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

Posted 9 years ago Thank you for your cooperation.
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Posted 9 years ago
 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 9 years ago
 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] Posted 9 years ago
 a beautiful presentation ...
Posted 9 years ago
 See attached notebook. Attachments:
Posted 9 years ago
 How to plot this new curve ? Posted 9 years ago
 Try these 3D plots: Plot3D[Re[E^(x + I y)], {x, 0, 2 Pi}, {y, 0, 2 Pi}, PlotRange -> All] Plot3D[Im[E^(x + I y)], {x, 0, 2 Pi}, {y, 0, 2 Pi}, PlotRange -> All] 
Posted 9 years ago
 ParametricPlot[{Re[Exp[I t]], Im[Exp[I t]]}, {t, 0, 2 Pi}]