## Complex

### abs function

Returns the absolute value of the argument.

abs(z)

#### Description

The `abs` function returns the absolute or numeric value of `z`, commonly written as |z|. `z` may be any numeric expression that evaluates to a real number or a complex number. abs(z) always returns a positive real value.

 Wikipedia MathWorld

### arg function

Returns the argument of the parameter.

arg(z)

#### Description

The `arg` function returns the argument or angle of `z`. `z` may be any numeric expression that evaluates to a real number or a complex number. arg(z) always returns a real number. The result may be in radians or degrees depending on the current settings. The angle is always between -π and π. If `z` is a real number, arg(z) is 0 for positive numbers and π for negative numbers. arg(0) is undefined.

 Wikipedia MathWorld

### conj function

Returns the conjugate of the argument.

conj(z)

#### Description

The `conj` function returns the conjugate of `z`. `z` may be any numeric expression that evaluates to a real number or a complex number. The function is defined as: conj(z) = re(z) - i*im(z).

 Wikipedia MathWorld

### re function

Returns the real part of the argument.

re(z)

#### Description

The `re` function returns the real part of `z`. `z` may be any numeric expression that evaluates to a real number or a complex number.

 Wikipedia MathWorld

### im function

Returns the imaginary part of the argument.

im(z)

#### Description

The `im` function returns the imaginary part of `z`. `z` may be any numeric expression that evaluates to a real number or a complex number.