Complex Functions

Let i be an imaginary unit.

Let x , y be real numbers, z be a complex

COMPLEX(x , y) Complex number x + y i
RE(z) The real part of z, i.e., RE(x + y i)= x
IM(z) The imaginary part of z, i.e., IM(x + y i)= y
CONJ(z) The conjugate of z, i.e., CONJ(x + y i)= x - y i
ARG(z) The argument of z, i.e., arg z . The result depends on the angle option.
In case of angle radians, the result is greater than -π and not greater than π.
In case of angle degrees, the result is greater than -180° and not greater than 180°,
ABS(z) The absolute value of z, |z|
SQR(z) The square root of z, the argument of which is greater than that -π and not greater than π.
For example, SQR(-1)=i.
EXP(z) The exponential function.
LOG(z) The natural logarithm of z, i.e., the complex number with real part log|z|, imaginary part arg z, where the unit is radians and is greater than π and not greater than π

<Note> EXP(z) and LOG(z) are not affected by the angle option.