Info: (calc) Complex Numbers

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calc: Complex Numbers

 
 5.4 Complex Numbers
 ===================
 
 There are two supported formats for complex numbers: rectangular and
 polar.  The default format is rectangular, displayed in the form
 ‘(REAL,IMAG)’ where REAL is the real part and IMAG is the imaginary
 part, each of which may be any real number.  Rectangular complex numbers
 can also be displayed in ‘A+Bi’ notation; Complex Formats.
 
    Polar complex numbers are displayed in the form ‘(R;THETA)’ where R
 is the nonnegative magnitude and THETA is the argument or phase angle.
 Modes::); it is generally between -180 and +180 degrees or the
 equivalent range in radians.
 
    Complex numbers are entered in stages using incomplete objects.
 Incomplete Objects.
 
    Operations on rectangular complex numbers yield rectangular complex
 results, and similarly for polar complex numbers.  Where the two types
 are mixed, or where new complex numbers arise (as for the square root of
 a negative real), the current “Polar mode” is used to determine the
 type.  Polar Mode.
 
    A complex result in which the imaginary part is zero (or the phase
 angle is 0 or 180 degrees or ‘pi’ radians) is automatically converted to
 a real number.