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The Complex Exponential

t
-5
Re(λ)
0
Im(λ)
3.1412
viewpoint
above
front
right
Argand plane
box and axes
z
(0.+3.1412)t
This Demonstration plots the complex exponential
z=
λt
. In the starting orientation ("above"),
t
increases from -5 on the left to 5 on the right. You are looking down on the Argand plane along the positive imaginary axisturn on the "Argand plane" checkbox to see it. (Note: animations may be jerky with this option on.) The real and imaginary parts of
λ
are controlled by the real and imaginary sliders. In the starting position,
λ=π
, and the plot is a left-handed helix. The
t
slider controls the position of the gray ball.
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