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 for ''complex number''
From The Free On-line Dictionary of Computing (30 December 2018) :

  complex number
      A number of the form x+iy where i is the square
     root of -1, and x and y are real numbers, known as the
     "real" and "imaginary" part.  Complex numbers can be plotted
     as points on a two-dimensional plane, known as an Argand
     diagram, where x and y are the Cartesian coordinates.
     An alternative, polar notation, expresses a complex number
     as (r e^it) where e is the base of natural logarithms, and r
     and t are real numbers, known as the magnitude and phase.  The
     two forms are related:
     	r e^it = r cos(t) + i r sin(t)
     	       = x + i y
     	x = r cos(t)
     	y = r sin(t)
     All solutions of any polynomial equation can be expressed as
     complex numbers.  This is the so-called Fundamental Theorem
     of Algebra, first proved by Cauchy.
     Complex numbers are useful in many fields of physics, such as
     electromagnetism because they are a useful way of representing
     a magnitude and phase as a single quantity.

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