File:SLOGtailor16.jpg: Difference between revisions
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imported>Dmitrii Kouznetsov ({{Image notes ownworkpro |Description= Qpproximation of superlogatithm with polynomial of 16th power from the Tailor expansion. : <math>\mathrm{slog}(z)=\sum_{n=0}^\infty c_n (z-1)^n</math>. The coefficients can be approximated with :<math>c_{ 0}�pprox -1.00000000000000 0.00000000000000 i</math> :<math>c_{ 1}�pprox 0.91594605649953 0.00000000000000 i</math> :<math>c_{ 2}�pprox -0.20861842957759 0.00000000000000 i</math> :<math>c_{ 3}�pprox -0.05450400630209 0.00000000000000 i</math> :<m...) |
imported>Dmitrii Kouznetsov m (→Summary: oops... The coefficients are real.) |
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: <math>\mathrm{slog}(z)=\sum_{n=0}^\infty c_n (z-1)^n</math>. | : <math>\mathrm{slog}(z)=\sum_{n=0}^\infty c_n (z-1)^n</math>. | ||
The coefficients can be approximated with | The coefficients can be approximated with | ||
:<math>c_{ 0} | :<math>c_{ 0}\approx -1.00000000000000 </math> | ||
:<math>c_{ 1} | :<math>c_{ 1}\approx 0.91594605649953 </math> | ||
:<math>c_{ 2} | :<math>c_{ 2}\approx -0.20861842957759 </math> | ||
:<math>c_{ 3} | :<math>c_{ 3}\approx -0.05450400630209 </math> | ||
:<math>c_{ 4} | :<math>c_{ 4}\approx 0.07134941925273 </math> | ||
:<math>c_{ 5} | :<math>c_{ 5}\approx -0.02004387374438 </math> | ||
:<math>c_{ 6} | :<math>c_{ 6}\approx -0.01101258023037 </math> | ||
:<math>c_{ 7} | :<math>c_{ 7}\approx 0.01207268318645 </math> | ||
:<math>c_{ 8} | :<math>c_{ 8}\approx -0.00272922880760 </math> | ||
:<math>c_{ 9} | :<math>c_{ 9}\approx -0.00269905319156 </math> | ||
:<math>c_{10} | :<math>c_{10}\approx 0.00243941500632 </math> | ||
:<math>c_{11} | :<math>c_{11}\approx -0.00036220360858</math> | ||
:<math>c_{12} | :<math>c_{12}\approx -0.00070125921262</math> | ||
:<math>c_{13} | :<math>c_{13}\approx 0.00052782155380 </math> | ||
:<math>c_{14} | :<math>c_{14}\approx -0.00002987943551</math> | ||
:<math>c_{15} | :<math>c_{15}\approx -0.00018614540434</math> | ||
:<math>c_{16} | :<math>c_{16}\approx 0.00011722843042 </math> | ||
LInes of the constant real part and the constant imahinary part are drawn. | |||
|CZ username= Dmitrii Kouznetsov | |CZ username= Dmitrii Kouznetsov | ||
|Year created= 2008 | |Year created= 2008 | ||
|Notes= | |Notes=I shall upload the code. Everyone can reproduce it. | ||
|Other versions=}} | |Other versions=}} | ||
== Licensing/Copyright status == | == Licensing/Copyright status == | ||
{{CC-by-nd-3.0}} | {{CC-by-nd-3.0}} | ||
Revision as of 09:35, 18 December 2008
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