Formula Detailed Overview

Operators:

+	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

Unary Functions:

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)

Binary Functions:

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)

Variadic Functions:

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)

Calculus Operators / Iterated Operators:

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 , )