File:Exponential Function (Abs Imag Part).png
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DescriptionExponential Function (Abs Imag Part).png |
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) |
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MuPAD Code
[edit]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)
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 19:19, 23 April 2007 | 1,700 × 1,400 (769 KB) | Inductiveload (talk | contribs) | {{Information |Description=Diagram of the absolute value of the real part of exponetial function in the complex plane. The surface is given by: ::<math>z=\bigg|\operatorname{Re} \left (\exp \left( x + i y \right)\right)\bigg|</math> |Source=Own drawing, P |
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