+

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

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)

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)

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)

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 , )