DescriptionExponential Function (AbsReal Part at Infinity) Density.png	Diagram of the absolute value real part of exponetial function in the complex plane, as the operand approaches infinity. The plot is given by: ${\displaystyle z=|\mathrm{Re}(\exp \left(\frac{1}{x+iy}\right))|}$ 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	20 April 2007
Source	Own drawing, Plotted in MuPAD
Author	Inductiveload
Permission (Reusing this file)	Public domainPublic domainfalsefalse 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.

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):