File:Exponential Function (Abs Imag Part).png
| Description |
Diagram of the absolute value of the imaginary part of exponential function in the complex plane. The surface is given by: |
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| Date | |||
| Source | Own drawing, Plotted in MuPAD | ||
| Author | Inductiveload | ||
| Permission (Reusing this file) |
|
MuPAD Code
q := abs(Im(exp(x+I*y))):
conts := 21:
projectionlevel:=-10:
ylimit := 2*PI:
xlimit := 3:
submeshlevel := 5:
zmin := -10:
zmax := 10:
color := zip(RGB::SapGreen, RGB::LightBlue,
(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 = [23, 23],
Submesh = [submeshlevel,submeshlevel],
LineColor = RGB::Black.[0.4],
LineWidth = 0.15,
FillColorFunction = color,
AxesTitleFont = ["Courier New", Bold, 14],
ViewingBoxZRange = -10..10,
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"]
):
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::DarkGreen.[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:Surface plots of complex exponential function
Category:MuPad graphics