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

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imported>Caesar Schinas
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== Summary ==
== Summary ==
{{Image_Details|user
Importing file
|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) =-3,-2,-1,0,1,2,3,4,5,6,7,8,9</math>  and
<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.
|author      = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
|date-created = 2008
|pub-country  =
|notes        = Figure is symmetric with respect to the real axis, <math>f(z^*)=f(z)^*</math>; so, the only upper half of the complex plane is shown.
|versions    =
}}
 
== Licensing/Copyright status ==
{{CC|by-nd|3.0}}

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