File:SLOGtest50.jpg: Difference between revisions

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 {{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>.
+:<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> (laft) and
+Functions
-Functions <math>f=fslog(z)-fslog(log(z))-1</math> (right) are plotten in the complex <math>z</math>plane. Levels
+<math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\exp(z))+1</math> (left) and
-:<math>|f}=exp(-33)</math>  (pink)
+<math>f=\mathrm{fslog}(z)-\mathrm{fslog}(\log(z))-1</math> (right) are plotted in the complex <math>z</math>plane. Levels
-:<math>|f}=exp(-32)</math>  (black)
+:<math>|f|=\exp(-33)</math>  (pink)
-:<math>|f}=exp(-30)</math>  (green)
+:<math>|f|=\exp(-32)</math>  (black)
-:<math>|f}=exp(-28)</math>  (black)
+:<math>|f|=\exp(-30)</math>  (green)
-:<math>|f}=exp(-26)</math>  (black)
+:<math>|f|=\exp(-28)</math>  (black)
-:<math>|f}=exp(-24)</math>  (black)
+:<math>|f|=\exp(-26)</math>  (black)
-:<math>|f}=exp(-22)</math>  (black)
+:<math>|f|=\exp(-24)</math>  (black)
-:<math>|f}=exp(-20)</math>  (red)
+:<math>|f|=\exp(-22)</math>  (black)
-:<math>|f}=exp(-18)</math>  (black)
+:<math>|f|=\exp(-20)</math>  (red)
-:<math>|f}=exp(-16)</math>  (black)
+:<math>|f|=\exp(-18)</math>  (black)
-:<math>|f}=exp(-14)</math>  (black)
+:<math>|f|=\exp(-16)</math>  (black)
-:<math>|f}=exp(-12)</math>  (black)
+:<math>|f|=\exp(-14)</math>  (black)
-:<math>|f}=exp(-10)</math>  (red)
+:<math>|f|=\exp(-12)</math>  (black)
-:<math>|f}=exp(-8)</math> (black)
+:<math>|f|=\exp(-10)</math>  (red)
-:<math>|f}=exp(-6)</math> (black)
+:<math>|f|=\exp(-8)</math> (black)
-:<math>|f}=exp(-4)</math> (black)
+:<math>|f|=\exp(-6)</math> (black)
-:<math>|f}=exp(-2)</math> (black)
+:<math>|f|=\exp(-4)</math> (black)
-:<math>|f}=exp(-1)</math> (black)
+:<math>|f|=\exp(-2)</math> (black)
-:<math>|f}=exp(-0.8)</math>(red)
+:<math>|f|=\exp(-1)</math> (black)
-:<math>|f}=exp(-0.6)</math>(red)
+:<math>|f|=\exp(-0.8)</math>(red)
-:<math>|f}=exp(-0.4)</math>(red)
+:<math>|f|=\exp(-0.6)</math>(red)
-:<math>|f}=exp(-0.2)</math>(red)
+:<math>|f|=\exp(-0.4)</math>(red)
-:<math>|f}=exp(-0)</math>(black)
+:<math>|f|=\exp(-0.2)</math>(red)
-:<math>|f}=exp(0.2)</math>(blue)
+:<math>|f|=\exp(-0)</math>(black)
-:<math>|f}=exp(0.4)</math>(blue)
+:<math>|f|=\exp(0.2)</math>(blue)
-:<math>|f}=exp(0.6)</math>(blue)
+:<math>|f|=\exp(0.4)</math>(blue)
-:<math>|f}=exp(0.8)</math>(blue)
+:<math>|f|=\exp(0.6)</math>(blue)
-:<math>|f}=exp(1)</math>(black))
+:<math>|f|=\exp(0.8)</math>(blue)
-:<math>|f}=exp(2)</math>(black))
+:<math>|f|=\exp(1)</math>(black))
-are plotted in the complez <math>z</math>-plane
+:<math>|f|=\exp(2)</math>(black))
+are shown.
 |CZ username= Dmitrii Kouznetsov
 |Year created= 2008
 |Notes= The code generating the figure will be uploaded
 |Other versions=}}
 == Licensing/Copyright status ==
 {{CC-by-nd-3.0}}