Elementary Functions

abs, sign         absolute value, arithmetic sign
sqrt              square root
floor, ceil       round down, round up to integer
conj              complex conjugation
pi                the constant 3.14159265358979323846...
sin, cos, tan     trigonometric functions (of radians)
asin, acos, atan  inverse trigonometric functions
sinh, cosh, tanh, sech, csch  hyperbolic functions
asinh, acosh, atanh  inverse hyperbolic functions
exp, log, log10   exponential and logarithmic functions
min, max          find minimum, maximum of array
sum, avg          find sum, average of array
random            random number generator

The atan function takes one or two arguments; atan(t) returns a value in the range (-p/2,p/2]), while atan(y,x) returns the counterclockwise angle from (1,0) to (x,y) in the range (-p,p]).

The abs function allows any number of arguments; for example, abs(x,y,z) is the same as sqrt(x^2+y^2+z^2). The sign satisfies sign(0)==1 and abs(z)*sign(z)==z always (even when z is complex).

The min and max functions return a scalar result when presented with a single argument, but the pointwise minimum or maximum when presented with multiple arguments.

The min, max, sum, and single argument abs functions return integer results when presented integer arguments; the other functions will promote their arguments to a real type and return reals.