File:Sqrt(exp)(z).jpg: Difference between revisions

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imported>Dmitrii Kouznetsov
({{Image notes ownworkpro |Description=Examples of function <math>f=\exp^c(z)</math> in the complex <math>z</math> plane for some real values of <math>c=\pm 1, \pm 0.9, \pm 0.5, \pm 0.1</math>. Levels <math>\Re(f) =</math>const and <math>\Im(f) =</math>const are shown. Pink lines indicate the cuts. |CZ username= Dmitrii Kouznetsov |Year created= 2008 |Notes= |Other versions=}})
 
imported>Dmitrii Kouznetsov
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for some real values of <math>c=\pm 1, \pm 0.9, \pm 0.5, \pm 0.1</math>.
for some real values of <math>c=\pm 1, \pm 0.9, \pm 0.5, \pm 0.1</math>.
Levels  
Levels  
<math>\Re(f) =</math>const and
<math>\Re(f) =-3,-2,-1,0,1,2,3,4,5,6,7,8,9</math>  and
<math>\Im(f) =</math>const are shown.
<math>\Im(f) =-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14</math> are shown with thick lines.
Red means negative values and blue indivates positive values of the real or imaginary part.
Also, levels <math>\Re(f) = 0.31813150520476413</math> and
<math>\Im(f) =1.3372357014306895</math>
are shown with thick green lines.
The thin lines indicate intermediate levels.
Pink lines indicate the cuts.
Pink lines indicate the cuts.
|CZ username= Dmitrii Kouznetsov
|CZ username= Dmitrii Kouznetsov
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|Notes=
|Notes=
|Other versions=}}
|Other versions=}}
{{CC-image|Dmitrii Kouznetsov}}
== Licensing/Copyright status ==
== Licensing/Copyright status ==
{{CC-by-nd-3.0}}
{{CC-by-nd-3.0}}

Revision as of 01:18, 29 October 2008

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