Returns the sign of the argument.
The sign
function, which is also called signum, returns the sign of z
.
z
may be any numeric expression that evaluates to a real number or a complex number.
When z
is a real number, sign(z) returns 1 for z
>0 and -1 for z
<0.
sign(z) returns 0 for z
=0.
When z
evaluates to a complex number, sign(z) returns z/abs(z).
The unit step function.
u(z) is commonly known as the unit step function.
z
may be any numeric expression that evaluates to a real number.
The function is undefined when z
has an imaginary part.
u(z) returns 1 for z
≥0 and 0 for z
<0.
Finds and returns the minimum of the values passed as arguments.
The min
function returns the minimum value of its arguments.
min
can take any number of arguments not less than 2.
The arguments may be any numeric expressions
that evaluate to real numbers or complex numbers.
If the arguments are complex numbers, the function returns min(re(A), re(B), ...) + min(im(A), im(B), ...)i.
Finds and returns the maximum of the values passed as arguments.
The max
function returns the maximum value of its arguments.
max
can take any number of arguments not less than 2.
The arguments may be any numeric expressions
that evaluate to real numbers or complex numbers.
If the arguments are complex numbers, the function returns max(re(A), re(B), ...) + max(im(A), im(B), ...)i.
Returns the second argument if it is in the range between the first argument and the third argument.
The range
function returns z
,
if z
is greater than A
and less than B
.
If z
< A
then A
is returned.
If z
> B
then B
is returned.
The arguments may be any numeric expressions
that evaluate to real numbers or complex numbers.
The function has the same effect as max(A, min(z, B)).
Evaluates one or more conditions and returns a different result based on them.
The if
function evaluates cond1
and if it is different from 0 then f1
is evaluated and returned.
Else cond2
is evaluated and if it is different from 0 then f2
is returned and so forth.
If none of the conditions are true fz
is returned.
fz
is optional and if not specified if
returns an error if none of the conditions are true.
The arguments may be any numeric expressions
that evaluate to real numbers or complex numbers.