File:TaylorExampleZ.jpg: Difference between revisions

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 == Summary ==
 {{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
 |Date=2008
@@ Line 11: / Line 58: @@
 |Notes=
 |Other versions=}}
 == Licensing/Copyright status ==
 {{PD-self}}