Image:Exponential Function (AbsReal Part at Infinity) Density.png

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Description

Diagram of the absolute value real part of exponetial function in the complex plane, as the operand approaches infinity. The plot is given by:

z=\bigg|\operatorname{Re} \left (\exp \left( \frac{1}{x + i y} \right)\right)\bigg|

The colour code is based on the arctan function and therefore emphasises changes at small values more than changes at large values. Green is smallest, then blue, red and yellow (largest).
Source

Own drawing, Plotted in MuPAD
Date

20/04/2007
Author

Inductiveload
Permission
(Reusing this image)
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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[edit] MuPAD Code

f := abs(Re(exp(1/(x+I*y)))):

  ylimit := 1:
  xlimit := 1:
  mesh := 1600:
  
  hsv := (x, y, z) -> RGB::fromHSV([120+190*arctan(z), 1, 1]):
  
  cplot := plot::Density(f, 
                         x = -xlimit..xlimit, 
                         y = -ylimit..ylimit, 
                         AntiAliased = TRUE,
                         Mesh = [mesh, mesh],
                         AxesTitleFont = ["Courier New", Bold, 14],
                         TicksLabelFont = ["Arial", 10],
                         FillColorFunction = hsv,
                         YTicksDistance = 0.5,
                         XTicksDistance = 0.5):
  
  plot(cplot,
       Axes = Frame,
       Width = 8.5*unit::inch, 
       Height = 7*unit::inch):

Historique du fichier

Cliquer sur une date et une heure pour voir le fichier tel qu’il était à ce moment-là

Date et heureDimensionsUtilisateurCommentaire
actuel22 avril 2007 à 03:40850×700 (146 Kio)Inductiveload ({{Information |Description=Diagram of the absolute value real part of exponetial function in the complex plane, as the operand approaches infinity. The plot is given by: ::<math>z=\bigg|\operatorname{Re} \left (\exp \left( \frac{1}{x + i y} \right)\right))

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