+  * : /
() [] {}

Plus, minus, multiplication, division, grouping symbols.
Multiplication sign * is not necessary and can be omitted. Examples:
0.5x^33x or pixeln(2cos[LN2x]) or Pipi/(Exe)
Using different types of grouping symbols (parentheses, brackets, braces) for clarity of nested expressions is optional, but not necessary.

base^exponent
or
p(base,exponent)

Exponentiation base^{exponent}, for example p(x,2) or x^2 .
Instead of ^ you can also type a single quote ' or a double quote ".
If you don't use p(), make sure that bases or exponents composed by subexpressions such as additions, subtractions, multiplications or divisions, are clearly marked off by being completely enclosed into parentheses, brackets or braces.
Example: (x/3)^(2x) .
Instead of x"3, of course, you can also enter xxx.
Or, instead of tan(x)'2 you may type tan(x)tan(x).

root(arg,index)

"indexth" root of argument.
Example: root(x,6) sixth root of x, root[tan(x),4] fourth root of the tangent of x.

sqrt()

Square root of argument (number or expression inside the parentheses). Equivalent to root(argument,2)

cbrt()

Cube root of argument. Equivalent to root(argument,3)

logn(arg,base)

Logarithm basebase of arg.

ln()

Natural logarithm of argument
(baseE logarithm of argument where E is Euler's constant)

lg()

Logarithm base10 of argument, equivalent to logn(argument,10).

lb()

Logarithm base2 of argument.

exp()

Exponential Function E to the power of argument, equivalent to E^argument

sin()

Sine of argument

cos()

Cosine

tan()

Tangent

cot()

Cotangent

sec()

Secant of argument, equiv. to 1/cos(arg).

csc()

Cosecant, equiv. to 1/sin(arg).

asin()

Arc sine

acos()

Arc cosine

atan()

Arc tangent

acot()

Arc cotangent

asec()

Arc secant, inverse secant.

acsc()

Arc cosecant, inverse cosecant.

sinh()

Hyperbolic sine, Sinus hyperbolicus

cosh()

Hyperbolic cosine, Cosinus hyperbolicus

tanh()

Hyperbolic tangent, Tangens hyperbolicus

coth()

Hyperbolic cotangent, Cotangens hyperbolicus

sech()

Hyperbolic secant, Secans hyperbolicus.

csch()

Hyperbolic cosecant, Cosecans hyperbolicus.

asinh()

Area sine, Area sinus hyperbolicus, inverse sinh().

acosh()

Area cosine, Area cosinus hyperbolicus, inverse cosh().

atanh()

Area tangent, Area tangens hyperbolicus, inverse tanh().

acoth()

Area cotangent, Area cotangens hyperbolicus, inverse cotanh().

asech()

Area secant, Area secans hyperbolicus, inverse sech().

acsch()

Area cosecant, Area cosecans hyperbolicus, inverse csch().

gaussd(x,mean,sigma)

Gaussian distribution ("Bell Curve").
gaussd(x,0,1), by the way, is the special case "Normal distribution density with meanvalue=0, standarddeviation=1".

min(arg1,arg2)

Returns the lesser of the two arguments

max(arg1,arg2)

Returns the greater of the two arguments

round()

Rounds argument up or down to the closest integer

floor()

Rounds arg down.

ceil()

Rounds arg up.

abs() or  

Absolute value of argument.
Example: 2abs(sin[x]) or alternatively 2sin(x) .

sgn()

Sign Function.
sgn(x) =

1 for x > 0 
0 for x = 0 
1 for x < 0 
