File:SLOGappro50.jpg: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Dmitrii Kouznetsov
(== Summary == Importing file)
Tag: Server-side upload
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
== Summary ==
== Summary ==
{{Image notes ownworkpro
Importing file
|Description=Approximation of function slog with elementary function
:<math>f=
</math><math>
\frac{\log(z-L)}{L}+
\frac{\log(z-L^*)}{L^*}+
\sum_{n=0}^{50} v_n (z-1)^n
</math>
in the compex <math>z</math> plane.
The following levels are shown:
:<math>\Re(f)=3</math> (black),
:<math>\Re(f)=2</math> (black),
:<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)=-2</math> (black)
and
:<math>\Im(f)=2</math> (blue)
:<math>\Im(f)=1.8</math> (green)
:<math>\Im(f)=1.6</math> (green)
:<math>\Im(f)=1.4</math> (green)
:<math>\Im(f)=1.3</math> (green)
:<math>\Im(f)=1</math> (blue)
:<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> (red)
:<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)=-3</math> (red)
|CZ username= Dmitrii Kouznetsov
|Year created= 2008
|Notes= See details at [[SLOGappro50.jpg/code]]
|Other versions=}}
 
== Licensing/Copyright status ==
{{CC-by-nd-3.0}}

Latest revision as of 19:51, 11 March 2022

Summary

Importing file

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current19:51, 11 March 2022Thumbnail for version as of 19:51, 11 March 20221,134 × 947 (216 KB)Maintenance script (talk | contribs)== Summary == Importing file

Metadata