0 |
| ; | Parser Symbol | Semicolon (function parameters) | min(2;3;1) | 1.0 |
