File:Exponential Function (Real Part).png

Description

Diagram of the real part of exponential function in the complex plane. The surface is given by:
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).pngCategory:PD-self#Exponential%20Function%20(Real%20Part).png

MuPAD Code

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

  conts := 21:
  projectionlevel:=-10:
  ylimit := 2*PI:
  xlimit := 3:
  submeshlevel := 4:
  approx := 20:

colourfunc := zip(RGB::Red, RGB::Yellow,
                  (a, b) -> (q(x,y)+10)/(12)*a
                           -(q(x,y)-10)/(20)*b):

funcplot := plot::Function3d(q(x,y),
                             x = -xlimit..xlimit,
                             y = -ylimit..ylimit,
                             Mesh = [23, 23],
                             Submesh = [submeshlevel,submeshlevel],
                             LineColor = RGB::Black.[0.4],
                             LineWidth = 0.15,
                             FillColorFunction = colourfunc,
                             AxesTitleFont = ["Courier New", Bold, 14],
                             ViewingBoxZRange = -10..10
                            ):

contours := plot::modify(funcplot,
                         ZContours = [Automatic, conts],
                         LineWidth = 0.2,
                         LineColor = RGB::Gray90.[0.5],
                         XLinesVisible = FALSE,
                         YLinesVisible = FALSE,
                         Filled = FALSE
                        ):
                        
projcontours := plot::Transform3d([0, 0, projectionlevel],
                                  [1, 0, 0, 0, 1, 0, 0, 0, 0], 
                                   plot::modify(funcplot, ZContours = [Automatic, conts],
                                                LineWidth = 0.2,
                                                LineColorType = Dichromatic,
                                                LineColor = RGB::Red.[0.99],
                                                LineColor2 = RGB::Yellow.[0.99],
                                                XLinesVisible = FALSE,
                                                YLinesVisible = FALSE,
                                                Filled = FALSE
                                               )
                                  ):
                             
camera := plot::Camera([-25, -80, 120],
                       [-0.5, -1, 0],
                       0.15
                      ):
                             
ploteverything := plot::Canvas(funcplot, contours, projcontours,
                               Width = 8.5*unit::inch, 
                               Height = 7*unit::inch,
                               camera
                              ): 
                          
plot(ploteverything)
Category:Images with MuPad source code Category:Surface plots of complex exponential function
Category:Images with MuPad source code Category:PD-self Category:Self-published work Category:Surface plots of complex exponential function