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Argand diagram

 
   
A way of representing a complex number in which the complex number z = x + iy is represented by the point (x, y). In this context, the x axis is called the real axis, and the y axis the imaginary axis (see the diagram). If polar coordinates (r, θ) are used, corresponding to the polar form of z, then r is called the modulus and θ the argument of z. The addition of complex numbers is represented by adding vectors in the Argand diagram, and multiplication by i causes rotation through 90°. Named after Jean Robert Argand (1768-1822).

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