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

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Original file(850 × 700 pixels, file size: 109 KB, MIME type: image/png)

Captions

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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:

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).
Date
Source Own drawing, Plotted in MuPAD
Author Inductiveload
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

MuPAD Code

[edit]
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):

File history

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Date/TimeThumbnailDimensionsUserComment
current23:07, 2 October 2016Thumbnail for version as of 23:07, 2 October 2016850 × 700 (109 KB)Cmdrjameson (talk | contribs)Compressed with pngout. Reduced by 36kB (25% decrease).
01:40, 22 April 2007Thumbnail for version as of 01:40, 22 April 2007850 × 700 (146 KB)Inductiveload (talk | contribs){{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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