File:Sqrt(exp)(z).jpg: Difference between revisions
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== Summary == | == Summary == | ||
{{ | {{Image_Details|user | ||
| | |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>. | for some real values of <math>c=\pm 1, \pm 0.9, \pm 0.5, \pm 0.1</math>. | ||
Levels | Levels | ||
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The thin lines indicate intermediate levels. | The thin lines indicate intermediate levels. | ||
Pink lines indicate the cuts. | 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 == | == Licensing/Copyright status == | ||
{{CC|by-nd|3.0}} | {{CC|by-nd|3.0}} |
Revision as of 02:20, 22 June 2009
Summary
Title / Description
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Examples of function in the complex plane
for some real values of . Levels and are shown with thick lines. Red means negative values and blue indivates positive values of the real or imaginary part. Also, levels and are shown with thick green lines. The thin lines indicate intermediate levels. Pink lines indicate the cuts. |
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Citizendium author & Copyright holder
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Copyright © Dmitrii Kouznetsov. See below for licence/re-use information. |
Date created
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2008 |
Country of first publication
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Notes
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Figure is symmetric with respect to the real axis, ; so, the only upper half of the complex plane is shown. |
Other versions
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