imported>Caesar Schinas |
|
| Line 1: |
Line 1: |
| == Summary == | | == Summary == |
| {{Image_Details|user
| | Importing file |
| |description = Test of approximation of slog with elementary function
| |
| :<math>\mathrm{fslog}(z)=\frac{\log(z-L)}{L}+\frac{\log(z-L^*)}{L^*}+\sum_{n=0}^{50}v_n z^n</math>.
| |
| Functions
| |
| <math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\exp(z))+1</math> (left) and
| |
| <math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\log(z))-1</math> (right) are shown in the complex <math>z</math>plane. Levels
| |
| :<math>|f|=\exp(-33)</math> (pink)
| |
| :<math>|f|=\exp(-32)</math> (black)
| |
| :<math>|f|=\exp(-30)</math> (green)
| |
| :<math>|f|=\exp(-28)</math> (black)
| |
| :<math>|f|=\exp(-26)</math> (black)
| |
| :<math>|f|=\exp(-24)</math> (black)
| |
| :<math>|f|=\exp(-22)</math> (black)
| |
| :<math>|f|=\exp(-20)</math> (red)
| |
| :<math>|f|=\exp(-18)</math> (black)
| |
| :<math>|f|=\exp(-16)</math> (black)
| |
| :<math>|f|=\exp(-14)</math> (black)
| |
| :<math>|f|=\exp(-12)</math> (black)
| |
| :<math>|f|=\exp(-10)</math> (red)
| |
| :<math>|f|=\exp(-8)</math> (black)
| |
| :<math>|f|=\exp(-6)</math> (black)
| |
| :<math>|f|=\exp(-4)</math> (black)
| |
| :<math>|f|=\exp(-2)</math> (black)
| |
| :<math>|f|=\exp(-1)</math> (black)
| |
| :<math>|f|=\exp(-0.8 </math> (red)
| |
| :<math>|f|=\exp(-0.6)</math> (red)
| |
| :<math>|f|=\exp(-0.4)</math> (red)
| |
| :<math>|f|=\exp(-0.2)</math> (red)
| |
| :<math>|f|=\exp(0)=1</math> (black)
| |
| :<math>|f|=\exp(0.2)</math> (blue)
| |
| :<math>|f|=\exp(0.4)</math> (blue)
| |
| :<math>|f|=\exp(0.6)</math> (blue)
| |
| :<math>|f|=\exp(0.8)</math> (blue)
| |
| :<math>|f|=\exp(1)</math> (black))
| |
| :<math>|f|=\exp(2)</math> (black))
| |
| :<math>|f|=\exp(3)</math> (black))
| |
| are plotted.
| |
| |author = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
| |
| |date-created = 2008
| |
| |pub-country =
| |
| |notes = The code generating the figure will be uploaded
| |
| |versions =
| |
| }}
| |
| | |
| == Licensing/Copyright status ==
| |
| {{CC|by-nd|3.0}}
| |
