complex numbers meaning

• [Computer]
  <mathematics> 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 

  where

   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.

• There is a brief discussion of two dimensional mechanics in terms of complex numbers.
• We derive the addition formulas for sine and cosine from the arithmetic of complex numbers.
• This diagram immediately suggests defining two quantities which characterize the complex number z.
• In the observing coordinate the complex function of complex number
• The mental analyzing in learning of complex number
• The hyperbolic complex number and spacetime spheroid
• Which makes every complex number
• How to : use operator overloading to create a complex number class
• Demonstration of complex number and its application about ptolemy theorem
• It provides nearly 400 functions for doubles and complex numbers

• "complex numbers" meaning in Chinese: 复数
• "complex numbers" meaning in Russian: Комплексные числа
• "complex numbers" meaning in French: nombres complexes (nombres abstraits)