imported>Caesar Schinas |
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| == Summary == | | == Summary == |
| {{Image_Details|user
| | Importing file |
| |description = Approximation of function slog with elementary function
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| :<math>f=
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| </math><math>
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| \frac{\log(z-L)}{L}+
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| \frac{\log(z-L^*)}{L^*}+
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| \sum_{n=0}^{50} v_n (z-1)^n
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| </math>
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| in the compex <math>z</math> plane.
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| The following levels are shown:
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| :<math>\Re(f)=3</math> (black),
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| :<math>\Re(f)=2</math> (black),
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| :<math>\Re(f)=1</math> (black),
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| :<math>\Re(f)=0.8</math> (blue),
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| :<math>\Re(f)=0.6</math> (blue),
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| :<math>\Re(f)=0.4</math> (blue),
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| :<math>\Re(f)=0.2</math> (blue)
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| :<math>\Re(f)=0</math> (black),
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| :<math>\Re(f)=-0.2</math> (red),
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| :<math>\Re(f)=-0.4</math> (red),
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| :<math>\Re(f)=-0.6</math> (red),
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| :<math>\Re(f)=-0.8</math> (red),
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| :<math>\Re(f)=-1</math> (black),
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| :<math>\Re(f)=-2</math> (black)
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| and
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| :<math>\Im(f)=2</math> (blue)
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| :<math>\Im(f)=1.8</math> (green)
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| :<math>\Im(f)=1.6</math> (green)
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| :<math>\Im(f)=1.4</math> (green)
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| :<math>\Im(f)=1.3</math> (green)
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| :<math>\Im(f)=1</math> (blue)
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| :<math>\Im(f)=0.8</math> (green)
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| :<math>\Im(f)=0.6</math> (green)
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| :<math>\Im(f)=0.4</math> (green)
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| :<math>\Im(f)=0.2</math> (green)
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| :<math>\Im(f)=0</math> (black)
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| :<math>\Im(f)=-0.2</math> (green)
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| :<math>\Im(f)=-0.4</math> (green)
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| :<math>\Im(f)=-0.6</math> (green)
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| :<math>\Im(f)=-0.8</math> (green)
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| :<math>\Im(f)=-1</math> (red)
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| :<math>\Im(f)=-1.2</math> (green)
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| :<math>\Im(f)=-1.4</math> (green)
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| :<math>\Im(f)=-1.6</math> (green)
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| :<math>\Im(f)=-1.8</math> (green)
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| :<math>\Im(f)=-3</math> (red)
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| |author = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
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| |date-created = 2008
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| |pub-country =
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| |notes = See details at [[SLOGappro50.jpg/code]]
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| |versions =
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| }}
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| == Licensing/Copyright status ==
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| {{CC|by-nd|3.0}}
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