Argand diagram

(ˈɑːɡænd)

(Mathematics) maths a diagram in which complex numbers are represented by the points in the plane the coordinates of which are respectively the real and imaginary parts of the number, so that the number x + iy is represented by the point (x, y), or by the corresponding vector <x, y>. If the polar coordinates of (x, y) are (r, θ), r is the modulus and θ the argument of x + iy. See also amplitude⁵

[C19: named after Jean-Robert Argand (1768–1822), French mathematician]

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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References in periodicals archive

The plane on which imaginary (and complex) numbers are plotted is called an Argand Diagram or the Complex Plane.

Imagining complex numbers by generating, interpreting and representing them

In figure 1, The Argand diagram represents the complex numbers lying on a plane.

Certain indefinite integral associate to elliptic integral and complex argument

These points of intersection are, of course, none other than the three points plotted in the Argand diagram in Figure 1.

Adding some perspective to de Moivre's theorem: visualising the n-th roots of unity

Plot the corresponding points in the Argand diagram, and join the pairs of successive points to form a "spiral".

I: the ultimate mystery

With the Argand diagram we now have a way of picturing i, but what is i?

I am real?

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