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How to plot the complex equation in 2D ...?

Simon Cadrin, autodidacte
Posted 11 years ago

enter image description here

Thank you for your cooperation.
POSTED BY: Simon Cadrin
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Folks take a note of the new M10.1 function ReIm. With it code becomes simpler:

ParametricPlot[ReIm[Sqrt[E^(-7 I t)] + E^(I t)], {t, -2, 5}, Exclusions -> None]

Simon Cadrin, I suggest reading about proper posting of code on this website. It is easier for those who help you to copy code from your post. Equations in images are strongly discouraged.

POSTED BY: Sam Carrettie

The trick to getting the vertical lines is to use Exclusions -> None as a plot option:

zr[t_] := Re[Sqrt[E^(-7 I t)] + E^(I t)]
zi[t_] := Im[Sqrt[E^(-7 I t)] + E^(I t)]
ParametricPlot[{zr[t], zi[t]}, {t, -2, 5}, MaxRecursion -> 10,  Exclusions -> None]

The trick to getting the vertical lines is to use Exclusions -> None as a plot option
POSTED BY: Eric Johnstone

a beautiful presentation ...
POSTED BY: Simon Cadrin

See attached notebook.

Attachments:
POSTED BY: Eric Johnstone

How to plot this new curve ? enter image description here
POSTED BY: Simon Cadrin
POSTED BY: S M Blinder 
ParametricPlot[{Re[Exp[I t]], Im[Exp[I t]]}, {t, 0, 2 Pi}]
POSTED BY: Kay Herbert
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