KirjeldusExponential Function (Abs Imag Part at Infinity).png	Diagram of the absolute value of the imaginary part of exponential function in the complex plane, as the operand approaches infinity. The plot is given by: ${\displaystyle z={\bigg |}\operatorname {Im} \left(\exp \left({\frac {1}{x+iy}}\right)\right){\bigg |}}$ The green stripe is caused by the plot being done at an insufficient resolution for the extremly (and infinitely) fine detail near 0.
Kuupäev	20. aprill 2007
Allikas	Own drawing, Plotted in MuPAD
Autor	Inductiveload
Luba (Faili edasikasutus)	Public domainPublic domainfalsefalse Selle teose autoriõiguste valdajana annan selle teose avalikku omandisse. See kehtib üleilmselt. Kui see pole mõnes riigis õiguslikult võimalik: Annan kõigile õiguse seda teost kasutada ükskõik mille jaoks, ilma ühegi tingimuseta, kui seadus neid just ei sea.

MuPAD Code

  q := abs(Im(exp(1/(x+I*y)))):

  conts := 21:
  projectionlevel:=-10:
  ylimit := 1:
  xlimit := 1:
  submeshlevel := 30:

zmin := 0:
zmax := 10:
color := zip(RGB::Red, RGB::SapGreen,
             (a, b) -> (q(x,y)-zmin)/(zmax-zmin)*a
                      +(zmax-q(x,y))/(zmax-zmin)*b):

funcplot := plot::Function3d(q(x,y),
                             x = -xlimit..xlimit,
                             y = -ylimit..ylimit,
                             Mesh = [25, 25],
                             Submesh = [submeshlevel,submeshlevel],
                             LineColor = RGB::Black.[0.4],
                             LineWidth = 0.15,
                             FillColorFunction = color,
                             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::Green.[0.99],
                                                XLinesVisible = FALSE,
                                                YLinesVisible = FALSE,
                                                Filled = FALSE
                                               )
                                  ):
                             
camera := plot::Camera([-20, -35, 300],
                       [0, 0, 0],
                       0.06
                      ):
                             
ploteverything := plot::Canvas(funcplot, contours, projcontours,
                               Width = 8.5*unit::inch, 
                               Height = 7*unit::inch,
                               camera
                               ): 
                          
plot(ploteverything)