complex plane

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complex plane

n.
A plane whose points have complex numbers as their coordinates.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

com′plex plane′



n.
a plane the points of which are complex numbers.
[1905–10]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
References in periodicals archive ?
Hence the horizontal plane contains the Re(x) ([equivalent to] G) and Im(x) ([equivalent to] H) axes, thus forming the Argand plane, whilst the vertical plane given by GA or GB represents the Cartesian plane for each surface.
With reference to Figures 3(d) and 4(d), when viewed from above, Surfaces A and B both share a common umbilical point located in the Argand plane at G = -1, H = 0.
The roots are represented in the Argand plane by points that lie equally pitched around a circle of unit radius.
This paper describes how a simple application of de Moivre's theorem may be used to not only find the roots of a quadratic equation with real or generally complex coefficients but also to pinpoint their location in the Argand plane. This approach is much simpler than the comprehensive analysis presented by Bardell (2012, 2014), but it does not make the full visual connection between the Cartesian plane and the Argand plane that Bardell's three dimensional surfaces illustrated so well.
In the three-dimensional surfaces that follow, the horizontal plane contains the Re(x) ([equivalent to] G) and Im(x) ([equivalent to] H) axes, thus forming the Argand plane, whilst the vertical axis represents either Re(y) ([equivalent to] A) or Im(y) ([equivalent to] B) depending on which surface is being investigated.
In the 3D surfaces that follow, the horizontal plane contains the Re(x) ([equivalent to] G) and Im(x) ([equivalent to] H) axes, thus forming the Argand plane, whilst the vertical axis represents either Re(y) ([equivalent to] A) or Im(y) ([equivalent to] B) depending on which surface is being investigated.