File:SLOGtest50.jpg: Difference between revisions
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imported>Dmitrii Kouznetsov ({{Image notes ownworkpro |Description=Test of approximation of slog with elementary function :<math>fslog(z)=\log(z-L)/L+\log(z-L^*)/L^*+\sum_{n=1}^{50}v_n z^n</math>. Functions <math>f=fslog(z)-fslog(exp(z))+1</math> (laft) and Functions <math>f=fslog(z)-fslog(log(z))-1</math> (right) are plotten 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}=...) |
imported>Dmitrii Kouznetsov |
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{{Image notes ownworkpro | {{Image notes ownworkpro | ||
|Description=Test of approximation of slog with elementary function | |Description=Test of approximation of slog with elementary function | ||
:<math>fslog(z)=\log(z-L) | :<math>\mathrm{fslog}(z)=\frac{\log(z-L)}{L}+\frac{\log(z-L^*)}{L^*}+\sum_{n=1}^{50}v_n z^n</math>. | ||
Functions <math>f=fslog(z)-fslog(exp(z))+1</math> ( | Functions | ||
<math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\exp(z))+1</math> (left) and | |||
:<math>|f | <math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\log(z))-1</math> (right) are plotted in the complex <math>z</math>plane. Levels | ||
:<math>|f | :<math>|f|=\exp(-33)</math> (pink) | ||
:<math>|f | :<math>|f|=\exp(-32)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-30)</math> (green) | ||
:<math>|f | :<math>|f|=\exp(-28)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-26)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-24)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-22)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-20)</math> (red) | ||
:<math>|f | :<math>|f|=\exp(-18)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-16)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-14)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-12)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-10)</math> (red) | ||
:<math>|f | :<math>|f|=\exp(-8)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-6)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-4)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-2)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-1)</math> (black) | ||
:<math>|f | :<math>|f|=\exp(-0.8)</math>(red) | ||
:<math>|f | :<math>|f|=\exp(-0.6)</math>(red) | ||
:<math>|f | :<math>|f|=\exp(-0.4)</math>(red) | ||
:<math>|f | :<math>|f|=\exp(-0.2)</math>(red) | ||
:<math>|f | :<math>|f|=\exp(-0)</math>(black) | ||
:<math>|f | :<math>|f|=\exp(0.2)</math>(blue) | ||
:<math>|f | :<math>|f|=\exp(0.4)</math>(blue) | ||
:<math>|f | :<math>|f|=\exp(0.6)</math>(blue) | ||
:<math>|f | :<math>|f|=\exp(0.8)</math>(blue) | ||
:<math>|f | :<math>|f|=\exp(1)</math>(black)) | ||
are | :<math>|f|=\exp(2)</math>(black)) | ||
are shown. | |||
|CZ username= Dmitrii Kouznetsov | |CZ username= Dmitrii Kouznetsov | ||
|Year created= 2008 | |Year created= 2008 | ||
|Notes= The code generating the figure will be uploaded | |Notes= The code generating the figure will be uploaded | ||
|Other versions=}} | |Other versions=}} | ||
== Licensing/Copyright status == | == Licensing/Copyright status == | ||
{{CC-by-nd-3.0}} | {{CC-by-nd-3.0}} |
Revision as of 22:02, 18 December 2008
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