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

Description

Diagram of the value of imaginary part of exponential 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. Red is smallest, blue is largest. Green is zero.
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.
Category:Self-published work#Exponential%20Function%20(Imag%20Part%20at%20Infinity)%20Density.pngCategory:PD-self#Exponential%20Function%20(Imag%20Part%20at%20Infinity)%20Density.png

MuPAD Code

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

  ylimit := 1:
  xlimit := 1:
  mesh := 1600:
  
  hsv := (x, y, z) -> RGB::fromHSV([121+85*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):
Category:Complex color plots of exponential function Category:MuPad graphics
Category:Complex color plots of exponential function Category:MuPad graphics Category:PD-self Category:Self-published work