complex plane

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Related to Argand plane: complex plane

complex plane

[¦käm‚pleks ′plān]
(mathematics)
A plane whose points are assigned the real and imaginary parts of complex numbers for coordinates.
References in periodicals archive ?
Surfaces A and B still share a common umbilical point when viewed from above in the Argand plane, but this is now located at:
It is noted from Figure 14 that the positioning of the three complex roots no longer forms an isosceles triangle in the Argand plane.
The work presented here should help students and teachers alike gain a wider appreciation of cubic polynomials and assist in developing their ability to visualise such concepts as the arrangement of the roots in the three dimensional space framed by the Cartesian and Argand planes.
Each equation represents a three-dimensional surface (the actual classification of this, and the higher-order surfaces presented herein, is beyond the scope of this paper) in which the ordinate value A or B can be plotted over a grid of points in the Argand plane defined by the H and G axes.
In the three-dimensional surfaces that follow, the horizontal plane contains the Re(x) (= G) and Im(x) (= H) axes, thus forming the Argand plane, whilst the vertical axis represents either Re(y) (= A) or Im(y) (= B) depending on which surface is being investigated.
n] - 1 presented in the Cartesian x-y plane, and its roots, which are invariably presented in the complex Argand plane.
9537 It is observed that a general cubic will have three roots which when plotted in the Argand plane will form an isosceles triangle.
This paper has demonstrated 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.