File:TaylorExampleZ.jpg: Difference between revisions

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== Summary ==
== Summary ==
{{Image_Details
Importing file
|description  = function <math>f=1/z</math> (left) and its truncated Taylor expansion with 22 terms
<math>\sum_{n=0}^{21} (1-z)^n</math> in the complex <math>z</math>-plane
(right) shown with lines of the constant real part and those of constant imaginaty part.
The following levels are shown:
:<math>\Re(f)=3</math> (black)
:<math>\Re(f)=2</math> (black)
:<math>\Re(f)=1.8</math> (blue)
:<math>\Re(f)=1.6</math> (blue)
:<math>\Re(f)=1.4</math> (blue)
:<math>\Re(f)=1.2</math> (blue)
:<math>\Re(f)=1</math> (black)
:<math>\Re(f)=0.8</math> (blue)
:<math>\Re(f)=0.6</math> (blue)
:<math>\Re(f)=0.4</math> (blue)
:<math>\Re(f)=0.2</math> (blue)
:<math>\Re(f)=0</math> (black)
:<math>\Re(f)=-0.2</math> (red)
:<math>\Re(f)=-0.4</math> (red)
:<math>\Re(f)=-0.6</math> (red)
:<math>\Re(f)=-0.8</math> (red)
:<math>\Re(f)=-1</math> (black)
:<math>\Re(f)=-1.2</math> (red)
:<math>\Re(f)=-1.4</math> (red)
:<math>\Re(f)=-1.6</math> (red)
:<math>\Re(f)=-1.8</math> (red)
:<math>\Re(f)=-2</math> (black)
:<math>\Re(f)=-3</math> (black)
:<math>\Im(f)=-3</math> (black)
:<math>\Im(f)=-2</math> (black)
:<math>\Im(f)=-1.8</math> (green)
:<math>\Im(f)=-1.6</math> (green)
:<math>\Im(f)=-1.4</math> (green)
:<math>\Im(f)=-1.2</math> (green)
:<math>\Im(f)=-1</math> (red)
:<math>\Im(f)=-0.8</math> (green)
:<math>\Im(f)=-0.6</math> (green)
:<math>\Im(f)=-0.4</math> (green)
:<math>\Im(f)=-0.2</math> (green)
:<math>\Im(f)=0</math> (black)
:<math>\Im(f)=0.2</math> (green)
:<math>\Im(f)=0.4</math> (green)
:<math>\Im(f)=0.6</math> (green)
:<math>\Im(f)=0.8</math> (green)
:<math>\Im(f)=1</math> (blue)
:<math>\Im(f)=1.2</math> (green)
:<math>\Im(f)=1.4</math> (green)
:<math>\Im(f)=1.6</math> (green)
:<math>\Im(f)=1.8</math> (green)
:<math>\Im(f)=2</math> (blue)
:<math>\Im(f)=3</math> (blue)
|author      = Dmitrii Kouznetsov
|copyright    = Dmitrii Kouznetsov
|source      = [[TaylorExampleZ/code]]
: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)
|date-created = 2008
|pub-country  = Japan
|notes        =
|versions    =
}}
 
== Licensing/Copyright status ==
{{PD-self}}

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