File:TaylorExampleZ.jpg

${\displaystyle f=1/z}$

${\displaystyle \sum _{n=0}^{21}(1-z)^{n}}$ in the complex ${\displaystyle z}$-plane (right) shown with lines of the constant real part and those of constant imaginaty part. The following levels are shown:

${\displaystyle \Re (f)=3}$ (black)

${\displaystyle \Re (f)=2}$ (black)

${\displaystyle \Re (f)=1.8}$ (blue)

${\displaystyle \Re (f)=1.6}$ (blue)

${\displaystyle \Re (f)=1.4}$ (blue)

${\displaystyle \Re (f)=1.2}$ (blue)

${\displaystyle \Re (f)=1}$ (black)

${\displaystyle \Re (f)=0.8}$ (blue)

${\displaystyle \Re (f)=0.6}$ (blue)

${\displaystyle \Re (f)=0.4}$ (blue)

${\displaystyle \Re (f)=0.2}$ (blue)

${\displaystyle \Re (f)=0}$ (black)

${\displaystyle \Re (f)=-0.2}$ (red)

${\displaystyle \Re (f)=-0.4}$ (red)

${\displaystyle \Re (f)=-0.6}$ (red)

${\displaystyle \Re (f)=-0.8}$ (red)

${\displaystyle \Re (f)=-1}$ (black)

${\displaystyle \Re (f)=-1.2}$ (red)

${\displaystyle \Re (f)=-1.4}$ (red)

${\displaystyle \Re (f)=-1.6}$ (red)

${\displaystyle \Re (f)=-1.8}$ (red)

${\displaystyle \Re (f)=-2}$ (black)

${\displaystyle \Re (f)=-3}$ (black)

${\displaystyle \Im (f)=-3}$ (black)

${\displaystyle \Im (f)=-2}$ (black)

${\displaystyle \Im (f)=-1.8}$ (green)

${\displaystyle \Im (f)=-1.6}$ (green)

${\displaystyle \Im (f)=-1.4}$ (green)

${\displaystyle \Im (f)=-1.2}$ (green)

${\displaystyle \Im (f)=-1}$ (red)

${\displaystyle \Im (f)=-0.8}$ (green)

${\displaystyle \Im (f)=-0.6}$ (green)

${\displaystyle \Im (f)=-0.4}$ (green)

${\displaystyle \Im (f)=-0.2}$ (green)

${\displaystyle \Im (f)=0}$ (black)

${\displaystyle \Im (f)=0.2}$ (green)

${\displaystyle \Im (f)=0.4}$ (green)

${\displaystyle \Im (f)=0.6}$ (green)

${\displaystyle \Im (f)=0.8}$ (green)

${\displaystyle \Im (f)=1}$ (blue)

${\displaystyle \Im (f)=1.2}$ (green)

${\displaystyle \Im (f)=1.4}$ (green)

${\displaystyle \Im (f)=1.6}$ (green)

${\displaystyle \Im (f)=1.8}$ (green)

${\displaystyle \Im (f)=2}$ (blue)

${\displaystyle \Im (f)=3}$ (blue)

For compillation, this code needs also the graphical rootines

ContourPlot/code/ado.cin (function that makes header of the eps file)

ContourPlot/code/conto.cin (function which draws a level)

{{Image|TaylorExampleZ.jpg|right|350px|Add image caption here.}}

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