File:TaylorExampleZ.jpg: Difference between revisions

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imported>Dmitrii Kouznetsov
({{Image notes |Description=function <math>f=1/z</math> (left) and its truncated Taylor expansion <math>\sum_{n=1}^{20} (1-z)^n</math> in the complez <math>z</math>-plane (right). Levels |Author= Dmitrii Kouznetsov |Date=2008 |Source= TaylorExampleZ/code |Country first published in= Japan |Copyright holder=Dmitrii Kouznetsov |Notes= |Other versions=}})
 
imported>Dmitrii Kouznetsov
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== Summary ==
== Summary ==
{{Image notes
{{Image notes
|Description=function <math>f=1/z</math> (left) and its truncated Taylor expansion
|Description=function <math>f=1/z</math> (left) and its truncated Taylor expansion with 21 terms
<math>\sum_{n=1}^{20} (1-z)^n</math> in the complez <math>z</math>-plane
<math>\sum_{n=0}^{20} (1-z)^n</math> in the complex <math>z</math>-plane
(right). Levels
(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
|Author= Dmitrii Kouznetsov
|Date=2008
|Date=2008
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|Notes=
|Notes=
|Other versions=}}
|Other versions=}}
== Licensing/Copyright status ==
== Licensing/Copyright status ==
{{PD-self}}
{{PD-self}}

Revision as of 07:06, 19 December 2008

Summary

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Licensing/Copyright status

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To view a copy of the public domain dedication, visit http://creativecommons.org/licenses/publicdomain/.
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