File:Exponential Function (Real Part) Density.png

Description

Diagram of the real part of exponetial function in the complex plane. The density is given by:

Blue represents high values, red represents low values. Please note that the colouring is non-linear (it is based on the ArcTan function, see the code below), and therefore a similar change in hue does NOT necessarily denote a similar change in value.
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(Real%20Part)%20Density.pngCategory:PD-self#Exponential%20Function%20(Real%20Part)%20Density.png

MuPAD Code


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

  ylimit := 2*PI:
  xlimit := 3:
  
  hsv := (x, y, z) -> RGB::fromHSV([120+85*arctan(z), 1, 1]):
  
  cplot := plot::Density(f, 
                         x = -xlimit..xlimit, 
                         y = -ylimit..ylimit, 
                         Mesh = [800, 800],
                         AxesTitleFont = ["Courier New", Bold, 14],
                         TicksLabelFont = ["Arial", 10],
                         FillColorFunction = hsv,
                         YTicksNumber = None,
                         YTicksAt = [-3*PI/2 = "-3 PI/2", -PI = "-PI", -PI/2 = "-PI/2", -2*PI = "-2 PI",
                                     0 = "0", 
                                     PI/2 = "PI/2", PI = "PI",  3*PI/2 = "3 PI/2", 2*PI = "2 PI"],
                         XTicksDistance = 0.5):
  
  plot(cplot,
       Axes = Frame,
       Width = 8.5*unit::inch, 
       Height = 7*unit::inch):
Category:Complex color plots of exponential function Category:Hue Category:MuPad graphics
Category:Complex color plots of exponential function Category:Hue Category:MuPad graphics Category:PD-self Category:Self-published work